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third_party/codec2/octave/H_4096_8192_3d.mat
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BIN
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third_party/codec2/octave/Mat2Hrows.m
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function [Hrows Hcols] = Mat2Hrows(HRA, RAmode);
H = full(HRA);
[Nr Nc] = size(H);
if nargin==1, RAmode = 1; end;
if RAmode==1
H= H(:,1:Nc-Nr);
[Nr Nc] = size(H);
end
Max_colwt = max(sum(H));
Max_rowwt = max(sum(H'));
Hcols = zeros(Nc, Max_colwt);
Hrows = zeros(Nr, Max_rowwt);
for i = 1:Nr
nz = find(H(i,:));
Hrows(i,1:length(nz)) = nz;
end
H = H';
for i = 1:Nc
nz = find(H(i,:));
Hcols(i,1:length(nz)) = nz;
end
third_party/codec2/octave/autotest.m
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+119
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% autotest.m
% David Rowe Mar 2015
%
% Helper functions to plot output of C version and difference between Octave and C versions
1;
function stem_sig_and_error(plotnum, subplotnum, sig, error, titlestr, axisvec)
global no_plot_list;
if find(no_plot_list == plotnum)
return;
end
figure(plotnum)
subplot(subplotnum)
stem(sig,'g;Octave version;');
hold on;
stem(error,'r;Octave - C version (hopefully 0);');
hold off;
if nargin == 6
axis(axisvec);
end
title(titlestr);
endfunction
function plot_sig_and_error(plotnum, subplotnum, sig, error, titlestr, axisvec)
global no_plot_list;
if find(no_plot_list == plotnum)
return;
end
figure(plotnum)
subplot(subplotnum)
plot(sig,'g;Octave version;');
hold on;
plot(error,'r;Octave - C version (hopefully 0);');
hold off;
if nargin == 6
axis(axisvec);
end
title(titlestr);
endfunction
function pass = check(a, b, test_name, tol, its_an_angle = 0)
global passes;
global fails;
if nargin == 3
tol = 1E-3;
end
[m n] = size(a);
if m > n
ll = m;
else
ll = n;
end
printf("%s", test_name);
for i=1:(25-length(test_name))
printf(".");
end
printf(": ");
if its_an_angle
% take into account pi is close to -pi for angles in rads
e = sum(sum(abs(exp(j*a) - exp(j*b)))/ll);
else
e = sum(sum(abs(a - b))/ll);
end
if e < tol
printf("OK\n");
pass = true;
passes++;
else
printf("FAIL (%f)\n",e);
pass = false;
fails++;
end
endfunction
function pass = check_no_abs(a, b, test_name)
global passes;
global fails;
tol = 1E-3;
[m n] = size(a);
if m > n
ll = m;
else
ll = n;
end
printf("%s", test_name);
for i=1:(25-length(test_name))
printf(".");
end
printf(": ");
e = sum(sum(a - b)/ll);
if e < tol
pass = true;
printf("OK\n");
passes++;
else
pass = false;
printf("FAIL (%f)\n",e);
fails++;
end
endfunction
third_party/codec2/octave/ch_fading.m
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+27
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% ch_fading.m
% David Rowe
% April 2018
% function to write float fading samples for use by C programs
function ch_fading(raw_file_name, Fs, dopplerSpreadHz, len_samples)
randn('seed',1);
spread = doppler_spread(dopplerSpreadHz, Fs, len_samples);
spread_2ms = doppler_spread(dopplerSpreadHz, Fs, len_samples);
hf_gain = 1.0/sqrt(var(spread)+var(spread_2ms));
printf("hf_gain: %f\n", hf_gain);
% interleave real imag samples
inter = zeros(1,len_samples*4);
inter(1:4) = hf_gain;
for i=1:len_samples
inter(i*4+1) = real(spread(i));
inter(i*4+2) = imag(spread(i));
inter(i*4+3) = real(spread_2ms(i));
inter(i*4+4) = imag(spread_2ms(i));
end
f = fopen(raw_file_name,"wb");
fwrite(f, inter, "float32");
fclose(f);
endfunction
third_party/codec2/octave/channel_lib.m
Vendored
+72
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% channel_lib.m
%
% Commonly used channel simulation functions
1;
function [spread1 spread2 path_delay_samples] = channel_multipath(channel, Fs, Nsam)
% Winlink multipath definitions
if strcmp(channel, 'mpg') dopplerSpreadHz = 0.1; path_delay_ms = 0.5;
elseif strcmp(channel, 'mpm') dopplerSpreadHz = 0.5; path_delay_ms = 1.0;
elseif strcmp(channel, 'mpp') dopplerSpreadHz = 1.0; path_delay_ms = 2.0;
elseif strcmp(channel, 'mpd') dopplerSpreadHz = 2.0; path_delay_ms = 4.0;
elseif strcmp(channel, 'mpf') dopplerSpreadHz = 4.0; path_delay_ms = 4.0;
elseif strcmp(channel, 'notch') dopplerSpreadHz = 0.0; path_delay_ms = 2.0;
elseif printf("Unknown multipath channel\n"); assert(0); end
path_delay_samples = path_delay_ms*Fs/1000;
%printf(" Doppler Spread: %3.2f Hz Path Delay: %3.2f ms %d samples\n", dopplerSpreadHz, path_delay_ms, path_delay_samples);
if strcmp(channel, "notch")
% simple notch filter (not time varying), hand tweaked to be 10dB down at about 1300 Hz (Fc-200Hz)
spread1 = 0.5*ones(1,Nsam);
spread2 = j*0.2*ones(1,Nsam);
else
% generate same fading pattern for every run
spread1 = doppler_spread(dopplerSpreadHz, Fs, Nsam);
spread2 = doppler_spread(dopplerSpreadHz, Fs, Nsam);
end
% sometimes doppler_spread() doesn't return exactly the number of samples we need
if length(spread1) < Nsam
printf("not enough doppler spreading samples %d %d\n", length(spread1), Nsam);
assert(0);
end
if length(spread2) < Nsam
printf("not enough doppler spreading samples %d %d\n", length(spread2), Nsam);
assert(0);
end
endfunction
% returns real rx signal with noise added, input is complex tx signal
function [rx_real rx sigma] = channel_simulate(Fs, SNR3kdB, freq_offset_Hz, channel, tx, verbose=0)
Nsam = length(tx);
rx = tx;
if strcmp(channel, 'awgn') == 0
[spread1 spread2 path_delay_samples] = channel_multipath(channel, Fs, Nsam);
rx = tx(1:Nsam) .* spread1(1:Nsam);
rx += [zeros(1,path_delay_samples) tx(1:Nsam-path_delay_samples)] .* spread2(1:Nsam);
end
woffset = 2*pi*freq_offset_Hz/Fs;
rx = rx .* exp(j*woffset*(1:Nsam));
rx_real = real(rx); S = rx_real*rx_real';
rpapr = 10*log10(max(abs(rx_real).^2)/mean(abs(rx_real).^2));
% SNR in a 4k bandwidth will be lower than 3k as total noise power N is higher
SNR4kdB = SNR3kdB - 10*log10(Fs/2) + 10*log10(3000); SNR = 10^(SNR4kdB/10);
N = S/SNR; sigma = sqrt(N/Nsam);
n = sigma*randn(1,Nsam);
% printf("SNR3kdB: %f SNR4kdB: %f N: %f %f\n", SNR3kdB, SNR4kdB, N, n*n');
rx_real += n;
% check our sums are OK to within 0.25 dB
SNR4kdB_measured = 10*log10(S/(n*n'));
assert (abs(SNR4kdB - SNR4kdB_measured) < 0.5);
if verbose
printf("foff: %3.1f Hz SNR(3k): %3.1f dB ", freq_offset_Hz, SNR3kdB);
printf("measSNR3k: %3.2f dB N: %3.2f dB\n",
10*log10(S/(n*n')) + 10*log10(4000) - 10*log10(3000), 10*log10(n*n'));
end
endfunction
third_party/codec2/octave/cohpsk_demod_plot.m
Vendored
+69
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% cohpsk_demod_plot.m
% David Rowe May 2015
%
% Plot Octave outputs from cohpsk_demod, c2dec, to visualise what's going on
% when errors hit the system
#{
$ ./cohpsk_get_test_bits - 5600 | ./cohpsk_mod - - | ./ch - - --No -40 | ./cohpsk_demod - - -o cohpsk_demod.txt | ./cohpsk_put_test_bits -
octave> cohpsk_demod_plot("../build_linux/src/cohpsk_demod.txt")
#}
function cohpsk_demod_plot(fn)
Nc=7; Nd=2; Ns=6;
load(fn);
Ncf = 100; % number of codec frames to plot
Nmf = Ncf/2; % number of modem frames to plot
Nms = Nmf*Ns; % number of modem symbols to plot
figure(1)
clf;
% plot combined signals to show diversity gains
combined = rx_symb_log_c(:,1:Nc);
for d=2:Nd
combined += rx_symb_log_c(:, (d-1)*Nc+1:d*Nc);
end
plot(combined*exp(j*pi/4)/sqrt(Nd),'+')
title('Scatter');
axis([-2 2 -2 2])
figure(2)
clf;
subplot(211)
plot(rx_phi_log_c(1:Nms,:))
title('phase')
axis([1 Nms -pi pi])
subplot(212)
plot(rx_amp_log_c(1:Nms,:))
title('amplitude')
axis([1 Nms 0 1])
figure(3)
subplot(211)
plot(rx_timing_log_c)
title('rx timing');
subplot(212)
stem(ratio_log_c)
title('Sync ratio');
figure(4)
plot(f_est_log_c - 1500)
title('freq offset est');
axis([1 Nmf -50 50])
figure(5)
y = 1:Nms;
x = 1:Nc*Nd;
z = 20*log10(rx_amp_log_c(1:Nms,:));
mesh(x,y,z);
grid
title('Channel Amplitude dB');
a = min(min(z));
b = max(max(z));
axis([1 Nc*Nd 1 Nms a b])
end
third_party/codec2/octave/cohpsk_dev.m
Vendored
+439
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% cohpsk_dev.m
% David Rowe Mar 2015
%
% Coherent PSK modem development and testing functions
%
cohpsk_lib;
% Init HF channel model from stored sample files of spreading signal ----------------------------------
function [spread spread_2ms hf_gain] = init_hf_model(Fs, nsam)
% convert "spreading" samples from 1kHz carrier at Fss to complex
% baseband, generated by passing a 1kHz sine wave through PathSim
% with the ccir-poor model, enabling one path at a time.
Fc = 1000; Fss = 8000;
fspread = fopen("../raw/sine1k_2Hz_spread.raw","rb");
spread1k = fread(fspread, "int16")/10000;
fclose(fspread);
fspread = fopen("../raw/sine1k_2ms_delay_2Hz_spread.raw","rb");
spread1k_2ms = fread(fspread, "int16")/10000;
fclose(fspread);
% down convert to complex baseband
spreadbb = spread1k.*exp(-j*(2*pi*Fc/Fss)*(1:length(spread1k))');
spreadbb_2ms = spread1k_2ms.*exp(-j*(2*pi*Fc/Fss)*(1:length(spread1k_2ms))');
% remove -2000 Hz image
b = fir1(50, 5/Fss);
spread = filter(b,1,spreadbb);
spread_2ms = filter(b,1,spreadbb_2ms);
% discard first 1000 samples as these were near 0, probably as
% PathSim states were ramping up
spread = spread(1000:length(spread));
spread_2ms = spread_2ms(1000:length(spread_2ms));
% change output samples so they are at rate Fs reqd by caller
spread = resample(spread, Fs, Fss);
spread_2ms = resample(spread_2ms, Fs, Fss);
% Determine "gain" of HF channel model, so we can normalise
% carrier power during HF channel sim to calibrate SNR. I imagine
% different implementations of ccir-poor would do this in
% different ways, leading to different BER results. Oh Well!
hf_gain = 1.0/sqrt(var(spread(1:nsam))+var(spread_2ms(1:nsam)));
endfunction
function write_pilot_file(pilot, Nsymbrowpilot, Ns, Nsymrow, Npilotsframe, Nc);
filename = sprintf("../src/cohpsk_defs.h", Npilotsframe, Nc);
f=fopen(filename,"wt");
fprintf(f,"/* Generated by write_pilot_file() Octave function */\n\n");
fprintf(f,"#define NSYMROW %d /* number of data symbols on each row (i.e. each carrier) */\n", Nsymrow);
fprintf(f,"#define NS %d /* number of data symbols between pilots */\n", Ns);
fprintf(f,"#define NPILOTSFRAME %d /* number of pilot symbols on each row */\n", Npilotsframe);
fprintf(f,"#define PILOTS_NC %d /* number of carriers */\n\n", Nc);
fprintf(f,"#define NSYMROWPILOT %d /* length of row after pilots inserted */\n\n", Nsymbrowpilot);
fclose(f);
filename = sprintf("../src/pilots_coh.h", Npilotsframe, Nc);
f=fopen(filename,"wt");
fprintf(f,"/* Generated by write_pilot_file() Octave function */\n\n");
fprintf(f,"float pilots_coh[][PILOTS_NC]={\n");
for r=1:Npilotsframe
fprintf(f, " {");
for c=1:Nc-1
fprintf(f, " %f,", pilot(r, c));
end
if r < Npilotsframe
fprintf(f, " %f},\n", pilot(r, Nc));
else
fprintf(f, " %f}\n};", pilot(r, Nc));
end
end
fclose(f);
endfunction
% Save test bits frame to a text file in the form of a C array
function test_bits_coh_file(test_bits_coh)
f=fopen("../src/test_bits_coh.h","wt");
fprintf(f,"/* Generated by test_bits_coh_file() Octave function */\n\n");
fprintf(f,"const int test_bits_coh[]={\n");
for m=1:length(test_bits_coh)-1
fprintf(f," %d,\n",test_bits_coh(m));
endfor
fprintf(f," %d\n};\n",test_bits_coh(length(test_bits_coh)));
fclose(f);
endfunction
% Rate Rs BER tests ------------------------------------------------------------------------------
function sim_out = ber_test(sim_in)
sim_in = symbol_rate_init(sim_in);
Fs = sim_in.Fs;
Rs = sim_in.Rs;
Ntrials = sim_in.Ntrials;
verbose = sim_in.verbose;
plot_scatter = sim_in.plot_scatter;
framesize = sim_in.framesize;
bps = sim_in.bps;
Esvec = sim_in.Esvec;
ldpc_code = sim_in.ldpc_code;
rate = sim_in.ldpc_code_rate;
code_param = sim_in.code_param;
tx_bits_buf = sim_in.tx_bits_buf;
Nsymb = sim_in.Nsymb;
Nsymbrow = sim_in.Nsymbrow;
Nsymbrowpilot = sim_in.Nsymbrowpilot;
Nc = sim_in.Nc;
Npilotsframe = sim_in.Npilotsframe;
Ns = sim_in.Ns;
Np = sim_in.Np;
Nd = sim_in.Nd;
modulation = sim_in.modulation;
pilot = sim_in.pilot;
prev_sym_tx = sim_in.prev_sym_tx;
prev_sym_rx = sim_in.prev_sym_rx;
rx_symb_buf = sim_in.rx_symb_buf;
tx_pilot_buf = sim_in.tx_pilot_buf;
rx_pilot_buf = sim_in.rx_pilot_buf;
hf_sim = sim_in.hf_sim;
nhfdelay = sim_in.hf_delay_ms*Rs/1000;
hf_mag_only = sim_in.hf_mag_only;
f_off = sim_in.f_off;
div_time_shift = sim_in.div_timeshift;
[spread spread_2ms hf_gain] = init_hf_model(Rs, Nsymbrowpilot*(Ntrials+2));
if strcmp(modulation,'dqpsk')
Nsymbrowpilot = Nsymbrow;
end
% Start Simulation ----------------------------------------------------------------
for ne = 1:length(Esvec)
EsNodB = Esvec(ne);
EsNo = 10^(EsNodB/10);
variance = 1/EsNo;
if verbose > 1
printf("EsNo (dB): %f EsNo: %f variance: %f\n", EsNodB, EsNo, variance);
end
Terrs = 0; Tbits = 0;
s_ch_tx_log = [];
rx_symb_log = [];
noise_log = [];
errors_log = [];
Nerrs_log = [];
phi_log = [];
amp_log = [];
EsNo__log = [];
ldpc_errors_log = []; ldpc_Nerrs_log = [];
Terrsldpc = Tbitsldpc = Ferrsldpc = 0;
% init HF channel
hf_n = 1;
phase_offset_rect = 1;
w_offset = 2*pi*f_off/Rs;
w_offset_rect = exp(j*w_offset);
ct_symb_buf = zeros(2*Nsymbrowpilot, Nc*Nd);
prev_tx_symb = prev_rx_symb = ones(1, Nc*Nd);
% simulation starts here-----------------------------------
for nn = 1:Ntrials+2
if ldpc_code
tx_bits = round(rand(1,framesize*rate));
else
tx_bits = round(rand(1,framesize));
end
if strcmp(modulation,'qpsk')
[tx_symb tx_bits] = bits_to_qpsk_symbols(sim_in, tx_bits, code_param);
% one frame delay on bits for qpsk
tx_bits_buf(1:framesize) = tx_bits_buf(framesize+1:2*framesize);
tx_bits_buf(framesize+1:2*framesize) = tx_bits;
end
if strcmp(modulation, 'dqpsk')
[tx_symb prev_tx_symb] = bits_to_dqpsk_symbols(sim_in, tx_bits, prev_tx_symb);
tx_bits_buf(1:framesize) = tx_bits;
end
s_ch = tx_symb;
% HF channel simulation ------------------------------------
hf_fading = ones(1,Nsymb);
if hf_sim
% separation between carriers. Note this effectively
% under samples at Rs, I dont think this matters.
% Equivalent to doing freq shift at Fs, then
% decimating to Rs.
wsep = 2*pi*(1+0.5); % e.g. 75Hz spacing at Rs=50Hz, alpha=0.5 filters
hf_model(hf_n, :) = zeros(1,Nc*Nd);
for r=1:Nsymbrowpilot
for c=1:Nd*Nc
if c > Nc
time_shift = sim_in.div_timeshift;
else
time_shift = 1;
end
ahf_model = hf_gain*(spread(hf_n+time_shift) + exp(-j*c*wsep*nhfdelay)*spread_2ms(hf_n+time_shift));
if hf_mag_only
s_ch(r,c) *= abs(ahf_model);
else
s_ch(r,c) *= ahf_model;
end
hf_model(hf_n, c) = ahf_model;
end
hf_n++;
end
end
% keep a record of each tx symbol so we can check average power
for r=1:Nsymbrow
for c=1:Nd*Nc
s_ch_tx_log = [s_ch_tx_log s_ch(r,c)];
end
end
% AWGN noise and phase/freq offset channel simulation
% 0.5 factor ensures var(noise) == variance , i.e. splits power between Re & Im
noise = sqrt(variance*0.5)*(randn(Nsymbrowpilot,Nc*Nd) + j*randn(Nsymbrowpilot,Nc*Nd));
noise_log = [noise_log noise];
for r=1:Nsymbrowpilot
s_ch(r,:) *= phase_offset_rect;
phase_offset_rect *= w_offset_rect;
end
s_ch += noise;
ct_symb_buf(1:Nsymbrowpilot,:) = ct_symb_buf(Nsymbrowpilot+1:2*Nsymbrowpilot,:);
ct_symb_buf(Nsymbrowpilot+1:2*Nsymbrowpilot,:) = s_ch;
if strcmp(modulation,'qpsk')
[rx_symb rx_bits rx_symb_linear amp_ phi_ sig_rms noise_rms sim_in] = qpsk_symbols_to_bits(sim_in, ct_symb_buf(1:Nsymbrowpilot+Npilotsframe,:));
phi_log = [phi_log; phi_];
amp_log = [amp_log; amp_];
end
if strcmp(modulation,'dqpsk')
[rx_symb rx_bits rx_symb_linear prev_rx_symb] = dqpsk_symbols_to_bits(sim_in, s_ch, prev_rx_symb);
end
% Wait until we have enough frames to do pilot assisted phase estimation
if nn > 1
rx_symb_log = [rx_symb_log rx_symb_linear];
%EsNo__log = [EsNo__log EsNo_];
% Measure BER
error_positions = xor(rx_bits, tx_bits_buf(1:framesize));
Nerrs = sum(error_positions);
Terrs += Nerrs;
Tbits += length(tx_bits);
errors_log = [errors_log error_positions];
Nerrs_log = [Nerrs_log Nerrs];
% Optionally LDPC decode
if ldpc_code
detected_data = ldpc_dec(code_param, sim_in.max_iterations, sim_in.demod_type, sim_in.decoder_type, ...
rx_symb_linear, min(100,EsNo_), amp_linear);
error_positions = xor( detected_data(1:framesize*rate), tx_bits_buf(1:framesize*rate) );
Nerrs = sum(error_positions);
ldpc_Nerrs_log = [ldpc_Nerrs_log Nerrs];
ldpc_errors_log = [ldpc_errors_log error_positions];
if Nerrs
Ferrsldpc++;
end
Terrsldpc += Nerrs;
Tbitsldpc += framesize*rate;
end
end
end
TERvec(ne) = Terrs;
BERvec(ne) = Terrs/Tbits;
if verbose
av_tx_pwr = (s_ch_tx_log * s_ch_tx_log')/length(s_ch_tx_log);
printf("EsNo (dB): %3.1f Terrs: %d Tbits: %d BER %5.3f QPSK BER theory %5.3f av_tx_pwr: %3.2f",
EsNodB, Terrs, Tbits,
Terrs/Tbits, 0.5*erfc(sqrt(EsNo/2)), av_tx_pwr);
if ldpc_code
printf("\n LDPC: Terrs: %d BER: %4.2f Ferrs: %d FER: %4.2f",
Terrsldpc, Terrsldpc/Tbitsldpc, Ferrsldpc, Ferrsldpc/Ntrials);
end
printf("\n");
end
end
Ebvec = Esvec - 10*log10(bps);
sim_out.BERvec = BERvec;
sim_out.Ebvec = Ebvec;
sim_out.TERvec = TERvec;
sim_out.errors_log = errors_log;
sim_out.ldpc_errors_log = ldpc_errors_log;
if plot_scatter
figure(2);
clf;
scat = rx_symb_log .* exp(j*pi/4);
plot(real(scat), imag(scat),'+');
title('Scatter plot');
a = 1.5*max(real(scat)); b = 1.5*max(imag(scat));
axis([-a a -b b]);
if hf_sim
figure(3);
clf;
y = 1:(hf_n-1);
x = 1:Nc*Nd;
EsNodBSurface = 20*log10(abs(hf_model(y,:))) - 10*log10(variance);
EsNodBSurface(find(EsNodBSurface < -5)) = -5;
EsNodBSurface(find(EsNodBSurface > 25)) = 25;
mesh(x,y,EsNodBSurface);
grid
axis([1 Nc*Nd 1 Rs*5 -5 25])
title('HF Channel Es/No');
if verbose
[m n] = size(hf_model);
av_hf_pwr = sum(sum(abs(hf_model(:,:)).^2))/(m*n);
printf("average HF power: %3.2f over %d symbols\n", av_hf_pwr, m*n);
end
end
if strcmp(modulation,'qpsk')
% set up time axis to include gaps for pilots
[m1 n1] = size(phi_log);
phi_x = [];
phi_x_counter = 1;
p = Ns;
for r=1:m1
if p == Ns
phi_x_counter += Npilotsframe;
p = 0;
end
p++;
phi_x = [phi_x phi_x_counter++];
end
phi_x -= Nsymbrowpilot; % account for delay in pilot buffer
figure(5);
clf
subplot(211)
[m n] = size(phi_log);
plot(phi_x, phi_log(:,2),'r+;Estimated HF channel phase;')
if hf_sim
hold on;
[m n] = size(hf_model);
plot(angle(hf_model(1:m,2)),'g;HF channel phase;')
hold off;
end
ylabel('Phase (rads)');
legend('boxoff');
axis([1 m -1.1*pi 1.1*pi])
subplot(212)
plot(phi_x, amp_log(:,2),'r+;Estimated HF channel amp;')
if hf_sim
hold on;
plot(abs(hf_model(1:m,2)))
hold off;
end
ylabel('Amplitude');
xlabel('Time (symbols)');
legend('boxoff');
axis([1 m 0 3])
end
figure(4)
clf
stem(Nerrs_log)
axis([1 length(Nerrs_log) 0 max(Nerrs_log)+1])
end
endfunction
function sim_in = standard_init
sim_in.verbose = 1;
sim_in.do_write_pilot_file = 0;
sim_in.plot_scatter = 0;
sim_in.Esvec = 50;
sim_in.Ntrials = 30;
sim_in.framesize = 2;
sim_in.Rs = 50;
sim_in.phase_offset = 0;
sim_in.w_offset = 0;
sim_in.phase_noise_amp = 0;
sim_in.hf_delay_ms = 2;
sim_in.hf_sim = 0;
sim_in.hf_mag_only = 0;
sim_in.Nd = 1;
endfunction
third_party/codec2/octave/cohpsk_lib.m
Vendored
+509
View File
@@ -0,0 +1,509 @@
% cohpsk_lib.m
% David Rowe Mar 2015
%
% Coherent PSK modem functions
%
1;
% Gray coded QPSK modulation function
function symbol = qpsk_mod(two_bits)
two_bits_decimal = sum(two_bits .* [2 1]);
switch(two_bits_decimal)
case (0) symbol = 1;
case (1) symbol = j;
case (2) symbol = -j;
case (3) symbol = -1;
endswitch
endfunction
% Gray coded QPSK demodulation function
function two_bits = qpsk_demod(symbol)
if isscalar(symbol) == 0
printf("only works with scalars\n");
return;
end
bit0 = real(symbol*exp(j*pi/4)) < 0;
bit1 = imag(symbol*exp(j*pi/4)) < 0;
two_bits = [bit1 bit0];
endfunction
% init function for symbol rate processing --------------------------------------------------------
function sim_in = symbol_rate_init(sim_in)
sim_in.Fs = Fs = 8000;
modulation = sim_in.modulation;
verbose = sim_in.verbose;
framesize = sim_in.framesize;
Ntrials = sim_in.Ntrials;
Esvec = sim_in.Esvec;
phase_offset = sim_in.phase_offset;
w_offset = sim_in.w_offset;
plot_scatter = sim_in.plot_scatter;
Rs = sim_in.Rs;
Nc = sim_in.Nc;
hf_sim = sim_in.hf_sim;
nhfdelay = sim_in.hf_delay_ms*Rs/1000;
hf_mag_only = sim_in.hf_mag_only;
Nd = sim_in.Nd; % diveristy
Ns = sim_in.Ns; % step size between pilots
ldpc_code = sim_in.ldpc_code;
rate = sim_in.ldpc_code_rate;
sim_in.bps = bps = 2;
sim_in.Nsymb = Nsymb = framesize/bps;
sim_in.Nsymbrow = Nsymbrow = Nsymb/Nc;
sim_in.Npilotsframe = Npilotsframe = 2;
sim_in.Nsymbrowpilot = Nsymbrowpilot = Nsymbrow + Npilotsframe;
if verbose == 2
printf("Each frame contains %d data bits or %d data symbols, transmitted as %d symbols by %d carriers.", framesize, Nsymb, Nsymbrow, Nc);
printf(" There are %d pilot symbols in each carrier together at the start of each frame, then %d data symbols.", Npilotsframe, Ns);
printf(" Including pilots, the frame is %d symbols long by %d carriers.\n\n", Nsymbrowpilot, Nc);
end
sim_in.prev_sym_tx = qpsk_mod([0 0])*ones(1,Nc*Nd);
sim_in.prev_sym_rx = qpsk_mod([0 0])*ones(1,Nc*Nd);
sim_in.rx_symb_buf = zeros(3*Nsymbrow, Nc*Nd);
sim_in.rx_pilot_buf = zeros(3*Npilotsframe,Nc*Nd);
sim_in.tx_bits_buf = zeros(1,2*framesize);
% pilot sequence is used for phase and amplitude estimation, and frame sync
pilot = 1 - 2*(rand(Npilotsframe,Nc) > 0.5);
sim_in.pilot = pilot;
sim_in.tx_pilot_buf = [pilot; pilot; pilot];
if sim_in.do_write_pilot_file
write_pilot_file(pilot, Nsymbrowpilot, Ns, Nsymbrow, Npilotsframe, Nc);
end
% we use first 2 pilots of next frame to help with frame sync and fine freq
sim_in.Nct_sym_buf = 2*Nsymbrowpilot + 2;
sim_in.ct_symb_buf = zeros(sim_in.Nct_sym_buf, Nc*Nd);
sim_in.ff_phase = 1;
sim_in.ct_symb_ff_buf = zeros(Nsymbrowpilot + 2, Nc*Nd);
% Init LDPC --------------------------------------------------------------------
if ldpc_code
% Start CML library
currentdir = pwd;
addpath '~/cml/mat' % assume the source files stored here
cd ~/cml
CmlStartup % note that this is not in the cml path!
cd(currentdir)
% Our LDPC library
ldpc;
mod_order = 4;
modulation2 = 'QPSK';
mapping = 'gray';
sim_in.demod_type = 0;
sim_in.decoder_type = 0;
sim_in.max_iterations = 100;
code_param = ldpc_init(rate, framesize, modulation2, mod_order, mapping);
code_param.code_bits_per_frame = framesize;
code_param.symbols_per_frame = framesize/bps;
sim_in.code_param = code_param;
else
sim_in.rate = 1;
sim_in.code_param = [];
end
endfunction
% Symbol rate processing for tx side (modulator) -------------------------------------------------------
% legacy DQPSK mod for comparative testing
function [tx_symb prev_tx_symb] = bits_to_dqpsk_symbols(sim_in, tx_bits, prev_tx_symb)
Nc = sim_in.Nc;
Nsymbrow = sim_in.Nsymbrow;
tx_symb = zeros(Nsymbrow,Nc);
for c=1:Nc
for r=1:Nsymbrow
i = (c-1)*Nsymbrow + r;
tx_symb(r,c) = qpsk_mod(tx_bits(2*(i-1)+1:2*i));
tx_symb(r,c) *= prev_tx_symb(c);
prev_tx_symb(c) = tx_symb(r,c);
end
end
endfunction
% legacy DQPSK demod for comparative testing
function [rx_symb rx_bits rx_symb_linear prev_rx_symb] = dqpsk_symbols_to_bits(sim_in, rx_symb, prev_rx_symb)
Nc = sim_in.Nc;
Nsymbrow = sim_in.Nsymbrow;
tx_symb = zeros(Nsymbrow,Nc);
for c=1:Nc
for r=1:Nsymbrow
tmp = rx_symb(r,c);
rx_symb(r,c) *= conj(prev_rx_symb(c))/abs(prev_rx_symb(c));
prev_rx_symb(c) = tmp;
i = (c-1)*Nsymbrow + r;
rx_symb_linear(i) = rx_symb(r,c);
rx_bits((2*(i-1)+1):(2*i)) = qpsk_demod(rx_symb(r,c));
end
end
endfunction
function [tx_symb tx_bits] = bits_to_qpsk_symbols(sim_in, tx_bits, code_param)
ldpc_code = sim_in.ldpc_code;
rate = sim_in.ldpc_code_rate;
framesize = sim_in.framesize;
Nsymbrow = sim_in.Nsymbrow;
Nsymbrowpilot = sim_in.Nsymbrowpilot;
Nc = sim_in.Nc;
Npilotsframe = sim_in.Npilotsframe;
Ns = sim_in.Ns;
modulation = sim_in.modulation;
pilot = sim_in.pilot;
Nd = sim_in.Nd;
if ldpc_code
[tx_bits, tmp] = ldpc_enc(tx_bits, code_param);
end
% modulate --------------------------------------------
% organise symbols into a Nsymbrow rows by Nc cols
% data and parity bits are on separate carriers
tx_symb = zeros(Nsymbrow,Nc);
for c=1:Nc
for r=1:Nsymbrow
i = (c-1)*Nsymbrow + r;
tx_symb(r,c) = qpsk_mod(tx_bits(2*(i-1)+1:2*i));
end
end
% insert pilots at start of frame
tx_symb = [pilot(1,:); pilot(2,:); tx_symb;];
% copy to other carriers (diversity)
tmp = tx_symb;
for d=1:Nd-1
tmp = [tmp tx_symb];
end
tx_symb = tmp;
% ensures energy/symbol is normalised with diversity
tx_symb = tx_symb/sqrt(Nd);
endfunction
% Symbol rate processing for rx side (demodulator) -------------------------------------------------------
function [rx_symb rx_bits rx_symb_linear amp_ phi_ sig_rms noise_rms cohpsk] = qpsk_symbols_to_bits(cohpsk, ct_symb_buf)
framesize = cohpsk.framesize;
Nsymb = cohpsk.Nsymb;
Nsymbrow = cohpsk.Nsymbrow;
Nsymbrowpilot = cohpsk.Nsymbrowpilot;
Nc = cohpsk.Nc;
Nd = cohpsk.Nd;
Npilotsframe = cohpsk.Npilotsframe;
pilot = cohpsk.pilot;
verbose = cohpsk.verbose;
coh_en = cohpsk.coh_en;
% Use pilots to get phase and amplitude estimates We assume there
% are two samples at the start of each frame and two at the end
% Note: correlation (averging) method was used initially, but was
% poor at tracking fast phase changes that we experience on fading
% channels. Linear regression (fitting a straight line) works
% better on fading channels, but increases BER slightly for AWGN
% channels.
sampling_points = [1 2 cohpsk.Nsymbrow+3 cohpsk.Nsymbrow+4];
pilot2 = [cohpsk.pilot(1,:); cohpsk.pilot(2,:); cohpsk.pilot(1,:); cohpsk.pilot(2,:);];
phi_ = zeros(Nsymbrow, Nc*Nd);
amp_ = zeros(Nsymbrow, Nc*Nd);
for c=1:Nc*Nd
y = ct_symb_buf(sampling_points,c) .* pilot2(:,c-Nc*floor((c-1)/Nc));
[m b] = linreg(sampling_points, y, length(sampling_points));
yfit = m*[3 4 5 6] + b;
phi_(:, c) = angle(yfit);
mag = sum(abs(ct_symb_buf(sampling_points,c)));
amp_(:, c) = mag/length(sampling_points);
end
% now correct phase of data symbols
rx_symb = zeros(Nsymbrow, Nc);
rx_symb_linear = zeros(1, Nsymbrow*Nc*Nd);
rx_bits = zeros(1, framesize);
for c=1:Nc*Nd
for r=1:Nsymbrow
if coh_en == 1
rx_symb(r,c) = ct_symb_buf(2+r,c)*exp(-j*phi_(r,c));
else
rx_symb(r,c) = ct_symb_buf(2+r,c);
end
i = (c-1)*Nsymbrow + r;
rx_symb_linear(i) = rx_symb(r,c);
end
end
% and finally optional diversity combination and make decn on bits
for c=1:Nc
for r=1:Nsymbrow
i = (c-1)*Nsymbrow + r;
div_symb = rx_symb(r,c);
for d=1:Nd-1
div_symb += rx_symb(r,c + Nc*d);
end
rx_bits((2*(i-1)+1):(2*i)) = qpsk_demod(div_symb);
end
end
% Estimate noise power from demodulated symbols. One method is to
% calculate the distance of each symbol from the average symbol
% position. However this is complicated by fading, which means the
% amplitude of the symbols is constantly changing.
% Now the scatter diagram in a fading channel is a X or cross
% shape. The noise can be resolved into two components at right
% angles to each other. The component along the the "thickness"
% of the arms is proportional to the noise power and not affected
% by fading. We only use points further along the real axis than
% the mean amplitude so we keep out of the central nosiey blob
sig_rms = mean(abs(rx_symb_linear));
sum_x = 0;
sum_xx = 0;
n = 0;
for i=1:Nsymb*Nd
s = rx_symb_linear(i);
if abs(real(s)) > sig_rms
sum_x += imag(s);
sum_xx += imag(s)*imag(s);
n++;
end
end
noise_var = 0;
if n > 1
noise_var = (n*sum_xx - sum_x*sum_x)/(n*(n-1));
end
noise_rms = sqrt(noise_var);
endfunction
function [ch_symb rx_timing rx_filt rx_baseband afdmdv f_est] = rate_Fs_rx_processing(afdmdv, ch_fdm_frame, f_est, nsymb, nin, freq_track)
M = afdmdv.M;
rx_baseband = [];
rx_filt = [];
rx_timing = [];
ch_fdm_frame_index = 1;
for r=1:nsymb
% shift signal to nominal baseband, this will put Nc/2 carriers either side of 0 Hz
[rx_fdm_frame_bb afdmdv.fbb_phase_rx] = freq_shift(ch_fdm_frame(ch_fdm_frame_index:ch_fdm_frame_index + nin - 1), -f_est, afdmdv.Fs, afdmdv.fbb_phase_rx);
ch_fdm_frame_index += nin;
% downconvert each FDM carrier to Nc separate baseband signals
[arx_baseband afdmdv] = fdm_downconvert(afdmdv, rx_fdm_frame_bb, nin);
[arx_filt afdmdv] = rx_filter(afdmdv, arx_baseband, nin);
[rx_onesym arx_timing env afdmdv] = rx_est_timing(afdmdv, arx_filt, nin);
rx_baseband = [rx_baseband arx_baseband];
rx_filt = [rx_filt arx_filt];
rx_timing = [rx_timing arx_timing];
ch_symb(r,:) = rx_onesym;
% we only allow a timing shift on one symbol per frame
if nin != M
nin = M;
end
% freq tracking, see test_ftrack.m for unit test. Placed in
% this function as it needs to work on a symbol by symbol basis
% rather than frame by frame. This means the control loop
% operates at a sample rate of Rs = 50Hz for say 1 Hz/s drift.
if freq_track
beta = 0.005;
g = 0.2;
% combine difference on phase from last symbol over Nc carriers
mod_strip = 0;
for c=1:afdmdv.Nc+1
adiff = rx_onesym(c) .* conj(afdmdv.prev_rx_symb(c));
afdmdv.prev_rx_symb(c) = rx_onesym(c);
% 4th power strips QPSK modulation, by multiplying phase by 4
% Using the abs value of the real coord was found to help
% non-linear issues when noise power was large
amod_strip = adiff.^4;
amod_strip = abs(real(amod_strip)) + j*imag(amod_strip);
mod_strip += amod_strip;
end
% loop filter made up of 1st order IIR plus integrator. Integerator
% was found to be reqd
afdmdv.filt = (1-beta)*afdmdv.filt + beta*angle(mod_strip);
f_est += g*afdmdv.filt;
end
end
endfunction
function ct_symb_buf = update_ct_symb_buf(ct_symb_buf, ch_symb, Nct_sym_buf, Nsymbrowpilot)
% update memory in symbol buffer
for r=1:Nct_sym_buf-Nsymbrowpilot
ct_symb_buf(r,:) = ct_symb_buf(r+Nsymbrowpilot,:);
end
i = 1;
for r=Nct_sym_buf-Nsymbrowpilot+1:Nct_sym_buf
ct_symb_buf(r,:) = ch_symb(i,:);
i++;
end
endfunction
% returns index of start of frame and fine freq offset
function [next_sync cohpsk] = frame_sync_fine_freq_est(cohpsk, ch_symb, sync, next_sync)
ct_symb_buf = cohpsk.ct_symb_buf;
Nct_sym_buf = cohpsk.Nct_sym_buf;
Rs = cohpsk.Rs;
Nsymbrowpilot = cohpsk.Nsymbrowpilot;
Nc = cohpsk.Nc;
Nd = cohpsk.Nd;
ct_symb_buf = update_ct_symb_buf(ct_symb_buf, ch_symb, Nct_sym_buf, Nsymbrowpilot);
cohpsk.ct_symb_buf = ct_symb_buf;
% sample pilots at start of this frame and start of next frame
sampling_points = [1 2 cohpsk.Nsymbrow+3 cohpsk.Nsymbrow+4];
pilot2 = [ cohpsk.pilot(1,:); cohpsk.pilot(2,:); cohpsk.pilot(1,:); cohpsk.pilot(2,:);];
if sync == 0
% sample correlation over 2D grid of time and fine freq points
max_corr = 0;
for f_fine=-20:0.25:20
f_fine_rect = exp(-j*f_fine*2*pi*sampling_points/Rs)'; % note: this could be pre-computed at init or compile time
for t=0:cohpsk.Nsymbrowpilot-1
corr = 0; mag = 0;
for c=1:Nc*Nd
f_corr_vec = f_fine_rect .* ct_symb_buf(t+sampling_points,c); % note: this could be pre-computed at init or compile time
acorr = 0.0;
for p=1:length(sampling_points)
acorr += pilot2(p,c-Nc*floor((c-1)/Nc)) * f_corr_vec(p);
mag += abs(f_corr_vec(p));
end
corr += abs(acorr);
end
if corr >= max_corr
max_corr = corr;
max_mag = mag;
cohpsk.ct = t;
cohpsk.f_fine_est = f_fine;
cohpsk.ff_rect = exp(-j*f_fine*2*pi/Rs);
end
end
end
printf(" [%d] fine freq f: %f max_ratio: %f ct: %d\n", cohpsk.frame, cohpsk.f_fine_est, abs(max_corr)/max_mag, cohpsk.ct);
if abs(max_corr/max_mag) > 0.9
printf(" [%d] encouraging sync word! ratio: %f\n", cohpsk.frame, abs(max_corr/max_mag));
cohpsk.sync_timer = 0;
next_sync = 1;
else
next_sync = 0;
end
cohpsk.ratio = abs(max_corr/max_mag);
end
% single point correlation just to see if we are still in sync
if sync == 1
corr = 0; mag = 0;
f_fine_rect = exp(-j*cohpsk.f_fine_est*2*pi*sampling_points/Rs)';
for c=1:Nc*Nd
f_corr_vec = f_fine_rect .* ct_symb_buf(cohpsk.ct+sampling_points,c);
acorr = 0;
for p=1:length(sampling_points)
acorr += pilot2(p, c-Nc*floor((c-1)/Nc)) * f_corr_vec(p);
mag += abs(f_corr_vec(p));
end
corr += abs(acorr);
end
cohpsk.ratio = abs(corr)/mag;
end
endfunction
% misc sync state machine code, just wanted it in a function
function [sync cohpsk] = sync_state_machine(cohpsk, sync, next_sync)
if sync == 1
% check that sync is still good, fall out of sync on consecutive bad frames */
if cohpsk.ratio < 0.8
cohpsk.sync_timer++;
else
cohpsk.sync_timer = 0;
end
if cohpsk.sync_timer == 10
printf(" [%d] lost sync ....\n", cohpsk.frame);
next_sync = 0;
end
end
sync = next_sync;
endfunction
third_party/codec2/octave/crc16.m
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% crc16.m
%
%The CRC calculation is based on following generator polynomial:
%G(x) = x16 + x12 + x5 + 1
%
%The register initial value of the implementation is: 0xFFFF
%
%used data = string -> 1 2 3 4 5 6 7 8 9
%
% Online calculator to check the script:
%http://www.lammertbies.nl/comm/info/crc-calculation.html
%
%
function crc = crc16(data)
% crc look up table
Crc_ui16LookupTable=[0,4129,8258,12387,16516,20645,24774,28903,33032,37161,41290,45419,49548,...
53677,57806,61935,4657,528,12915,8786,21173,17044,29431,25302,37689,33560,45947,41818,54205,...
50076,62463,58334,9314,13379,1056,5121,25830,29895,17572,21637,42346,46411,34088,38153,58862,...
62927,50604,54669,13907,9842,5649,1584,30423,26358,22165,18100,46939,42874,38681,34616,63455,...
59390,55197,51132,18628,22757,26758,30887,2112,6241,10242,14371,51660,55789,59790,63919,35144,...
39273,43274,47403,23285,19156,31415,27286,6769,2640,14899,10770,56317,52188,64447,60318,39801,...
35672,47931,43802,27814,31879,19684,23749,11298,15363,3168,7233,60846,64911,52716,56781,44330,...
48395,36200,40265,32407,28342,24277,20212,15891,11826,7761,3696,65439,61374,57309,53244,48923,...
44858,40793,36728,37256,33193,45514,41451,53516,49453,61774,57711,4224,161,12482,8419,20484,...
16421,28742,24679,33721,37784,41979,46042,49981,54044,58239,62302,689,4752,8947,13010,16949,...
21012,25207,29270,46570,42443,38312,34185,62830,58703,54572,50445,13538,9411,5280,1153,29798,...
25671,21540,17413,42971,47098,34713,38840,59231,63358,50973,55100,9939,14066,1681,5808,26199,...
30326,17941,22068,55628,51565,63758,59695,39368,35305,47498,43435,22596,18533,30726,26663,6336,...
2273,14466,10403,52093,56156,60223,64286,35833,39896,43963,48026,19061,23124,27191,31254,2801,6864,...
10931,14994,64814,60687,56684,52557,48554,44427,40424,36297,31782,27655,23652,19525,15522,11395,...
7392,3265,61215,65342,53085,57212,44955,49082,36825,40952,28183,32310,20053,24180,11923,16050,3793,7920];
ui16RetCRC16 = hex2dec('FFFF');
for I=1:length(data)
ui8LookupTableIndex = bitxor(data(I),uint8(bitshift(ui16RetCRC16,-8)));
ui16RetCRC16 = bitxor(Crc_ui16LookupTable(double(ui8LookupTableIndex)+1),mod(bitshift(ui16RetCRC16,8),65536));
end
crc=dec2hex(ui16RetCRC16);
endfunction
third_party/codec2/octave/diff_fft_mag.m
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% Compare the magnitude spectrum of two int16 raw files
function diff_fft_mag(filename1, filename2, threshdB = -40, ignore=1000)
% load samples and ignore any start up transients
s1 = load_raw(filename1)';
s1 = s1(ignore:end);
s2 = load_raw(filename2)';
s2 = s2(ignore:end);
len = min([length(s1) length(s2)]);
s1 = s1(1:len); s2 = s2(1:len);
S1 = abs(fft(s1.*hanning(length(s1))'));
S2 = abs(fft(s2.*hanning(length(s2))'));
figure(1): clf;
plot(20*log10(S1)); hold on; plot(20*log10(S2)); plot(20*log10(abs(S1-S2)),'r'); hold off;
error = S1 - S2;
error_energy = error*error';
ratio = error_energy/(S1*S1');
ratio_dB = 10*log10(ratio);
printf("ratio_dB: %4.2f\n", ratio_dB);
if ratio_dB < threshdB
printf('PASS\n');
else
printf('FAIL\n');
end
endfunction
third_party/codec2/octave/doppler_spread.m
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% doppler_spread.m
% David Rowe Jan 2016
%
% Returns gausssian filtered doppler spreading function samples for HF channel
% modelling. Used PathSim technical guide as a reference - thanks Moe!
function [spread_FsHz states] = doppler_spread(dopplerSpreadHz, FsHz, Nsam)
% start with low Fs so we can work with a reasonable filter length
sigma = dopplerSpreadHz/2;
lowFs = ceil(10*dopplerSpreadHz);
Ntaps = 100;
Nsam_low = ceil(Nsam*lowFs/FsHz + Ntaps); % fill filter memory
% generate gaussian freq response and design filter
x = 0:lowFs/100:lowFs/2;
y = (1/(sigma*sqrt(2*pi)))*exp(-(x.^2)/(2*sigma*sigma));
b = fir2(Ntaps-1, x/(lowFs/2), y);
% generate the spreading samples
spread_lowFs = filter(b,1,randn(1,Nsam_low) + j*randn(1,Nsam_low));
% resample to FsHz, scaling for desired spreadFreqHz
spread_FsHz = resample(spread_lowFs(Ntaps+1:Nsam_low), FsHz, lowFs);
assert(length(spread_FsHz) >= Nsam);
% return some states for optional unit testing
states.x = x;
states.y = y;
states.b = b;
endfunction
third_party/codec2/octave/esno_est.m
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% esno_est.m
% David Rowe Mar 2017
%
% Functions for estimating Es/No from QPSK symbols, and supporting tests
1;
#{
----------------------------------------------------------------------------
Estimate the energy and noise of received symbols.
Signal power is distance from axis on complex
plane. Noise power is the distance orthogonal to each symbol, to provide an
estimate that is insensitive to fading that moves symbol towards he origin.
For QAM we need to use pilots as they don't have modulation that affects
estimate, for QPSK Modes we can use all rx symbols.
----------------------------------------------------------------------------
#}
function EsNodB = esno_est_calc(rx_syms)
sig_var = sum(abs(rx_syms) .^ 2)/length(rx_syms);
sig_rms = sqrt(sig_var);
sum_x = 0;
sum_xx = 0;
n = 0;
for i=1:length(rx_syms)
s = rx_syms(i);
% only consider symbols a reasonable distance from the origin, as these are
% more likely to be valid and not errors that will mess up the estimate
if abs(s) > sig_rms
% rough demodulation, determine if symbol is on real or imag axis
if abs(real(s)) > abs(imag(s))
% assume noise is orthogonal to real axis
sum_x += imag(s);
sum_xx += imag(s)*imag(s);
else
% assume noise is orthogonal to imag axis
sum_x += real(s);
sum_xx += real(s)*real(s);
end
n++;
end
end
% trap corner case
if n > 1
noise_var = (n*sum_xx - sum_x*sum_x)/(n*(n-1));
else
noise_var = sig_var;
end
% Total noise power is twice estimate of single-axis noise.
noise_var = 2*noise_var;
EsNodB = 10*log10(sig_var/noise_var);
endfunction
#{
Plot curves of Es/No estimator in action.
Plots indicate it works OK down to Es/No=3dB,
where it is 1dB high. That's acceptable as Es/No=3dB is the lower limit of
our operation (ie Eb/No=0dB, 10% raw BER).
#}
function [EsNo_est rx_symbols] = esno_est_curves(EsNodB=0:20, channel="awgn", plot_en=1)
Nsym=1000; rand('seed',1); randn('seed',1);
tx_symbols = 2*(rand(1,Nsym) > 0.5) -1 + j*(2*(rand(1,Nsym) > 0.5) - 1);
tx_symbols *= exp(-j*pi/4)/sqrt(2);
if strcmp(channel,"mpp")
% for fading we assume perfect phase recovery, so just multiply by mag
spread = doppler_spread(2.0, 50, length(tx_symbols));
tx_symbols = tx_symbols .* abs(spread);
% normalise power over the multipath channel run
S = tx_symbols*tx_symbols';
tx_symbols *= sqrt(Nsym/S);
end
for i = 1:length(EsNodB)
aEsNodB = EsNodB(i);
EsNo = 10 .^ (aEsNodB/10);
N = 1/EsNo;
noise = sqrt(N/2)*randn(1,Nsym) + sqrt(N/2)*j*randn(1,Nsym);
S = tx_symbols*tx_symbols';
N = noise*noise';
EsNo_meas(i) = 10*log10(S/N);
rx_symbols = tx_symbols + noise;
EsNo_est(i) = esno_est_calc(rx_symbols);
printf("EsNo: %5.2f EsNo_meas: %5.2f EsNo_est: %5.2f\n", aEsNodB, EsNo_meas(i), EsNo_est(i));
end
if plot_en
figure(1);
plot(EsNodB, EsNo_meas, '+-;EsNo meas;'); hold on; plot(EsNodB, EsNo_est, 'o-;EsNo est;'); hold off;
axis([0 max(EsNodB) 0 max(EsNodB)]); grid;
figure(2); plot(tx_symbols,'+');
end
endfunction
function esno_est_test(channel="awgn")
test_point_dB = 5;
[EsNo_est_awgn rx_syms] = esno_est_curves(test_point_dB, channel, plot_en=0);
if abs(EsNo_est_awgn - test_point_dB) < 1.0
printf("%s Pass\n",toupper(channel));
else
printf("%s Fail\n",toupper(channel));
end
endfunction
function esno_est_tests_octave
esno_est_test("awgn");
esno_est_test("mpp");
endfunction
function esno_est_test_c(channel="awgn")
test_point_dB = 5;
[EsNo_est rx_syms] = esno_est_curves(test_point_dB, channel, plot_en=0);
rx_syms_float = zeros(1,2*length(rx_syms));
rx_syms_float(1:2:end) = real(rx_syms);
rx_syms_float(2:2:end) = imag(rx_syms);
f = fopen("esno_est.iqfloat","wb"); fwrite(f, rx_syms_float, "float"); fclose(f);
printf("\nRunning C version....\n");
path_to_unittest = "../build_linux/unittest"
if getenv("PATH_TO_UNITEST")
path_to_unittest = getenv("PATH_TO_UNITEST")
printf("setting path from env var to %s\n", path_to_unittest);
end
system(sprintf("%s/tesno_est %s %d > tesno_est_out.txt", path_to_unittest, "esno_est.iqfloat", length(rx_syms)));
load tesno_est_out.txt;
printf("test_point: %5.2f Octave: %5.2f C: %5.2f\n", test_point_dB, EsNo_est, tesno_est_out);
if abs(EsNo_est - tesno_est_out) < 0.5
printf("%s Pass\n",toupper(channel));
else
printf("%s Fail\n",toupper(channel));
end
endfunction
function esno_est_tests_c
esno_est_test_c("awgn");
esno_est_test_c("mpp");
endfunction
third_party/codec2/octave/fdmdv.m
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% fdmdv.m
%
% Functions that implement a Frequency Division Multiplexed Modem for
% Digital Voice (FDMDV) over HF channels.
%
% Copyright David Rowe 2012
% This program is distributed under the terms of the GNU General Public License
% Version 2
%
fdmdv_common;
% reqd to make sure we get same random bits at mod and demod
rand('state',1);
randn('state',1);
% Functions ----------------------------------------------------
function f = fdmdv_init(Nc=14)
Fs = f.Fs = 8000; % sample rate in Hz
T = f.T = 1/Fs; % sample period in seconds
Rs = f.Rs = 50; % symbol rate in Hz
f.Nc = Nc;
Nb = f.Nb = 2; % Bits/symbol for PSK modulation
Rb = f.Rb = Nc*Rs*Nb; % bit rate
M = f.M = Fs/Rs; % oversampling factor
Nsym = f.Nsym = 6; % number of symbols to filter over
Fsep = f.Fsep = 75; % Separation between carriers (Hz)
Fcenter = f.Fcentre = 1500; % Centre frequency, Nc/2 carriers below this,
% Nc/2 carriers above (Hz)
Nt = f.Nt = 5; % number of symbols we estimate timing over
P = f.P = 4; % oversample factor used for rx symbol filtering
Nfilter = f.Nfilter = Nsym*M;
Nfiltertiming = f.Nfiltertiming = M+Nfilter+M;
Nsync_mem = f.Nsync_mem = 6;
f.sync_uw = [1 -1 1 -1 1 -1];
alpha = 0.5;
f.gt_alpha5_root = gen_rn_coeffs(alpha, T, Rs, Nsym, M);
f.pilot_bit = 0; % current value of pilot bit
f.tx_filter_memory = zeros(Nc+1, Nfilter);
f.rx_filter_memory = zeros(Nc+1, Nfilter);
f.Nrx_fdm_mem = Nfilter+M+M/P;
f.rx_fdm_mem = zeros(1,f.Nrx_fdm_mem);
f.snr_coeff = 0.9; % SNR est averaging filter coeff
% phasors used for up and down converters
f.freq = zeros(Nc+1,1);
f.freq_pol = zeros(Nc+1,1);
for c=1:Nc/2
carrier_freq = (-Nc/2 - 1 + c)*Fsep;
f.freq_pol(c) = 2*pi*carrier_freq/Fs;
f.freq(c) = exp(j*f.freq_pol(c));
end
for c=floor(Nc/2)+1:Nc
carrier_freq = (-Nc/2 + c)*Fsep;
f.freq_pol(c) = 2*pi*carrier_freq/Fs;
f.freq(c) = exp(j*f.freq_pol(c));
end
f.freq_pol(Nc+1) = 2*pi*0/Fs;
f.freq(Nc+1) = exp(j*f.freq_pol(Nc+1));
f.fbb_rect = exp(j*2*pi*f.Fcentre/Fs);
f.fbb_phase_tx = 1;
f.fbb_phase_rx = 1;
% Spread initial FDM carrier phase out as far as possible. This
% helped PAPR for a few dB. We don't need to adjust rx phase as DQPSK
% takes care of that.
f.phase_tx = ones(Nc+1,1);
f.phase_tx = exp(j*2*pi*(0:Nc)/(Nc+1));
f.phase_rx = ones(Nc+1,1);
% decimation filter
f.Nrxdec = 31;
% fir1() output appears to have changed from when coeffs used in C port were used
%f.rxdec_coeff = fir1(f.Nrxdec-1, 0.25);
f.rxdec_coeff = [-0.00125472 -0.00204605 -0.0019897 0.000163906 0.00490937 0.00986375 ...
0.0096718 -0.000480351 -0.019311 -0.0361822 -0.0341251 0.000827866 ...
0.0690577 0.152812 0.222115 0.249004 0.222115 0.152812 ...
0.0690577 0.000827866 -0.0341251 -0.0361822 -0.019311 -0.000480351 ...
0.0096718 0.00986375 0.00490937 0.000163906 -0.0019897 -0.00204605 ...
-0.00125472];
% we need room for Nrdec + the max nin, as we may need to filter max_min samples
f.Nrxdecmem = f.Nrxdec+M+M/P;
f.rxdec_lpf_mem = zeros(1,f.Nrxdecmem);
f.Q=M/4;
% freq offset estimation
f.Mpilotfft = 256;
f.Npilotcoeff = 30;
% here's how to make this filter from scratch, however it appeared to change over different
% octave versions so have hard coded to version used for C port
%f.pilot_coeff = fir1(f.Npilotcoeff-1, 200/(Fs/2))'; % 200Hz LPF
f.pilot_coeff = [0.00223001 0.00301037 0.00471258 0.0075934 0.0118145 0.0174153 ...
0.0242969 0.0322204 0.0408199 0.0496286 0.0581172 0.0657392 ...
0.0719806 0.0764066 0.0787022 0.0787022 0.0764066 0.0719806 ...
0.0657392 0.0581172 0.0496286 0.0408199 0.0322204 0.0242969 ...
0.0174153 0.0118145 0.0075934 0.00471258 0.00301037 0.00223001];
f.Npilotbaseband = f.Npilotcoeff + M + M/P; % number of pilot baseband samples
f.Npilotlpf = 4*M; % reqd for pilot LPF
% number of symbols we DFT pilot over
% pilot est window
% pilot LUT, used for copy of pilot at rx
f.pilot_lut = generate_pilot_lut(f);
f.pilot_lut_index = 1;
f.prev_pilot_lut_index = 3*M+1;
% Freq offset estimator states
f.pilot_baseband1 = zeros(1, f.Npilotbaseband); % pilot baseband samples
f.pilot_baseband2 = zeros(1, f.Npilotbaseband); % pilot baseband samples
f.pilot_lpf1 = zeros(1, f.Npilotlpf); % LPF pilot samples
f.pilot_lpf2 = zeros(1, f.Npilotlpf); % LPF pilot samples
% Timing estimator states
f.rx_filter_mem_timing = zeros(Nc+1, Nt*P);
f.rx_baseband_mem_timing = zeros(Nc+1, f.Nfiltertiming);
% Test bit stream state variables
f = init_test_bits(f);
endfunction
% generate Nc+1 PSK symbols from vector of (1,Nc*Nb) input bits. The
% Nc+1 symbol is the +1 -1 +1 .... BPSK sync carrier
function [tx_symbols f] = bits_to_psk(f, prev_tx_symbols, tx_bits)
Nc = f.Nc; Nb = f.Nb;
m4_gray_to_binary = [
bin2dec("00")
bin2dec("01")
bin2dec("11")
bin2dec("10")
];
m8_gray_to_binary = [
bin2dec("000")
bin2dec("001")
bin2dec("011")
bin2dec("010")
bin2dec("111")
bin2dec("110")
bin2dec("100")
bin2dec("101")
];
assert(length(tx_bits) == Nc*Nb, "Incorrect number of bits");
m = 2 .^ Nb;
assert((m == 4) || (m == 8));
for c=1:Nc
% extract bits for this symbol
bits_binary = tx_bits((c-1)*Nb+1:c*Nb);
bits_decimal = sum(bits_binary .* 2.^(Nb-1:-1:0));
% determine phase shift using gray code mapping
if m == 4
phase_shift = (2*pi/m)*m4_gray_to_binary(bits_decimal+1);
else
phase_shift = (2*pi/m)*m8_gray_to_binary(bits_decimal+1);
end
% apply phase shift from previous symbol
tx_symbols(c) = exp(j*phase_shift) * prev_tx_symbols(c);
end
% +1 -1 +1 -1 BPSK sync carrier, once filtered becomes two spectral
% lines at +/- Rs/2
if f.pilot_bit
tx_symbols(Nc+1) = -prev_tx_symbols(Nc+1);
else
tx_symbols(Nc+1) = prev_tx_symbols(Nc+1);
end
if f.pilot_bit
f.pilot_bit = 0;
else
f.pilot_bit = 1;
end
endfunction
% LP filter +/- 1000 Hz, allows us to perform rx filtering at a lower rate saving CPU
function [rx_fdm_filter fdmdv] = rxdec_filter(fdmdv, rx_fdm, nin)
M = fdmdv.M;
Nrxdecmem = fdmdv.Nrxdecmem;
Nrxdec = fdmdv.Nrxdec;
rxdec_coeff = fdmdv.rxdec_coeff;
rxdec_lpf_mem = fdmdv.rxdec_lpf_mem;
% place latest nin samples at end of buffer
rxdec_lpf_mem(1:Nrxdecmem-nin) = rxdec_lpf_mem(nin+1:Nrxdecmem);
rxdec_lpf_mem(Nrxdecmem-nin+1:Nrxdecmem) = rx_fdm(1:nin);
% init room for nin output samples
rx_fdm_filter = zeros(1,nin);
% Move starting point for filter dot product to filter newest samples
% in buffer. This stuff makes my head hurt.
st = Nrxdecmem - nin - Nrxdec + 1;
for i=1:nin
a = st+1; b = st+i+Nrxdec-1;
%printf("nin: %d i: %d a: %d b: %d\n", nin, i, a, b);
rx_fdm_filter(i) = rxdec_lpf_mem(st+i:st+i+Nrxdec-1) * rxdec_coeff';
end
fdmdv.rxdec_lpf_mem = rxdec_lpf_mem;
end
% Combined down convert and rx filter, more memory efficient but less intuitive design
% TODO: Decimate mem update and downconversion, this will save some more CPU and memory
% note phase would have to advance 4 times as fast
function [rx_filt fdmdv] = down_convert_and_rx_filter(fdmdv, rx_fdm, nin, dec_rate)
Nc = fdmdv.Nc;
M = fdmdv.M;
P = fdmdv.P;
rx_fdm_mem = fdmdv.rx_fdm_mem;
Nrx_fdm_mem = fdmdv.Nrx_fdm_mem;
phase_rx = fdmdv.phase_rx;
freq = fdmdv.freq;
freq_pol = fdmdv.freq_pol;
Nfilter = fdmdv.Nfilter;
gt_alpha5_root = fdmdv.gt_alpha5_root;
Q = fdmdv.Q;
% update memory of rx_fdm_mem, newest nin sample ast end of buffer
rx_fdm_mem(1:Nrx_fdm_mem-nin) = rx_fdm_mem(nin+1:Nrx_fdm_mem);
rx_fdm_mem(Nrx_fdm_mem-nin+1:Nrx_fdm_mem) = rx_fdm(1:nin);
for c=1:Nc+1
#{
So we have rx_fdm_mem, a baseband array of samples at
rate Fs Hz, including the last nin samples at the end. To
filter each symbol we require the baseband samples for all Nsym
symbols that we filter over. So we need to downconvert the
entire rx_fdm_mem array. To downconvert these we need the LO
phase referenced to the start of the rx_fdm_mem array.
<--------------- Nrx_filt_mem ------->
nin
|--------------------------|---------|
1 |
phase_rx(c)
This means winding phase(c) back from this point
to ensure phase continuity.
#}
wind_back_phase = -freq_pol(c)*(Nfilter);
phase_rx(c) = phase_rx(c)*exp(j*wind_back_phase);
% down convert all samples in buffer
rx_baseband = zeros(1,Nrx_fdm_mem);
st = Nrx_fdm_mem; % end of buffer
st -= nin-1; % first new sample
st -= Nfilter; % first sample used in filtering
%printf("Nfilter: %d Nrx_fdm_mem: %d dec_rate: %d nin: %d st: %d\n",
% Nfilter, Nrx_fdm_mem, dec_rate, nin, st);
f_rect = freq(c) .^ dec_rate;
for i=st:dec_rate:Nrx_fdm_mem
phase_rx(c) = phase_rx(c) * f_rect;
rx_baseband(i) = rx_fdm_mem(i)*phase_rx(c)';
end
% now we can filter this carrier's P (+/-1) symbols. Due to
% filtering of rx_fdm we can filter at rate at rate M/Q
N=M/P; k = 1;
for i=1:N:nin
rx_filt(c,k) = (M/Q)*rx_baseband(st+i-1:dec_rate:st+i-1+Nfilter-1) * gt_alpha5_root(1:dec_rate:length(gt_alpha5_root))';
k+=1;
end
end
fdmdv.phase_rx = phase_rx;
fdmdv.rx_fdm_mem = rx_fdm_mem;
endfunction
% LPF and peak pick part of freq est, put in a function as we call it twice
function [foff imax pilot_lpf_out S] = lpf_peak_pick(f, pilot_baseband, pilot_lpf, nin, do_fft)
M = f.M;
Npilotlpf = f.Npilotlpf;
Npilotbaseband = f.Npilotbaseband;
Npilotcoeff = f.Npilotcoeff;
Fs = f.Fs;
Mpilotfft = f.Mpilotfft;
pilot_coeff = f.pilot_coeff;
% LPF cutoff 200Hz, so we can handle max +/- 200 Hz freq offset
pilot_lpf(1:Npilotlpf-nin) = pilot_lpf(nin+1:Npilotlpf);
k = Npilotbaseband-nin+1;;
for i = Npilotlpf-nin+1:Npilotlpf
pilot_lpf(i) = pilot_baseband(k-Npilotcoeff+1:k) * pilot_coeff';
k++;
end
imax = 0;
foff = 0;
S = zeros(1, Mpilotfft);
if do_fft
% decimate to improve DFT resolution, window and DFT
Mpilot = Fs/(2*200); % calc decimation rate given new sample rate is twice LPF freq
h = hanning(Npilotlpf);
s = pilot_lpf(1:Mpilot:Npilotlpf) .* h(1:Mpilot:Npilotlpf)';
s = [s zeros(1,Mpilotfft-Npilotlpf/Mpilot)];
S = fft(s, Mpilotfft);
% peak pick and convert to Hz
[imax ix] = max(abs(S));
r = 2*200/Mpilotfft; % maps FFT bin to frequency in Hz
if ix > Mpilotfft/2
foff = (ix - Mpilotfft - 1)*r;
else
foff = (ix - 1)*r;
endif
end
pilot_lpf_out = pilot_lpf;
endfunction
% Estimate frequency offset of FDM signal using BPSK pilot. This is quite
% sensitive to pilot tone level wrt other carriers
function [foff S1 S2 f] = rx_est_freq_offset(f, rx_fdm, pilot, pilot_prev, nin, do_fft)
M = f.M;
Npilotbaseband = f.Npilotbaseband;
pilot_baseband1 = f.pilot_baseband1;
pilot_baseband2 = f.pilot_baseband2;
pilot_lpf1 = f.pilot_lpf1;
pilot_lpf2 = f.pilot_lpf2;
% down convert latest nin samples of pilot by multiplying by ideal
% BPSK pilot signal we have generated locally. The peak of the DFT
% of the resulting signal is sensitive to the time shift between the
% received and local version of the pilot, so we do it twice at
% different time shifts and choose the maximum.
pilot_baseband1(1:Npilotbaseband-nin) = pilot_baseband1(nin+1:Npilotbaseband);
pilot_baseband2(1:Npilotbaseband-nin) = pilot_baseband2(nin+1:Npilotbaseband);
for i=1:nin
pilot_baseband1(Npilotbaseband-nin+i) = rx_fdm(i) * conj(pilot(i));
pilot_baseband2(Npilotbaseband-nin+i) = rx_fdm(i) * conj(pilot_prev(i));
end
[foff1 max1 pilot_lpf1 S1] = lpf_peak_pick(f, pilot_baseband1, pilot_lpf1, nin, do_fft);
[foff2 max2 pilot_lpf2 S2] = lpf_peak_pick(f, pilot_baseband2, pilot_lpf2, nin, do_fft);
if max1 > max2
foff = foff1;
else
foff = foff2;
end
f.pilot_baseband1 = pilot_baseband1;
f.pilot_baseband2 = pilot_baseband2;
f.pilot_lpf1 = pilot_lpf1;
f.pilot_lpf2 = pilot_lpf2;
endfunction
% Experimental "feed forward" phase estimation function - estimates
% phase over a windows of Nph (e.g. Nph = 9) symbols. May not work
% well on HF channels but lets see. Has a phase ambiguity of m(pi/4)
% where m=0,1,2 which needs to be corrected outside of this function
function [phase_offsets ferr f] = rx_est_phase(f, rx_symbols)
global rx_symbols_mem;
global prev_phase_offsets;
global phase_amb;
Nph = f.Nph;
Nc = f.Nc;
% keep record of Nph symbols
rx_symbols_mem(:,1:Nph-1) = rx_symbols_mem(:,2:Nph);
rx_symbols_mem(:,Nph) = rx_symbols;
% estimate and correct phase offset based of modulation stripped samples
phase_offsets = zeros(Nc+1,1);
for c=1:Nc+1
% rotate QPSK constellation to a single point
mod_stripped = abs(rx_symbols_mem(c,:)) .* exp(j*4*angle(rx_symbols_mem(c,:)));
% find average phase offset, which will be on -pi/4 .. pi/4
sum_real = sum(real(mod_stripped));
sum_imag = sum(imag(mod_stripped));
phase_offsets(c) = atan2(sum_imag, sum_real)/4;
% determine if phase has jumped from - -> +
if (prev_phase_offsets(c) < -pi/8) && (phase_offsets(c) > pi/8)
phase_amb(c) -= pi/2;
if (phase_amb(c) < -pi)
phase_amb(c) += 2*pi;
end
end
% determine if phase has jumped from + -> -
if (prev_phase_offsets(c) > pi/8) && (phase_offsets(c) < -pi/8)
phase_amb(c) += pi/2;
if (phase_amb(c) > pi)
phase_amb(c) -= 2*pi;
end
end
end
ferr = mean(phase_offsets - prev_phase_offsets);
prev_phase_offsets = phase_offsets;
endfunction
% convert symbols back to an array of bits
function [rx_bits sync_bit f_err phase_difference] = psk_to_bits(f, prev_rx_symbols, rx_symbols, modulation)
Nc = f.Nc;
Nb = f.Nb;
m4_binary_to_gray = [
bin2dec("00")
bin2dec("01")
bin2dec("11")
bin2dec("10")
];
m8_binary_to_gray = [
bin2dec("000")
bin2dec("001")
bin2dec("011")
bin2dec("010")
bin2dec("110")
bin2dec("111")
bin2dec("101")
bin2dec("100")
];
m = 2 .^ Nb;
assert((m == 4) || (m == 8));
phase_difference = zeros(Nc+1,1);
for c=1:Nc
norm = 1/(1E-6+abs(prev_rx_symbols(c)));
phase_difference(c) = rx_symbols(c) .* conj(prev_rx_symbols(c)) * norm;
end
for c=1:Nc
phase_difference(c) *= exp(j*pi/4);
if m == 4
% to get a good match between C and Octave during start up use same as C code
d = phase_difference(c);
if (real(d) >= 0) && (imag(d) >= 0)
msb = 0; lsb = 0;
end
if (real(d) < 0) && (imag(d) >= 0)
msb = 0; lsb = 1;
end
if (real(d) < 0) && (imag(d) < 0)
msb = 1; lsb = 1;
end
if (real(d) >= 0) && (imag(d) < 0)
msb = 1; lsb = 0;
end
rx_bits(2*(c-1)+1) = msb;
rx_bits(2*c) = lsb;
else
% determine index of constellation point received 0,1,...,m-1
index = floor(angle(phase_difference(c))*m/(2*pi) + 0.5);
if index < 0
index += m;
end
% map to decimal version of bits encoded in symbol
if m == 4
bits_decimal = m4_binary_to_gray(index+1);
else
bits_decimal = m8_binary_to_gray(index+1);
end
% convert back to an array of received bits
for i=1:Nb
if bitand(bits_decimal, 2.^(Nb-i))
rx_bits((c-1)*Nb+i) = 1;
else
rx_bits((c-1)*Nb+i) = 0;
end
end
end
end
assert(length(rx_bits) == Nc*Nb);
% Extract DBPSK encoded Sync bit
norm = 1/(1E-6+abs(prev_rx_symbols(Nc+1)));
phase_difference(Nc+1) = rx_symbols(Nc+1) * conj(prev_rx_symbols(Nc+1)) * norm;
if (real(phase_difference(Nc+1)) < 0)
sync_bit = 1;
f_err = imag(phase_difference(Nc+1))*norm; % make f_err magnitude insensitive
else
sync_bit = 0;
f_err = -imag(phase_difference(Nc+1))*norm;
end
% extra pi/4 rotation as we need for snr_update and scatter diagram
phase_difference(Nc+1) *= exp(j*pi/4);
endfunction
% given phase differences update estimates of signal and noise levels
function [sig_est noise_est] = snr_update(f, sig_est, noise_est, phase_difference)
snr_coeff = f.snr_coeff;
Nc = f.Nc;
% mag of each symbol is distance from origin, this gives us a
% vector of mags, one for each carrier.
s = abs(phase_difference);
% signal mag estimate for each carrier is a smoothed version
% of instantaneous magntitude, this gives us a vector of smoothed
% mag estimates, one for each carrier.
sig_est = snr_coeff*sig_est + (1 - snr_coeff)*s;
%printf("s: %f sig_est: %f snr_coeff: %f\n", s(1), sig_est(1), snr_coeff);
% noise mag estimate is distance of current symbol from average
% location of that symbol. We reflect all symbols into the first
% quadrant for convenience.
refl_symbols = abs(real(phase_difference)) + j*abs(imag(phase_difference));
n = abs(exp(j*pi/4)*sig_est - refl_symbols);
% noise mag estimate for each carrier is a smoothed version of
% instantaneous noise mag, this gives us a vector of smoothed
% noise power estimates, one for each carrier.
noise_est = snr_coeff*noise_est + (1 - snr_coeff)*n;
endfunction
% calculate current sig estimate for eeach carrier
function snr_dB = calc_snr(f, sig_est, noise_est)
Rs = f.Rs;
% find total signal power by summing power in all carriers
S = sum(sig_est .^2);
SdB = 10*log10(S);
% Average noise mag across all carriers and square to get an average
% noise power. This is an estimate of the noise power in Rs = 50Hz of
% BW (note for raised root cosine filters Rs is the noise BW of the
% filter)
N50 = mean(noise_est).^2;
N50dB = 10*log10(N50);
% Now multiply by (3000 Hz)/(50 Hz) to find the total noise power in
% 3000 Hz
N3000dB = N50dB + 10*log10(3000/Rs);
snr_dB = SdB - N3000dB;
endfunction
% sets up test bits system. make sure rand('state', 1) has just been called
% so we generate the right test_bits pattern!
function f = init_test_bits(f)
f.Ntest_bits = f.Nc*f.Nb*4; % length of test sequence
f.test_bits = rand(1,f.Ntest_bits) > 0.5; % test pattern of bits
f.current_test_bit = 1;
f.rx_test_bits_mem = zeros(1,f.Ntest_bits);
endfunction
% returns nbits from a repeating sequence of random data
function [bits f] = get_test_bits(f, nbits)
for i=1:nbits
bits(i) = f.test_bits(f.current_test_bit++);
if (f.current_test_bit > f.Ntest_bits)
f.current_test_bit = 1;
endif
end
endfunction
% Accepts nbits from rx and attempts to sync with test_bits sequence.
% if sync OK measures bit errors
function [sync bit_errors error_pattern f] = put_test_bits(f, rx_bits)
Ntest_bits = f.Ntest_bits;
% Append to our memory
[m n] = size(rx_bits);
f.rx_test_bits_mem(1:f.Ntest_bits-n) = f.rx_test_bits_mem(n+1:f.Ntest_bits);
f.rx_test_bits_mem(f.Ntest_bits-n+1:f.Ntest_bits) = rx_bits;
% see how many bit errors we get when checked against test sequence
error_pattern = xor(f.test_bits, f.rx_test_bits_mem);
bit_errors = sum(error_pattern);
% if less than a thresh we are aligned and in sync with test sequence
ber = bit_errors/f.Ntest_bits;
sync = 0;
if (ber < 0.2)
sync = 1;
endif
endfunction
% Generate M samples of DBPSK pilot signal for Freq offset estimation
function [pilot_fdm bit symbol filter_mem phase] = generate_pilot_fdm(f, bit, symbol, filter_mem, phase, freq)
M = f.M;
Nfilter = f.Nfilter;
gt_alpha5_root = f.gt_alpha5_root;
% +1 -1 +1 -1 DBPSK sync carrier, once filtered becomes two spectral
% lines at +/- Rs/2
if bit
symbol = -symbol;
else
symbol = symbol;
end
if bit
bit = 0;
else
bit = 1;
end
% filter DPSK symbol to create M baseband samples
filter_mem(Nfilter) = (sqrt(2)/2)*symbol;
for i=1:M
tx_baseband(i) = M*filter_mem(M:M:Nfilter) * gt_alpha5_root(M-i+1:M:Nfilter)';
end
filter_mem(1:Nfilter-M) = filter_mem(M+1:Nfilter);
filter_mem(Nfilter-M+1:Nfilter) = zeros(1,M);
% upconvert
for i=1:M
phase = phase * freq;
pilot_fdm(i) = sqrt(2)*2*tx_baseband(i)*phase;
end
endfunction
% Generate a 4M sample vector of DBPSK pilot signal. As the pilot signal
% is periodic in 4M samples we can then use this vector as a look up table
% for pilot signal generation in the demod.
function pilot_lut = generate_pilot_lut(f)
Nc = f.Nc;
Nfilter = f.Nfilter;
M = f.M;
freq = f.freq;
% pilot states
pilot_rx_bit = 0;
pilot_symbol = sqrt(2);
pilot_freq = freq(Nc+1);
pilot_phase = 1;
pilot_filter_mem = zeros(1, Nfilter);
%prev_pilot = zeros(M,1);
pilot_lut = [];
F=8;
for fr=1:F
[pilot pilot_rx_bit pilot_symbol pilot_filter_mem pilot_phase] = generate_pilot_fdm(f, pilot_rx_bit, pilot_symbol, pilot_filter_mem, pilot_phase, pilot_freq);
%prev_pilot = pilot;
pilot_lut = [pilot_lut pilot];
end
% discard first 4 symbols as filter memory is filling, just keep last
% four symbols
pilot_lut = pilot_lut(4*M+1:M*F);
endfunction
% grab next pilot samples for freq offset estimation at demod
function [pilot prev_pilot pilot_lut_index prev_pilot_lut_index] = get_pilot(f, pilot_lut_index, prev_pilot_lut_index, nin)
M = f.M;
pilot_lut = f.pilot_lut;
for i=1:nin
pilot(i) = pilot_lut(pilot_lut_index);
pilot_lut_index++;
if pilot_lut_index > 4*M
pilot_lut_index = 1;
end
prev_pilot(i) = pilot_lut(prev_pilot_lut_index);
prev_pilot_lut_index++;
if prev_pilot_lut_index > 4*M
prev_pilot_lut_index = 1;
end
end
endfunction
% freq offset state machine. Moves between acquire and track states based
% on BPSK pilot sequence. Freq offset estimator occasionally makes mistakes
% when used continuously. So we use it until we have acquired the BPSK pilot,
% then switch to a more robust tracking algorithm. If we lose sync we switch
% back to acquire mode for fast-requisition.
function [sync reliable_sync_bit state timer sync_mem] = freq_state(f, sync_bit, state, timer, sync_mem)
Nsync_mem = f.Nsync_mem;
sync_uw = f.sync_uw;
% look for 6 symbol (120ms) 010101 of sync sequence
unique_word = 0;
for i=1:Nsync_mem-1
sync_mem(i) = sync_mem(i+1);
end
sync_mem(Nsync_mem) = 1 - 2*sync_bit;
corr = 0;
for i=1:Nsync_mem
corr += sync_mem(i)*sync_uw(i);
end
if abs(corr) == Nsync_mem
unique_word = 1;
end
reliable_sync_bit = (corr == Nsync_mem);
% iterate state machine
next_state = state;
if state == 0
if unique_word
next_state = 1;
timer = 0;
end
end
if state == 1
if unique_word
timer++;
if timer == 25 % sync has been good for 500ms
next_state = 2;
end
else
next_state = 0;
end
end
if state == 2 % good sync state
if unique_word == 0
timer = 0;
next_state = 3;
end
end
if state == 3 % tentative bad state, but could be a fade
if unique_word
next_state = 2;
else
timer++;
if timer == 50 % wait for 1000ms in case sync comes back
next_state = 0;
end
end
end
%printf("corr: % -d state: %d next_state: %d uw: %d timer: %d\n", corr, state, next_state, unique_word, timer);
state = next_state;
if state
sync = 1;
else
sync = 0;
end
endfunction
% Save test bits to a text file in the form of a C array
function test_bits_file(filename)
global test_bits;
global Ntest_bits;
f=fopen(filename,"wt");
fprintf(f,"/* Generated by test_bits_file() Octave function */\n\n");
fprintf(f,"const int test_bits[]={\n");
for m=1:Ntest_bits-1
fprintf(f," %d,\n",test_bits(m));
endfor
fprintf(f," %d\n};\n",test_bits(Ntest_bits));
fclose(f);
endfunction
% Saves RN filter coeffs to a text file in the form of a C array
function rn_file(gt_alpha5_root, filename)
Nfilter = length(gt_alpha5_root);
f=fopen(filename,"wt");
fprintf(f,"/* Generated by rn_file() Octave function */\n\n");
fprintf(f,"const float gt_alpha5_root[]={\n");
for m=1:Nfilter-1
fprintf(f," %g,\n",gt_alpha5_root(m));
endfor
fprintf(f," %g\n};\n",gt_alpha5_root(Nfilter));
fclose(f);
endfunction
% Saves rx decimation filter coeffs to a text file in the form of a C array
function rxdec_file(fdmdv, filename)
rxdec_coeff = fdmdv.rxdec_coeff;
Nrxdec = fdmdv.Nrxdec;
f=fopen(filename,"wt");
fprintf(f,"/* Generated by rxdec_file() Octave function */\n\n");
fprintf(f,"const float rxdec_coeff[]={\n");
for m=1:Nrxdec-1
fprintf(f," %g,\n",rxdec_coeff(m));
endfor
fprintf(f," %g\n};\n",rxdec_coeff(Nrxdec));
fclose(f);
endfunction
function pilot_coeff_file(fdmdv, filename)
pilot_coeff = fdmdv.pilot_coeff;
Npilotcoeff = fdmdv.Npilotcoeff;
f=fopen(filename,"wt");
fprintf(f,"/* Generated by pilot_coeff_file() Octave function */\n\n");
fprintf(f,"const float pilot_coeff[]={\n");
for m=1:Npilotcoeff-1
fprintf(f," %g,\n",pilot_coeff(m));
endfor
fprintf(f," %g\n};\n",pilot_coeff(Npilotcoeff));
fclose(f);
endfunction
% Saves hanning window coeffs to a text file in the form of a C array
function hanning_file(fdmdv, filename)
Npilotlpf = fdmdv.Npilotlpf;
h = hanning(Npilotlpf);
f=fopen(filename,"wt");
fprintf(f,"/* Generated by hanning_file() Octave function */\n\n");
fprintf(f,"const float hanning[]={\n");
for m=1:Npilotlpf-1
fprintf(f," %g,\n", h(m));
endfor
fprintf(f," %g\n};\n", h(Npilotlpf));
fclose(f);
endfunction
function png_file(fig, pngfilename)
figure(fig);
pngname = sprintf("%s.png",pngfilename);
print(pngname, '-dpng', "-S500,500")
pngname = sprintf("%s_large.png",pngfilename);
print(pngname, '-dpng', "-S800,600")
endfunction
% dump rx_bits in hex
function dump_bits(rx_bits)
% pack into bytes, MSB first
packed = zeros(1,floor(length(rx_bits)+7)/8);
bit = 7; byte = 1;
for i=1:length(rx_bits)
packed(byte) = bitor(packed(byte), bitshift(rx_bits(i),bit));
bit--;
if (bit < 0)
bit = 7;
byte++;
end
end
for i=1:length(packed)
printf("0x%02x ", packed(i));
end
printf("\n");
endfunction
third_party/codec2/octave/fdmdv_common.m
Vendored
+221
View File
@@ -0,0 +1,221 @@
% fdmdv_common.m
%
% Functions that implement a Frequency Division Multiplexed Modem functions
%
1;
% Given Nc symbols construct M samples (1 symbol) of Nc filtered
% symbols streams
function [tx_baseband fdmdv] = tx_filter(fdmdv, tx_symbols)
Nc = fdmdv.Nc;
M = fdmdv.M;
tx_filter_memory = fdmdv.tx_filter_memory;
Nfilter = fdmdv.Nfilter;
gt_alpha5_root = fdmdv.gt_alpha5_root;
tx_baseband = zeros(Nc+1,M);
% tx filter each symbol, generate M filtered output samples for each symbol.
% Efficient polyphase filter techniques used as tx_filter_memory is sparse
tx_filter_memory(:,Nfilter) = sqrt(2)/2*tx_symbols;
for i=1:M
tx_baseband(:,i) = M*tx_filter_memory(:,M:M:Nfilter) * gt_alpha5_root(M-i+1:M:Nfilter)';
end
tx_filter_memory(:,1:Nfilter-M) = tx_filter_memory(:,M+1:Nfilter);
tx_filter_memory(:,Nfilter-M+1:Nfilter) = zeros(Nc+1,M);
fdmdv.tx_filter_memory = tx_filter_memory;
endfunction
% Construct FDM signal by frequency shifting each filtered symbol
% stream. Returns complex signal so we can apply frequency offsets
% easily.
function [tx_fdm fdmdv] = fdm_upconvert(fdmdv, tx_filt)
Fs = fdmdv.Fs;
M = fdmdv.M;
Nc = fdmdv.Nc;
Fsep = fdmdv.Fsep;
phase_tx = fdmdv.phase_tx;
freq = fdmdv.freq;
fbb_rect = fdmdv.fbb_rect;
fbb_phase_tx = fdmdv.fbb_phase_tx;
tx_fdm = zeros(1,M);
% Nc+1 tones
for c=1:Nc+1
for i=1:M
phase_tx(c) = phase_tx(c) * freq(c);
tx_fdm(i) = tx_fdm(i) + tx_filt(c,i)*phase_tx(c);
end
end
% shift up to carrier freq
for i=1:M
fbb_phase_tx *= fbb_rect;
tx_fdm(i) = tx_fdm(i) * fbb_phase_tx;
end
% Scale such that total Carrier power C of real(tx_fdm) = Nc. This
% excludes the power of the pilot tone.
% We return the complex (single sided) signal to make frequency
% shifting for the purpose of testing easier
tx_fdm = 2*tx_fdm;
% normalise digital oscillators as the magnitude can drift over time
for c=1:Nc+1
mag = abs(phase_tx(c));
phase_tx(c) /= mag;
end
mag = abs(fbb_phase_tx);
fbb_phase_tx /= mag;
fdmdv.fbb_phase_tx = fbb_phase_tx;
fdmdv.phase_tx = phase_tx;
endfunction
% complex freq shifting helper function
function [out phase] = freq_shift(in, freqHz, Fs, phase)
freq_rect = exp(j*2*pi*freqHz/Fs);
out = zeros(1, length(in));
for r=1:length(in)
phase *= freq_rect;
out(r) = in(r)*phase;
end
mag = abs(phase);
phase /= mag;
endfunction
% Frequency shift each modem carrier down to Nc+1 baseband signals
function [rx_baseband fdmdv] = fdm_downconvert(fdmdv, rx_fdm, nin)
Fs = fdmdv.Fs;
M = fdmdv.M;
Nc = fdmdv.Nc;
phase_rx = fdmdv.phase_rx;
freq = fdmdv.freq;
rx_baseband = zeros(Nc+1,nin);
for c=1:Nc+1
for i=1:nin
phase_rx(c) = phase_rx(c) * freq(c);
rx_baseband(c,i) = rx_fdm(i)*phase_rx(c)';
end
end
for c=1:Nc+1
mag = abs(phase_rx(c));
phase_rx(c) /= mag;
end
fdmdv.phase_rx = phase_rx;
endfunction
% Receive filter each baseband signal at oversample rate P
function [rx_filt fdmdv] = rx_filter(fdmdv, rx_baseband, nin)
Nc = fdmdv.Nc;
M = fdmdv.M;
P = fdmdv.P;
rx_filter_memory = fdmdv.rx_filter_memory;
Nfilter = fdmdv.Nfilter;
gt_alpha5_root = fdmdv.gt_alpha5_root;
rx_filt = zeros(Nc+1,nin*P/M);
% rx filter each symbol, generate P filtered output samples for each symbol.
% Note we keep memory at rate M, it's just the filter output at rate P
assert(mod(M,P)==0);
N=M/P;
j=1;
for i=1:N:nin
rx_filter_memory(:,Nfilter-N+1:Nfilter) = rx_baseband(:,i:i-1+N);
rx_filt(:,j) = rx_filter_memory * gt_alpha5_root';
rx_filter_memory(:,1:Nfilter-N) = rx_filter_memory(:,1+N:Nfilter);
j+=1;
end
fdmdv.rx_filter_memory = rx_filter_memory;
endfunction
% Estimate optimum timing offset, re-filter receive symbols
function [rx_symbols rx_timing_M env fdmdv] = rx_est_timing(fdmdv, rx_filt, nin)
M = fdmdv.M;
Nt = fdmdv.Nt;
Nc = fdmdv.Nc;
rx_filter_mem_timing = fdmdv.rx_filter_mem_timing;
P = fdmdv.P;
Nfilter = fdmdv.Nfilter;
Nfiltertiming = fdmdv.Nfiltertiming;
% nin adjust
% --------------------------------
% 120 -1 (one less rate P sample)
% 160 0 (nominal)
% 200 1 (one more rate P sample)
adjust = P - nin*P/M;
% update buffer of Nt rate P filtered symbols
rx_filter_mem_timing(:,1:(Nt-1)*P+adjust) = rx_filter_mem_timing(:,P+1-adjust:Nt*P);
rx_filter_mem_timing(:,(Nt-1)*P+1+adjust:Nt*P) = rx_filt(:,:);
% sum envelopes of all carriers
env = sum(abs(rx_filter_mem_timing(:,:))); % use all Nc+1 carriers for timing
%env = abs(rx_filter_mem_timing(Nc+1,:)); % just use BPSK pilot
[n m] = size(env);
% The envelope has a frequency component at the symbol rate. The
% phase of this frequency component indicates the timing. So work out
% single DFT at frequency 2*pi/P
x = env * exp(-j*2*pi*(0:m-1)/P)';
norm_rx_timing = angle(x)/(2*pi);
rx_timing = norm_rx_timing*P + P/4;
if (rx_timing > P)
rx_timing -= P;
end
if (rx_timing < -P)
rx_timing += P;
end
% rx_filter_mem_timing contains Nt*P samples (Nt symbols at rate P),
% where Nt is odd. Lets use linear interpolation to resample in the
% centre of the timing estimation window
rx_timing += floor(Nt/2)*P;
low_sample = floor(rx_timing);
fract = rx_timing - low_sample;
high_sample = ceil(rx_timing);
%printf("rx_timing: %f low_sample: %f high_sample: %f fract: %f\n", rx_timing, low_sample, high_sample, fract);
rx_symbols = rx_filter_mem_timing(:,low_sample)*(1-fract) + rx_filter_mem_timing(:,high_sample)*fract;
% rx_symbols = rx_filter_mem_timing(:,high_sample+1);
% This value will be +/- half a symbol so will wrap around at +/-
% M/2 or +/- 80 samples with M=160
rx_timing_M = norm_rx_timing*M;
fdmdv.rx_filter_mem_timing = rx_filter_mem_timing;
endfunction
third_party/codec2/octave/fdmdv_demod.m
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% fdmdv_demod.m
%
% Demodulator function for FDMDV modem (Octave version). Requires
% 8kHz sample rate raw files as input
%
% Copyright David Rowe 2012
% This program is distributed under the terms of the GNU General Public License
% Version 2
%
function fdmdv_demod(rawfilename, nbits, NumCarriers=14, errorpatternfilename, symbolfilename)
pkg load signal;
fdmdv; % include modem code
f = fdmdv_init(NumCarriers);
Nc = f.Nc; Nb = f.Nb; Rs = f.Rs; M = f.M; Fs = f.Fs; Nsync_mem = f.Nsync_mem;
test_bits = f.test_bits; Q = f.Q; P = f.P;
modulation = 'dqpsk';
fin = fopen(rawfilename, "rb");
gain = 1000;
frames = nbits/(Nc*Nb);
prev_rx_symbols = ones(Nc+1,1);
foff_phase_rect = 1;
% BER stats
total_bit_errors = 0;
total_bits = 0;
bit_errors_log = [];
sync_log = [];
test_frame_sync_log = [];
test_frame_sync_state = 0;
error_pattern_log = [];
% SNR states
sig_est = zeros(Nc+1,1);
noise_est = zeros(Nc+1,1);
% logs of various states for plotting
rx_symbols_log = [];
rx_timing_log = [];
foff_coarse_log = [];
foff_log = [];
rx_fdm_log = [];
snr_est_log = [];
% misc states
nin = M; % timing correction for sample rate differences
foff = 0;
fest_state = 0;
fest_timer = 0;
sync_mem = zeros(1,Nsync_mem);
sync = 0;
sync_log = [];
% spectrum states
Nspec=1024;
spec_mem=zeros(1,Nspec);
SdB = zeros(1,Nspec);
% optionally save output symbols
if nargin == 5
fm = fopen(symbolfilename,"wb");
dual_rx_symbols = zeros(1, 2*Nc);
dual_rx_bits = zeros(1,2*Nc*Nb);
end
atimer = 0;
% Main loop ----------------------------------------------------
for fr=1:frames
% obtain nin samples of the test input signal
for i=1:nin
rx_fdm(i) = fread(fin, 1, "short")/gain;
end
rx_fdm_log = [rx_fdm_log rx_fdm(1:nin)];
% update spectrum
l=length(rx_fdm);
spec_mem(1:Nspec-l) = spec_mem(l+1:Nspec);
spec_mem(Nspec-l+1:Nspec) = rx_fdm;
S=fft(spec_mem.*hanning(Nspec)',Nspec);
SdB = 0.9*SdB + 0.1*20*log10(abs(S));
% shift down to complex baseband
for i=1:nin
f.fbb_phase_rx = f.fbb_phase_rx*f.fbb_rect';
rx_fdm(i) = rx_fdm(i)*f.fbb_phase_rx;
end
mag = abs(f.fbb_phase_rx);
f.fbb_phase_rx /= mag;
% frequency offset estimation and correction
[pilot prev_pilot f.pilot_lut_index f.prev_pilot_lut_index] = get_pilot(f, f.pilot_lut_index, f.prev_pilot_lut_index, nin);
[foff_coarse S1 S2 f] = rx_est_freq_offset(f, rx_fdm, pilot, prev_pilot, nin, !sync );
if sync == 0
foff = foff_coarse;
end
foff_coarse_log = [foff_coarse_log foff_coarse];
foff_rect = exp(j*2*pi*foff/Fs);
for i=1:nin
foff_phase_rect *= foff_rect';
rx_fdm_fcorr(i) = rx_fdm(i)*foff_phase_rect;
end
% baseband processing
if 0
% easier to understand, but more memory and CPU hungry filtering and down conversion
[rx_baseband f] = fdm_downconvert(f, rx_fdm_fcorr, nin);
[rx_filt f] = rx_filter(f, rx_baseband, nin);
else
% more efficient filtering and down conversion
[rx_fdm_filter f] = rxdec_filter(f, rx_fdm_fcorr, nin);
[rx_filt f] = down_convert_and_rx_filter(f, rx_fdm_filter, nin, M/Q);
end
[rx_symbols rx_timing env f] = rx_est_timing(f, rx_filt, nin);
rx_timing_log = [rx_timing_log rx_timing];
nin = M;
if rx_timing > M/P
nin += M/P;
end
if rx_timing < -M/P;
nin -= M/P;
end
%printf("fr: %d rx_timing: %d nin = %d\n", fr, rx_timing, nin);
rx_symbols_log = [rx_symbols_log rx_symbols.*conj(prev_rx_symbols./abs(prev_rx_symbols))*exp(j*pi/4)];
[rx_bits sync_bit f_err pd] = psk_to_bits(f, prev_rx_symbols, rx_symbols, modulation);
% optionally save output symbols
if (nargin == 5)
% this free runs, and is reset by an "entered sync" state
if (sync_track == 0)
sync_track = 1;
else
sync_track = 0;
end
if (track == 1) && (sync_track == 1)
dual_rx_symbols(Nc+1:2*Nc) = rx_symbols(1:Nc).*conj(prev_rx_symbols(1:Nc)./abs(prev_rx_symbols(1:Nc)));
dual_rx_symbols_float32 = []; k = 1;
for i=1:2*Nc
dual_rx_symbols_float32(k++) = real(dual_rx_symbols(i));
dual_rx_symbols_float32(k++) = imag(dual_rx_symbols(i));
end
fwrite(fm, dual_rx_symbols_float32, "float32");
dual_rx_bits(Nc*Nb+1:2*Nc*Nb) = rx_bits;
%dump_bits(dual_rx_bits);
else
dual_rx_symbols(1:Nc) = rx_symbols(1:Nc).*conj(prev_rx_symbols(1:Nc)./abs(prev_rx_symbols(1:Nc)));
dual_rx_bits(1:Nc*Nb) = rx_bits;
end
end
% update some states
prev_rx_symbols = rx_symbols;
[sig_est noise_est] = snr_update(f, sig_est, noise_est, pd);
snr_est = calc_snr(f, sig_est, noise_est);
snr_est_log = [snr_est_log snr_est];
foff -= 0.5*f_err;
foff_log = [foff_log foff];
% freq est state machine
[sync reliable_sync_bit fest_state fest_timer sync_mem] = freq_state(f, sync_bit, fest_state, fest_timer, sync_mem);
sync_log = [sync_log sync];
% count bit errors if we find a test frame
[test_frame_sync bit_errors error_pattern f] = put_test_bits(f, rx_bits);
if (test_frame_sync == 1)
if (bit_errors)
printf("fr: %d bit_errors: %d\n", fr, bit_errors);
end
total_bit_errors = total_bit_errors + bit_errors;
total_bits = total_bits + f.Ntest_bits;
bit_errors_log = [bit_errors_log bit_errors/f.Ntest_bits];
else
bit_errors_log = [bit_errors_log 0];
end
% test frame sync state machine, just for more informative plots
next_test_frame_sync_state = test_frame_sync_state;
if (test_frame_sync_state == 0)
if (test_frame_sync == 1)
next_test_frame_sync_state = 1;
test_frame_count = 0;
end
end
if (test_frame_sync_state == 1)
% we only expect another test_frame_sync pulse every 4 symbols
test_frame_count++;
if (test_frame_count == 4)
test_frame_count = 0;
if ((test_frame_sync == 0))
next_test_frame_sync_state = 0;
else
error_pattern_log = [error_pattern_log error_pattern];
end
end
end
test_frame_sync_state = next_test_frame_sync_state;
test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
end
if nargin == 5
fclose(fm);
etfilename = strcat(strtok(symbolfilename,"."),"_et.bin");
fet = fopen(etfilename, "wb");
fwrite(fet, entered_track_log, "short");
fclose(fet);
end
% ---------------------------------------------------------------------
% Print Stats
% ---------------------------------------------------------------------
% Peak to Average Power Ratio calcs from http://www.dsplog.com
papr = max(rx_fdm_log.*conj(rx_fdm_log)) / mean(rx_fdm_log.*conj(rx_fdm_log));
papr_dB = 10*log10(papr);
ber = total_bit_errors / total_bits;
printf("%d bits %d errors BER: %1.4f PAPR(rx): %1.2f dB\n",total_bits, total_bit_errors, ber, papr_dB);
% ---------------------------------------------------------------------
% Plots
% ---------------------------------------------------------------------
xt = (1:frames)/Rs;
secs = frames/Rs;
figure(1); clf;
[n m] = size(rx_symbols_log);
plot(real(rx_symbols_log(1:Nc+1,15:m)),imag(rx_symbols_log(1:Nc+1,15:m)),'+')
axis([-2 2 -2 2]);
title('Scatter Diagram');
figure(2); clf;
plot(xt, rx_timing_log)
title('timing offset (samples)');
figure(3);
plot(xt, foff_log, '-;freq offset;')
%hold on;
%plot(xt, sync_log*75, 'r;course-fine;');
%hold off;
title('Freq offset (Hz)');
grid;
figure(4); clf;
plot_specgram(rx_fdm_log, Fs);
figure(5); clf;
subplot(311)
stem(xt, sync_log)
axis([0 secs 0 1.5]);
title('BPSK Sync')
subplot(312)
stem(xt, bit_errors_log);
title('Bit Errors for test frames')
subplot(313)
plot(xt, test_frame_sync_log);
axis([0 secs 0 1.5]);
title('Test Frame Sync')
figure(6); clf;
subplot(211);
plot(xt, snr_est_log);
title('SNR Estimates')
subplot(212)
snrdB_pc = 20*log10(sig_est(1:Nc+1)) - 20*log10(noise_est(1:Nc+1));
bar(snrdB_pc(1:Nc) - mean(snrdB_pc(1:Nc)))
axis([0 Nc+1 -3 3]);
figure(7); clf;
hold on;
lep = length(error_pattern_log);
if lep != 0
for p=1:Nc
plot(p + 0.25*error_pattern_log((p-1)*2+1:Nc*Nb:lep));
plot(0.30 + p + 0.25*error_pattern_log(p*2:Nc*Nb:lep),'r')
end
hold off;
axis([1 lep/(Nc*Nb) 0 Nc])
end
figure(8); clf;
subplot(211)
[a b] = size(rx_fdm_log);
xt1 = (1:b)/Fs;
plot(xt1, rx_fdm_log);
title('Rx FDM Signal');
subplot(212)
plot((0:Nspec/2-1)*Fs/Nspec, SdB(1:Nspec/2) - 20*log10(Nspec/2))
axis([0 Fs/2 -40 0])
grid
title('FDM Rx Spectrum');
if 0
% interleaving tests
load ../unittest/inter560.txt
lep = length(error_pattern_log);
lep = floor(lep/560)*560;
error_pattern_log_inter = zeros(1,lep);
for i=1:560:lep
for j=1:560
%printf("i: %4d j: %4d inter560(j): %4d\n", i,j,inter560(j));
index = inter560(j);
error_pattern_log_inter(i-1+index+1) = error_pattern_log(i-1+j);
end
end
figure(8)
clf;
hold on;
for p=1:Nc
plot(p + 0.25*error_pattern_log_inter((p-1)*2+1:Nc*Nb:lep));
plot(0.30 + p + 0.25*error_pattern_log_inter(p*2:Nc*Nb:lep),'r')
end
hold off;
axis([1 lep/(Nc*Nb) 0 Nc])
end
% optionally save error pattern file
if nargin == 4
fout = fopen(errorpatternfilename, "wb");
fwrite(fout, error_pattern_log, "short");
fclose(fout);
end
endfunction
third_party/codec2/octave/fdmdv_demod_c.m
Vendored
+134
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% fdmdv_demod_c.m
%
% Plots Octave dump file information from C FDMDV demodulator program,
% to give a similar set of plots to fdmdv_demod.m. Useful for off
% line analysis of demod performance.
%
% Copyright David Rowe 2012
% This program is distributed under the terms of the GNU General Public License
% Version 2
%
function fdmdv_demod_c(dumpfilename, bits)
pkg load signal;
fdmdv; % include modem code
f = fdmdv_init;
Nc = f.Nc; Nb = f.Nb; Rs = f.Rs; M = f.M; Fs = f.Fs;
frames = bits/(Nc*Nb);
load(dumpfilename);
% BER stats
total_bit_errors = 0;
total_bits = 0;
bit_errors_log = [];
sync_log = [];
test_frame_sync_log = [];
test_frame_sync_state = 0;
% Run thru received bits to look for test pattern
bits_per_frame = Nc*Nb;
for fr=1:frames
rx_bits = rx_bits_log_c((fr-1)*bits_per_frame+1:fr*bits_per_frame);
% count bit errors if we find a test frame
[test_frame_sync bit_errors error_pattern f] = put_test_bits(f, rx_bits);
if (test_frame_sync == 1)
total_bit_errors = total_bit_errors + bit_errors;
total_bits = total_bits + f.Ntest_bits;
bit_errors_log = [bit_errors_log bit_errors/f.Ntest_bits];
else
bit_errors_log = [bit_errors_log 0];
end
% test frame sync state machine, just for more informative plots
next_test_frame_sync_state = test_frame_sync_state;
if (test_frame_sync_state == 0)
if (test_frame_sync == 1)
next_test_frame_sync_state = 1;
test_frame_count = 0;
end
end
if (test_frame_sync_state == 1)
% we only expect another test_frame_sync pulse every 4 symbols
test_frame_count++;
if (test_frame_count == 4)
test_frame_count = 0;
if ((test_frame_sync == 0))
next_test_frame_sync_state = 0;
end
end
end
test_frame_sync_state = next_test_frame_sync_state;
test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
end
ber = total_bit_errors / total_bits;
printf("%d bits %d errors BER: %1.4f\n",total_bits, total_bit_errors, ber);
% ---------------------------------------------------------------------
% Plots
% ---------------------------------------------------------------------
xt = (1:frames)/Rs;
secs = frames/Rs;
figure(1)
clf;
plot(real(rx_symbols_log_c(1:Nc+1,15:frames)),imag(rx_symbols_log_c(1:Nc+1,15:frames)),'+')
%plot(real(rx_symbols_log_c(Nc+1,15:frames)),imag(rx_symbols_log_c(Nc+1,15:frames)),'+')
axis([-2 2 -2 2]);
title('Scatter Diagram');
figure(2)
clf;
subplot(211)
plot(xt, rx_timing_log_c(1:frames))
title('timing offset (samples)');
subplot(212)
plot(xt, foff_log_c(1:frames), '-;freq offset;')
hold on;
plot(xt, sync_log_c(1:frames)*75, 'r;course-fine;');
hold off;
title('Freq offset (Hz)');
grid
figure(3)
clf;
subplot(211)
b = M*frames;
xt1 = (1:b)/Fs;
plot(xt1, rx_fdm_log_c(1:b));
title('Rx FDM Signal');
subplot(212);
plot_specgram(rx_fdm_log_c(1:b), 8000);
title('FDM Rx Spectrogram');
figure(4)
clf;
subplot(311)
stem(xt, sync_bit_log_c(1:frames))
axis([0 secs 0 1.5]);
title('BPSK Sync')
subplot(312)
stem(xt, bit_errors_log);
title('Bit Errors for test frames')
subplot(313)
plot(xt, test_frame_sync_log);
axis([0 secs 0 1.5]);
title('Test Frame Sync')
figure(5)
clf;
plot(xt, snr_est_log_c(1:frames));
title('SNR Estimates')
endfunction
third_party/codec2/octave/fdmdv_demod_coh.m
Vendored
+253
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% fdmdv_demod_coh.m
%
% Demodulator function for FDMDV modem (Octave version). Requires
% 8kHz sample rate raw files as input. This version uses experimental
% pseudo coherent demodulation.
%
% Copyright David Rowe 2013
% This program is distributed under the terms of the GNU General Public License
% Version 2
%
function fdmdv_demod_coh(rawfilename, nbits, pngname)
fdmdv; % include modem code
modulation = 'dqpsk';
fin = fopen(rawfilename, "rb");
gain = 1000;
frames = nbits/(Nc*Nb);
prev_rx_symbols = ones(Nc+1,1);
foff_phase = 1;
% BER stats
total_bit_errors = 0;
total_bits = 0;
bit_errors_log = [];
sync_log = [];
test_frame_sync_log = [];
test_frame_sync_state = 0;
% SNR states
sig_est = zeros(Nc+1,1);
noise_est = zeros(Nc+1,1);
% logs of various states for plotting
rx_symbols_log = [];
rx_timing_log = [];
foff_log = [];
rx_fdm_log = [];
snr_est_log = [];
% misc states
nin = M; % timing correction for sample rate differences
foff = 0;
track_log = [];
track = 0;
fest_state = 0;
% pseudo coherent demod states
rx_symbols_ph_log = [];
prev_rx_symbols_ph = ones(Nc+1,1);
rx_phase_offsets_log = [];
phase_amb_log = [];
% Main loop ----------------------------------------------------
for f=1:frames
% obtain nin samples of the test input signal
for i=1:nin
rx_fdm(i) = fread(fin, 1, "short")/gain;
end
rx_fdm_log = [rx_fdm_log rx_fdm(1:nin)];
% frequency offset estimation and correction
[pilot prev_pilot pilot_lut_index prev_pilot_lut_index] = get_pilot(pilot_lut_index, prev_pilot_lut_index, nin);
[foff_coarse S1 S2] = rx_est_freq_offset(rx_fdm, pilot, prev_pilot, nin);
if track == 0
foff = foff_coarse;
end
foff_log = [ foff_log foff ];
foff_rect = exp(j*2*pi*foff/Fs);
for i=1:nin
foff_phase *= foff_rect';
rx_fdm(i) = rx_fdm(i)*foff_phase;
end
% baseband processing
rx_baseband = fdm_downconvert(rx_fdm, nin);
rx_filt = rx_filter(rx_baseband, nin);
[rx_symbols rx_timing] = rx_est_timing(rx_filt, rx_baseband, nin);
rx_timing_log = [rx_timing_log rx_timing];
nin = M;
if rx_timing > 2*M/P
nin += M/P;
end
if rx_timing < 0;
nin -= M/P;
end
rx_symbols_log = [rx_symbols_log rx_symbols.*(conj(prev_rx_symbols)./abs(prev_rx_symbols))*exp(j*pi/4)];
% coherent phase offset estimation ------------------------------------
[rx_phase_offsets ferr] = rx_est_phase(rx_symbols);
rx_phase_offsets_log = [rx_phase_offsets_log rx_phase_offsets];
phase_amb_log = [phase_amb_log phase_amb];
rx_symbols_ph = rx_symbols_mem(:,floor(Nph/2)+1) .* exp(-j*(rx_phase_offsets + phase_amb));
rx_symbols_ph_log = [rx_symbols_ph_log rx_symbols_ph .* exp(j*pi/4)];
rx_symbols_ph = -1 + 2*(real(rx_symbols_ph .* exp(j*pi/4)) > 0) + j*(-1 + 2*(imag(rx_symbols_ph .* exp(j*pi/4)) > 0));
% Std differential (used for freq offset est and BPSK sync) and pseudo coherent detection -----------------------
[rx_bits_unused sync f_err pd ] = qpsk_to_bits(prev_rx_symbols, rx_symbols, modulation);
[rx_bits sync_unused ferr_unused pd_unused] = qpsk_to_bits(prev_rx_symbols_ph, rx_symbols_ph, 'dqpsk');
foff -= 0.5*f_err;
prev_rx_symbols = rx_symbols;
prev_rx_symbols_ph = rx_symbols_ph;
sync_log = [sync_log sync];
[sig_est noise_est] = snr_update(sig_est, noise_est, pd);
snr_est = calc_snr(sig_est, noise_est);
snr_est_log = [snr_est_log snr_est];
% freq est state machine
[track fest_state] = freq_state(sync, fest_state);
track_log = [track_log track];
% count bit errors if we find a test frame
[test_frame_sync bit_errors] = put_test_bits(test_bits, rx_bits);
if (test_frame_sync == 1)
total_bit_errors = total_bit_errors + bit_errors;
total_bits = total_bits + Ntest_bits;
bit_errors_log = [bit_errors_log bit_errors/Ntest_bits];
else
bit_errors_log = [bit_errors_log 0];
end
% test frame sync state machine, just for more informative plots
next_test_frame_sync_state = test_frame_sync_state;
if (test_frame_sync_state == 0)
if (test_frame_sync == 1)
next_test_frame_sync_state = 1;
test_frame_count = 0;
end
end
if (test_frame_sync_state == 1)
% we only expect another test_frame_sync pulse every 4 symbols
test_frame_count++;
if (test_frame_count == 4)
test_frame_count = 0;
if ((test_frame_sync == 0))
next_test_frame_sync_state = 0;
end
end
end
test_frame_sync_state = next_test_frame_sync_state;
test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
end
% ---------------------------------------------------------------------
% Print Stats
% ---------------------------------------------------------------------
ber = total_bit_errors / total_bits;
printf("%d bits %d errors BER: %1.4f\n",total_bits, total_bit_errors, ber);
% ---------------------------------------------------------------------
% Plots
% ---------------------------------------------------------------------
xt = (1:frames)/Rs;
secs = frames/Rs;
figure(1)
clf;
[n m] = size(rx_symbols_log);
plot(real(rx_symbols_log(1:Nc+1,15:m)),imag(rx_symbols_log(1:Nc+1,15:m)),'+')
axis([-2 2 -2 2]);
title('Scatter Diagram');
figure(2)
clf;
subplot(211)
plot(xt, rx_timing_log)
title('timing offset (samples)');
subplot(212)
plot(xt, foff_log, '-;freq offset;')
hold on;
plot(xt, track_log*75, 'r;course-fine;');
hold off;
title('Freq offset (Hz)');
grid
figure(3)
clf;
subplot(211)
[a b] = size(rx_fdm_log);
xt1 = (1:b)/Fs;
plot(xt1, rx_fdm_log);
title('Rx FDM Signal');
subplot(212)
spec(rx_fdm_log,8000);
title('FDM Rx Spectrogram');
figure(4)
clf;
subplot(311)
stem(xt, sync_log)
axis([0 secs 0 1.5]);
title('BPSK Sync')
subplot(312)
stem(xt, bit_errors_log);
title('Bit Errors for test frames')
subplot(313)
plot(xt, test_frame_sync_log);
axis([0 secs 0 1.5]);
title('Test Frame Sync')
figure(5)
clf;
plot(xt, snr_est_log);
title('SNR Estimates')
figure(6)
clf;
[n m] = size(rx_symbols_ph_log);
plot(real(rx_symbols_ph_log(1:Nc+1,15:m)),imag(rx_symbols_ph_log(1:Nc+1,15:m)),'+')
%plot(real(rx_symbols_ph_log(2,15:m)),imag(rx_symbols_ph_log(2,15:m)),'+')
axis([-2 2 -2 2]);
title('Scatter Diagram - after phase correction');
figure(7)
clf;
subplot(211)
plot(rx_phase_offsets_log(1,:))
subplot(212)
plot(phase_amb_log(1,:))
title('Rx Phase Offset Est')
endfunction
third_party/codec2/octave/fdmdv_mod.m
Vendored
+34
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% fdmdv_mod.m
%
% Modulator function for FDMDV modem, uses test frames as input and
% outputs a raw file of 16 bit shorts at a sample rate of 8 kHz.
%
% Copyright David Rowe 2012
% This program is distributed under the terms of the GNU General Public License
% Version 2
%
function tx_fdm = fdmdv_mod(rawfilename, nbits)
fdmdv; % include modem code
f = fdmdv_init;
Nc = f.Nc; Nb = f.Nb;
frames = floor(nbits/(Nc*Nb))
tx_fdm = [];
gain = 1000; % Scale up to 16 bit shorts
prev_tx_symbols = ones(Nc+1,1); prev_tx_symbols(Nc+1) = 2;
for i=1:frames
[tx_bits f] = get_test_bits(f,Nc*Nb);
[tx_symbols f] = bits_to_psk(f,prev_tx_symbols, tx_bits);
prev_tx_symbols = tx_symbols;
[tx_baseband f] = tx_filter(f, tx_symbols);
tx_fdm = [tx_fdm real(fdm_upconvert(f, tx_baseband))];
end
tx_fdm *= gain;
fout = fopen(rawfilename,"wb");
fwrite(fout, tx_fdm, "short");
fclose(fout);
endfunction
third_party/codec2/octave/fdmdv_ut.m
Vendored
+362
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% fdmdv_ut.m
%
% Unit Test program for FDMDV modem. Useful for general development as it has
% both tx and rx sides, and basic AWGN channel simulation.
%
% Copyright David Rowe 2012
% This program is distributed under the terms of the GNU General Public License
% Version 2
%
fdmdv; % load modem code
fd = fdmdv_init;
Nc = fd.Nc;
M = fd.M;
Fs = fd.Fs;
Rs = fd.Rs;
Nb = fd.Nb;
P = fd.P;
Q = fd.Q;
% Simulation Parameters --------------------------------------
% Short-ish run for ctest. For regular development try frames=100, EbNo_dB=7.3
frames = 25;
EbNo_dB = 100;
Foff_hz = -100;
modulation = 'dqpsk';
hpa_clip = 150;
% ------------------------------------------------------------
more off;
tx_filt = zeros(Nc,M);
rx_symbols_log = [];
rx_phase_log = 0;
rx_timing_log = 0;
tx_pwr = 0;
noise_pwr = 0;
rx_fdm_log = [];
rx_baseband_log = [];
rx_bits_offset = zeros(Nc*Nb*2);
prev_tx_symbols = ones(Nc+1,1); prev_tx_symbols(Nc+1) = 2;
prev_rx_symbols = ones(Nc+1,1);
ferr = 0;
foff = 0;
foff_log = [];
tx_baseband_log = [];
tx_fdm_log = [];
% BER stats
total_bit_errors = 0;
total_bits = 0;
bit_errors_log = [];
sync_bit_log = [];
test_frame_sync_log = [];
test_frame_sync_state = 0;
% SNR estimation states
sig_est = zeros(Nc+1,1);
noise_est = zeros(Nc+1,1);
% fixed delay simuation
Ndelay = M+20;
rx_fdm_delay = zeros(Ndelay,1);
% ---------------------------------------------------------------------
% Eb/No calculations. We need to work out Eb/No for each FDM carrier.
% Total power is sum of power in all FDM carriers
% ---------------------------------------------------------------------
C = 1; % power of each FDM carrier (energy/sample). Total Carrier power should = Nc*C = Nc
N = 1; % total noise power (energy/sample) of noise source across entire bandwidth
% Eb = Carrier power * symbol time / (bits/symbol)
% = C *(1/Rs) / Nb
Eb_dB = 10*log10(C) - 10*log10(Rs) - 10*log10(Nb);
No_dBHz = Eb_dB - EbNo_dB;
% Noise power = Noise spectral density * bandwidth
% Noise power = Noise spectral density * Fs/2 for real signals
N_dB = No_dBHz + 10*log10(Fs/2);
Ngain_dB = N_dB - 10*log10(N);
Ngain = 10^(Ngain_dB/20);
% C/No = Carrier Power/noise spectral density
% = power per carrier*number of carriers / noise spectral density
CNo_dB = 10*log10(C) + 10*log10(Nc) - No_dBHz;
% SNR in equivalent 3000 Hz SSB channel
B = 3000;
SNR = CNo_dB - 10*log10(B);
% freq offset simulation states
phase_offset = 1;
freq_offset = exp(j*2*pi*Foff_hz/Fs);
foff_phase = 1;
t = 0;
foff = 0;
fest_state = 0;
fest_timer = 0;
sync_mem = zeros(1,fd.Nsync_mem);
sync = 0;
sync_log = [];
snr_log = [];
Nspec=1024;
spec_mem=zeros(1,Nspec);
SdB = zeros(1,Nspec);
% ---------------------------------------------------------------------
% Main loop
% ---------------------------------------------------------------------
for f=1:frames
% -------------------
% Modulator
% -------------------
[tx_bits fd] = get_test_bits(fd,Nc*Nb);
[tx_symbols fd] = bits_to_psk(fd, prev_tx_symbols, tx_bits);
prev_tx_symbols = tx_symbols;
[tx_baseband fd] = tx_filter(fd, tx_symbols);
tx_baseband_log = [tx_baseband_log tx_baseband];
[tx_fdm fd] = fdm_upconvert(fd, tx_baseband);
tx_pwr = 0.9*tx_pwr + 0.1*real(tx_fdm)*real(tx_fdm)'/(M);
% -------------------
% Channel simulation
% -------------------
% frequency offset
%Foff_hz += 1/Rs;
Foff = Foff_hz;
for i=1:M
% Time varying freq offset
%Foff = Foff_hz + 100*sin(t*2*pi/(300*Fs));
%t++;
freq_offset = exp(j*2*pi*Foff/Fs);
phase_offset *= freq_offset;
tx_fdm(i) = phase_offset*tx_fdm(i);
end
tx_fdm = real(tx_fdm);
% HPA non-linearity
tx_fdm(find(abs(tx_fdm) > hpa_clip)) = hpa_clip;
tx_fdm_log = [tx_fdm_log tx_fdm];
rx_fdm = tx_fdm;
% AWGN noise
noise = Ngain*randn(1,M);
noise_pwr = 0.9*noise_pwr + 0.1*noise*noise'/M;
rx_fdm += noise;
rx_fdm_log = [rx_fdm_log rx_fdm];
% update spectrum
l=length(rx_fdm);
spec_mem(1:Nspec-l) = spec_mem(l+1:Nspec);
spec_mem(Nspec-l+1:Nspec) = rx_fdm;
S=fft(spec_mem.*hanning(Nspec)',Nspec);
SdB = 0.9*SdB + 0.1*20*log10(abs(S));
% -------------------
% Demodulator
% -------------------
% shift down to complex baseband
for i=1:M
fd.fbb_phase_rx = fd.fbb_phase_rx*fd.fbb_rect';
rx_fdm(i) = rx_fdm(i)*fd.fbb_phase_rx;
end
mag = abs(fd.fbb_phase_rx);
fd.fbb_phase_rx /= mag;
% frequency offset estimation and correction, need to call rx_est_freq_offset even in sync
% mode to keep states updated
[pilot prev_pilot fd.pilot_lut_index fd.prev_pilot_lut_index] = get_pilot(fd, fd.pilot_lut_index, fd.prev_pilot_lut_index, M);
[foff_coarse S1 S2 fd] = rx_est_freq_offset(fd, rx_fdm, pilot, prev_pilot, M, !sync);
if sync == 0
foff = foff_coarse;
end
foff_log = [ foff_log foff ];
foff_rect = exp(j*2*pi*foff/Fs);
for i=1:M
foff_phase *= foff_rect';
rx_fdm(i) = rx_fdm(i)*foff_phase;
end
[rx_fdm_filter fd] = rxdec_filter(fd, rx_fdm, M);
[rx_filt fd] = down_convert_and_rx_filter(fd, rx_fdm_filter, M, M/Q);
[rx_symbols rx_timing env fd] = rx_est_timing(fd, rx_filt, M);
rx_timing_log = [rx_timing_log rx_timing];
%rx_phase = rx_est_phase(rx_symbols);
%rx_phase_log = [rx_phase_log rx_phase];
%rx_symbols = rx_symbols*exp(j*rx_phase);
[rx_bits sync_bit foff_fine pd] = psk_to_bits(fd, prev_rx_symbols, rx_symbols, modulation);
if strcmp(modulation,'dqpsk')
rx_symbols_log = [rx_symbols_log pd];
else
rx_symbols_log = [rx_symbols_log rx_symbols];
endif
foff -= 0.5*foff_fine;
prev_rx_symbols = rx_symbols;
sync_bit_log = [sync_bit_log sync_bit];
% freq est state machine
[sync reliable_sync_bit fest_state fest_timer sync_mem] = freq_state(fd, sync_bit, fest_state, fest_timer, sync_mem);
sync_log = [sync_log sync];
% Update SNR est
[sig_est noise_est] = snr_update(fd, sig_est, noise_est, pd);
snr_log = [snr_log calc_snr(fd, sig_est, noise_est)];
% count bit errors if we find a test frame
% Allow 15 frames for filter memories to fill and time est to settle
[test_frame_sync bit_errors error_pattern fd] = put_test_bits(fd, rx_bits);
if test_frame_sync == 1
total_bit_errors = total_bit_errors + bit_errors;
total_bits = total_bits + fd.Ntest_bits;
bit_errors_log = [bit_errors_log bit_errors];
else
bit_errors_log = [bit_errors_log 0];
end
% test frame sync state machine, just for more informative plots
next_test_frame_sync_state = test_frame_sync_state;
if (test_frame_sync_state == 0)
if (test_frame_sync == 1)
next_test_frame_sync_state = 1;
test_frame_count = 0;
end
end
if (test_frame_sync_state == 1)
% we only expect another test_frame_sync pulse every 4 symbols
test_frame_count++;
if (test_frame_count == 4)
test_frame_count = 0;
if ((test_frame_sync == 0))
next_test_frame_sync_state = 0;
end
end
end
test_frame_sync_state = next_test_frame_sync_state;
test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
end
% ---------------------------------------------------------------------
% Print Stats
% ---------------------------------------------------------------------
ber = total_bit_errors / total_bits;
% Peak to Average Power Ratio calcs from http://www.dsplog.com
papr = max(tx_fdm_log.*conj(tx_fdm_log)) / mean(tx_fdm_log.*conj(tx_fdm_log));
papr_dB = 10*log10(papr);
% Note Eb/No set point is for Nc data carriers only, excluding pilot.
% This is convenient for testing BER versus Eb/No. Measured SNR &
% Eb/No includes power of pilot. Similar for SNR, first number is SNR
% excluding pilot pwr for Eb/No set point, 2nd value is measured SNR
% which will be a little higher as pilot power is included. Note current SNR
% est algorithm only works for QPSK, gives silly values for 8PSK.
printf("Bits/symbol.: %d\n", Nb);
printf("Num carriers: %d\n", Nc);
printf("Bit Rate....: %d bits/s\n", fd.Rb);
printf("Eb/No (meas): %2.2f (%2.2f) dB\n", EbNo_dB, 10*log10(0.25*tx_pwr*Fs/(Rs*Nc*noise_pwr)));
printf("bits........: %d\n", total_bits);
printf("errors......: %d\n", total_bit_errors);
printf("BER.........: %1.4f\n", ber);
printf("PAPR........: %1.2f dB\n", papr_dB);
printf("SNR...(meas): %2.2f (%2.2f) dB\n", SNR, calc_snr(fd, sig_est, noise_est));
% ---------------------------------------------------------------------
% Plots
% ---------------------------------------------------------------------
figure(1)
clf;
[n m] = size(rx_symbols_log);
plot(real(rx_symbols_log(1:Nc+1,15:m)),imag(rx_symbols_log(1:Nc+1,15:m)),'+')
axis([-3 3 -3 3]);
title('Scatter Diagram');
figure(2)
clf;
subplot(211)
plot(rx_timing_log)
title('timing offset');
subplot(212)
plot(foff_log, '-;freq offset;')
hold on;
plot(sync_log*75, 'r;Sync State & course(0) fine(1) freq tracking;');
hold off;
title('Freq offset (Hz)');
figure(3)
clf;
subplot(211)
plot(real(tx_fdm_log));
title('FDM Tx Signal');
subplot(212)
plot((0:Nspec/2-1)*Fs/Nspec, SdB(1:Nspec/2) - 20*log10(Nspec/2))
axis([0 Fs/2 -40 0])
grid
title('FDM Rx Spectrum');
figure(4)
clf;
subplot(311)
stem(sync_bit_log)
axis([0 frames 0 1.5]);
title('BPSK Sync')
subplot(312)
stem(bit_errors_log);
title('Bit Errors for test frames')
subplot(313)
plot(test_frame_sync_log);
axis([0 frames 0 1.5]);
title('Test Frame Sync')
figure(5)
clf
subplot(211)
plot(snr_log)
subplot(212)
%plot(20*log10(sig_est(1:Nc))-20*log10(sig_est(Nc+1))+6)
%axis([1 Nc -6 6]);
sdB_pc = 20*log10(sig_est(1:Nc+1));
bar(sdB_pc(1:Nc) - mean(sdB_pc(1:Nc)))
axis([0 Nc+1 -3 3]);
third_party/codec2/octave/fsk_demod_file.m
Vendored
+139
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@@ -0,0 +1,139 @@
% fsk_demod_file.m
% David Rowe May 2020
%
% Demodulate a file of off air samples and plot a bunch of internal
% states. Useful for debugging the FSK demod configuration
#{
Sample usage to explore demodulator operation with a 100 bits/s 2FSK signal:
$ cd ~/codec2/build_linux/src
$ ./fsk_get_test_bits - 1000 | ./fsk_mod 2 8000 100 1000 1000 - ../../octave/fsk.s16
$ octave --no-gui
octave:1> fsk_demod_file("fsk.s16",format="s16",8000,100,2)
Same thing but complex (single sided):
$ ./fsk_get_test_bits - 1000 | ./fsk_mod 2 8000 100 1000 1000 - - | ./ch - fsk.cs16 --complexout
octave:2> fsk_demod_file("fsk.cs16",format="cs16",8000,100,2)
#}
function fsk_demod_file(filename, format="s16", Fs=8000, Rs=50, M=2, P=8, avoid_dc = 1, max_secs=1E32)
more off;
fsk_lib;
plot_en = 1;
states = fsk_init(Fs, Rs, M, P);
if strcmp(format,"s16")
read_complex = 0; sample_size = 'int16'; shift_fs_on_4=0;
elseif strcmp(format,"cs16") || strcmp(format,"iq16")
read_complex = 1; sample_size = 'int16'; shift_fs_on_4=0;
if avoid_dc states.fest_fmin = states.Rs*0.5; else states.fest_fmin = -Fs/2; end;
states.fest_fmax = Fs/2;
elseif strcmp(format,"iqfloat")
read_complex = 1; sample_size = 'float32'; shift_fs_on_4=0;
if avoid_dc states.fest_fmin = states.Rs*0.5; else states.fest_fmin = -Fs/2; end;
states.fest_fmax = Fs/2;
else
printf("Error in format: %s\n", format);
return;
end
fin = fopen(filename,"rb");
if fin == -1 printf("Error opening file: %s\n",filename); return; end
nbit = states.nbit;
frames = 0;
rx = []; rx_bits_log = []; norm_rx_timing_log = [];
f_int_resample_log = []; EbNodB_log = []; ppm_log = [];
f_log = []; Sf_log = [];
% Extract raw bits from samples ------------------------------------------------------
printf("demod of raw bits....\n");
finished = 0; ph = 1; secs = 0;
while (finished == 0)
% read nin samples from input file
nin = states.nin;
if read_complex
[sf count] = fread(fin, 2*nin, sample_size);
if strcmp(sample_size, "uint8") sf = (sf - 127)/128; end
sf = sf(1:2:end) + j*sf(2:2:end);
count /= 2;
if shift_fs_on_4
% optional shift up in freq by Fs/4 to get into freq est range
for i=1:count
ph = ph*exp(j*pi/4);
sf(i) *= ph;
end
end
else
[sf count] = fread(fin, nin, sample_size);
end
rx = [rx; sf];
if count == nin
frames++;
% demodulate to stream of bits
states = est_freq(states, sf, states.M);
if states.freq_est_type == 'mask' states.f = states.f2; end
[rx_bits states] = fsk_demod(states, sf);
rx_bits_log = [rx_bits_log rx_bits];
norm_rx_timing_log = [norm_rx_timing_log states.norm_rx_timing];
f_int_resample_log = [f_int_resample_log abs(states.f_int_resample)];
EbNodB_log = [EbNodB_log states.EbNodB];
ppm_log = [ppm_log states.ppm];
f_log = [f_log; states.f];
Sf_log = [Sf_log; states.Sf'];
else
finished = 1;
end
secs += nin/Fs;
if secs > max_secs finished=1; end
end
printf("frames: %d\n", frames);
fclose(fin);
if plot_en
printf("plotting...\n");
figure(1); clf;
rx_nowave = rx(1000:length(rx)); % skip past wav header if it's a wave file
subplot(211)
plot(real(rx_nowave));
title('input signal to demod (1 sec)')
xlabel('Time (samples)');
subplot(212);
last = min(length(rx_nowave),Fs);
Nfft = 2^(ceil(log2(last)));
Rx = fft(rx_nowave(1:last).*hanning(last),Nfft);
RxdB = 20*log10(abs(fftshift(Rx)));
mx = 10*ceil(max(RxdB/10));
f = -Nfft/2:Nfft/2-1;
plot(f*Fs/Nfft, RxdB);
axis([-Fs/2 Fs/2 mx-80 mx])
xlabel('Frequency (Hz)');
if length(rx) > Fs
figure(2); Ndft=2^ceil(log2(Fs/10)); specgram(rx,Ndft,Fs);
end
figure(3); clf; plot(f_log,'+-'); axis([1 length(f_log) -Fs/2 Fs/2]); title('Tone Freq Estimates');
figure(4); clf; mesh(Sf_log(1:end,:)); title('Freq Est Sf over time');
figure(5); clf; plot(f_int_resample_log','+'); title('Integrator outputs for each tone');
figure(6); clf; plot(norm_rx_timing_log); axis([1 frames -0.5 0.5]); title('norm fine timing')
figure(7); clf; plot(EbNodB_log); title('Eb/No estimate')
figure(8); clf; plot(ppm_log); title('Sample clock (baud rate) offset in PPM');
end
endfunction
third_party/codec2/octave/fsk_horus.m
Vendored
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% fsk_horus.m
% David Rowe 10 Oct 2015
%
% Project Horus High Altitude Balloon (HAB) FSK demodulator
% See blog write up "All your modems are belong to us"
% http://www.rowetel.com/?p=4629
fsk_lib;
% Basic modem set up for Horus
function states = fsk_horus_init(Fs,Rs,M=2)
states = fsk_init(Fs,Rs,M);
% Freq. estimator limits - keep these narrow to stop errors with low SNR 4FSK
states.fest_fmin = 300;
states.fest_fmax = 2800;
endfunction
% init rtty protocol specific states
function rtty = fsk_horus_init_rtty
% Generate unique word that correlates against the ASCII "$$$$$" that
% is at the start of each frame.
% $ -> 36 decimal -> 0 1 0 0 1 0 0 binary
dollar_bits = fliplr([0 1 0 0 1 0 0]);
mapped_db = 2*dollar_bits - 1;
sync_bits = [1 1 0];
mapped_sb = 2*sync_bits - 1;
mapped = [mapped_db mapped_sb];
npad = rtty.npad = 3; % one start and two stop bits between 7 bit ascii chars
nfield = rtty.nfield = 7; % length of ascii character field
rtty.uw = [mapped mapped mapped mapped mapped];
rtty.uw_thresh = length(rtty.uw) - 2; % allow a few bit errors when looking for UW
rtty.max_packet_len = 1000;
endfunction
% I think this is the binary protocol work from Jan 2016
function binary = fsk_horus_init_binary
% Generate 16 bit "$$" unique word that is at the front of every horus binary
% packet
dollar_bits = [0 0 1 0 0 1 0 0];
mapped_db = 2*dollar_bits - 1;
binary.uw = [mapped_db mapped_db];
binary.uw_thresh = length(binary.uw)-2; % no bit errors when looking for UW
binary.max_packet_len = 360;
endfunction
% Look for unique word and return index of first UW bit, or -1 if no
% UW found Sometimes there may be several matches, returns the
% position of the best match to UW.
function [uw_start best_corr corr] = find_uw(states, start_bit, rx_bits)
uw = states.uw;
mapped_rx_bits = 2*rx_bits - 1;
best_corr = 0;
uw_start = -1;
found_uw = 0;
% first first UW in buffer that exceeds threshold
for i=start_bit:length(rx_bits) - length(uw)
corr(i) = mapped_rx_bits(i:i+length(uw)-1) * uw';
if (found_uw == 0) && (corr(i) >= states.uw_thresh)
uw_start = i;
best_corr = corr;
found_uw = 1;
end
end
endfunction
% Extract ASCII string from a Horus frame of bits
function [str crc_ok] = extract_ascii(states, rx_bits_buf, uw_loc)
nfield = states.nfield;
npad = states.npad;
str = ""; str_dec = []; nstr = 0; ptx_crc = 1; rx_crc = "";
endpacket = 0;
st = uw_loc + length(states.uw); % first bit of first char
en = uw_loc + states.max_packet_len - nfield;
%printf("\nst: %d en: %d len: %d\n", st, en, length(rx_bits_buf));
for i=st:nfield+npad:en
field = rx_bits_buf(i:i+nfield-1);
ch_dec = field * (2.^(0:nfield-1))';
% filter out unlikely characters that bit errors may introduce, and ignore \n
if (ch_dec > 31) && (ch_dec < 91)
str = [str char(ch_dec)];
else
str = [str char(32)]; % space is "not sure"
end
nstr++;
% build up array for CRC16 check
if !endpacket && (ch_dec == 42)
endpacket = 1;
rx_crc = crc16(str_dec); % found a '*' so that's the end of the string for CRC calculations
ptx_crc = nstr+1; % this is where the transmit CRC starts
end
if !endpacket
str_dec = [str_dec ch_dec];
end
end
if (ptx_crc+3) <= length(str)
tx_crc = str(ptx_crc:ptx_crc+3);
crc_ok = strcmp(tx_crc, rx_crc);
else
crc_ok = 0;
end
str = str(1:ptx_crc-2);
endfunction
% Use soft decision information to find bits most likely in error. I think
% this is some form of maximum likelihood decoding.
function [str crc_ok rx_bits_log_flipped] = sd_bit_flipping(states, rx_bits_log, rx_bits_sd_log, st, en);
% force algorithm to ignore rs232 sync bits by marking them as "very likely", they have
% no input to crc algorithm
nfield = states.nfield;
npad = states.npad;
for i=st:nfield+npad:en
rx_bits_sd_log(i+nfield:i+nfield+npad-1) = 1E6;
end
% make a list of bits with smallest soft decn values
[dodgy_bits_mag dodgy_bits_index] = sort(abs(rx_bits_sd_log(st+length(states.uw):en)));
dodgy_bits_index += length(states.uw) + st - 1;
nbits = 6;
ntries = 2^nbits;
str = "";
crc_ok = 0;
% try various combinations of these bits
for i=1:ntries-1
error_mask = zeros(1, length(rx_bits_log));
for b=1:nbits
x = bitget(i,b);
bit_to_flip = dodgy_bits_index(b);
error_mask(bit_to_flip) = x;
%printf("st: %d i: %d b: %d x: %d index: %d\n", st, i,b,x,bit_to_flip);
end
rx_bits_log_flipped = xor(rx_bits_log, error_mask);
[str_flipped crc_ok_flipped] = extract_ascii(states, rx_bits_log_flipped, st);
if crc_ok_flipped
%printf("Yayy we fixed a packet by flipping with pattern %d\n", i);
str = str_flipped;
crc_ok = crc_ok_flipped;
end
end
endfunction
% Extract as many ASCII packets as we can from a great big buffer of bits
function npackets = extract_and_print_rtty_packets(states, rtty, rx_bits_log, rx_bits_sd_log)
% use UWs to delimit start and end of data packets
bit = 1;
nbits = length(rx_bits_log);
nfield = rtty.nfield;
npad = rtty.npad;
npackets = 0;
uw_loc = find_uw(rtty, bit, rx_bits_log, states.verbose);
while (uw_loc != -1)
if bitand(states.verbose,0x8)
printf("nbits: %d max_packet_len: %d uw_loc: %d\n", nbits, rtty.max_packet_len, uw_loc);
end
if (uw_loc + rtty.max_packet_len) < nbits
% Now start picking out 7 bit ascii chars from frame. It has some
% structure so we can guess where fields are. I hope we don't get
% RS232 idle bits stuck into it anywhere, ie "bit fields" don't
% change dynamically.
% dump msg bits so we can use them as a test signal
%msg = rx_bits_log(st:uw_loc-1);
%save -ascii horus_msg.txt msg
% simulate bit error for testing
%rx_bits_log(st+200) = xor(rx_bits_log(st+100),1);
%rx_bits_sd_log(st+100) = 0;
[str crc_ok] = extract_ascii(rtty, rx_bits_log, uw_loc);
if crc_ok == 0
[str_flipped crc_flipped_ok rx_bits_log] = sd_bit_flipping(rtty, rx_bits_log, rx_bits_sd_log, uw_loc, uw_loc+rtty.max_packet_len);
end
% update memory of previous packet, we use this to guess where errors may be
if crc_ok || crc_flipped_ok
states.prev_pkt = rx_bits_log(uw_loc+length(rtty.uw):uw_loc+rtty.max_packet_len);
end
if crc_ok
str = sprintf("%s CRC OK", str);
npackets++;
else
if crc_flipped_ok
str = sprintf("%s fixed", str_flipped);
else
str = sprintf("%s CRC BAD", str);
end
end
printf("%s\n", str);
end
% look for next packet
bit = uw_loc + length(rtty.uw);
uw_loc = find_uw(rtty, bit, rx_bits_log, states.verbose);
endwhile
endfunction
% Extract as many binary packets as we can from a great big buffer of bits,
% and send them to the C decoder for FEC decoding.
% horus_l2 can be compiled a bunch of different ways. You need to
% compile with:
% codec2-dev/src$ gcc horus_l2.c -o horus_l2 -Wall -DDEC_RX_BITS -DHORUS_L2_RX
function corr_log = extract_and_decode_binary_packets(states, binary, rx_bits_log)
corr_log = [];
% use UWs to delimit start and end of data packets
bit = 1;
nbits = length(rx_bits_log);
[uw_loc best_corr corr] = find_uw(binary, bit, rx_bits_log, states.verbose);
corr_log = [corr_log corr];
while (uw_loc != -1)
if (uw_loc+binary.max_packet_len) < nbits
% printf("uw_loc: %d best_corr: %d\n", uw_loc, best_corr);
% OK we have a packet delimited by two UWs. Lets convert the bit
% stream into bytes and save for decoding
pin = uw_loc;
for i=1:45
rx_bytes(i) = rx_bits_log(pin:pin+7) * (2.^(7:-1:0))';
pin += 8;
%printf("%d 0x%02x\n", i, rx_bytes(i));
end
f=fopen("horus_rx_bits_binary.bin","wb");
fwrite(f, rx_bytes, "uchar");
fclose(f);
% optionally write packet to disk to use as horus_tx_bits_binary.txt
f=fopen("horus_rx_bits_binary.txt","wt");
for i=uw_loc:uw_loc+45*8-1
fprintf(f, "%d ", rx_bits_log(i));
end
fclose(f);
system("../src/horus_l2"); % compile instructions above
end
bit = uw_loc + length(binary.uw);
[uw_loc best_corr corr] = find_uw(binary, bit, rx_bits_log, states.verbose);
corr_log = [corr_log corr];
endwhile
endfunction
% simulation of tx and rx side, add noise, channel impairments ----------------------
%
% test_frame_mode Description
% 1 BER testing using known test frames
% 2 random bits
% 3 repeating sequence of all symbols
% 4 Horus RTTY
% 5 Horus Binary
% 6 Horus High Speed: A 8x oversampled modem, e.g. Fs=9600, Rs=1200
% which is the same as Fs=921600 Rs=115200
% Uses packet based BER counter
function run_sim(test_frame_mode, M=2, frames = 10, EbNodB = 100, filename="fsk_horus.raw")
timing_offset = 0.0; % see resample() for clock offset below
fading = 0; % modulates tx power at 2Hz with 20dB fade depth,
% to simulate balloon rotating at end of mission
df = 0; % tx tone freq drift in Hz/s
dA = 1; % amplitude imbalance of tones (note this affects Eb so not a gd idea)
more off
rand('state',1);
randn('state',1);
% ----------------------------------------------------------------------
% sm2000 config ------------------------
%states = fsk_horus_init(96000, 1200);
%states.f1_tx = 4000;
%states.f2_tx = 5200;
if test_frame_mode < 4
% horus rtty config ---------------------
states = fsk_horus_init(8000, 50, M);
end
if test_frame_mode == 4
% horus rtty config ---------------------
states = fsk_horus_init(8000, 100, 2);
states.tx_bits_file = "horus_payload_rtty.txt"; % Octave file of bits we FSK modulate
rtty = fsk_horus_init_rtty;
states.ntestframebits = rtty.max_packet_len;
end
if test_frame_mode == 5
% horus binary config ---------------------
states = fsk_horus_init(8000, 100, 4);
binary = fsk_horus_init_binary;
states.tx_bits_file = "horus_tx_bits_binary.txt"; % Octave file of bits we FSK modulate
states.ntestframebits = binary.max_packet_len;
end
if test_frame_mode == 6
% horus high speed ---------------------
states = fsk_horus_init(Fs=9600, Rs=1200, M=2, P=8, nsym=16);
states.tx_bits_file = "horus_high_speed.bin";
end
% Tones must be at least Rs apart for ideal non-coherent FSK
states.ftx = 900 + 2*states.Rs*(1:states.M);
states.tx_tone_separation = states.ftx(2) - states.ftx(1);
% ----------------------------------------------------------------------
states.verbose = 0x1;
M = states.M;
N = states.N;
P = states.P;
Rs = states.Rs;
nsym = states.nsym;
nbit = states.nbit;
Fs = states.Fs;
states.df(1:M) = df;
states.dA(1:M) = dA;
% optional noise. Useful for testing performance of waveforms from real world modulators
EbNo = 10^(EbNodB/10);
variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
% set up tx signal with payload bits based on test mode
if (test_frame_mode == 1)
% test frame of bits, which we repeat for convenience when BER testing
states.ntestframebits = states.nbit;
test_frame = round(rand(1, states.ntestframebits));
tx_bits = [];
for i=1:frames+1
tx_bits = [tx_bits test_frame];
end
end
if test_frame_mode == 2
% random bits, just to make sure sync algs work on random data
tx_bits = round(rand(1, states.nbit*(frames+1)));
end
if test_frame_mode == 3
% repeating sequence of all symbols
% great for initial test of demod if nothing else works,
% look for this pattern in rx_bits
if M == 2
% ...10101...
tx_bits = zeros(1, states.nbit*(frames+1));
tx_bits(1:2:length(tx_bits)) = 1;
else
% repeat each possible 4fsk symbol
pattern = [0 0 0 1 1 0 1 1];
%pattern = [0 0 0 1 1 1 1 0];
nrepeats = states.nbit*(frames+1)/length(pattern);
tx_bits = [];
for b=1:nrepeats
tx_bits = [tx_bits pattern];
end
%tx_bits = zeros(1, states.nbit*(frames+1));
end
end
if (test_frame_mode == 4) || (test_frame_mode == 5)
% load up a horus msg from disk and modulate that
test_frame = load(states.tx_bits_file);
ltf = length(test_frame);
ntest_frames = ceil((frames+1)*nbit/ltf);
printf("Generating %d test packets\n", ntest_frames);
% 1 second of random bits to let estimators lock on
preamble = round(rand(1,states.Rs));
tx_bits = preamble;
for i=1:ntest_frames
tx_bits = [tx_bits test_frame];
end
% a packet len of random bits at end fill buffers to deocode final packet
if test_frame_mode == 4
postamble = round(rand(1,rtty.max_packet_len));
else
postamble = round(rand(1,binary.max_packet_len));
end
tx_bits = [tx_bits postamble];
end
if test_frame_mode == 6
states.verbose += 0x4;
ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
states.ntestframebits = length(test_frame);
printf("length test frame: %d\n", states.ntestframebits);
%test_frame = rand(1,states.ntestframebits) > 0.5;
tx_bits = [];
for i=1:frames+1
tx_bits = [tx_bits test_frame];
end
end
tx = fsk_mod(states, tx_bits);
%tx = resample(tx, 1000, 1001); % simulated 1000ppm sample clock offset
if fading
ltx = length(tx);
tx = tx .* (1.1 + cos(2*pi*2*(0:ltx-1)/Fs))'; % min amplitude 0.1, -20dB fade, max 3dB
end
noise = sqrt(variance)*randn(length(tx),1);
rx = tx + noise;
printf("SNRdB meas: %4.1f\n", 10*log10(var(tx)/var(noise)));
% dump simulated rx file
ftx=fopen(filename,"wb"); rxg = rx*1000; fwrite(ftx, rxg, "short"); fclose(ftx);
timing_offset_samples = round(timing_offset*states.Ts);
st = 1 + timing_offset_samples;
rx_bits_buf = zeros(1,nbit+states.ntestframebits);
x_log = [];
timing_nl_log = [];
norm_rx_timing_log = [];
f_int_resample_log = [];
f_log = [];
EbNodB_log = [];
rx_bits_log = [];
rx_bits_sd_log = [];
% main loop ---------------------------------------------------------------
run_frames = floor(length(rx)/N)-1;
for f=1:run_frames
% extract nin samples from input stream
nin = states.nin;
en = st + states.nin - 1;
if en < length(rx) % due to nin variations its possible to overrun buffer
sf = rx(st:en);
st += nin;
% demodulate to stream of bits
states = est_freq(states, sf, states.M);
%states.f = 900 + 2*states.Rs*(1:states.M);
%states.f = [1200 1400 1600 1800];
[rx_bits states] = fsk_demod(states, sf);
rx_bits_buf(1:states.ntestframebits) = rx_bits_buf(nbit+1:states.ntestframebits+nbit);
rx_bits_buf(states.ntestframebits+1:states.ntestframebits+nbit) = rx_bits;
%rx_bits_buf(1:nbit) = rx_bits_buf(nbit+1:2*nbit);
%rx_bits_buf(nbit+1:2*nbit) = rx_bits;
rx_bits_log = [rx_bits_log rx_bits];
rx_bits_sd_log = [rx_bits_sd_log states.rx_bits_sd];
norm_rx_timing_log = [norm_rx_timing_log states.norm_rx_timing];
x_log = [x_log states.x];
timing_nl_log = [timing_nl_log states.timing_nl];
f_int_resample_log = [f_int_resample_log abs(states.f_int_resample(:,:))];
f_log = [f_log; states.f];
EbNodB_log = [EbNodB_log states.EbNodB];
if test_frame_mode == 1
states = ber_counter(states, test_frame, rx_bits_buf);
end
if test_frame_mode == 6
states = ber_counter_packet(states, test_frame, rx_bits_buf);
end
end
end
% print stats, count errors, decode packets ------------------------------------------
if (test_frame_mode == 1) || (test_frame_mode == 6)
printf("frames: %d EbNo: %3.2f Tbits: %d Terrs: %d BER %4.3f\n", frames, EbNodB, states.Tbits,states. Terrs, states.Terrs/states.Tbits);
end
if test_frame_mode == 4
npackets = extract_and_print_rtty_packets(states, rtty, rx_bits_log, rx_bits_sd_log);
printf("Received %d packets\n", npackets);
end
if test_frame_mode == 5
extract_and_decode_binary_packets(states, binary, rx_bits_log);
end
figure(1);
plot(f_int_resample_log','+')
hold off;
figure(2)
clf
m = max(abs(x_log));
plot(x_log,'+')
axis([-m m -m m])
title('fine timing metric')
figure(3)
clf
subplot(211)
plot(norm_rx_timing_log);
axis([1 run_frames -1 1])
title('norm fine timing')
subplot(212)
plot(states.nerr_log)
title('num bit errors each frame')
figure(4)
clf
subplot(211)
one_sec_rx = rx(1:min(Fs,length(rx)));
plot(one_sec_rx)
title('rx signal at demod input')
subplot(212)
plot(abs(fft(one_sec_rx)))
figure(5)
clf
plot(f_log,'+')
title('tone frequencies')
axis([1 run_frames 0 Fs/2])
figure(6)
clf
plot(EbNodB_log);
title('Eb/No estimate')
figure(7)
clf
subplot(211)
X = abs(fft(timing_nl_log));
plot(X(1:length(X)/2))
subplot(212)
plot(abs(timing_nl_log(1:100)))
endfunction
% ---------------------------------------------------------------------
% demodulate from a user-supplied file
% ---------------------------------------------------------------------
function rx_bits_log = demod_file(filename, test_frame_mode=4, noplot=0, EbNodB=100, max_frames=1E32)
fin = fopen(filename,"rb");
more off;
read_complex = 0; sample_size = 'int16'; shift_fs_on_4 = 0;
max_frames
if test_frame_mode == 4
% horus rtty config ---------------------
states = fsk_horus_init(8000, 100, 2);
rtty = fsk_horus_init_rtty;
states.ntestframebits = rtty.max_packet_len;
end
if test_frame_mode == 5
% horus binary config ---------------------
states = fsk_horus_init(8000, 100, 4);
binary = fsk_horus_init_binary;
states.ntestframebits = binary.max_packet_len;
end
states.verbose = 0x1 + 0x8;
if test_frame_mode == 6
% Horus high speed config --------------
states = fsk_horus_init(Fs=9600, Rs=1200, M=2, P=8, nsym=16);
states.tx_bits_file = "horus_high_speed.bin";
states.verbose += 0x4;
ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
states.ntestframebits = length(test_frame);
printf("length test frame: %d\n", states.ntestframebits);
end
if test_frame_mode == 7
% 800XA 4FSK modem --------------
states = fsk_init(Fs=8000, Rs=400, M=4, P=10, nsym=256);
states.tx_bits_file = "horus_high_speed.bin";
states.verbose += 0x4;
ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
states.ntestframebits = length(test_frame);
printf("length test frame: %d\n", states.ntestframebits);
end
if test_frame_mode == 8
% test RS41 type balllon telemetry --------------
states = fsk_init(96000, 4800, 2, 10, 16);
states.fest_fmin = 1000;
states.fest_fmax = 40000;
states.fest_min_spacing = 1000;
states.tx_bits_file = "../build_linux/src/tx_bit.bin";
states.verbose += 0x4;
#ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
#states.ntestframebits = length(test_frame);
#printf("length test frame: %d\n", states.ntestframebits);
states.ntestframebits = 1000;
read_complex = 1;
shift_fs_on_4 = 1; % get samples into range of current freq estimator
end
if test_frame_mode == 9
% Wenet high speed SSTV, we can just check raw demo here ---------------------
% despite the high sample rate the modem sees this as a 8:1 Fs/Rs configuration
states = fsk_init(8000, 1000, 2);
states.tx_tone_separation = 1000;
states.ntestframebits = (256+2+65)*8+40; % from src/drs232_lpc.c
states.freq_est_type = 'mask';
read_complex=1; sample_size = 'uint8';
printf("Wenet mode: ntestframebits: %d freq_est_type: %s\n", states.ntestframebits, states.freq_est_type);
%states.verbose = 0x8;
end
N = states.N;
P = states.P;
Rs = states.Rs;
nsym = states.nsym;
nbit = states.nbit;
frames = 0;
rx = [];
rx_bits_log = [];
rx_bits_sd_log = [];
norm_rx_timing_log = [];
f_int_resample_log = [];
EbNodB_log = [];
ppm_log = [];
f_log = []; Sf_log = [];
rx_bits_buf = zeros(1,nbit + states.ntestframebits);
% optional noise. Useful for testing performance of waveforms from real world modulators
% we need to pre-read the file to estimate the signal power
ftmp = fopen(filename,"rb"); s = fread(ftmp,Inf,sample_size); fclose(ftmp);
if sample_size == "uint8" s = (s - 127)/128; end
if read_complex s = s(1:2:end) + j*s(2:2:end); end
tx_pwr = var(s);
EbNo = 10^(EbNodB/10);
variance = (tx_pwr/2)*states.Fs/(states.Rs*EbNo*states.bitspersymbol);
% First extract raw bits from samples ------------------------------------------------------
printf("demod of raw bits....\n");
finished = 0; ph = 1;
while (finished == 0)
% extract nin samples from input stream
nin = states.nin;
if read_complex
[sf count] = fread(fin, 2*nin, sample_size);
if sample_size == "uint8" sf = (sf - 127)/128; end
sf = sf(1:2:end) + j*sf(2:2:end);
count /= 2;
if shift_fs_on_4
% optional shift up in freq by Fs/4 to get into freq est range
for i=1:count
ph = ph*exp(j*pi/4);
sf(i) *= ph;
end
end
else
[sf count] = fread(fin, nin, "short");
end
rx = [rx; sf];
% add optional noise
if count
noise = sqrt(variance)*randn(count,1);
sf += noise;
end
if count == nin
frames++;
% demodulate to stream of bits
states = est_freq(states, sf, states.M);
if states.freq_est_type == 'mask' states.f = states.f2; end
[rx_bits states] = fsk_demod(states, sf);
rx_bits_buf(1:states.ntestframebits) = rx_bits_buf(nbit+1:states.ntestframebits+nbit);
rx_bits_buf(states.ntestframebits+1:states.ntestframebits+nbit) = rx_bits;
rx_bits_log = [rx_bits_log rx_bits];
rx_bits_sd_log = [rx_bits_sd_log states.rx_bits_sd];
norm_rx_timing_log = [norm_rx_timing_log states.norm_rx_timing];
f_int_resample_log = [f_int_resample_log abs(states.f_int_resample)];
EbNodB_log = [EbNodB_log states.EbNodB];
ppm_log = [ppm_log states.ppm];
f_log = [f_log; states.f];
Sf_log = [Sf_log; states.Sf'];
if (test_frame_mode == 1)
states = ber_counter(states, test_frame, rx_bits_buf);
if states.ber_state == 1
states.verbose = 0;
end
end
if (test_frame_mode == 6) % || (test_frame_mode == 8)
states = ber_counter_packet(states, test_frame, rx_bits_buf);
end
else
finished = 1;
end
if frames > max_frames finished=1; end
end
printf("frames: %d\n", frames);
fclose(fin);
if noplot == 0
printf("plotting...\n");
figure(1); clf;
plot(f_log);
title('Tone Freq Estimates');
figure(2);
plot(f_int_resample_log','+')
title('Integrator outputs for each tone');
figure(3); clf
subplot(211)
plot(norm_rx_timing_log)
axis([1 frames -0.5 0.5])
title('norm fine timing')
subplot(212)
plot(states.nerr_log)
title('num bit errors each frame')
figure(4); clf
plot(EbNodB_log);
title('Eb/No estimate')
figure(5); clf
rx_nowave = rx(1000:length(rx)); % skip past wav header if it's a wave file
subplot(211)
plot(real(rx_nowave));
title('input signal to demod (1 sec)')
xlabel('Time (samples)');
%axis([1 states.Fs -35000 35000])
% normalise spectrum to 0dB full scale with sine wave input
subplot(212);
if sample_size == "int16" max_value = 32767; end
if sample_size == "uint8" max_value = 127; end
RxdBFS = 20*log10(abs(fft(rx_nowave(1:states.Fs)))) - 20*log10((states.Fs/2)*max_value);
plot(RxdBFS)
axis([1 states.Fs/2 -80 0])
xlabel('Frequency (Hz)');
figure(6); clf
plot(ppm_log)
title('Sample clock (baud rate) offset in PPM');
figure(7); clf; mesh(Sf_log(1:10,:));
end
if (test_frame_mode == 1) || (test_frame_mode == 6)
printf("frames: %d Tbits: %d Terrs: %d BER %4.3f EbNo: %3.2f\n", frames, states.Tbits,states. Terrs, states.Terrs/states.Tbits, mean(EbNodB_log));
end
% we can decode both protocols at the same time
if (test_frame_mode == 4)
npackets = extract_and_print_rtty_packets(states, rtty, rx_bits_log, rx_bits_sd_log)
printf("Received %d packets\n", npackets);
end
if (test_frame_mode == 5)
corr_log = extract_and_decode_binary_packets(states, binary, rx_bits_log);
figure(8);
clf
plot(corr_log);
hold on;
plot([1 length(corr_log)],[binary.uw_thresh binary.uw_thresh],'g');
hold off;
title('UW correlation');
end
endfunction
% Over the years this modem has been used for many different FSK signals ...
if exist("fsk_horus_as_a_lib") == 0
run_sim(test_frame_mode=4, M=2, frames=30, EbNodB = 20);
%run_sim(5, 4, 30, 100);
%rx_bits = demod_file("~/Desktop/115.wav",6,0,90);
%rx_bits = demod_file("~/Desktop/fsk_800xa_rx_hackrf.wav",7);
%rx_bits = demod_file("~/Desktop/2fsk_100_rx_rpi_rtlsdr_002_ledger.wav",4);
%rx_bits = demod_file("~/Desktop/phorus_binary_ascii.wav",4);
%rx_bits = demod_file("~/Desktop/binary/horus_160102_binary_rtty_2.wav",4);
%rx_bits = demod_file("~/Desktop/horus_160102_vk5ei_capture2.wav",4);
%rx_bits = demod_file("~/Desktop/horus_rtty_binary.wav",4);
%rx_bits = demod_file("~/Desktop/FSK_4FSK.wav",4);
%rx_bits = demod_file("t.raw",5);
%rx_bits = demod_file("~/Desktop/fsk_horus_10dB_1000ppm.wav",4);
%rx_bits = demod_file("~/Desktop/fsk_horus_6dB_0ppm.wav",4);
%rx_bits = demod_file("test.raw",1,1);
%rx_bits = .rawdemod_file("/dev/ttyACM0",1);
%rx_bits = demod_file("fsk_horus_rx_1200_96k.raw",1);
%rx_bits = demod_file("mp.raw",4);
%rx_bits = demod_file("~/Desktop/launchbox_v2_landing_8KHz_final.wav",4);
%rx_bits = demod_file("~/Desktop/fsk_800xa.wav",7);
%rx_bits = demod_file("~/Desktop/rs41_96k_10s.iq16",8);
end
third_party/codec2/octave/fsk_lib.m
Vendored
+469
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@@ -0,0 +1,469 @@
% fsk_lib.m
% David Rowe Oct 2015 - present
%
% mFSK modem, started out life as RTTY demodulator for Project
% Horus High Altitude Ballon (HAB) telemetry, also used for:
%
% FreeDV 2400A: 4FSK UHF/UHF digital voice
% Wenet.......: 100 kbit/s HAB High Def image telemetry
%
% Handles frequency offsets, performance right on ideal, C implementation
% in codec2/src
1;
function states = fsk_init(Fs, Rs, M=2, P=8, nsym=50)
states.M = M;
states.bitspersymbol = log2(M);
states.Fs = Fs;
states.Rs = Rs;
states.nsym = nsym; % Number of symbols processed by demodulator in each call, also
% the timing estimator window
Ts = states.Ts = Fs/Rs; % number of samples per symbol
assert(Ts == floor(Ts), "Fs/Rs must be an integer");
N = states.N = Ts*states.nsym; % processing buffer size, nice big window for timing est
bin_width_Hz = 0.1*Rs; % we want enough DFT bins to get within 10% of the tones centre
Ndft = Fs/bin_width_Hz;
states.Ndft = 2.^ceil(log2(Ndft)); % round to nearest power of 2 for efficient FFT
states.Sf = zeros(states.Ndft,1); % current memory of dft mag samples
states.tc = 0.1; % average DFT over longtime window, accurate at low Eb/No, but slow
states.nbit = states.nsym*states.bitspersymbol; % number of bits per processing frame
Nmem = states.Nmem = N+2*Ts; % two symbol memory in down converted signals to allow for timing adj
states.f_dc = zeros(M,Nmem);
states.P = P; % oversample rate out of filter
assert(Ts/states.P == floor(Ts/states.P), "Ts/P must be an integer");
states.tx_tone_separation = 2*Rs;
states.nin = N; % can be N +/- Ts/P samples to adjust for sample clock offsets
states.verbose = 0;
states.phi = zeros(1, M); % keep down converter osc phase continuous
% BER stats
states.ber_state = 0;
states.ber_valid_thresh = 0.05; states.ber_invalid_thresh = 0.1;
states.Tbits = 0;
states.Terrs = 0;
states.nerr_log = 0;
% extra simulation parameters
states.tx_real = 1;
states.dA(1:M) = 1;
states.df(1:M) = 0;
states.f(1:M) = 0;
states.norm_rx_timing = 0;
states.ppm = 0;
states.prev_pkt = [];
% Freq. estimator limits
states.fest_fmax = Fs;
states.fest_fmin = 0;
states.fest_min_spacing = 0.75*Rs;
states.freq_est_type = 'peak';
%printf("Octave: M: %d Fs: %d Rs: %d Ts: %d nsym: %d nbit: %d N: %d Ndft: %d fmin: %d fmax: %d\n",
% states.M, states.Fs, states.Rs, states.Ts, states.nsym, states.nbit, states.N, states.Ndft, states.fest_fmin, states.fest_fmax);
endfunction
% modulator function
function tx = fsk_mod(states, tx_bits)
M = states.M;
Ts = states.Ts;
Fs = states.Fs;
ftx = states.ftx;
df = states.df; % tone freq change in Hz/s
dA = states.dA; % amplitude of each tone
num_bits = length(tx_bits);
num_symbols = num_bits/states.bitspersymbol;
tx = zeros(states.Ts*num_symbols,1);
tx_phase = 0;
s = 1;
for i=1:states.bitspersymbol:num_bits
% map bits to FSK symbol (tone number)
K = states.bitspersymbol;
tone = tx_bits(i:i+(K-1)) * (2.^(K-1:-1:0))' + 1;
tx_phase_vec = tx_phase + (1:Ts)*2*pi*ftx(tone)/Fs;
tx_phase = tx_phase_vec(Ts) - floor(tx_phase_vec(Ts)/(2*pi))*2*pi;
if states.tx_real
tx((s-1)*Ts+1:s*Ts) = dA(tone)*2.0*cos(tx_phase_vec);
else
tx((s-1)*Ts+1:s*Ts) = dA(tone)*exp(j*tx_phase_vec);
end
s++;
% freq drift
ftx += df*Ts/Fs;
end
states.ftx = ftx;
endfunction
% Estimate the frequency of the FSK tones. In some applications (such
% as balloon telemetry) these may not be well controlled by the
% transmitter, so we have to try to estimate them.
function states = est_freq(states, sf, ntones)
N = states.N;
Ndft = states.Ndft;
Fs = states.Fs;
% This assumption is OK for balloon telemetry but may not be true in
% general
min_tone_spacing = states.fest_min_spacing;
% set some limits to search range, which will mean some manual re-tuning
fmin = states.fest_fmin;
fmax = states.fest_fmax;
% note 0 Hz is mapped to Ndft/2+1 via fftshift
st = floor(fmin*Ndft/Fs) + Ndft/2; st = max(1,st);
en = floor(fmax*Ndft/Fs) + Ndft/2; en = min(Ndft,en);
#printf("Fs: %f Ndft: %d fmin: %f fmax: %f st: %d en: %d\n",Fs, Ndft, fmin, fmax, st, en)
% Update mag DFT ---------------------------------------------
% we break up input buffer to a series of overlapping Ndft sequences
numffts = floor(length(sf)/(Ndft/2)) - 1;
h = hanning(Ndft);
for i=1:numffts
a = (i-1)*Ndft/2+1; b = a + Ndft - 1;
Sf = abs(fftshift(fft(sf(a:b) .* h, Ndft)));
% Smooth DFT mag spectrum, slower to respond to changes but more
% accurate. Single order IIR filter is an exponentially weighted
% moving average. This means the freq est window is wider than
% timing est window
tc = states.tc; states.Sf = (1-tc)*states.Sf + tc*Sf;
end
% Search for each tone method 1 - peak pick each tone location ----------------------------------
f = []; a = [];
Sf = states.Sf;
for m=1:ntones
[tone_amp tone_index] = max(Sf(st:en));
tone_index += st - 1;
f = [f (tone_index-1-Ndft/2)*Fs/Ndft];
a = [a tone_amp];
% zero out region min_tone_spacing either side of max so we can find next highest peak
% closest spacing for non-coh mFSK is Rs
stz = tone_index - floor((min_tone_spacing)*Ndft/Fs);
stz = max(1,stz);
enz = tone_index + floor((min_tone_spacing)*Ndft/Fs);
enz = min(Ndft,enz);
Sf(stz:enz) = 0;
end
states.f = sort(f);
% Search for each tone method 2 - correlate with mask with non-zero entries at tone spacings -----
% Create a mask with non-zero entries at tone spacing. Might be
% smarter to use the DFT of a hanning window as mask
mask = zeros(1,Ndft);
mask(1:3) = 1;
for m=1:ntones-1
bin = round(m*states.tx_tone_separation*Ndft/Fs);
mask(bin:bin+2) = 1;
end
mask = mask(1:bin+2);
states.mask = mask;
% drag mask over Sf, looking for peak in correlation
b_max = st; corr_max = 0;
Sf = states.Sf; corr_log = [];
for b=st:en-length(mask)
corr = mask * Sf(b:b+length(mask)-1);
corr_log = [corr_log corr];
if corr > corr_max
corr_max = corr;
b_max = b;
end
end
foff = ((b_max-1)-Ndft/2)*Fs/Ndft;
if bitand(states.verbose, 0x8)
% enable this to single step through frames
figure(1); clf; subplot(211); plot(Sf,'b;sf;');
hold on; plot(max(Sf)*[zeros(1,b_max) mask],'g;mask;'); hold off;
subplot(212); plot(corr_log); ylabel('corr against f');
printf("foff: %4.0f\n", foff);
kbhit;
end
states.f2 = foff + (0:ntones-1)*states.tx_tone_separation;
end
% ------------------------------------------------------------------------------------
% Given a buffer of nin input Rs baud FSK samples, returns nsym bits.
%
% nin is the number of input samples required by demodulator. This is
% time varying. It will nominally be N (8000), and occasionally N +/-
% Ts/2 (e.g. 8080 or 7920). This is how we compensate for differences between the
% remote tx sample clock and our sample clock. This function always returns
% N/Ts (e.g. 50) demodulated bits. Variable number of input samples, constant number
% of output bits.
function [rx_bits states] = fsk_demod(states, sf)
M = states.M;
N = states.N;
Ndft = states.Ndft;
Fs = states.Fs;
Rs = states.Rs;
Ts = states.Ts;
nsym = states.nsym;
P = states.P;
nin = states.nin;
verbose = states.verbose;
Nmem = states.Nmem;
f = states.f;
assert(length(sf) == nin);
% down convert and filter at rate P ------------------------------
% update filter (integrator) memory by shifting in nin samples
nold = Nmem-nin; % number of old samples we retain
f_dc = states.f_dc;
f_dc(:,1:nold) = f_dc(:,Nmem-nold+1:Nmem);
% freq shift down to around DC, ensuring continuous phase from last frame, as nin may vary
for m=1:M
phi_vec = states.phi(m) + (1:nin)*2*pi*f(m)/Fs;
f_dc(m,nold+1:Nmem) = sf .* exp(j*phi_vec)';
states.phi(m) = phi_vec(nin);
states.phi(m) -= 2*pi*floor(states.phi(m)/(2*pi));
end
% save filter (integrator) memory for next time
states.f_dc = f_dc;
% integrate over symbol period, which is effectively a LPF, removing
% the -2Fc frequency image. Can also be interpreted as an ideal
% integrate and dump, non-coherent demod. We run the integrator at
% rate P*Rs (1/P symbol offsets) to get outputs at a range of
% different fine timing offsets. We calculate integrator output
% over nsym+1 symbols so we have extra samples for the fine timing
% re-sampler at either end of the array.
f_int = zeros(M,(nsym+1)*P);
for i=1:(nsym+1)*P
st = 1 + (i-1)*Ts/P;
en = st+Ts-1;
for m=1:M
f_int(m,i) = sum(f_dc(m,st:en));
end
end
states.f_int = f_int;
% fine timing estimation -----------------------------------------------
% Non linearity has a spectral line at Rs, with a phase
% related to the fine timing offset. See:
% http://www.rowetel.com/blog/?p=3573
% We have sampled the integrator output at Fs=P samples/symbol, so
% lets do a single point DFT at w = 2*pi*f/Fs = 2*pi*Rs/(P*Rs)
%
% Note timing non-linearity derived by experiment. Not quite sure what I'm doing here.....
% but it gives 0dB impl loss for 2FSK Eb/No=9dB, testmode 1:
% Fs: 8000 Rs: 50 Ts: 160 nsym: 50
% frames: 200 Tbits: 9700 Terrs: 93 BER 0.010
Np = length(f_int(1,:));
w = 2*pi*(Rs)/(P*Rs);
timing_nl = sum(abs(f_int(:,:)).^2);
x = timing_nl * exp(-j*w*(0:Np-1))';
norm_rx_timing = angle(x)/(2*pi);
rx_timing = norm_rx_timing*P;
states.x = x;
states.timing_nl = timing_nl;
states.rx_timing = rx_timing;
prev_norm_rx_timing = states.norm_rx_timing;
states.norm_rx_timing = norm_rx_timing;
% estimate sample clock offset in ppm
% d_norm_timing is fraction of symbol period shift over nsym symbols
d_norm_rx_timing = norm_rx_timing - prev_norm_rx_timing;
% filter out big jumps due to nin changes
if abs(d_norm_rx_timing) < 0.2
appm = 1E6*d_norm_rx_timing/nsym;
states.ppm = 0.9*states.ppm + 0.1*appm;
end
% work out how many input samples we need on the next call. The aim
% is to keep angle(x) away from the -pi/pi (+/- 0.5 fine timing
% offset) discontinuity. The side effect is to track sample clock
% offsets
next_nin = N;
if norm_rx_timing > 0.25
next_nin += Ts/4;
end
if norm_rx_timing < -0.25;
next_nin -= Ts/4;
end
states.nin = next_nin;
% Now we know the correct fine timing offset, Re-sample integrator
% outputs using fine timing estimate and linear interpolation, then
% extract the demodulated bits
low_sample = floor(rx_timing);
fract = rx_timing - low_sample;
high_sample = ceil(rx_timing);
if bitand(verbose,0x2)
printf("rx_timing: %3.2f low_sample: %d high_sample: %d fract: %3.3f nin_next: %d\n", rx_timing, low_sample, high_sample, fract, next_nin);
end
f_int_resample = zeros(M,nsym);
rx_bits = zeros(1,nsym*states.bitspersymbol);
tone_max = zeros(1,nsym);
rx_nse_pow = 1E-12; rx_sig_pow = 0.0;
for i=1:nsym
st = i*P+1;
f_int_resample(:,i) = f_int(:,st+low_sample)*(1-fract) + f_int(:,st+high_sample)*fract;
% Hard decision decoding, Largest amplitude tone is the winner.
% Map this FSK "symbol" back to bits, depending on M
[tone_max(i) tone_index] = max(f_int_resample(:,i));
st = (i-1)*states.bitspersymbol + 1;
en = st + states.bitspersymbol-1;
arx_bits = dec2bin(tone_index - 1, states.bitspersymbol) - '0';
rx_bits(st:en) = arx_bits;
% each filter is the DFT of a chunk of spectrum. If there is no tone in the
% filter it can be considered an estimate of noise in that bandwidth
rx_pows = f_int_resample(:,i) .* conj(f_int_resample(:,i));
rx_sig_pow += rx_pows(tone_index);
rx_nse_pow += (sum(rx_pows) - rx_pows(tone_index))/(M-1);
end
states.f_int_resample = f_int_resample;
% Eb/No estimation (todo: this needs some work, like calibration, low Eb/No perf, work for all M)
tone_max = abs(tone_max);
states.EbNodB = -6 + 20*log10(1E-6+mean(tone_max)/(1E-6+std(tone_max)));
% Estimators for LDPC decoder, might be a bit rough if nsym is small
rx_sig_pow = rx_sig_pow/nsym;
rx_nse_pow = rx_nse_pow/nsym;
states.v_est = sqrt(rx_sig_pow-rx_nse_pow);
states.SNRest = rx_sig_pow/rx_nse_pow;
endfunction
% BER counter and test frame sync logic -------------------------------------------
% We look for test_frame in rx_bits_buf, rx_bits_buf must be twice as long as test_frame
function states = ber_counter(states, test_frame, rx_bits_buf)
nbit = length(test_frame);
assert (length(rx_bits_buf) == 2*nbit);
state = states.ber_state;
next_state = state;
if state == 0
% try to sync up with test frame
nerrs_min = nbit;
for i=1:nbit
error_positions = xor(rx_bits_buf(i:nbit+i-1), test_frame);
nerrs = sum(error_positions);
if nerrs < nerrs_min
nerrs_min = nerrs;
states.coarse_offset = i;
end
end
if nerrs_min/nbit < states.ber_valid_thresh
next_state = 1;
end
if bitand(states.verbose,0x4)
printf("coarse offset: %d nerrs_min: %d next_state: %d\n", states.coarse_offset, nerrs_min, next_state);
end
states.nerr = nerrs_min;
end
if state == 1
% we're synced up, lets measure bit errors
error_positions = xor(rx_bits_buf(states.coarse_offset:states.coarse_offset+nbit-1), test_frame);
nerrs = sum(error_positions);
if nerrs/nbit > states.ber_invalid_thresh
next_state = 0;
if bitand(states.verbose,0x4)
printf("coarse offset: %d nerrs: %d next_state: %d\n", states.coarse_offset, nerrs, next_state);
end
else
states.Terrs += nerrs;
states.Tbits += nbit;
states.nerr_log = [states.nerr_log nerrs];
end
states.nerr = nerrs;
end
states.ber_state = next_state;
endfunction
% Alternative stateless BER counter that works on packets that may have gaps between them
function states = ber_counter_packet(states, test_frame, rx_bits_buf)
ntestframebits = states.ntestframebits;
nbit = states.nbit;
% look for offset with min errors
nerrs_min = ntestframebits; coarse_offset = 1;
for i=1:nbit
error_positions = xor(rx_bits_buf(i:ntestframebits+i-1), test_frame);
nerrs = sum(error_positions);
%printf("i: %d nerrs: %d\n", i, nerrs);
if nerrs < nerrs_min
nerrs_min = nerrs;
coarse_offset = i;
end
end
% if less than threshold count errors
if nerrs_min/ntestframebits < 0.05
states.Terrs += nerrs_min;
states.Tbits += ntestframebits;
states.nerr_log = [states.nerr_log nerrs_min];
if bitand(states.verbose, 0x4)
printf("coarse_offset: %d nerrs_min: %d\n", coarse_offset, nerrs_min);
end
end
endfunction
third_party/codec2/octave/fsk_lib_demo.m
Vendored
+101
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% fsk_lib_demo.m
% Uncoded FSK modem demo
fsk_lib;
% set up waveform
function [states M bits_per_frame] = modem_init(Rs,Fs,df)
M = 4;
states = fsk_init(Fs,Rs,M,P=8,nsym=100);
bits_per_frame = 512;
states.tx_real = 0; % complex signal
states.tx_tone_separation = 250;
states.ftx = -2.5*states.tx_tone_separation + states.tx_tone_separation*(1:M);
states.fest_fmin = -Fs/2;
states.fest_fmax = +Fs/2;
states.fest_min_spacing = Rs/2;
states.df = df;
states.ber_valid_thresh = 0.1;
states.ber_invalid_thresh = 0.2;
end
% Run a complete modem (freq and timing estimators running) at a
% single Eb/No point. At low Eb/No the estimators occasionally fall
% over so we get complete junk, we consider that case a packet error
% and exclude it from the BER estimation.
function [states ber per] = modem_run_test(EbNodB = 10, num_frames=10, Fs=8000, Rs=100, df=0, plots=0)
randn('state',1); rand('state',1);
[states M bits_per_frame] = modem_init(Rs, Fs, df);
N = states.N;
if plots; states.verbose = 0x4; end
EbNo = 10^(EbNodB/10);
variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
nbits = bits_per_frame*num_frames;
test_frame = round(rand(1,bits_per_frame)); tx_bits = [];
for f=1:num_frames
tx_bits = [tx_bits test_frame];
end
tx = fsk_mod(states, tx_bits);
noise = sqrt(variance/2)*randn(length(tx),1) + j*sqrt(variance/2)*randn(length(tx),1);
rx = tx + noise;
run_frames = floor(length(rx)/N)-1;
st = 1; f_log = []; f_log2 = []; rx_bits = []; rx_bits2 = [];
for f=1:run_frames
% extract nin samples from input stream
nin = states.nin;
en = st + states.nin - 1;
% due to nin variations it's possible to overrun buffer
if en < length(rx)
sf = rx(st:en);
states = est_freq(states, sf, states.M); states.f = states.f2;
[arx_bits states] = fsk_demod(states, sf);
rx_bits = [rx_bits arx_bits];
f_log = [f_log; states.f];
st += nin;
end
end
num_frames=floor(length(rx_bits)/bits_per_frame);
log_nerrs = []; num_frames_rx = 0;
for f=1:num_frames-1
st = (f-1)*bits_per_frame + 1; en = (f+1)*bits_per_frame;
states = ber_counter(states, test_frame, rx_bits(st:en));
log_nerrs = [log_nerrs states.nerr];
if states.ber_state; num_frames_rx++; end
end
if states.Terrs
printf("Fs: %d Rs: %d df % 3.2f EbNo: %4.2f ftx: %3d frx: %3d nbits: %4d nerrs: %3d ber: %4.3f\n",
Fs, Rs, df, EbNodB, num_frames, num_frames_rx, states.Tbits, states.Terrs, states.Terrs/states.Tbits);
ber = states.Terrs/states.Tbits;
else
ber = 0.5;
end
if plots
figure(1); clf;
ideal=ones(length(f_log),1)*states.ftx;
plot((1:length(f_log)),ideal(:,1),'bk;ideal;')
hold on; plot((1:length(f_log)),ideal(:,2:states.M),'bk'); hold off;
hold on;
plot(f_log(:,1), 'linewidth', 2, 'b;peak;');
plot(f_log(:,2:states.M), 'linewidth', 2, 'b');
hold off;
xlabel('Time (frames)'); ylabel('Frequency (Hz)');
figure(2); clf; plot(log_nerrs); title('Errors per frame');
end
per = 1 - num_frames_rx/num_frames;
end
[states ber per] = modem_run_test(EbNodB=6);
BER_theory=0.01579; % for Eb/No = 6dB
if ber < 1.5*BER_theory
printf("PASS\n");
end
third_party/codec2/octave/fsk_lib_ldpc.m
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% fsk_lib_ldpc.m
%
% Library of common functions used for LDPC coded 4FSK modem experiments
fsk_lib;
ldpc;
% set up modem waveform, real signal that an pass through a SSB radio
function [states M] = modem_init(Rs,Fs,df)
M = 4;
if Rs == 100 P=8; end
if Rs == 400 P=10; end;
states = fsk_init(Fs,Rs,M,P=10,nsym=100);
states.tx_real = 1;
states.tx_tone_separation = Rs;
if Rs == 100
states.ftx = 1500 -2.5*states.tx_tone_separation + states.tx_tone_separation*(1:M);
elseif Rs == 400
states.ftx = 600 + states.tx_tone_separation*(0:M-1);
else
disp("unknown symbol rate");
end
states.fest_fmin = 500;
states.fest_fmax = 2500;
states.fest_min_spacing = Rs/2;
states.df = df;
states.ber_valid_thresh = 0.1;
states.ber_invalid_thresh = 0.2;
states.amp_scale = 1000;
end
% set up modem waveform and LPC code
function [states code_param] = fsk_lib_ldpc_init (HRA, Rs, Fs, df=0, plots=0)
[states M] = modem_init(Rs, Fs, df);
N = states.N;
if plots; states.verbose = 0x4; end
Hsize=size(HRA);
states.rate = (Hsize(2)-Hsize(1))/Hsize(2);
code_param = ldpc_init_user(HRA, modulation='FSK', mod_order=states.M, mapping='gray');
states.coden = code_param.coded_bits_per_frame;
states.codek = code_param.data_bits_per_frame;
end
third_party/codec2/octave/fsk_lib_ldpc_demo.m
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% fsk_lib_ldpc_demo.m
%
% LDPC coded 4FSK modem demo, demonstrating soft dec using CML library functions
fsk_lib;
ldpc;
% set up waveform
function [states M] = modem_init(Rs,Fs,df)
M = 4;
states = fsk_init(Fs,Rs,M,P=8,nsym=100);
states.tx_real = 0;
states.tx_tone_separation = 250;
states.ftx = -2.5*states.tx_tone_separation + states.tx_tone_separation*(1:M);
states.fest_fmin = -Fs/2;
states.fest_fmax = +Fs/2;
states.fest_min_spacing = Rs/2;
states.df = df;
states.ber_valid_thresh = 0.1;
states.ber_invalid_thresh = 0.2;
end
% Run a complete modem (freq and timing estimators running) at a
% single Eb/No point. At low Eb/No the estimators occasionally fall
% over so we get complete junk, we consider that case a packet error
% and exclude it from the BER estimation.
function [states uber cber cper] = modem_run_test(HRA, EbNodB = 10, num_frames=10, Fs=8000, Rs=100, df=0, plots=0)
rand('seed',1); randn('seed',1);
[states M] = modem_init(Rs, Fs, df);
N = states.N;
if plots; states.verbose = 0x4; end
% set up LDPC code
Hsize=size(HRA);
Krate = (Hsize(2)-Hsize(1))/Hsize(2); states.rate = Krate;
code_param = ldpc_init_user(HRA, modulation='FSK', mod_order=states.M, mapping='gray');
states.coden = code_param.coded_bits_per_frame;
states.codek = code_param.data_bits_per_frame;
% set up AWGN noise
EcNodB = EbNodB + 10*log10(Krate);
EcNo = 10^(EcNodB/10);
variance = states.Fs/(states.Rs*EcNo*states.bitspersymbol);
data_bits = round(rand(1,code_param.data_bits_per_frame)); tx_bits = [];
for f=1:num_frames
codeword_bits = LdpcEncode(data_bits, code_param.H_rows, code_param.P_matrix);
tx_bits = [tx_bits codeword_bits];
end
% modulator and AWGN channel
tx = fsk_mod(states, tx_bits);
noise = sqrt(variance/2)*randn(length(tx),1) + j*sqrt(variance/2)*randn(length(tx),1);
rx = tx + noise;
% freq estimator and demod
run_frames = floor(length(rx)/N)-1;
st = 1; f_log = []; rx_bits = []; rx_filt = [];
for f=1:run_frames
% extract nin samples from input stream
nin = states.nin;
en = st + states.nin - 1;
% due to nin variations it's possible to overrun buffer
if en < length(rx)
sf = rx(st:en);
states = est_freq(states, sf, states.M); states.f = states.f2;
[arx_bits states] = fsk_demod(states, sf);
rx_bits = [rx_bits arx_bits];
rx_filt = [rx_filt abs(states.f_int_resample)];
f_log = [f_log; states.f];
st += nin;
end
end
% count bit errors in test frames
num_frames=floor(length(rx_bits)/code_param.coded_bits_per_frame);
log_nerrs = []; num_frames_rx = 0; Tbits = Terrs = Tperr = Tpackets = 0;
uber = cber = 0.5; cper = 1;
for f=1:num_frames-1
st = (f-1)*code_param.coded_bits_per_frame + 1; en = (f+1)*code_param.coded_bits_per_frame;
states = ber_counter(states, codeword_bits, rx_bits(st:en));
log_nerrs = [log_nerrs states.nerr];
if states.ber_state num_frames_rx++; end
% Using sync provided by ber_counter() state machine for LDPC frame alignment
if states.ber_state
st_bit = (f-1)*code_param.coded_bits_per_frame + states.coarse_offset;
st_symbol = (st_bit-1)/states.bitspersymbol + 1;
en_symbol = st_symbol + code_param.coded_bits_per_frame/states.bitspersymbol - 1;
%printf("coded_bits: %d bps: %d st_bit: %d st_symbol: %d en_symbol: %d\n",
%code_param.coded_bits_per_frame, states.bitspersymbol, st_bit, st_symbol, en_symbol);
% map FSK filter outputs to LLRs, then LDPC decode (see also fsk_cml_sam.m)
symL = DemodFSK(1/states.v_est*rx_filt(:,st_symbol:en_symbol), states.SNRest, 1);
llr = -Somap(symL);
[x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, max_iterations=100, decoder_type=0, 1, 1);
Niters = sum(PCcnt~=0);
detected_data = x_hat(Niters,:);
Nerrs = sum(xor(data_bits, detected_data(1:code_param.data_bits_per_frame)));
Terrs += Nerrs;
Tbits += code_param.data_bits_per_frame;
if Nerrs Tperr++; end
Tpackets++;
end
end
if states.Terrs
printf("Fs: %d Rs: %d df % 3.2f EbNo: %4.2f ftx: %3d frx: %3d\n",Fs, Rs, df, EbNodB, num_frames, num_frames_rx);
uber = states.Terrs/states.Tbits; cber = Terrs/Tbits; cper = Tperr/Tpackets;
printf(" Uncoded: nbits: %6d nerrs: %6d ber: %4.3f\n", states.Tbits, states.Terrs, uber);
printf(" Coded..: nbits: %6d nerrs: %6d ber: %4.3f\n", Tbits, Terrs, cber);
printf(" Coded..: npckt: %6d perrs: %6d per: %4.3f\n", Tpackets, Tperr, cper);
end
if plots
figure(1); clf;
ideal=ones(length(f_log),1)*states.ftx;
plot((1:length(f_log)),ideal(:,1),'bk;ideal;')
hold on; plot((1:length(f_log)),ideal(:,2:states.M),'bk'); hold off;
hold on;
plot(f_log(:,1), 'linewidth', 2, 'b;peak;');
plot(f_log(:,2:states.M), 'linewidth', 2, 'b');
hold off;
xlabel('Time (frames)'); ylabel('Frequency (Hz)');
figure(2); clf; plot(log_nerrs); title('Errors per frame');
end
end
function freq_run_curve_peak_mask(HRA, num_frames=100)
EbNodB = 4:10;
m4fsk_ber_theory = [0.23 0.18 0.14 0.09772 0.06156 0.03395 0.01579 0.00591 0.00168 3.39E-4];
uber_log = []; cber_log = []; cper_log = [];
for ne = 1:length(EbNodB)
[states uber cber cper] = modem_run_test(HRA, EbNodB(ne), num_frames);
uber_log = [uber_log uber]; cber_log = [cber_log cber]; cper_log = [cper_log cper];
end
figure(1); clf;
EbNodB_raw = EbNodB+10*log10(states.rate)
semilogy(EbNodB_raw, m4fsk_ber_theory(round(EbNodB_raw+1)), 'linewidth', 2, 'bk+-;uber theory;');
grid; hold on;
semilogy(EbNodB_raw, uber_log+1E-12, 'linewidth', 2, '+-;uber;');
semilogy(EbNodB, cber_log+1E-12, 'linewidth', 2, 'r+-;cber;');
semilogy(EbNodB, cper_log+1E-12, 'linewidth', 2, 'c+-;cper;'); hold off;
xlabel('Eb/No (info bits, dB)'); ylabel('BER/PER'); axis([min(EbNodB_raw) max(EbNodB) 1E-4 1]);
title(sprintf("%dFSK rate %3.1f (%d,%d) Ncodewords=%d NCodewordBits=%d Fs=%d Rs=%d",
states.M, states.rate, states.coden, states.codek, num_frames, states.Tbits, states.Fs, states.Rs));
print("fsk_lib_ldpc.png", "-dpng")
end
% Choose simulation here ---------------------------------------------------
init_cml();
load H_256_512_4.mat; HRA=H;
more off;
% single point
[states uber cber cper] = modem_run_test(HRA, EbNodB=8);
if cber == 0
printf("PASS\n");
end
% curve
%freq_run_curve_peak_mask(HRA, 200)
third_party/codec2/octave/gen_rn_coeffs.m
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% gen_rn_coeffs.m
% David Rowe 13 april 2012
%
% Generate root raised cosine (Root Nyquist) filter coefficients
% thanks http://www.dsplog.com/db-install/wp-content/uploads/2008/05/raised_cosine_filter.m
function coeffs = gen_rn_coeffs(alpha, T, Rs, Nsym, M)
Ts = 1/Rs;
n = -Nsym*Ts/2:T:Nsym*Ts/2;
Nfilter = Nsym*M;
Nfiltertiming = M+Nfilter+M;
sincNum = sin(pi*n/Ts); % numerator of the sinc function
sincDen = (pi*n/Ts); % denominator of the sinc function
sincDenZero = find(abs(sincDen) < 10^-10);
sincOp = sincNum./sincDen;
sincOp(sincDenZero) = 1; % sin(pix/(pix) =1 for x =0
cosNum = cos(alpha*pi*n/Ts);
cosDen = (1-(2*alpha*n/Ts).^2);
cosDenZero = find(abs(cosDen)<10^-10);
cosOp = cosNum./cosDen;
cosOp(cosDenZero) = pi/4;
gt_alpha5 = sincOp.*cosOp;
Nfft = 4096;
GF_alpha5 = fft(gt_alpha5,Nfft)/M;
% sqrt causes stop band to be amplified, this hack pushes it down again
for i=1:Nfft
if (abs(GF_alpha5(i)) < 0.02)
GF_alpha5(i) *= 0.001;
endif
end
GF_alpha5_root = sqrt(abs(GF_alpha5)) .* exp(j*angle(GF_alpha5));
ifft_GF_alpha5_root = ifft(GF_alpha5_root);
coeffs = real((ifft_GF_alpha5_root(1:Nfilter)));
endfunction
third_party/codec2/octave/gp_interleaver.m
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% gp_interleaver.m
%
% David Rowe May 2017
%
% Golden Prime Interleaver. My interprestation of "On the Analysis and
% Design of Good Algebraic Interleavers", Xie et al,eq (5).
1;
% return 1 if prime
function ret = is_prime(x)
for i=2:x-1
if mod(x,i) == 0
ret = 0;
return;
end
end
ret = 1;
end
function x = next_prime(x)
x++;
while is_prime(x) == 0
x++;
end
end
% Choose b for Golden Prime Interleaver. b is chosen to be the
% closest integer, which is relatively prime to N, to the Golden
% section of N.
function b = choose_interleaver_b(Nbits)
b = floor(Nbits/1.62);
b = next_prime(b);
assert(gcd(b,Nbits) == 1, "b and Nbits must be co-prime");
end
function interleaved_frame = gp_interleave(frame)
Nbits = length(frame);
b = choose_interleaver_b(Nbits);
interleaved_frame = zeros(1,Nbits);
for i=1:Nbits
j = mod((b*(i-1)), Nbits);
interleaved_frame(j+1) = frame(i);
end
endfunction
function frame = gp_deinterleave(interleaved_frame)
Nbits = length(interleaved_frame);
b = choose_interleaver_b(Nbits);
frame = zeros(1,Nbits);
for i=1:Nbits
j = mod((b*(i-1)), Nbits);
frame(i) = interleaved_frame(j+1);
end
endfunction
third_party/codec2/octave/h0p25d.mat
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third_party/codec2/octave/horus_high_speed.bin
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third_party/codec2/octave/horus_payload_rtty.txt
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third_party/codec2/octave/horus_tx_bits_binary.txt
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0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0
third_party/codec2/octave/ldpc.m
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% ldpc.m
%
#{
David Rowe 2013
Octave functions for the CML LDPC library.
To install and compile CML support:
$ sudo apt-get install liboctave-dev
$ git clone git@github.com:drowe67/cml.git
$ cd cml
$ make
If you have configured codec2 with cmake -DUNITTEST=1, then you will
already have CML (e.g. under build_linux/cml), as it is used to run unit tests.
To use CML when running Octave simulations from the Octave CLI, set an
environment variable for CML_PATH in your shell or in your
codec2/octave/.octaverc file:
setenv("CML_PATH",sprintf("%s/codec2/build_linux/cml",getenv("HOME")))
#}
1;
function init_cml()
currentdir = pwd;
path_to_cml = getenv("CML_PATH");
if exist(path_to_cml, 'dir') == 7
cd(path_to_cml)
CmlStartup
cd(currentdir);
else
printf("\n---------------------------------------------------\n");
printf("Can't start CML in path: %s\n", path_to_cml);
printf("See CML_PATH instructions at top of this script (ldpc.m)\n");
printf("-----------------------------------------------------\n\n");
assert(0);
end
end
% init using built in WiMax or DVSB2 code
function code_param = ldpc_init_builtin(code, rate, framesize, modulation, mod_order, mapping, constellation)
if strcmp(code,'wimax')
[code_param.H_rows, code_param.H_cols, code_param.P_matrix] = InitializeWiMaxLDPC( rate, framesize, 0 );
end
if strcmp(code,'dvbs2')
[code_param.H_rows, code_param.H_cols, code_param.P_matrix] = InitializeDVBS2( rate, framesize);
end
if nargin == 7
code_param.S_matrix = constellation;
else
if length(mapping) == 0
code_param.S_matrix = CreateConstellation( modulation, mod_order);
else
code_param.S_matrix = CreateConstellation( modulation, mod_order, mapping );
end
end
code_param.bits_per_symbol = log2(mod_order);
code_param.ldpc_data_bits_per_frame = length(code_param.H_cols) - length(code_param.P_matrix);
code_param.ldpc_parity_bits_per_frame = framesize - code_param.ldpc_data_bits_per_frame;
code_param.ldpc_coded_bits_per_frame = framesize;
code_param.data_bits_per_frame = code_param.ldpc_data_bits_per_frame;
code_param.coded_bits_per_frame = code_param.ldpc_coded_bits_per_frame;
code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
endfunction
% init using user supplied code
function [code_param framesize rate] = ldpc_init_user(HRA, modulation, mod_order, mapping, constellation)
[Nr Nc] = size(HRA);
rate = (Nc-Nr)/Nc;
framesize = Nc;
[H_rows, H_cols] = Mat2Hrows(HRA);
code_param.H_rows = H_rows;
code_param.H_cols = H_cols;
code_param.P_matrix = [];
if nargin == 5
code_param.S_matrix = constellation;
else
if length(mapping) == 0
code_param.S_matrix = CreateConstellation( modulation, mod_order);
else
code_param.S_matrix = CreateConstellation( modulation, mod_order, mapping );
end
end
code_param.bits_per_symbol = log2(mod_order);
code_param.ldpc_data_bits_per_frame = length(code_param.H_cols) - length(code_param.P_matrix);
code_param.ldpc_parity_bits_per_frame = framesize - code_param.ldpc_data_bits_per_frame;
code_param.ldpc_coded_bits_per_frame = framesize;
% these variables support 1's stuffing (not using all data bits to lower code rate)
code_param.data_bits_per_frame = code_param.ldpc_data_bits_per_frame;
code_param.coded_bits_per_frame = code_param.ldpc_coded_bits_per_frame;
code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
endfunction
function [codeword s] = ldpc_enc(data, code_param)
if code_param.data_bits_per_frame != code_param.ldpc_data_bits_per_frame
% optionally lower the code rate by "1's stuffing" - setting Nunused data bits to 1
Nunused = code_param.ldpc_data_bits_per_frame - code_param.data_bits_per_frame;
codeword = LdpcEncode([data ones(1,Nunused)], code_param.H_rows, code_param.P_matrix);
% remove unused data bits from codeword, as they are known to the receiver and don't need to be transmitted
codeword = [ codeword(1:code_param.data_bits_per_frame) codeword(code_param.ldpc_data_bits_per_frame+1:end) ];
else
codeword = LdpcEncode( data, code_param.H_rows, code_param.P_matrix );
end
s = Modulate( codeword, code_param.S_matrix );
endfunction
function [detected_data paritychecks] = ldpc_dec(code_param, max_iterations, ...
demod_type, decoder_type, r, ...
EsNo, fading)
% handle "1's stuffing" case where we don't use all data bits
Nunused = code_param.ldpc_data_bits_per_frame - code_param.data_bits_per_frame;
symbol_likelihood = Demod2D( r, code_param.S_matrix, EsNo, fading);
% initialize the extrinsic decoder input
input_somap_c = zeros(1, code_param.ldpc_coded_bits_per_frame - Nunused);
bit_likelihood = Somap( symbol_likelihood, demod_type, input_somap_c );
input_decoder_c = bit_likelihood(1:(code_param.ldpc_coded_bits_per_frame-Nunused));
% insert "very likely" LLRs for unused data bits (in 1's stuffing case)
input_decoder_c = [input_decoder_c(1:code_param.data_bits_per_frame) ...
100*ones(1,Nunused) ...
input_decoder_c(code_param.data_bits_per_frame+1:end)];
[x_hat paritychecks] = MpDecode( -input_decoder_c, code_param.H_rows, code_param.H_cols, ...
max_iterations, decoder_type, 1, 1);
[mx mx_ind] = max(paritychecks);
detected_data = x_hat(mx_ind,:);
endfunction
% Packs a binary array into an array of 8 bit bytes, MSB first
function packed = packmsb(unpacked)
packed = zeros(1,floor(length(unpacked)+7)/8);
bit = 7; byte = 1;
for i=1:length(unpacked)
packed(byte) = bitor(packed(byte), bitshift(unpacked(i),bit));
bit--;
if (bit < 0)
bit = 7;
byte++;
end
end
endfunction
% unpacks an array of 8 bit bytes into a binary array of unpacked bits, MSB first
function unpacked = unpackmsb(packed)
bit = 7; byte = 1;
for i=1:length(packed)*8
unpacked(i) = bitand(bitshift(packed(byte), -bit), 1);
bit--;
if (bit < 0)
bit = 7;
byte++;
end
end
endfunction
% symbol interleaver that acts on bits 2 at a time
function y = interleave_bits(interleaver, x)
y = zeros(1,length(x));
for i = 1:length(interleaver)
dst = interleaver(i);
y(2*(dst-1)+1:2*dst) = x(2*(i-1)+1:2*(i));
end
endfunction
% symbol de-interleaver
function x = deinterleave_symbols(interleaver, y)
for i = 1:length(interleaver)
x(i) = y(interleaver(i));
end
endfunction
third_party/codec2/octave/ldpc_fsk_lib.m
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% lpdc_fsk_lib.m
% April 2015
%
% Library version of ldpc4.m written by vk5dsp. Application is high bit rate
% balloon telemtry
%
% LDPC demo
% Call the CML routines and simulate one set of SNRs.
% This function is an updated version of ldpc3() which uses less
% of the CML functions
%
% sim_in the input parameter structure
% sim_out contains BERs and other stats for each value of SNR
% resfile is the result file
%
1;
function sim_out = ldpc5(sim_in, resfile, testmode, genie_Es, logging=0);
if nargin<4, testmode = 0; end
estEsN0 = 0;
HRA = sim_in.HRA;
framesize = sim_in.framesize;
rate = sim_in.rate;
mod_order = sim_in.mod_order;
Lim_Ferrs = sim_in.Lim_Ferrs;
Ntrials = sim_in.Ntrials;
Esvec = sim_in.Esvec;
demod_type = 0;
decoder_type = 0;
max_iterations = 100;
code_param = ldpc_init(HRA, mod_order);
bps = code_param.bits_per_symbol;
if (logging)
fod = fopen('decode.log', 'w');
fwrite(fod, 'Es estEs Its secs \n');
end
for ne = 1:length(Esvec)
Es = Esvec(ne);
EsNo = 10^(Es/10);
Terrs = 0; Tbits =0; Ferrs =0;
for nn = 1: Ntrials
data = round( rand( 1, code_param.data_bits_per_frame ) );
codeword = ldpc_encode(code_param, data);
code_param.code_bits_per_frame = length( codeword );
Nsymb = code_param.code_bits_per_frame/bps;
if testmode==1
f1 = fopen("dat_in2064.txt", "w");
for k=1:length(data); fprintf(f1, "%u\n", data(k)); end
fclose(f1);
system("./ra_enc");
load("dat_op2064.txt");
pbits = codeword(length(data)+1:end); % print these to compare with C code
dat_op2064(1:16)', pbits(1:16)
differences_in_parity = sum(abs(pbits - dat_op2064'))
pause;
end
% modulate
% s = Modulate( codeword, code_param.S_matrix );
s= 1 - 2 * codeword;
code_param.symbols_per_frame = length( s );
variance = 1/(2*EsNo);
noise = sqrt(variance)* randn(1,code_param.symbols_per_frame);
% + j*randn(1,code_param.symbols_per_frame) );
r = s + noise;
Nr = length(r);
[detected_data Niters] = ldpc_decode(r, code_param, max_iterations, decoder_type);
error_positions = xor( detected_data(1:code_param.data_bits_per_frame), data );
Nerrs = sum( error_positions);
t = clock; t = fix(t(5)*60+t(6));
if (logging)
fprintf(fod, ' %3d %4d\n', Niters, t);
end
if Nerrs>0, fprintf(1,'x'), else fprintf(1,'.'), end
if (rem(nn, 50)==0), fprintf(1,'\n'), end
if Nerrs>0, Ferrs = Ferrs +1; end
Terrs = Terrs + Nerrs;
Tbits = Tbits + code_param.data_bits_per_frame;
if Ferrs > Lim_Ferrs, disp(['exit loop with #cw errors = ' ...
num2str(Ferrs)]); break, end
end
TERvec(ne) = Terrs;
FERvec(ne) = Ferrs;
BERvec(ne) = Terrs/ Tbits;
Ebvec = Esvec - 10*log10(code_param.bits_per_symbol * rate);
cparams= [code_param.data_bits_per_frame code_param.symbols_per_frame ...
code_param.code_bits_per_frame];
sim_out.BERvec = BERvec;
sim_out.Ebvec = Ebvec;
sim_out.FERvec = FERvec;
sim_out.TERvec = TERvec;
sim_out.cpumins = cputime/60;
if nargin > 2
save(resfile, 'sim_in', 'sim_out', 'cparams');
disp(['Saved results to ' resfile ' at Es =' num2str(Es) 'dB']);
end
end
end
function code_param = ldpc_init(HRA, mod_order)
code_param.bits_per_symbol = log2(mod_order);
[H_rows, H_cols] = Mat2Hrows(HRA);
code_param.H_rows = H_rows;
code_param.H_cols = H_cols;
code_param.P_matrix = [];
code_param.data_bits_per_frame = length(code_param.H_cols) - length( code_param.P_matrix );
code_param.symbols_per_frame = length(HRA);
end
function codeword = ldpc_encode(code_param, data)
codeword = LdpcEncode( data, code_param.H_rows, code_param.P_matrix );
endfunction
% Takes soft decision symbols (e.g. output of 2fsk demod) and converts
% them to LLRs. Note we calculate mean and var manually instead of
% using internal functions. This was required to get a bit exact
% results against the C code.
function llr = sd_to_llr(sd)
sd = sd / mean(abs(sd));
x = sd - sign(sd);
sumsq = sum(x.^2);
summ = sum(x);
mn = summ/length(sd);
estvar = sumsq/length(sd) - mn*mn;
estEsN0 = 1/(2* estvar + 1E-3);
llr = 4 * estEsN0 * sd;
endfunction
% LDPC decoder - note it estimates EsNo from received symbols
function [detected_data Niters] = ldpc_decode(r, code_param, max_iterations, decoder_type)
% in the binary case the LLRs are just a scaled version of the rx samples ..
#{
r = r / mean(abs(r)); % scale for signal unity signal
estvar = var(r-sign(r));
estEsN0 = 1/(2* estvar + 1E-3);
input_decoder_c = 4 * estEsN0 * r;
#}
llr = sd_to_llr(r);
[x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, ...
max_iterations, decoder_type, 1, 1);
Niters = sum(PCcnt!=0);
detected_data = x_hat(Niters,:);
if isfield(code_param, "c_include_file")
ldpc_gen_h_file(code_param, max_iterations, decoder_type, llr, x_hat, detected_data);
end
end
% One application of FSK LDPC work is SSTV. This function generates a
% simulated frame for testing
function frame_rs232 = gen_sstv_frame
load('H2064_516_sparse.mat');
HRA = full(HRA);
mod_order = 2;
code_param = ldpc_init(HRA, mod_order);
% generate payload data bytes and checksum
data = floor(rand(1,256)*256);
%data = zeros(1,256);
checksum = crc16(data);
data = [data hex2dec(checksum(3:4)) hex2dec(checksum(1:2))];
% unpack bytes to bits and LPDC encode
mask = 2.^(7:-1:0); % MSB to LSB unpacking to match python tx code.
unpacked_data = [];
for b=1:length(data)
unpacked_data = [unpacked_data bitand(data(b), mask) > 0];
end
codeword = [ldpc_encode(code_param, unpacked_data) 0 0 0 0]; % pad with 0s to get integer number of bytes
% pack back into bytes to match python code
lpacked_codeword = length(codeword)/8;
packed_codeword = zeros(1,lpacked_codeword);
for b=1:lpacked_codeword
st = (b-1)*8 + 1;
packed_codeword(b) = sum(codeword(st:st+7) .* mask);
end
% generate header bits
header = [hex2dec('55')*ones(1,16) hex2dec('ab') hex2dec('cd') hex2dec('ef') hex2dec('01')];
% now construct entire unpacked frame
packed_frame = [header packed_codeword];
mask = 2.^(0:7); % LSB to MSB packing for header
lpacked_frame = length(packed_frame);
frame = [];
for b=1:lpacked_frame
frame = [frame bitand(packed_frame(b), mask) > 0];
end
% insert rs232 framing bits
frame_rs232 = [];
for b=1:8:length(frame)
frame_rs232 = [frame_rs232 0 frame(b:b+7) 1];
end
%printf("codeword: %d unpacked_header: %d frame: %d frame_rs232: %d \n", length(codeword), length(unpacked_header), length(frame), length(frame_rs232));
endfunction
% calculates and compares the checksum of a SSTV frame, that has RS232
% start and stop bits
function checksum_ok = sstv_checksum(frame_rs232)
l = length(frame_rs232);
expected_l = (256+2)*10;
assert(l == expected_l);
% extract rx bytes
rx_data = zeros(1,256);
mask = 2.^(0:7); % LSB to MSB
k = 1;
for i=1:10:expected_l
rx_bits = frame_rs232(i+1:i+8);
rx_data(k) = sum(rx_bits .* mask);
k++;
end
% calc rx checksum and extract tx checksum
rx_checksum = crc16(rx_data(1:256));
tx_checksum = sprintf("%02X%02X", rx_data(258), rx_data(257));
%printf("tx_checksum: %s rx_checksum: %s\n", tx_checksum, rx_checksum);
checksum_ok = strcmp(tx_checksum, rx_checksum);
endfunction
third_party/codec2/octave/ldpcut.m
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% ldpcut.m
%
% David Rowe 18 Dec 2013
%
% Octave LDPC unit test script using CML library, based on simulation
% by Bill Cowley VK5DSP
% Libraries we need
ldpc;
qpsk;
function sim_out = run_simulation(sim_in)
% Note this is effective Eb/No of payload data bits, sorta thing we
% plot on BER versus Eb/No graphs of decoded data. So if we have a
% rate 1/2 code, each codeword bit will have Eb/No - 3dB.
EbNodBvec = sim_in.EbNodBvec;
Ntrials = sim_in.Ntrials;
verbose = sim_in.verbose;
% Init LDPC code ------------------------------------
mod_order = 4; bps = 2;
modulation = 'QPSK';
mapping = 'gray';
demod_type = 0;
decoder_type = 0;
max_iterations = 100;
if strcmp(sim_in.code,'wimax')
rate = 0.5; framesize = 576*4;
code_param = ldpc_init_builtin(sim_in.code, rate, framesize, modulation, mod_order, mapping);
elseif strcmp(sim_in.code,'dvbs2')
framesize = 16200; rate = 0.8;
code_param = ldpc_init_builtin(sim_in.code, rate, framesize, modulation, mod_order, mapping);
rate = code_param.ldpc_data_bits_per_frame/code_param.ldpc_coded_bits_per_frame;
else
% deal with H stored in different file formats
tempStruct = load(sim_in.code);
b = fieldnames(tempStruct);
ldpcArrayName = b{1,1};
% extract the array from the struct
HRA = tempStruct.(ldpcArrayName);
[code_param framesize rate] = ldpc_init_user(HRA, modulation, mod_order, mapping);
end
% optional 1's stuffing
if isfield(sim_in, "data_bits_per_frame")
code_param.data_bits_per_frame = sim_in.data_bits_per_frame;
code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
rate = code_param.data_bits_per_frame/code_param.coded_bits_per_frame;
printf("data_bits_per_frame = %d\n", code_param.data_bits_per_frame);
printf("coded_bits_per_frame = %d\n", code_param.coded_bits_per_frame);
printf("coded_syms_per_frame = %d\n", code_param.coded_syms_per_frame);
printf("rate: %f\n",rate);
end
% ----------------------------------
% run simulation at each Eb/No point
% ----------------------------------
for ne = 1:length(EbNodBvec)
randn('seed',1);
rand('seed',1);
% Given Eb/No of payload data bits, work out Es/No we need to
% apply to each channel symbol:
%
% i) Each codeword bit gets noise: Eb/No - 3 (for a rate 1/2 code)
% ii) QPSK means two bits/symbol.: Es/No = Eb/No + 3
%
% -> which neatly cancel out ...... (at least for rate 1/2)
EsNodB = EbNodBvec(ne) + 10*log10(rate) + 10*log10(bps);
EsNo = 10^(EsNodB/10);
variance = 1/EsNo;
Tbits = Terrs = Ferrs = Terrs_raw = Tbits_raw = 0;
tx_bits = [];
tx_symbols = [];
% Encode a bunch of frames
for nn=1:Ntrials
atx_bits = round(rand( 1, code_param.data_bits_per_frame));
tx_bits = [tx_bits atx_bits];
[tx_codeword atx_symbols] = ldpc_enc(atx_bits, code_param);
tx_symbols = [tx_symbols atx_symbols];
end
rx_symbols = tx_symbols;
% Add AWGN noise, 0.5 factor splits power evenly between Re & Im
noise = sqrt(variance*0.5)*(randn(1,length(tx_symbols)) + j*randn(1,length(tx_symbols)));
rx_symbols += noise;
% Decode a bunch of frames
rx_bits_log = [];
for nn = 1: Ntrials
st = (nn-1)*code_param.coded_syms_per_frame + 1;
en = (nn)*code_param.coded_syms_per_frame;
% coded
arx_codeword = ldpc_dec(code_param, max_iterations, demod_type, decoder_type, rx_symbols(st:en), EsNo, ones(1,code_param.coded_syms_per_frame));
st = (nn-1)*code_param.data_bits_per_frame + 1;
en = (nn)*code_param.data_bits_per_frame;
error_positions = xor(arx_codeword(1:code_param.data_bits_per_frame), tx_bits(st:en));
Nerrs = sum(error_positions);
rx_bits_log = [rx_bits_log arx_codeword(1:code_param.data_bits_per_frame)];
% uncoded - to est raw BER compare data symbols as code is systematic
raw_rx_bits = [];
for s=1:code_param.coded_syms_per_frame*rate
sym_st = (nn-1)*code_param.coded_syms_per_frame + 1;
raw_rx_bits = [raw_rx_bits qpsk_demod(rx_symbols(sym_st+s-1))];
end
Nerrs_raw = sum(xor(raw_rx_bits, tx_bits(st:en)));
Nbits_raw = code_param.data_bits_per_frame;
if verbose == 2
% print "." if frame decoded without errors, 'x' if we can't decode
if Nerrs > 0, printf('x'), else printf('.'), end
end
if Nerrs > 0, Ferrs = Ferrs + 1; end
Terrs += Nerrs;
Tbits += code_param.ldpc_data_bits_per_frame;
Terrs_raw += Nerrs_raw;
Tbits_raw += Nbits_raw;
end
if verbose
printf("\nCoded EbNodB: % 5.2f BER: %4.3f Tbits: %6d Terrs: %6d FER: %4.3f Tframes: %d Ferrs: %d\n",
EbNodBvec(ne), Terrs/Tbits, Tbits, Terrs, Ferrs/Ntrials, Ntrials, Ferrs);
EbNodB_raw = EbNodBvec(ne) + 10*log10(rate);
printf("Raw EbNodB..: % 5.2f BER: %4.3f Tbits: %6d Terrs: %6d\n",
EbNodB_raw, Terrs_raw/Tbits_raw, Tbits_raw, Terrs_raw);
end
sim_out.rate = rate;
sim_out.BER(ne) = Terrs/Tbits;
sim_out.PER(ne) = Ferrs/Ntrials;
end
endfunction
% ---------------------------------------------------------------------------------
% 1/ Simplest possible one frame simulation
% ---------------------------------------------------------------------------------
function test1_single(code="wimax", data_bits_per_frame)
printf("\nTest 1:Single -----------------------------------\n");
mod_order = 4;
modulation = 'QPSK';
mapping = 'gray';
demod_type = 0;
decoder_type = 0;
max_iterations = 100;
% CML library has a bunch of different framesizes available
if strcmp(code,'wimax') framesize = 576*2; rate = 0.5; end
if strcmp(code,'dvbs2') framesize = 16200; rate = 0.6; end
code_param = ldpc_init_builtin(code, rate, framesize, modulation, mod_order, mapping);
% optional 1's stuffing
if nargin == 2
code_param.data_bits_per_frame = data_bits_per_frame;
code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
framesize = code_param.coded_bits_per_frame;
end
% find out what rate we actually obtained ...
rate = code_param.data_bits_per_frame/code_param.coded_bits_per_frame;
printf("Ndata_bits: %d Nparity_bits: %d Ncodeword_bits: %d rate: %3.2f\n",
code_param.data_bits_per_frame, code_param.ldpc_parity_bits_per_frame,
code_param.coded_bits_per_frame, rate);
% decoder needs an estimated channel EsNo (linear ratio, not dB)
EsNo = 10;
tx_bits = round(rand(1, code_param.data_bits_per_frame));
[tx_codeword, qpsk_symbols] = ldpc_enc(tx_bits, code_param);
rx_codeword = ldpc_dec(code_param, max_iterations, demod_type, decoder_type, qpsk_symbols, EsNo, ones(1,length(qpsk_symbols)));
errors_positions = xor(tx_bits, rx_codeword(1:framesize*rate));
Nerr = sum(errors_positions);
printf("Nerr: %d\n", Nerr);
endfunction
% ---------------------------------------------------------------------------------
% 2/ Run a bunch of trials at just one EsNo point
% ---------------------------------------------------------------------------------
function test2_multiple(code, Ntrials=100, data_bits_per_frame)
printf("\nTest 2: Multiple: %s ----------------------------\n", code);
% these are inputs for Wimax mode, e.g. framesize defines code used
sim_in.code = code;
sim_in.verbose = 2;
sim_in.Ntrials = Ntrials;
sim_in.EbNodBvec = 3;
if nargin == 3
sim_in.data_bits_per_frame = data_bits_per_frame;
end
run_simulation(sim_in);
end
% ---------------------------------------------------------------------------------
% 3/ Lets draw some Eb/No versus BER curves
% ---------------------------------------------------------------------------------
function test3_curves(code,fg=1,Ntrials=100)
printf("\nTest 3: Curves: %s -------------------------------------\n", code);
sim_in.code = code;
sim_in.verbose = 2;
sim_in.Ntrials = Ntrials;
sim_in.EbNodBvec = -2:10;
sim_out = run_simulation(sim_in);
EbNodB = sim_in.EbNodBvec;
uncoded_awgn_ber_theory = 0.5*erfc(sqrt(10.^(EbNodB/10)));
figure(fg); clf; title(code);
semilogy(EbNodB, uncoded_awgn_ber_theory,'r-+;AWGN;')
hold on;
semilogy(EbNodB, sim_out.BER+1E-10,'g-+;AWGN LDPC;');
hold off;
grid('minor')
xlabel('Eb/No (dB)')
ylabel('BER')
axis([min(EbNodB) max(EbNodB) 1E-3 1])
legend('boxoff');
end
% --------------------------------------------------------------------------------
% START SIMULATIONS
% --------------------------------------------------------------------------------
more off;
format;
% ---------------------------------------------------------------------------------
% Start CML library (see CML set up instructions in ldpc.m)
% ---------------------------------------------------------------------------------
init_cml();
% Ctest kicks off these tests using env variables
if getenv("CTEST_SINGLE")
test1_single
return;
end
if getenv("CTEST_ONE_STUFFING")
test2_multiple("wimax",10,576);
return;
end
% Uncomment and try some of these tests if you like ....
%test3_curves("H_1024_2048_4f.mat",1)
%test1_single("dvbs2")
%test3_curves("dvbs2",1,10)
%test2_multiple("wimax")
%test2_multiple("H2064_516_sparse.mat")
%test3_curves("wimax",1)
%test3_curves("H2064_516_sparse.mat",2)
%test3_curves("H_256_768_22.txt",2)
%test3_curves("H_4096_8192_3d.mat")
%test3_curves("H_212_158.mat")
third_party/codec2/octave/linreg.m
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% linreg.m
% David Rowe April 2015
%
% Based on:
% http://stackoverflow.com/questions/5083465/fast-efficient-least-squares-fit-algorithm-in-c
%
% finds y = mx + b to best fit n points x and y
function [m b] = linreg(x,y,n)
sumx = 0.0; % sum of x
sumx2 = 0.0; % sum of x^2
sumxy = 0.0; % sum of x * y
sumy = 0.0; % sum of y
sumy2 = 0.0; % sum of y**2
for i=1:n
sumx += x(i);
sumx2 += x(i)^2;
sumxy += x(i) * y(i);
sumy += y(i);
sumy2 += y(i)^2;
end
denom = (n * sumx2 - sumx*sumx);
if denom == 0
% singular matrix. can't solve the problem.
m = 0;
b = 0;
else
m = (n * sumxy - sumx * sumy) / denom;
b = (sumy * sumx2 - sumx * sumxy) / denom;
end
endfunction
third_party/codec2/octave/load_raw.m
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% load_raw.m
% David Rowe 7 Oct 2009
function s = load_raw(fn, len=Inf)
fs=fopen(fn,"rb");
s = fread(fs,len,"short");
fclose(fs);
endfunction
third_party/codec2/octave/mag_to_phase.m
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% mag_to_phase.m
%
% David Rowe Sep 2015
%
% Slightly modified version of http://www.dsprelated.com/showcode/20.php
%
% Given a magnitude spectrum in dB, returns a minimum-phase phase
% spectra. Both must be sampled at a Nfft. My understanding of this
% is rather dim, but a working example is good place to start!
function [phase s] = mag_to_phase(Gdbfk, Nfft = 512, verbose_en = 0)
Ns = length(Gdbfk); if Ns~=Nfft/2+1, error("confusion"); end
Sdb = [Gdbfk,Gdbfk(Ns-1:-1:2)]; % install negative-frequencies
S = 10 .^ (Sdb/20); % convert to linear magnitude
s = ifft(S); % desired impulse response
s = real(s); % any imaginary part is quantization noise
tlerr = 100*norm(s(round(0.9*Ns:1.1*Ns)))/norm(s);
if verbose_en
disp(sprintf([' Time-limitedness check: Outer 20%% of impulse ' ...
'response is %0.2f %% of total rms'],tlerr));
end
% = 0.02 percent
if verbose_en
if tlerr>1.0 % arbitrarily set 1% as the upper limit allowed
disp(' Increase Nfft and/or smooth Sdb\n');
end
end
c = ifft(Sdb); % compute real cepstrum from log magnitude spectrum
% Check aliasing of cepstrum (in theory there is always some):
caliaserr = 100*norm(c(round(Ns*0.9:Ns*1.1)))/norm(c);
if verbose_en
disp(sprintf([' Cepstral time-aliasing check: Outer 20%% of ' ...
'cepstrum holds %0.2f %% of total rms\n'],caliaserr));
end
if verbose_en
if caliaserr>1.0 % arbitrary limit
disp(' Increase Nfft and/or smooth Sdb to shorten cepstrum\n');
end
end
% Fold cepstrum to reflect non-min-phase zeros inside unit circle:
cf = [c(1), c(2:Ns-1)+c(Nfft:-1:Ns+1), c(Ns), zeros(1,Nfft-Ns)];
Cf = fft(cf); % = dB_magnitude + j * minimum_phase
% The maths says we are meant to be using log(x), not 20*log10(x),
% so we need to scale the phase to account for this:
% log(x) = 20*log10(x)/scale;
scale = (20/log(10));
phase = imag(Cf)/scale;
endfunction
third_party/codec2/octave/melvq.m
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% melvq.m
% David Rowe Aug 2015
%
% Experimenting with VQ design for mel LSPs, also handy VQ searching routines
1;
% train up multi-stage VQ
% ~/codec2-dev/build_linux/src$ sox -r 8000 -s -2 ../../wav/all.wav -t raw -r 8000 -s -2 - sinc 300 sinc -2600 | ./c2sim - --lpc 6 --lpcpf --lspmel --dump all -o - | play -t raw -r 8000 -s -2 - vol 3
%
% octave:> load ../build_linux/src/all_mel.txt
% octave:> melvq; vq = trainvq(all_mel, 64, 3);
% octave:> save vq
function vq = trainvq(training_data, Nvec, stages, city_en=0)
vq = [];
for i=1:stages
if city_en
[idx centers] = kmeans(training_data, Nvec, 'DISTANCE', 'cityblock');
else
[idx centers] = kmeans(training_data, Nvec);
end
quant_error = centers(idx,:) - training_data;
printf("mse stage %d: %f\n", i, mean(std(quant_error)));
training_data = quant_error;
vq(:,:,i) = centers;
end
end
function [mse_list index_list] = search_vq(vq, target, m)
[Nvec order] = size(vq);
mse = zeros(1, Nvec);
% find mse for each vector
for i=1:Nvec
mse(i) = sum((target - vq(i,:)) .^2);
end
% sort and keep top m matches
[mse_list index_list ] = sort(mse);
mse_list = mse_list(1:m);
index_list = index_list(1:m);
endfunction
% Search multi-stage VQ, retaining m best candidates at each stage
function [res output_vecs ind] = mbest(vqset, input_vecs, m)
[Nvec order stages] = size(vqset);
[Ninput tmp] = size(input_vecs);
res = []; % residual error after VQ
output_vecs = []; % quantised output vectors
ind = []; % index of vqs
for i=1:Ninput
% first stage, find mbest candidates
[mse_list index_list] = search_vq(vqset(:,:,1), input_vecs(i,:), m);
cand_list = [mse_list' index_list'];
cand_list = sortrows(cand_list,1);
% subsequent stages ...........
for s=2:stages
% compute m targets for next stage, and update path
prev_indexes = zeros(m,s-1);
for t=1:m
target(t,:) = input_vecs(i,:);
for v=1:s-1
target(t,:) -= vqset(cand_list(t,v+1),:,v);
end
prev_indexes(t,:) = cand_list(t,2:s);
end
% search stage s using m targets from stage s-1
% with m targets, we do m searches which return the m best possibilities
% so we get a matrix with one row per candidate, m*m rows total
% prev_indexes provides us with the path through the VQs for each candidate row
avq = vqset(:,:,s);
cand_list = [];
for t=1:m
[mse_list index_list] = search_vq(avq, target(t,:), m);
x = ones(m,1)*prev_indexes(t,:);
cand_row = [mse_list' x index_list'];
cand_list = [cand_list; cand_row];
end
% sort into m best rows
cand_list = sortrows(cand_list,1);
cand_list = cand_list(1:m,:);
end
% final residual
target(1,:) = input_vecs(i,:);
out = zeros(1,order);
for v=1:stages
target(1,:) -= vqset(cand_list(1,v+1),:,v);
out += vqset(cand_list(1,v+1),:,v);
end
res = [res; target(1,:)];
output_vecs = [output_vecs; out];
ind = [ind; cand_list(1,2:1+stages)];
end
endfunction
% Quantises a set of mel-lsps and saves back to disk so they can be read in by c2sim
% assumes we have a vq saved to disk called vq
%
% ~/codec2-dev/build_linux/src$ sox -r 8000 -s -2 ../../wav/vk5qi.wav -t raw -r 8000 -s -2 - sinc 300 sinc -2600 | ./c2sim - --lpc 6 --lpcpf --lspmel --dump vk5qi -o - | play -t raw -r 8000 -s -2 - vol 3
%
% octave:> test_run("vk5qi")
%
% ~/codec2-dev/build_linux/src$ sox -r 8000 -s -2 ../../wav/vk5qi.wav -t raw -r 8000 -s -2 - sinc 300 sinc -2600 | ./c2sim - --lpc 6 --lpcpf --phase0 --dec 4 --postfilter --lspmel --lspmelread ../../octave/vk5qi_mel_.out -o - | play -t raw -r 8000 -s -2 - vol 3
function ind = test_run(samplename)
more off;
input_vecs_name = sprintf("../build_linux/src/%s_mel.txt", samplename);
input_vecs_name
mel = load(input_vecs_name);
load vq;
[res mel_ ind] = mbest(vq, mel, 5);
mean(std(res))
output_vecs_name = sprintf("%s_mel_.out", samplename);
fmel_ = fopen(output_vecs_name,"wb");
[r c] = size(mel_);
for i=1:r
fwrite(fmel_, mel_(i,:), "float32");
end
fclose(fmel_);
end
%ind = test_run("hts1a");
%load "../build_linux/src/all_mel.txt"
%vq = trainvq(all_mel, 64, 3);
%save vq;
% [X] save text file of "vq quantised mels"
% [X] load back into c2sim at run time
% [X] train on continuous mels
% [X] sorting/stability
% [X] see how it sounds
% [X] Goal is to get VQ sounding OK, similar to UQ at 20 or 40ms dec,
% [X] sig better than current 700
% [X] check all indexes used with hist
third_party/codec2/octave/newamp_700c.m
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% newamp_700c.m
%
% Copyright David Rowe 2017
% This program is distributed under the terms of the GNU General Public License
% Version 2
%
% Library of Octave functions for rate K, mel spaced
% vector quantisation of spectral magnitudes used in Codec 2 700C mode.
1;
melvq; % mbest VQ functions
% --------------------------------------------------------------------------------
% Functions used by rate K mel work
% --------------------------------------------------------------------------------
% General 2nd order parabolic interpolator. Used splines originally,
% but this is much simpler and we don't need much accuracy. Given two
% vectors of points xp and yp, find interpolated values y at points x
function y = interp_para(xp, yp, x)
assert( (length(xp) >=3) && (length(yp) >= 3) );
y = zeros(1,length(x));
k = 1;
for i=1:length(x)
xi = x(i);
% k is index into xp of where we start 3 points used to form parabola
while ((xp(k+1) < xi) && (k < (length(xp)-2)))
k++;
end
x1 = xp(k); y1 = yp(k); x2 = xp(k+1); y2 = yp(k+1); x3 = xp(k+2); y3 = yp(k+2);
%printf("k: %d i: %d xi: %f x1: %f y1: %f\n", k, i, xi, x1, y1);
a = ((y3-y2)/(x3-x2)-(y2-y1)/(x2-x1))/(x3-x1);
b = ((y3-y2)/(x3-x2)*(x2-x1)+(y2-y1)/(x2-x1)*(x3-x2))/(x3-x1);
y(i) = a*(xi-x2)^2 + b*(xi-x2) + y2;
end
endfunction
% simple linear interpolator
function y = interp_linear(xp, yp, x)
assert( (length(xp) == 2) && (length(yp) == 2) );
m = (yp(2) - yp(1))/(xp(2) - xp(1));
c = yp(1) - m*xp(1);
y = zeros(1,length(x));
for i=1:length(x)
y(i) = m*x(i) + c;
end
endfunction
% quantise input sample to nearest value in table, optionally return binary code
function [quant_out best_i bits] = quantise(levels, quant_in)
% find closest quantiser level
best_se = 1E32;
for i=1:length(levels)
se = (levels(i) - quant_in)^2;
if se < best_se
quant_out = levels(i);
best_se = se;
best_i = i;
end
end
% convert index to binary bits
numbits = ceil(log2(length(levels)));
bits = zeros(1, numbits);
for b=1:numbits
bits(b) = bitand(best_i-1,2^(numbits-b)) != 0;
end
endfunction
% Quantisation functions for Wo in log freq domain
function index = encode_log_Wo(Wo, bits)
Wo_levels = 2.^bits;
Wo_min = 2*pi/160;
Wo_max = 2*pi/20;
norm = (log10(Wo) - log10(Wo_min))/(log10(Wo_max) - log10(Wo_min));
index = floor(Wo_levels * norm + 0.5);
index = max(index, 0);
index = min(index, Wo_levels-1);
endfunction
function Wo = decode_log_Wo(index, bits)
Wo_levels = 2.^bits;
Wo_min = 2*pi/160;
Wo_max = 2*pi/20;
step = (log10(Wo_max) - log10(Wo_min))/Wo_levels;
Wo = log10(Wo_min) + step*index;
Wo = 10 .^ Wo;
endfunction
% convert index to binary bits
function bits = index_to_bits(value, numbits)
levels = 2.^numbits;
bits = zeros(1, numbits);
for b=1:numbits
bits(b) = bitand(value,2^(numbits-b)) != 0;
end
end
function value = bits_to_index(bits, numbits)
value = 2.^(numbits-1:-1:0) * bits;
endfunction
% Determine a phase spectra from a magnitude spectra
% from http://www.dsprelated.com/showcode/20.php
% Haven't _quite_ figured out how this works but have to start somewhere ....
%
% TODO: we may be able to sample at a lower rate, like mWo
% but start with something that works
function [phase Gdbfk s Aw] = determine_phase(model, f, Nfft=512, ak)
Fs = 8000;
max_amp = 80;
L = min([model(f,2) max_amp-1]);
Wo = model(f,1);
sample_freqs_kHz = (Fs/1000)*[0:Nfft/2]/Nfft; % fft frequency grid (nonneg freqs)
Am = model(f,3:(L+2));
AmdB = 20*log10(Am);
rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
Gdbfk = interp_para(rate_L_sample_freqs_kHz, AmdB, sample_freqs_kHz);
% optional input of aks for testing
if nargin == 4
Aw = 1 ./ fft(ak,Nfft);
Gdbfk = 20*log10(abs(Aw(1:Nfft/2+1)));
end
[phase s] = mag_to_phase(Gdbfk, Nfft);
endfunction
% Non linear sampling of frequency axis, reducing the "rate" is a
% first step before VQ
function mel = ftomel(fHz)
mel = floor(2595*log10(1+fHz/700)+0.5);
endfunction
function rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K)
mel_start = ftomel(200); mel_end = ftomel(3700);
step = (mel_end-mel_start)/(K-1);
mel = mel_start:step:mel_end;
rate_K_sample_freqs_Hz = 700*((10 .^ (mel/2595)) - 1);
rate_K_sample_freqs_kHz = rate_K_sample_freqs_Hz/1000;
endfunction
function [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model, K)
rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K);
rate_K_surface = resample_const_rate_f(model, rate_K_sample_freqs_kHz);
endfunction
% Resample Am from time-varying rate L=floor(pi/Wo) to fixed rate K. This can be viewed
% as a 3D surface with time, freq, and ampitude axis.
function [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f(model, rate_K_sample_freqs_kHz)
% convert rate L=pi/Wo amplitude samples to fixed rate K
max_amp = 80;
[frames col] = size(model);
K = length(rate_K_sample_freqs_kHz);
rate_K_surface = zeros(frames, K);
for f=1:frames
Wo = model(f,1);
L = min([model(f,2) max_amp-1]);
Am = model(f,3:(L+2));
AmdB = 20*log10(Am);
%pre = 10*log10((1:L)*Wo*4/(pi*0.3));
%AmdB += pre;
% clip between peak and peak -50dB, to reduce dynamic range
AmdB_peak = max(AmdB);
AmdB(find(AmdB < (AmdB_peak-50))) = AmdB_peak-50;
rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
%rate_K_surface(f,:) = interp1(rate_L_sample_freqs_kHz, AmdB, rate_K_sample_freqs_kHz, "spline", "extrap");
rate_K_surface(f,:) = interp_para(rate_L_sample_freqs_kHz, AmdB, rate_K_sample_freqs_kHz);
%printf("\r%d/%d", f, frames);
end
%printf("\n");
endfunction
% Take a rate K surface and convert back to time varying rate L
function [model_ AmdB_] = resample_rate_L(model, rate_K_surface, rate_K_sample_freqs_kHz)
max_amp = 80;
[frames col] = size(model);
model_ = zeros(frames, max_amp+2);
for f=1:frames
Wo = model(f,1);
L = model(f,2);
rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
% back down to rate L
% AmdB_ = interp1(rate_K_sample_freqs_kHz, rate_K_surface(f,:), rate_L_sample_freqs_kHz, "spline", 0);
AmdB_ = interp_para([ 0 rate_K_sample_freqs_kHz 4], [0 rate_K_surface(f,:) 0], rate_L_sample_freqs_kHz);
model_(f,1) = Wo; model_(f,2) = L; model_(f,3:(L+2)) = 10 .^ (AmdB_(1:L)/20);
end
endfunction
% Post Filter, has a big impact on speech quality after VQ. When used
% on a mean removed rate K vector, it raises formants, and suppresses
% anti-formants. As it manipulates amplitudes, we normalise energy to
% prevent clipping or large level variations. pf_gain of 1.2 to 1.5
% (dB) seems to work OK. Good area for further investigations and
% improvements in speech quality.
function vec = post_filter(vec, sample_freq_kHz, pf_gain = 1.5, voicing)
% vec is rate K vector describing spectrum of current frame
% lets pre-emp before applying PF. 20dB/dec over 300Hz
pre = 20*log10(sample_freq_kHz/0.3);
vec += pre;
levels_before_linear = 10 .^ (vec/20);
e_before = sum(levels_before_linear .^2);
vec *= pf_gain;
levels_after_linear = 10 .^ (vec/20);
e_after = sum(levels_after_linear .^2);
gain = e_after/e_before;
gaindB = 10*log10(gain);
vec -= gaindB;
vec -= pre;
endfunction
% construct energy quantiser table, and save to text file to include in C
function energy_q = create_energy_q
energy_q = 10 + 40/16*(0:15);
endfunction
function save_energy_q(fn)
energy_q = create_energy_q;
f = fopen(fn, "wt");
fprintf(f, "1 %d\n", length(energy_q));
for n=1:length(energy_q)
fprintf(f, "%f\n", energy_q(n));
end
fclose(f);
endfunction
% save's VQ in format that can be compiled by Codec 2 build system
function save_vq(vqset, filenameprefix)
[Nvec order stages] = size(vqset);
for s=1:stages
fn = sprintf("%s_%d.txt", filenameprefix, s);
f = fopen(fn, "wt");
fprintf(f, "%d %d\n", order, Nvec);
for n=1:Nvec
for k=1:order
fprintf(f, "% 8.4f ", vqset(n,k,s));
end
fprintf(f, "\n");
end
fclose(f);
end
endfunction
% Decoder side interpolation of Wo and voicing, to go from 25 Hz
% sample rate used over channel to 100Hz internal sample rate of Codec
% 2.
function [Wo_ voicing_] = interp_Wo_v(Wo1, Wo2, voicing1, voicing2)
M = 4;
max_amp = 80;
Wo_ = zeros(1,M);
voicing_ = zeros(1,M);
if !voicing1 && !voicing2
Wo_(1:M) = 2*pi/100;
end
if voicing1 && !voicing2
Wo_(1:M/2) = Wo1;
Wo_(M/2+1:M) = 2*pi/100;
voicing_(1:M/2) = 1;
end
if !voicing1 && voicing2
Wo_(1:M/2) = 2*pi/100;
Wo_(M/2+1:M) = Wo2;
voicing_(M/2+1:M) = 1;
end
if voicing1 && voicing2
Wo_samples = [Wo1 Wo2];
Wo_(1:M) = interp_linear([1 M+1], Wo_samples, 1:M);
voicing_(1:M) = 1;
end
#{
printf("f: %d f+M/2: %d Wo: %f %f (%f %%) v: %d %d \n", f, f+M/2, model(f,1), model(f+M/2,1), 100*abs(model(f,1) - model(f+M/2,1))/model(f,1), voicing(f), voicing(f+M/2));
for i=f:f+M/2-1
printf(" f: %d v: %d v_: %d Wo: %f Wo_: %f\n", i, voicing(i), voicing_(i), model(i,1), model_(i,1));
end
#}
endfunction
% Equaliser in front of EQ, see vq_700c_eq.m for development version
function [rate_K_vec eq] = front_eq(rate_K_vec, eq)
[tmp K] = size(rate_K_vec);
ideal = [ 8 10 12 14 14*ones(1,K-1-4) -20];
gain = 0.02;
update = rate_K_vec - ideal;
eq = (1-gain)*eq + gain*update;
eq(find(eq < 0)) = 0;
endfunction
third_party/codec2/octave/ofdm_acquisition.m
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% ofdm_acquisition.m
% David Rowe Jan 2021
%
% Simulations used for development of HF data modem burst mode acquisition
%
% To run headless on a server:
%
% DISPLAY=\"\" octave-cli --no-gui -qf ofdm_acquisition.m > 210218.txt &
ofdm_lib;
channel_lib;
% Build a vector of Tx bursts in noise, one burst occurs every padded_burst_len samples
function [rx tx_preamble tx_postamble burst_len padded_burst_len ct_targets states] = generate_bursts(sim_in)
config = ofdm_init_mode(sim_in.mode);
states = ofdm_init(config);
ofdm_load_const;
tx_preamble = states.tx_preamble; tx_postamble = states.tx_postamble;
Nbursts = sim_in.Nbursts;
tx_bits = create_ldpc_test_frame(states, coded_frame=0);
tx_burst = [tx_preamble ofdm_mod(states, tx_bits) tx_postamble];
burst_len = length(tx_burst);
tx_burst = ofdm_hilbert_clipper(states, tx_burst, tx_clip_en=0);
padded_burst_len = Fs+burst_len+Fs;
tx = []; ct_targets = [];
for f=1:Nbursts
% 100ms of jitter in the burst start point
jitter = floor(rand(1,1)*0.1*Fs);
tx_burst_padded = [zeros(1,Fs+jitter) tx_burst zeros(1,Fs-jitter)];
ct_targets = [ct_targets Fs+jitter];
tx = [tx tx_burst_padded];
end
% adjust channel simulator SNR setpoint given (burst on length)/(sample length) ratio
mark_space_SNR_offset = 10*log10(burst_len/padded_burst_len);
SNRdB_setpoint = sim_in.SNR3kdB + mark_space_SNR_offset;
%printf("SNR3kdB: %f Burst offset: %f\n", sim_in.SNR3kdB, mark_space_SNR_offset)
rx = channel_simulate(Fs, SNRdB_setpoint, sim_in.foff_Hz, sim_in.channel, tx);
% optional BPF
if strcmp(sim_in.mode,"datac4") || strcmp(sim_in.mode,"datac13")
[rx delay_samples] = ofdm_complex_bandpass_filter(states, sim_in.mode, rx);
l = length(rx); rx = [rx(delay_samples:l) zeros(1,delay_samples)];
end
endfunction
function results = evaluate_candidate(states, det, i, Nsamperburstpadded, ct_target, foff_Hz, ttol_samples, ftol_hz)
results.candidate = 0;
if det.timing_mx > states.timing_mx_thresh
% OK we have located a candidate peak
% re-base ct_est to be wrt start of current burst reference frame
ct_est = det.ct_est - (i-1)*Nsamperburstpadded;
delta_ct = abs(ct_est-ct_target);
delta_foff = det.foff_est-foff_Hz;
ok = (abs(delta_ct) < ttol_samples) && (abs(delta_foff) < ftol_hz);
results.candidate = 1; results.ct_est = ct_est; results.delta_ct = delta_ct; results.delta_foff = delta_foff; results.ok = ok;
end
endfunction
% test frame by frame acquisition algorithm
function Pa = frame_by_frame_acquisition_test(mode="datac1", Ntests=10, channel="awgn", SNR3kdB=100, foff_Hz=0, verbose_top=0)
sim_in.SNR3kdB = SNR3kdB;
sim_in.channel = channel;
sim_in.foff_Hz = foff_Hz;
sim_in.mode = mode;
sim_in.Nbursts = Ntests;
[rx tx_preamble tx_postamble Nsamperburst Nsamperburstpadded ct_targets states] = generate_bursts(sim_in);
states.verbose = bitand(verbose_top,3);
ofdm_load_const;
timing_mx_log = []; ct_log = []; delta_ct_log = []; delta_foff_log = []; state_log = [];
% allowable tolerance for acquistion
ftol_hz = 2; % we can sync up on this (todo: make mode selectable)
ttol_samples = 0.006*Fs; % CP length (todo: make mode selectable)
target_acq = zeros(1,Ntests);
state = 'acquisition';
for n=1:Nsamperframe:length(rx)-2*Nsamperframe
pre = burst_acquisition_detector(states, rx, n, tx_preamble);
post = burst_acquisition_detector(states, rx, n, tx_postamble);
% adjust time reference for this simulation
pre.ct_est += n;
post.ct_est += n;
timing_mx_log = [timing_mx_log [pre.timing_mx; post.timing_mx]];
% state machine to simulate acquisition/demod processing
next_state = state;
if strcmp(state,'acquisition')
state_log = [state_log 0];
% work out what burst we are evaluating
i = ceil(n/Nsamperburstpadded); % i-th burst we are evaluating
w = (i-1)*Nsamperburstpadded; % offset of burst in s() for plotting purposes
ct_target_pre = ct_targets(i);
ct_target_post = ct_targets(i) + Nsamperburst - length(tx_preamble);
pre_eval = evaluate_candidate(states, pre, i, Nsamperburstpadded, ct_target_pre, foff_Hz, ttol_samples, ftol_hz);
post_eval = evaluate_candidate(states, post, i, Nsamperburstpadded, ct_target_post, foff_Hz, ttol_samples, ftol_hz);
if pre_eval.candidate
if pre_eval.ok == 0
target_acq(i) = -1; % flag bad candidate
end
if pre_eval.ok && (target_acq(i) == 0)
target_acq(i) = 1; % flag a successful acquisition
next_state = "demod";
modem_frame = 0;
end
delta_ct_log = [delta_ct_log pre_eval.delta_ct];
delta_foff_log = [delta_foff_log pre_eval.delta_foff];
ct_log = [ct_log w+pre_eval.ct_est];
if states.verbose
printf("Pre i: %2d n: %8d ct_est: %6d delta_ct: %6d foff_est: %5.1f timing_mx: %3.2f Acq: %2d\n",
i, n, pre_eval.ct_est, pre_eval.delta_ct, pre.foff_est, pre.timing_mx, target_acq(i));
end
end
if post_eval.candidate
if post_eval.ok == 0
target_acq(i) = -1; % flag bad candidate
end
if post_eval.ok && (target_acq(i) == 0)
target_acq(i) = 1; % flag a successful acquisition
next_state = "demod";
modem_frame = Np-2;
end
delta_ct_log = [delta_ct_log post_eval.delta_ct];
delta_foff_log = [delta_foff_log post_eval.delta_foff];
ct_log = [ct_log w+post_eval.ct_est];
if states.verbose
printf("Post i: %2d n: %8d ct_est: %6d delta_ct: %6d foff_est: %5.1f timing_mx: %3.2f Acq: %2d\n",
i, n, post_eval.ct_est, post_eval.delta_ct, post.foff_est, post.timing_mx, target_acq(i));
end
end
end
if strcmp(state, "demod")
state_log = [state_log 1];
modem_frame++;
if modem_frame > states.Np
next_state = "acquisition";
end
end
state = next_state;
end
if bitand(verbose_top,8)
figure(1); clf;
plot(timing_mx_log(1,:),'+-;preamble;');
hold on;
plot(timing_mx_log(2,:),'o-;postamble;');
plot(0.45+0.1*state_log,'-g;state;');
title('mx log'); axis([0 length(timing_mx_log) 0 1.0]); grid;
hold off;
figure(4); clf; plot(real(rx)); axis([0 length(rx) -3E4 3E4]);
hold on;
plot(ct_log,zeros(1,length(ct_log)),'r+','markersize', 25, 'linewidth', 2);
hold off;
figure(5); clf; plot_specgram(rx, Fs, 500, 2500);
all_mx = [ timing_mx_log(1,:) timing_mx_log(2,:)];
figure(6); clf; [nn xx] = hist(all_mx); semilogy(xx,nn+1); grid;
figure(7); clf; cdf = empirical_cdf(0:0.1:1,all_mx); plot(0:0.1:1, cdf); grid;
end
Pacq = length(find(target_acq == 1))/Ntests;
Pfalse_acq = length(find(target_acq == -1))/Ntests;
printf("%s %s SNR: %3.1f foff: %3.1f P(acq) = %3.2f P(false_acq) = %3.2f\n", mode, channel, SNR3kdB, foff_Hz,
Pacq, Pfalse_acq);
endfunction
% test frame by frame across modes, channels, and SNR (don't worry about sweeping freq)
function acquistion_curves_frame_by_frame_modes_channels_snr(Ntests=5, quick_test=0)
modes={'datac0', 'datac1', 'datac3'};
if quick_test
Ntests = 5;
channels={'awgn','mpp'}; SNR = [0 5];
else
channels={'awgn', 'mpm', 'mpp', 'notch'};
SNR = [ -10 -5 -3.5 -1.5 0 1.5 3.5 5 7.5 10 15];
end
cc = ['b' 'g' 'k' 'c' 'm' 'r'];
pt = ['+' '*' 'x' 'o' '+' '*'];
for i=1:length(modes)
figure(i); clf; hold on; title(sprintf("%s P(acquisition)", modes{i}));
end
for m=1:length(modes)
figure(m);
for c=1:length(channels)
Pa_log = [];
for s=1:length(SNR)
Pa = frame_by_frame_acquisition_test(modes{m}, Ntests, channels{c}, SNR(s), foff_hz=0, verbose=1);
Pa_log = [Pa_log Pa];
end
l = sprintf('%c%c-;%s;', cc(c), pt(c), channels{c});
plot(SNR, Pa_log, l, 'markersize', 10);
end
end
for i=1:length(modes)
figure(i); grid;
xlabel('SNR3k dB'); legend('location', 'southeast');
xlim([min(SNR)-2 max(SNR)+2]); ylim([0 1.1]);
print('-dpng', sprintf("%s_ofdm_dev_acq_curves_fbf_%s.png", datestr(clock(),"yyyy-mm-dd"), modes{i}));
end
endfunction
% main starts here -----------------------------------------
format;
more off;
pkg load signal;
graphics_toolkit ("gnuplot");
randn('seed',1);
% ---------------------------------------------------------
% choose simulation to run here
% ---------------------------------------------------------
if exist("ctest","var")
% simple tests to run as part of ctests
frame_by_frame_acquisition_test("datac0", Ntests=5, 'mpp', SNR3kdB=5, foff_hz=0, verbose=1+8);
else
% other development work here
frame_by_frame_acquisition_test("datac13", Ntests=100, 'mpp', SNR3kdB=-4, foff_hz=0, verbose=1+8);
%acquistion_curves_frame_by_frame_modes_channels_snr(Ntests=50, quick_test=0)
end
third_party/codec2/octave/ofdm_demod_c.m
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% ofdm_demod_c.m
% David Rowe April 2018
%
% Plots data from The C OFDM demodulator ofdm_demod, in similar format to
% plots from Octave OFDM demodulator ofdm_rx.m
%
% Useful for of line analysis of a demod run
function ofdm_demod_c(filename, mode="700D")
ofdm_lib;
more off;
% init modem
config = ofdm_init_mode(mode);
states = ofdm_init(config);
ofdm_load_const;
states.verbose = 0;
load(filename);
figure(1); clf;
plot(rx_np_log_c,'+');
mx = 2*max(abs(rx_np_log_c));
axis([-mx mx -mx mx]);
title('Scatter');
figure(2); clf;
plot(phase_est_pilot_log_c(:,2:Nc),'g+', 'markersize', 5);
title('Phase Est');
axis([1 length(phase_est_pilot_log_c) -pi pi]);
figure(3); clf;
stem(timing_est_log_c)
title('Timing Est');
figure(4); clf;
plot(foff_hz_log_c)
mx = max(abs(foff_hz_log_c))+1;
axis([1 max(length(foff_hz_log_c),2) -mx mx]);
title('Fine Freq');
ylabel('Hz')
endfunction
third_party/codec2/octave/ofdm_helper.m
Vendored
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% ofdm_helper.m
%
% Misc functions that are used to support OFDM modem development, that
% aren't required for modem operation
1;
%------------------------------------------------------------------------------
% print_config - utility function to use ascii-art to describe the modem frame
%------------------------------------------------------------------------------
function print_config(states)
ofdm_load_const;
% ASCII-art packet visualisation
s=1; u=1; Nuwsyms=length(uw_ind_sym);
cr = 1:Nc+2;
for f=1:Np
for r=1:Ns
for c=cr
if r == 1
if (c==1) && states.edge_pilots
sym="P";
elseif (c==Nc+1) && states.edge_pilots
sym="P";
elseif c>1 && c <=(Nc+1)
sym="P";
else
sym=" ";
end
elseif c>1 && c <=(Nc+1)
sym=".";
if (u <= Nuwsyms) && (s == uw_ind_sym(u)) sym="U"; u++; end
s++;
else
sym=" ";
end
printf("%s",sym);
end
printf("\n");
end
end
printf("Nc=%d Ts=%4.3f Tcp=%4.3f Ns: %d Np: %d\n", Nc, 1/Rs, Tcp, Ns, Np);
printf("Nsymperframe: %d Nbitsperpacket: %d Nsamperframe: %d Ntxtbits: %d Nuwbits: %d Nuwframes: %d\n",
Ns*Nc, Nbitsperpacket, Nsamperframe, Ntxtbits, Nuwbits, Nuwframes);
printf("uncoded bits/s: %4.1f Duration (incl post/preamble): %4.2f s\n",
Nbitsperpacket*Fs/(Np*Nsamperframe), (Np+2)*Ns*(Tcp+1/Rs));
end
%-----------------------------------------------------------------------
% create_ldpc_test_frame - generate a test frame of bits
%-----------------------------------------------------------------------
function [tx_bits payload_data_bits codeword] = create_ldpc_test_frame(states, coded_frame=1)
ofdm_load_const;
ldpc;
gp_interleaver;
if coded_frame
% Set up LDPC code
mod_order = 4; bps = 2; modulation = 'QPSK'; mapping = 'gray';
init_cml(); % TODO: make this path sensible and portable
load HRA_112_112.txt
[code_param framesize rate] = ldpc_init_user(HRA_112_112, modulation, mod_order, mapping);
assert(Nbitsperframe == (code_param.coded_bits_per_frame + Nuwbits + Ntxtbits));
payload_data_bits = round(ofdm_rand(code_param.data_bits_per_frame)/32767);
codeword = LdpcEncode(payload_data_bits, code_param.H_rows, code_param.P_matrix);
Nsymbolsperframe = length(codeword)/bps;
% need all these steps to get actual raw codeword bits at demod ..
tx_symbols = [];
for s=1:Nsymbolsperframe
tx_symbols = [tx_symbols qpsk_mod( codeword(2*(s-1)+1:2*s) )];
end
tx_symbols = gp_interleave(tx_symbols);
codeword_raw = [];
for s=1:Nsymbolsperframe
codeword_raw = [codeword_raw qpsk_demod(tx_symbols(s))];
end
else
codeword_raw = round(ofdm_rand(Nbitsperpacket-(Nuwbits+Ntxtbits))/32767);
end
% insert UW and txt bits
tx_bits = assemble_modem_packet(states, codeword_raw, zeros(1,Ntxtbits));
assert(Nbitsperpacket == length(tx_bits));
endfunction
% automated test
function test_assemble_disassemble(states)
ofdm_load_const;
Nsymsperpacket = Nbitsperpacket/bps;
Ndatabitsperpacket = Nbitsperpacket-(Nuwbits+Ntxtbits);
Ndatasymsperpacket = Ndatabitsperpacket/bps;
codeword_bits = round(ofdm_rand(Ndatabitsperpacket)/32767);
tx_bits = assemble_modem_packet(states, codeword_bits, zeros(1,Ntxtbits));
tx_syms = zeros(1,Nsymsperpacket);
for s=1:Nsymsperpacket
if bps == 2
tx_syms(s) = qpsk_mod(tx_bits(bps*(s-1)+1:bps*s));
elseif bps == 4
tx_syms(s) = qam16_mod(states.qam16,tx_bits(bps*(s-1)+1:bps*s));
end
end
codeword_syms = zeros(1,Ndatasymsperpacket);
for s=1:Ndatasymsperpacket
if bps == 2
codeword_syms(s) = qpsk_mod(codeword_bits(bps*(s-1)+1:bps*s));
elseif bps == 4
codeword_syms(s) = qam16_mod(states.qam16,codeword_bits(bps*(s-1)+1:bps*s));
end
end
[rx_uw rx_codeword_syms payload_amps txt_bits] = disassemble_modem_packet(states, tx_syms, ones(1,Nsymsperpacket));
assert(rx_uw == states.tx_uw);
Ndatasymsperframe = (Nbitsperpacket-(Nuwbits+Ntxtbits))/bps;
assert(codeword_syms == rx_codeword_syms);
endfunction
% test function, kind of like a CRC for QPSK symbols, to compare two vectors
function acc = test_acc(v)
sre = 0; sim = 0;
for i=1:length(v)
x = v(i);
re = round(real(x)); im = round(imag(x));
sre += re; sim += im;
%printf("%d %10f %10f %10f %10f\n", i, re, im, sre, sim);
end
acc = sre + j*sim;
end
% Save test bits frame to a text file in the form of a C array
%
% usage:
% ofdm_lib; test_bits_ofdm_file
%
function test_bits_ofdm_file
Ts = 0.018; Tcp = 0.002; Rs = 1/Ts; bps = 2; Nc = 17; Ns = 8;
states = ofdm_init(bps, Rs, Tcp, Ns, Nc);
[test_bits_ofdm payload_data_bits codeword] = create_ldpc_test_frame(states);
printf("%d test bits\n", length(test_bits_ofdm));
f=fopen("../src/test_bits_ofdm.h","wt");
fprintf(f,"/* Generated by test_bits_ofdm_file() Octave function */\n\n");
fprintf(f,"const int test_bits_ofdm[]={\n");
for m=1:length(test_bits_ofdm)-1
fprintf(f," %d,\n",test_bits_ofdm(m));
endfor
fprintf(f," %d\n};\n",test_bits_ofdm(end));
fprintf(f,"\nconst int payload_data_bits[]={\n");
for m=1:length(payload_data_bits)-1
fprintf(f," %d,\n",payload_data_bits(m));
endfor
fprintf(f," %d\n};\n",payload_data_bits(end));
fprintf(f,"\nconst int test_codeword[]={\n");
for m=1:length(codeword)-1
fprintf(f," %d,\n",codeword(m));
endfor
fprintf(f," %d\n};\n",codeword(end));
fclose(f);
endfunction
% Get rid of nasty unfiltered stuff either side of OFDM signal
% This may need to be tweaked, or better yet made a function of Nc, if Nc changes
%
% usage:
% ofdm_lib; make_ofdm_bpf(1);
function bpf_coeff = make_ofdm_bpf(write_c_header_file)
filt_n = 100;
Fs = 8000;
bpf_coeff = fir2(filt_n,[0 900 1000 2000 2100 4000]/(Fs/2),[0.001 0.001 1 1 0.001 0.001]);
if write_c_header_file
figure(1)
clf;
h = freqz(bpf_coeff,1,Fs/2);
plot(20*log10(abs(h)))
grid minor
% save coeffs to a C header file
f=fopen("../src/ofdm_bpf_coeff.h","wt");
fprintf(f,"/* 1000 - 2000 Hz FIR filter coeffs */\n");
fprintf(f,"/* Generated by make_ofdm_bpf() in ofdm_lib.m */\n");
fprintf(f,"\n#define OFDM_BPF_N %d\n\n", filt_n);
fprintf(f,"float ofdm_bpf_coeff[]={\n");
for r=1:filt_n
if r < filt_n
fprintf(f, " %f,\n", bpf_coeff(r));
else
fprintf(f, " %f\n};", bpf_coeff(r));
end
end
fclose(f);
end
endfunction
% Helper function to help design UW error thresholds, in particular for raw
% data modes. See also https://www.rowetel.com/wordpress/?p=7467
function ofdm_determine_bad_uw_errors(Nuw)
figure(1); clf;
% Ideally the 10% and 50% BER curves are a long way apart
plot(0:Nuw, binocdf(0:Nuw,Nuw,0.1),';BER=0.1;'); hold on;
plot(binocdf(0:Nuw,Nuw,0.5),';BER=0.5;');
% Suggested threshold for raw data modes is the 5% probability
% level for the 50% BER curve. The pre/post-amble has a low chance
% of failure. If it does make an error, then we will have random
% bits presented as the UW (50% BER in UW). This threshold means
% there is only a 5% case of random bits being accepted as a valid UW
bad_uw_errors = max(find(binocdf(0:Nuw,Nuw,0.5) <= 0.05))+1;
plot([bad_uw_errors bad_uw_errors],[0 1],';bad uw errors;'); hold off; grid
xlabel('bits');
printf("for Nuw = %d, suggest bad_uw_errors = %d\n", Nuw, bad_uw_errors);
end
% Returns level threshold such that threshold_cdf of the tx magnitudes are
% beneath that level. Helper function that can be used to design
% the clipper level. See also https://www.rowetel.com/?p=7596
function threshold_level = ofdm_determine_clip_threshold(tx, threshold_cdf)
Nsteps = 25;
mx = max(abs(tx));
cdf = empirical_cdf(mx*(1:Nsteps)/Nsteps,abs(tx));
threshold_level = find(cdf >= threshold_cdf)(1)*mx/25;
printf("threshold_cdf: %f threshold_level: %f\n", threshold_cdf, threshold_level);
figure(1); clf; [hh nn] = hist(abs(tx),Nsteps,1);
plotyy(nn,hh,mx*(1:Nsteps)/Nsteps,cdf); title('PDF and CDF Estimates'); grid;
end
% helper function that adds channel simulation and ensures we don't saturate int16 output samples
function [rx_real rx] = ofdm_channel(states, tx, SNR3kdB, channel, freq_offset_Hz)
[rx_real rx sigma] = channel_simulate(states.Fs, SNR3kdB, freq_offset_Hz, channel, tx, states.verbose);
% multipath models can lead to clipping of int16 samples
num_clipped = length(find(abs(rx_real>32767)));
while num_clipped/length(rx_real) > 0.001
rx_real /= 2;
num_clipped = length(find(abs(rx_real>32767)));
printf("WARNING: output samples clipped, reducing level\n")
end
endfunction
third_party/codec2/octave/ofdm_ldpc_rx.m
Vendored
+279
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% ofdm_ldpc_rx.m
% David Rowe April 2017
%
% OFDM file based rx, with LDPC and interleaver, Octave version of src/ofdm_demod.c
#{
1. Streaming mode operation:
ofdm_ldpc_rx("test_700d.raw","700D")
2. Burst mode, tell state machine there is one packet in each burst:
ofdm_ldpc_rx("test_datac0.raw","datac0","packetsperburst",1)
#}
function ofdm_ldpc_rx(filename, mode="700D", varargin)
ofdm_lib;
ldpc;
gp_interleaver;
more off;
pkg load signal;
% init modem
config = ofdm_init_mode(mode);
states = ofdm_init(config);
ofdm_load_const;
states.verbose = 1;
pass_packet_count = 0;
i=1;
while i <= length(varargin)
if strcmp(varargin{i},"packetsperburst")
states.data_mode = "burst"; % use pre/post amble based sync
states.packetsperburst = varargin{i+1}; i++;
states.postambledetectoren = 1;
elseif strcmp(varargin{i},"passpacketcount")
pass_packet_count = varargin{i+1}; i++;
else
printf("\nERROR unknown argument: [%d] %s \n", i ,varargin{i});
return;
end
i++;
end
% some constants used for assembling modem frames
[code_param Nbitspercodecframe Ncodecframespermodemframe] = codec_to_frame_packing(states, mode);
% load real samples from file
Ascale= states.amp_scale/2.0; % /2 as real signal has half amplitude
frx=fopen(filename,"rb"); rx = fread(frx, Inf, "short")/Ascale; fclose(frx);
Nsam = length(rx);
prx = 1;
% Generate tx frame for BER calcs
payload_bits = round(ofdm_rand(code_param.data_bits_per_frame)/32767);
tx_bits = fec_encode(states, code_param, mode, payload_bits);
% Some handy constants
Nsymsperframe = Nbitsperframe/bps;
Nsymsperpacket = Nbitsperpacket/bps;
Ncodedbitsperpacket = code_param.coded_bits_per_frame;
Ncodedsymsperpacket = code_param.coded_syms_per_frame;
% init logs and BER stats
rx_bits = []; rx_np_log = []; timing_est_log = []; delta_t_log = []; foff_est_hz_log = [];
channel_est_pilot_log = []; snr_log = []; mean_amp_log = [];
Terrs = Tbits = Terrs_coded = Tbits_coded = Perrs_coded = 0;
Nerrs_coded_log = Nerrs_log = [];
error_positions = [];
Nerrs_coded = Nerrs_raw = 0;
paritychecks = [0];
EsNo = 1;
rx_uw = zeros(1,states.Nuwbits);
rx_syms = zeros(1,Nsymsperpacket); rx_amps = zeros(1,Nsymsperpacket);
packet_count = frame_count = 0;
% main loop ----------------------------------------------------------------
rx = ofdm_rx_filter(states, mode, rx);
f = 1;
while(prx < Nsam)
% insert samples at end of buffer, set to zero if no samples
% available to disable phase estimation on future pilots on last
% frame of simulation
lnew = min(Nsam-prx,states.nin);
rxbuf_in = zeros(1,states.nin);
if lnew
rxbuf_in(1:lnew) = rx(prx:prx+lnew-1);
end
prx += states.nin;
if states.verbose
printf("f: %3d nin: %4d st: %-6s ", f, states.nin, states.sync_state);
end
if strcmp(states.sync_state,'search')
[timing_valid states] = ofdm_sync_search(states, rxbuf_in);
else
% accumulate a buffer of data symbols for this packet
rx_syms(1:end-Nsymsperframe) = rx_syms(Nsymsperframe+1:end);
rx_amps(1:end-Nsymsperframe) = rx_amps(Nsymsperframe+1:end);
[states rx_bits achannel_est_pilot_log arx_np arx_amp] = ofdm_demod(states, rxbuf_in);
rx_syms(end-Nsymsperframe+1:end) = arx_np;
rx_amps(end-Nsymsperframe+1:end) = arx_amp;
rx_uw = extract_uw(states, rx_syms(end-Nuwframes*Nsymsperframe+1:end), rx_amps(end-Nuwframes*Nsymsperframe+1:end));
% We need the full packet of symbols before disassembling and checking for bit errors
if (states.modem_frame == (states.Np-1))
packet_count++;
% unpack, de-interleave PSK symbols and symbol amplitudes
[rx_uw_unused payload_syms payload_amps txt_bits] = disassemble_modem_packet(states, rx_syms, rx_amps);
payload_syms_de = gp_deinterleave(payload_syms);
payload_amps_de = gp_deinterleave(payload_amps);
% Count uncoded (raw) errors
rx_bits = zeros(1,Ncodedbitsperpacket);
for s=1:Ncodedsymsperpacket
if bps == 2 rx_bits(2*s-1:2*s) = qpsk_demod(payload_syms_de(s)); end
if bps == 4 rx_bits(bps*(s-1)+1:bps*s) = qam16_demod(states.qam16,payload_syms_de(s), payload_amps_de(s)); end
end
errors = xor(tx_bits, rx_bits);
Nerrs = sum(errors);
Nerrs_log = [Nerrs_log Nerrs]; Nerrs_raw = Nerrs;
Terrs += Nerrs;
Tbits += Nbitsperpacket;
% LDPC decode
% keep earlier mean amplitude estimator for compatibility with 700D
if states.amp_est_mode == 0
mean_amp = states.mean_amp;
else
mean_amp = mean(payload_amps_de)+1E-12;
end
mean_amp_log = [mean_amp_log mean_amp];
% used fixed EsNo est, as EsNo estimator for QAM not working very well at this stage
EsNo = 10^(states.EsNodB/10);
% TODO 2020 support for padding with known data bits
[rx_bits paritychecks] = fec_decode(states, code_param, payload_syms_de,...
payload_amps_de, mean_amp, EsNo);
errors = xor(payload_bits, rx_bits);
Nerrs_coded = sum(errors);
if Nerrs_coded Perrs_coded++; end
Terrs_coded += Nerrs_coded;
Tbits_coded += code_param.data_bits_per_frame;
Nerrs_coded_log = [Nerrs_coded_log Nerrs_coded];
% per-packet SNR estimate
EsNo_estdB = esno_est_calc(rx_syms);
SNR_estdB = snr_from_esno(states, EsNo_estdB);
snr_log = [snr_log SNR_estdB];
end
% we are in sync so log modem states
rx_np_log = [rx_np_log arx_np];
timing_est_log = [timing_est_log states.timing_est];
delta_t_log = [delta_t_log states.delta_t];
foff_est_hz_log = [foff_est_hz_log states.foff_est_hz];
channel_est_pilot_log = [channel_est_pilot_log; achannel_est_pilot_log];
frame_count++;
end
states = sync_state_machine(states, rx_uw);
if states.verbose
if strcmp(states.last_sync_state,'search') == 0
pcc = max(paritychecks);
iter = 0;
for i=1:length(paritychecks)
if paritychecks(i) iter=i; end
end
% complete logging line
if (states.modem_frame == 0) && (strcmp(states.last_sync_state, "trial") == 0)
printf("euw: %3d %d mf: %2d pbw: %s foff: %4.1f eraw: %3d ecod: %3d iter: %3d pcc: %3d snr: %5.2f",
states.uw_errors, states.sync_counter, states.modem_frame, states.phase_est_bandwidth(1), states.foff_est_hz,
Nerrs_raw, Nerrs_coded, iter, pcc, SNR_estdB);
else
printf("euw: %3d %d mf: %2d pbw: %s foff: %4.1f",
states.uw_errors, states.sync_counter, states.modem_frame, states.phase_est_bandwidth(1), states.foff_est_hz);
end
end
printf("\n");
end
% reset stats if in streaming mode, don't reset if in burst mode
if strcmp(states.data_mode, "streaming") && states.sync_start
Nerrs_raw = Nerrs_coded = 0;
Nerrs_log = [];
Terrs = Tbits = 0;
Tpacketerrs = Tpackets = 0;
Terrs_coded = Tbits_coded = 0;
error_positions = Nerrs_coded_log = [];
end
f++;
end
Nframes = f;
printf("Raw BER..: %5.4f Tbits: %5d Terrs: %5d SNR3k: %5.2f\n", Terrs/(Tbits+1E-12), Tbits, Terrs, mean(snr_log));
printf("Coded BER: %5.4f Tbits: %5d Terrs: %5d\n", Terrs_coded/(Tbits_coded+1E-12), Tbits_coded, Terrs_coded);
printf("Coded PER: %5.4f Pckts: %5d Perrs: %5d Npre: %d Npost: %d\n",
Perrs_coded/(packet_count+1E-12), packet_count, Perrs_coded, states.npre, states.npost);
if length(rx_np_log)
figure(1); clf;
plot(exp(j*pi/4)*rx_np_log(floor(end/4):floor(end-end/8)),'+');
mx = 2*mean(abs(channel_est_pilot_log(:)));
axis([-mx mx -mx mx]);
title('Scatter');
figure(2); clf;
plot(angle(channel_est_pilot_log),'g+', 'markersize', 5);
title('Phase est');
axis([1 length(channel_est_pilot_log) -pi pi]);
figure(3); clf;
amp_est = abs(channel_est_pilot_log);
plot(amp_est,'g+', 'markersize', 5);
title('Amp est');
axis([1 length(channel_est_pilot_log) min(amp_est(:)) max(amp_est(:))]);
figure(4); clf;
subplot(211); plot(snr_log); ylabel('SNR3kdB');
subplot(212); plot(mean_amp_log); ylabel('mean amp');
figure(5); clf;
subplot(211)
stem(delta_t_log)
title('delta t');
subplot(212)
plot(timing_est_log);
title('timing est');
figure(6); clf;
plot(foff_est_hz_log)
mx = max(max(abs(foff_est_hz_log)),1);
axis([1 max(Nframes,2) -mx mx]);
title('Fine Freq');
ylabel('Hz')
end
if length(Nerrs_log) > 1
figure(7); clf;
subplot(211)
stem(Nerrs_log);
title('Uncoded errors/modem frame')
axis([1 length(Nerrs_log) 0 Nbitsperpacket*0.2]);
if length(Nerrs_coded_log)
subplot(212)
stem(Nerrs_coded_log);
title('Coded errors/mode frame')
axis([1 length(Nerrs_coded_log) 0 Nbitsperpacket*0.2]);
end
end
figure(9); clf; plot_specgram(rx, Fs=8000, 0, 3000);
if pass_packet_count > 0
if packet_count >= pass_packet_count printf("Pass!\n"); else printf("Fail!\n"); end;
end
endfunction
third_party/codec2/octave/ofdm_ldpc_tx.m
Vendored
+144
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% ofdm_ldpc_tx.m
% David Rowe April 2017
%
% File based ofdm tx with LDPC encoding and interleaver. Generates a
% file of ofdm samples, including optional channel simulation.
#{
1. 10 seconds, AWGN channel at SNR3k=3dB
octave:4> ofdm_ldpc_tx("test_700d.raw", "700D", 10, 3)
2. 10 seconds, multipath poor channel at SNR=6dB
octave:5> ofdm_ldpc_tx("test_700d.raw", "700D", 10, 6, "mpp")
3. Data mode example, three bursts of one packet each, SNR=100dB:
octave:6> ofdm_ldpc_tx("test_datac0.raw","datac0",1,100,"awgn","bursts",3)
4. Data mode example, three bursts of one packet each, SNR=100dB, with CRC
to enable demodulation by freedv_data_raw_rx:
octave:6> ofdm_ldpc_tx("test_datac0.raw","datac0",1,100,"awgn","bursts",3, "crc")
#}
function ofdm_ldpc_tx(filename, mode="700D", N, SNR3kdB=100, channel='awgn', varargin)
ofdm_lib;
ldpc;
gp_interleaver;
channel_lib;
pkg load signal;
randn('seed',1);
more off;
tx_clip_en = 0; freq_offset_Hz = 0.0; burst_mode = 0; Nbursts = 1;
crc_mode = 0;
i = 1;
while i<=length(varargin)
if strcmp(varargin{i},"txclip")
tx_clip_en = 1;
elseif strcmp(varargin{i},"bursts")
burst_mode = 1;
Nbursts = varargin{i+1}; i++;
elseif strcmp(varargin{i},"crc")
crc_mode = 1;
else
printf("\nERROR unknown argument: %s\n", varargin{i});
return;
end
i++;
end
% init modem
config = ofdm_init_mode(mode);
states = ofdm_init(config);
print_config(states);
ofdm_load_const;
if burst_mode
% burst mode: treat N as Npackets
Npackets = N;
else
% streaming mode: treat N as Nseconds
Npackets = round(N/states.Tpacket);
end
% some constants used for assembling modem frames
[code_param Nbitspercodecframe Ncodecframespermodemframe] = codec_to_frame_packing(states, mode);
% OK generate a modem frame using random payload bits
if strcmp(mode, "2020")
payload_bits = round(ofdm_rand(Ncodecframespermodemframe*Nbitspercodecframe)/32767);
else
payload_bits = round(ofdm_rand(code_param.data_bits_per_frame)/32767);
if crc_mode
unpacked_crc16 = crc16_unpacked(payload_bits(1:end-16));
payload_bits(end-15:end) = unpacked_crc16;
end
end
[packet_bits bits_per_packet] = fec_encode(states, code_param, mode, payload_bits);
% modulate to create symbols and interleave
tx_symbols = [];
for b=1:bps:bits_per_packet
if bps == 2 tx_symbols = [tx_symbols qpsk_mod(packet_bits(b:b+bps-1))]; end
if bps == 4 tx_symbols = [tx_symbols qam16_mod(states.qam16, packet_bits(b:b+bps-1))]; end
end
assert(gp_deinterleave(gp_interleave(tx_symbols)) == tx_symbols);
tx_symbols = gp_interleave(tx_symbols);
% generate txt (non FEC protected) symbols
txt_bits = zeros(1,Ntxtbits);
txt_symbols = [];
for b=1:bps:length(txt_bits)
if bps == 2 txt_symbols = [txt_symbols qpsk_mod(txt_bits(b:b+bps-1))]; end
if bps == 4 txt_symbols = [txt_symbols qam16_mod(states.qam16,txt_bits(b:b+bps-1))]; end
end
% assemble interleaved modem packet that include UW and txt symbols
modem_packet = assemble_modem_packet_symbols(states, tx_symbols, txt_symbols);
% sanity check
[rx_uw rx_codeword_syms payload_amps txt_bits] = disassemble_modem_packet(states, modem_packet, ones(1,length(modem_packet)));
assert(rx_uw == states.tx_uw);
% create a burst of concatenated packets
atx = ofdm_txframe(states, modem_packet); tx = [];
for f=1:Npackets
tx = [tx atx];
end
if length(states.data_mode)
% note for burst mode postamble provides a "column" of pilots at the end of the burst
tx = [states.tx_preamble tx states.tx_postamble];
end
% if burst mode concatenate multiple bursts with spaces
if burst_mode
atx = tx; tx = zeros(1,states.Fs); on_time = 0; off_time = states.Fs;
for b=1:Nbursts
tx = [tx atx zeros(1,states.Fs)];
on_time += length(atx);
off_time += states.Fs;
end
% adjust channel simulator SNR setpoint given (burst on length)/(total length including silence) ratio
mark_space_SNR_offset = 10*log10(on_time/(on_time+off_time));
SNRdB_setpoint = SNR3kdB + mark_space_SNR_offset;
printf("SNR3kdB: %4.2f Burst offset: %4.2f SNRdB_setpoint: %4.2f\n", SNR3kdB, mark_space_SNR_offset, SNRdB_setpoint)
else
SNRdB_setpoint = SNR3kdB; % no adjustment to SNR in streaming mode
end
printf("Npackets: %d Nbursts: %d ", Npackets, Nbursts);
states.verbose=1;
tx = ofdm_hilbert_clipper(states, tx, tx_clip_en);
[rx_real rx] = ofdm_channel(states, tx, SNRdB_setpoint, channel, freq_offset_Hz);
frx = fopen(filename,"wb"); fwrite(frx, rx_real, "short"); fclose(frx);
if length(rx) >= states.Fs
figure(1); clf; plot(20*log10(abs(fft(rx(1:states.Fs)/16384))));
axis([1 states.Fs -20 60])
end
endfunction
third_party/codec2/octave/ofdm_lib.m
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third_party/codec2/octave/ofdm_load_const.m
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% make like C #define for ofdm modem
Fs = states.Fs;
bps = states.bps;
Rs = states.Rs;
Tcp = states.Tcp;
Ns = states.Ns;
Np = states.Np;
Nc = states.Nc;
M = states.M;
Ncp = states.Ncp;
bps = states.bps;
Nbitsperframe = states.Nbitsperframe;
Nbitsperpacket = states.Nbitsperpacket;
Nsampersymbol = states.Nsampersymbol;
Nsamperframe = states.Nsamperframe;
timing_mx_thresh = states.timing_mx_thresh;
Nuwbits = states.Nuwbits;
Ntxtbits = states.Ntxtbits;
tx_uw = states.tx_uw;
uw_ind = states.uw_ind;
uw_ind_sym = states.uw_ind_sym;
Nuwframes=states.Nuwframes;
W = states.W;
w = states.w;
timing_est = states.timing_est;
sample_point = states.sample_point;
ftwindow_width = states.ftwindow_width;
Nrxbuf = states.Nrxbuf;
rxbuf = states.rxbuf;
rxbufst = states.rxbufst;
Nrxbufmin = states.Nrxbufmin;
pilots = states.pilots;
rate_fs_pilot_samples = states.rate_fs_pilot_samples;
foff_est_gain = states.foff_est_gain;
foff_est_hz = states.foff_est_hz;
timing_en = states.timing_en;
foff_est_en = states.foff_est_en;
phase_est_en = states.phase_est_en;
rate = states.rate;
ldpc_en = states.ldpc_en;
if ldpc_en
code_param = states.code_param;
max_iterations = states.ldpc_max_iterations;
demod_type = states.ldpc_demod_type;
decoder_type = states.ldpc_decoder_type;
end
verbose = states.verbose;
ofdm_peak = states.ofdm_peak;
third_party/codec2/octave/ofdm_mode.m
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% ofdm_mode.m
%
% Library of functions to help setting up OFDM modes
%------------------------------------------------------------------------------
% ofdm_init_mode - Helper function to set up modems for various FreeDV modes,
% and parse mode string.
%------------------------------------------------------------------------------
1;
function config = ofdm_init_mode(mode="700D")
% defaults for 700D
Tcp = 0.002;
Ns = 8;
Ts = 0.018;
Nc = 17;
config.bps = 2;
config.Np = 1;
config.Ntxtbits = 4;
config.Nuwbits = 5*config.bps;
config.ftwindow_width = 32;
config.timing_mx_thresh = 0.35;
config.bad_uw_errors = 3;
config.amp_scale = 245E3;
config.amp_est_mode = 0;
config.EsNo_est_all_symbols = 1;
config.EsNodB = 3;
config.state_machine = "voice1";
config.edge_pilots = 1;
config.clip_gain1 = 2.5;
config.clip_gain2 = 0.8;
config.foff_limiter = 0;
config.txbpf_width_Hz = 2000;
config.data_mode = "";
if strcmp(mode,"700D") || strcmp(mode,"700d")
% defaults above
elseif strcmp(mode,"700E") || strcmp(mode,"700e")
Ts = 0.014; Tcp=0.006; Nc = 21; Ns=4;
config.edge_pilots = 0; config.state_machine = "voice2";
config.Nuwbits = 12; config.bad_uw_errors = 3; config.Ntxtbits = 2;
config.amp_est_mode = 1; config.ftwindow_width = 80;
config.amp_scale = 155E3; config.clip_gain1 = 3; config.clip_gain2 = 0.8;
config.foff_limiter = 1;
elseif strcmp(mode,"2020")
Ts = 0.0205; Nc = 31;
config.amp_scale = 167E3; config.clip_gain1 = 2.5; config.clip_gain2 = 0.8;
elseif strcmp(mode,"2020B")
Ts = 0.014; Tcp = 0.004; Nc = 29; Ns=5;
config.Ntxtbits = 4; config.Nuwbits = 8*2; config.bad_uw_errors = 5;
config.amp_scale = 130E3; config.clip_gain1 = 2.5; config.clip_gain2 = 0.8;
config.edge_pilots = 0; config.state_machine = "voice2";
config.foff_limiter = 1; config.ftwindow_width = 64;
config.txbpf_width_Hz = 2200;
elseif strcmp(mode,"qam16c1")
Ns=5; config.Np=5; Tcp = 0.004; Ts = 0.016; Nc = 33; config.data_mode = "streaming";
config.bps=4; config.Ntxtbits = 0; config.Nuwbits = 15*4; config.bad_uw_errors = 5;
config.state_machine = "data";
config.ftwindow_width = 32; config.amp_scale = 132E3;
config.EsNo_est_all_symbols = 0; config.amp_est_mode = 1; config.EsNodB = 10;
elseif strcmp(mode,"qam16c2")
Ns=5; config.Np=31; Tcp = 0.004; Ts = 0.016; Nc = 33; config.data_mode = "streaming";
config.bps=4; config.Ntxtbits = 0; config.Nuwbits = 42*4; config.bad_uw_errors = 15;
config.ftwindow_width = 80; config.amp_scale = 135E3; config.state_machine = "data";
config.EsNo_est_all_symbols = 0; config.amp_est_mode = 1; config.EsNodB = 10;
config.tx_uw = zeros(1,config.Nuwbits = 42*4);
config.tx_uw(1:24) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0];
config.tx_uw(end-24+1:end) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0];
elseif strcmp(mode,"datac0")
Ns=5; config.Np=4; Tcp = 0.006; Ts = 0.016; Nc = 9; config.data_mode = "streaming";
config.Ntxtbits = 0; config.Nuwbits = 32; config.bad_uw_errors = 9;
config.state_machine = "data";
config.ftwindow_width = 80; config.amp_est_mode = 1; config.EsNodB = 3;
config.edge_pilots = 0; config.timing_mx_thresh = 0.08;
config.tx_uw = zeros(1,config.Nuwbits);
config.tx_uw(1:16) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0];
config.amp_scale = 300E3; config.clip_gain1 = 2.2; config.clip_gain2 = 0.85;
elseif strcmp(mode,"datac5")
Ns=5; config.Np=58; Tcp = 0.004; Ts = 0.016; Nc = 35; config.data_mode = "streaming";
config.Ntxtbits = 0; config.Nuwbits = 40; config.bad_uw_errors = 14;
config.state_machine = "data";
config.ftwindow_width = 80; config.amp_est_mode = 1; config.EsNodB = 3;
config.amp_scale = 145E3; config.clip_gain1 = 2.7; config.clip_gain2 = 0.8;
config.edge_pilots = 0; config.timing_mx_thresh = 0.10;
config.tx_uw = zeros(1,config.Nuwbits);
config.tx_uw(1:16) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0];
elseif strcmp(mode,"datac1")
Ns=5; config.Np=38; Tcp = 0.006; Ts = 0.016; Nc = 27; config.data_mode = "streaming";
config.Ntxtbits = 0; config.Nuwbits = 16; config.bad_uw_errors = 6;
config.state_machine = "data";
config.ftwindow_width = 80; config.amp_est_mode = 1; config.EsNodB = 3;
% clipper/compression adjustment:
% 1. With clipper off increase amp_scale until peak just hit 16384
% 2. With clipper on increase clip_gain1 until about 30% clipped
% 3. BPF will drop level beneath 16384, adjust clip_gain2 to just hit 16384 peak again
% 4. Clipped/unclipped operating point for same PER should be about 1dB apart
config.amp_scale = 145E3; config.clip_gain1 = 2.7; config.clip_gain2 = 0.8;
config.edge_pilots = 0; config.timing_mx_thresh = 0.10;
config.tx_uw = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0];
elseif strcmp(mode,"datac3")
Ns=5; config.Np=29; Tcp = 0.006; Ts = 0.016; Nc = 9; config.data_mode = "streaming";
config.edge_pilots = 0;
config.Ntxtbits = 0; config.Nuwbits = 40; config.bad_uw_errors = 10;
config.ftwindow_width = 80; config.timing_mx_thresh = 0.10;
config.tx_uw = zeros(1,config.Nuwbits);
config.tx_uw(1:24) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0];
config.tx_uw(end-24+1:end) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0];
config.amp_est_mode = 1; config.EsNodB = 3;
config.state_machine = "data";
config.amp_scale = 300E3; config.clip_gain1 = 2.2; config.clip_gain2 = 0.8;
elseif strcmp(mode,"datac4")
Ns=5; config.Np=47; Tcp = 0.006; Ts = 0.016; Nc = 4; config.data_mode = "streaming";
config.edge_pilots = 0;
config.Ntxtbits = 0; config.Nuwbits = 32; config.bad_uw_errors = 12;
config.ftwindow_width = 80; config.timing_mx_thresh = 0.5;
config.tx_uw = zeros(1,config.Nuwbits);
config.tx_uw(1:24) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0];
config.tx_uw(end-24+1:end) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0];
config.amp_est_mode = 1; config.EsNodB = 3;
config.state_machine = "data";
config.amp_scale = 2*300E3; config.clip_gain1 = 1.2; config.clip_gain2 = 1.0;
config.txbpf_width_Hz = 400;
elseif strcmp(mode,"datac13")
Ns=5; config.Np=18; Tcp = 0.006; Ts = 0.016; Nc = 3; config.data_mode = "streaming";
config.edge_pilots = 0;
config.Ntxtbits = 0; config.Nuwbits = 48; config.bad_uw_errors = 18;
config.ftwindow_width = 80; config.timing_mx_thresh = 0.45;
config.tx_uw = zeros(1,config.Nuwbits);
config.tx_uw(1:24) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0];
config.tx_uw(end-24+1:end) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0];
config.amp_est_mode = 1; config.EsNodB = 3;
config.state_machine = "data";
config.amp_scale = 2.5*300E3; config.clip_gain1 = 1.2; config.clip_gain2 = 1.0;
config.txbpf_width_Hz = 400;
elseif strcmp(mode,"datac14")
Ns=5; config.Np=4; Tcp = 0.005; Ts = 0.018; Nc = 4; config.data_mode = "streaming";
config.edge_pilots = 0;
config.Ntxtbits = 0; config.Nuwbits = 32; config.bad_uw_errors = 12;
config.ftwindow_width = 80; config.timing_mx_thresh = 0.45;
config.tx_uw = zeros(1,config.Nuwbits);
config.tx_uw(1:24) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0];
config.tx_uw(end-24+1:end) = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0];
config.amp_est_mode = 1; config.EsNodB = 3;
config.state_machine = "data";
config.amp_scale = 2*300E3; config.clip_gain1 = 2; config.clip_gain2 = 1;
config.txbpf_width_Hz = 400;
elseif strcmp(mode,"1")
Ns=5; config.Np=10; Tcp=0; Tframe = 0.1; Ts = Tframe/Ns; Nc = 1;
else
% try to parse mode string for user defined mode
vec = sscanf(mode, "Ts=%f Nc=%d Ncp=%f");
Ts=vec(1); Nc=vec(2); Ncp=vec(3);
end
Rs=1/Ts;
config.Rs = Rs; config.Tcp = Tcp; config.Ns = Ns; config.Nc = Nc;
if !isfield(config,"tx_uw")
config.tx_uw = zeros(1,config.Nuwbits);
end
end
% ------------------------------------------------------------------------------
% codec_to_frame_packing - Set up a bunch of constants to support modem frame
% construction from LDPC codewords and codec source bits
% ------------------------------------------------------------------------------
function [code_param Nbitspercodecframe Ncodecframespermodemframe] = codec_to_frame_packing(states, mode)
ofdm_load_const;
mod_order = 4; bps = 2; modulation = 'QPSK'; mapping = 'gray';
init_cml();
if strcmp(mode, "700D")
load HRA_112_112.txt
code_param = ldpc_init_user(HRA_112_112, modulation, mod_order, mapping);
assert(Nbitsperframe == (code_param.coded_bits_per_frame + Nuwbits + Ntxtbits));
% unused for this mode
Nbitspercodecframe = Ncodecframespermodemframe = 0;
end
if strcmp(mode, "700E")
load HRA_56_56.txt
code_param = ldpc_init_user(HRA_56_56, modulation, mod_order, mapping);
assert(Nbitsperframe == (code_param.coded_bits_per_frame + Nuwbits + Ntxtbits));
% unused for this mode
Nbitspercodecframe = Ncodecframespermodemframe = 0;
end
if strcmp(mode, "2020")
load HRA_504_396.txt
code_param = ldpc_init_user(HRA_504_396, modulation, mod_order, mapping);
code_param.data_bits_per_frame = 312;
code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
printf("2020 mode\n");
printf("ldpc_data_bits_per_frame = %d\n", code_param.ldpc_data_bits_per_frame);
printf("ldpc_coded_bits_per_frame = %d\n", code_param.ldpc_coded_bits_per_frame);
printf("ldpc_parity_bits_per_frame = %d\n", code_param.ldpc_parity_bits_per_frame);
printf("data_bits_per_frame = %d\n", code_param.data_bits_per_frame);
printf("coded_bits_per_frame = %d\n", code_param.coded_bits_per_frame);
printf("coded_syms_per_frame = %d\n", code_param.coded_syms_per_frame);
printf("ofdm_bits_per_frame = %d\n", Nbitsperframe);
Nbitspercodecframe = 52; Ncodecframespermodemframe = 6;
printf(" Nuwbits: %d Ntxtbits: %d\n", Nuwbits, Ntxtbits);
Nparity = code_param.ldpc_parity_bits_per_frame;
totalbitsperframe = code_param.data_bits_per_frame + Nparity + Nuwbits + Ntxtbits;
printf("Total bits per frame: %d\n", totalbitsperframe);
assert(totalbitsperframe == Nbitsperframe);
end
if strcmp(mode, "qam16c1")
load H2064_516_sparse.mat
code_param = ldpc_init_user(HRA, modulation='QAM', mod_order=16, mapping="", reshape(states.qam16,1,16));
end
if strcmp(mode, "qam16c2")
framesize = 16200; rate = 0.6;
code_param = ldpc_init_builtin("dvbs2", rate, framesize, modulation='QAM', mod_order=16, mapping="", reshape(states.qam16,1,16));
end
if strcmp(mode, "datac5")
framesize = 16200; rate = 0.6;
code_param = ldpc_init_builtin("dvbs2", rate, framesize, modulation='QPSK', mod_order=4, mapping="");
end
if strcmp(mode, "datac0") || strcmp(mode, "datac13")
load H_128_256_5.mat
code_param = ldpc_init_user(H, modulation, mod_order, mapping);
end
if strcmp(mode, "datac1")
load H_4096_8192_3d.mat
code_param = ldpc_init_user(HRA, modulation, mod_order, mapping);
end
if strcmp(mode, "datac3")
load H_1024_2048_4f.mat
code_param = ldpc_init_user(H, modulation, mod_order, mapping);
end
if strcmp(mode, "datac4")
load H_1024_2048_4f
code_param = ldpc_init_user(H, modulation, mod_order, mapping);
code_param.data_bits_per_frame = 448;
code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
end
if strcmp(mode, "datac13")
load H_256_512_4.mat
code_param = ldpc_init_user(H, modulation, mod_order, mapping);
code_param.data_bits_per_frame = 128;
code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
end
if strcmp(mode, "datac14")
load HRA_56_56.txt
code_param = ldpc_init_user(HRA_56_56, modulation, mod_order, mapping);
code_param.data_bits_per_frame = 40;
code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
end
if strcmp(mode, "datac0") || strcmp(mode, "datac1") || strcmp(mode, "datac3") ...
|| strcmp(mode, "datac4") || strcmp(mode, "qam16c1") ...
|| strcmp(mode, "qam16c2") || strcmp(mode, "datac5") || strcmp(mode, "datac13") ...
|| strcmp(mode, "datac14")
printf("ldpc_data_bits_per_frame = %d\n", code_param.ldpc_data_bits_per_frame);
printf("ldpc_coded_bits_per_frame = %d\n", code_param.ldpc_coded_bits_per_frame);
printf("ldpc_parity_bits_per_frame = %d\n", code_param.ldpc_parity_bits_per_frame);
printf("Nbitsperpacket = %d\n", Nbitsperpacket);
Nparity = code_param.ldpc_parity_bits_per_frame;
totalbitsperframe = code_param.data_bits_per_frame + Nparity + Nuwbits + Ntxtbits;
printf("totalbitsperframe = %d\n", totalbitsperframe);
assert(totalbitsperframe == Nbitsperpacket);
Nbitspercodecframe = Ncodecframespermodemframe = -1;
end
endfunction
third_party/codec2/octave/ofdm_rx.m
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% ofdm_rx.m
% David Rowe May 2018
%
% OFDM file based uncoded rx to unit test core OFDM modem. See also
% ofdm_ldpc_rx which includes LDPC and interleaving, and ofdm_demod.c
#{
1. Streaming mode operation:
ofdm_rx("test_datac0.raw","datac0")
2. Burst mode, tell state machine there is one packet in each burst:
ofdm_rx("test_datac0.raw","datac0","packetsperburst",1)
3. Burst mode, enable only postamble detection:
ofdm_rx("test_datac0.raw","datac0","packetsperburst",1, "postambletest")
#}
function ofdm_rx(filename, mode="700D", varargin)
ofdm_lib;
more off;
pkg load signal;
% init modem
config = ofdm_init_mode(mode);
states = ofdm_init(config);
print_config(states);
ofdm_load_const;
states.verbose = 0;
pass_ber = 0;
pass_packet_count = 0;
i = 1;
while i <= length(varargin)
if strcmp(varargin{i},"packetsperburst")
states.data_mode = "burst"; % use pre/post amble based sync
states.packetsperburst = varargin{i+1}; i++;
states.postambledetectoren = 1;
elseif strcmp(varargin{i},"passber")
pass_ber = varargin{i+1}; i++;
elseif strcmp(varargin{i},"passpacketcount")
pass_packet_count = varargin{i+1}; i++;
elseif strcmp(varargin{i},"postambletest")
printf("postamble test!\n");
states.postambletest = 1;
% at high SNR avoid firing on data frames just before postamble
states.timing_mx_thresh = 0.15;
else
printf("\nERROR unknown argument: %s\n", varargin{i});
return;
end
i++;
end
% load real samples from file
Ascale = states.amp_scale/2; % as input is a real valued signal
frx=fopen(filename,"rb"); rx = fread(frx, Inf, "short")/Ascale; fclose(frx);
Nsam = length(rx); prx = 1;
% OK re-generate tx frame for BER calcs
tx_bits = create_ldpc_test_frame(states, coded_frame=0);
% init logs and BER stats
rx_np_log = []; timing_est_log = []; delta_t_log = []; foff_est_hz_log = [];
sample_point_log = [];
channel_est_pilot_log = []; snr_log = [];
Terrs = Tbits = Terrs_coded = Tbits_coded = Tpackets = Tpacketerrs = 0;
packet_count = frame_count = 0;
Nerrs_coded_log = Nerrs_log = [];
error_positions = [];
prx = 1;
nin = Nsamperframe+2*(M+Ncp);
states.verbose = 1;
Nsymsperpacket = Nbitsperpacket/bps; Nsymsperframe = Nbitsperframe/bps;
rx_syms = zeros(1,Nsymsperpacket); rx_amps = zeros(1,Nsymsperpacket);
Nerrs = 0; rx_uw = zeros(1,states.Nuwbits);
% main loop ----------------------------------------------------------------
rx = ofdm_rx_filter(states, mode, rx);
f = 1;
while(prx < Nsam)
% insert samples at end of buffer, set to zero if no samples
% available to disable phase estimation on future pilots on last
% frame of simulation
lnew = min(Nsam-prx,states.nin);
rxbuf_in = zeros(1,states.nin);
if lnew
rxbuf_in(1:lnew) = rx(prx:prx+lnew-1);
end
prx += states.nin;
if states.verbose
printf("f: %3d nin: %4d st: %-6s ", f, states.nin, states.sync_state);
end
if strcmp(states.sync_state,'search')
[timing_valid states] = ofdm_sync_search(states, rxbuf_in);
else
% accumulate a buffer of data symbols for this packet
rx_syms(1:end-Nsymsperframe) = rx_syms(Nsymsperframe+1:end);
rx_amps(1:end-Nsymsperframe) = rx_amps(Nsymsperframe+1:end);
[states rx_bits achannel_est_pilot_log arx_np arx_amp] = ofdm_demod(states, rxbuf_in);
rx_syms(end-Nsymsperframe+1:end) = arx_np;
rx_amps(end-Nsymsperframe+1:end) = arx_amp;
rx_uw = extract_uw(states, rx_syms(end-Nuwframes*Nsymsperframe+1:end), rx_amps(end-Nuwframes*Nsymsperframe+1:end));
% We need the full packet of symbols before disassembling and checking for bit errors
if states.modem_frame == (states.Np-1);
rx_bits = zeros(1,Nbitsperpacket);
for s=1:Nsymsperpacket
if bps == 2
rx_bits(bps*(s-1)+1:bps*s) = qpsk_demod(rx_syms(s));
elseif bps == 4
rx_bits(bps*(s-1)+1:bps*s) = qam16_demod(states.qam16,rx_syms(s), rx_amps(s));
end
end
errors = xor(tx_bits, rx_bits);
Nerrs = sum(errors);
Nerrs_log = [Nerrs_log Nerrs];
Terrs += Nerrs;
Tbits += Nbitsperpacket;
packet_count++;
% per-packet SNR estimate
EsNo_estdB = esno_est_calc(rx_syms);
SNR_estdB = snr_from_esno(states, EsNo_estdB);
snr_log = [snr_log SNR_estdB];
end
% we are in sync so log states
rx_np_log = [rx_np_log arx_np];
timing_est_log = [timing_est_log states.timing_est];
sample_point_log = [sample_point_log states.sample_point];
delta_t_log = [delta_t_log states.delta_t];
foff_est_hz_log = [foff_est_hz_log states.foff_est_hz];
channel_est_pilot_log = [channel_est_pilot_log; achannel_est_pilot_log];
frame_count++;
end
states = sync_state_machine(states, rx_uw);
if states.verbose
if strcmp(states.last_sync_state,'search') == 0
if (states.modem_frame == 0) && (strcmp(states.sync_state, "trial") == 0)
printf(" euw: %3d %d mf: %2d pbw: %s foff: %4.1f eraw: %3d snr: %5.2f",
states.uw_errors, states.sync_counter, states.modem_frame, states.phase_est_bandwidth(1),
states.foff_est_hz, Nerrs, SNR_estdB);
else
printf(" euw: %3d %d mf: %2d pbw: %s foff: %4.1f",
states.uw_errors, states.sync_counter, states.modem_frame, states.phase_est_bandwidth(1),
states.foff_est_hz);
end
end
printf("\n");
end
% reset stats if in streaming mode, don't reset if in burst mode
if strcmp(states.data_mode, "streaming") && states.sync_start
Nerrs_log = [];
Terrs = Tbits = frame_count = 0;
rx_np_log = [];
sig_var_log = []; noise_var_log = [];
end
f++;
end
Nframes = f;
ber = Terrs/(Tbits+1E-12);
printf("\nBER..: %5.4f Tbits: %5d Terrs: %5d\n", ber, Tbits, Terrs);
% If we have enough frames, calc BER discarding first few frames where freq
% offset is adjusting
Ndiscard = 20;
if packet_count > Ndiscard
Terrs -= sum(Nerrs_log(1:Ndiscard)); Tbits -= Ndiscard*Nbitsperframe;
printf("BER2.: %5.4f Tbits: %5d Terrs: %5d\n", Terrs/Tbits, Tbits, Terrs);
end
SNR_estdB = mean(snr_log);
printf("Packets: %3d Npre: %d Npost: %d SNR3k: %3.2f\n",
packet_count, states.npre, states.npost, SNR_estdB);
figure(1); clf;
tmp = exp(j*pi/4)*rx_np_log(floor(end/4):floor(end-end/8));
plot(tmp,'+');
mx = 2*max(abs(tmp));
axis([-mx mx -mx mx]);
title('Scatter');
figure(2); clf;
plot(angle(channel_est_pilot_log(:,2:Nc)),'g+', 'markersize', 5);
title('Phase est');
axis([1 length(channel_est_pilot_log) -pi pi]);
figure(3); clf;
plot(abs(channel_est_pilot_log(:,:)),'g+', 'markersize', 5);
title('Amp est');
axis([1 length(channel_est_pilot_log) -3 3]);
figure(4); clf;
subplot(211)
stem(delta_t_log)
title('delta t');
subplot(212)
plot(timing_est_log,';timing est;');
hold on; plot(sample_point_log,';sample point;'); hold off;
figure(5); clf;
plot(foff_est_hz_log)
mx = max(abs(foff_est_hz_log))+1;
axis([1 max(Nframes,2) -mx mx]);
title('Fine Freq');
ylabel('Hz')
figure(6); clf;
stem(Nerrs_log);
title('Errors/modem frame')
if length(Nerrs_log) > 1
axis([1 length(Nerrs_log) 0 Nbitsperframe*rate/2]);
endif
figure(7); clf;
plot(snr_log);
title('SNR estimates');
figure(8); clf; plot_specgram(rx, 8000, 500, 2500);
% optional pass criteria for ctests
if pass_ber > 0
if packet_count && (ber < pass_ber) printf("Pass!\n"); else printf("Fail!\n"); end;
end
if pass_packet_count > 0
if packet_count >= pass_packet_count printf("Pass!\n"); else printf("Fail!\n"); end;
end
endfunction
third_party/codec2/octave/ofdm_state.m
Vendored
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% ofdm_state.m
%
% Library of state machine functions for the OFDM modem
1;
%-------------------------------------------------------------------
% sync_state_machine - calls mode-specific sync state state_machine
%-------------------------------------------------------------------
function states = sync_state_machine(states, rx_uw)
if strcmp(states.state_machine, "voice1")
states = sync_state_machine_voice1(states, rx_uw);
elseif strcmp(states.state_machine, "data")
if strcmp(states.data_mode, "streaming")
states = sync_state_machine_data_streaming(states, rx_uw);
else
states = sync_state_machine_data_burst(states, rx_uw);
end
elseif strcmp(states.state_machine, "voice2")
states = sync_state_machine_voice2(states, rx_uw);
else
assert(0);
endif
endfunction
%--------------------------------------------------------------------
% Due to the low pilot symbol insertion rate and acquisition issues
% the earlier OFDM modem waveforms (700D and 2020) need a complex
% state machine to help them avoid false sync.
%--------------------------------------------------------------------
function states = sync_state_machine_voice1(states, rx_uw)
ofdm_load_const;
next_state = states.sync_state;
states.sync_start = states.sync_end = 0;
if strcmp(states.sync_state,'search')
if states.timing_valid
states.frame_count = 0;
states.sync_counter = 0;
states.modem_frame = 0;
states.sync_start = 1;
next_state = 'trial';
end
end
if strcmp(states.sync_state,'synced') || strcmp(states.sync_state,'trial')
states.frame_count++;
% UW occurs at the start of a packet
if states.modem_frame == 0
states.uw_errors = sum(xor(tx_uw,rx_uw));
if strcmp(states.sync_state,'trial')
if states.uw_errors >= states.bad_uw_errors
states.sync_counter++;
states.frame_count = 0;
end
if states.sync_counter == 2
next_state = "search";
states.phase_est_bandwidth = "high";
end
if states.frame_count == 4
next_state = "synced";
% change to low bandwidth, but more accurate phase estimation
states.phase_est_bandwidth = "low";
end
if states.uw_errors < 2
next_state = "synced";
% change to low bandwidth, but more accurate phase estimation
states.phase_est_bandwidth = "low";
else
next_state = "search";
end
end
if strcmp(states.sync_state,'synced')
if states.uw_errors > 2
states.sync_counter++;
else
states.sync_counter = 0;
end
if states.sync_counter == 6
next_state = "search";
states.phase_est_bandwidth = "high";
end
end
end % if modem_frame == 0 ....
% keep track of where we are up to in packet
states.modem_frame++;
if (states.modem_frame >= states.Np) states.modem_frame = 0; end
end
states.last_sync_state = states.sync_state;
states.sync_state = next_state;
endfunction
%-------------------------------------------------------
% data (streaming mode) state machine
%-------------------------------------------------------
function states = sync_state_machine_data_streaming(states, rx_uw)
ofdm_load_const;
next_state = states.sync_state;
states.sync_start = states.sync_end = 0;
if strcmp(states.sync_state,'search')
if states.timing_valid
states.sync_start = 1;
states.sync_counter = 0;
next_state = 'trial';
end
end
states.uw_errors = sum(xor(tx_uw,rx_uw));
if strcmp(states.sync_state,'trial')
if states.uw_errors < states.bad_uw_errors;
next_state = "synced";
states.packet_count = 0;
states.modem_frame = Nuwframes;
else
states.sync_counter++;
if states.sync_counter > Np
next_state = "search";
end
end
end
% Note packetsperburst==0 we don't ever lose sync, which is useful for
% stream based testing or external control of state machine
if strcmp(states.sync_state,'synced')
states.modem_frame++;
if (states.modem_frame >= states.Np)
states.modem_frame = 0;
states.packet_count++;
if (states.packetsperburst)
if (states.packet_count >= states.packetsperburst)
next_state = "search";
end
end
end
end
states.last_sync_state = states.sync_state;
states.sync_state = next_state;
endfunction
%-------------------------------------------------------
% data (burst mode) state machine
%-------------------------------------------------------
function states = sync_state_machine_data_burst(states, rx_uw)
ofdm_load_const;
next_state = states.sync_state;
states.sync_start = states.sync_end = 0;
if strcmp(states.sync_state,'search')
if states.timing_valid
states.sync_start = 1;
states.sync_counter = 0;
next_state = 'trial';
end
end
states.uw_errors = sum(xor(tx_uw,rx_uw));
% pre or post-amble has told us this is the start of the packet. Confirm we
% have a valid frame by checking the UW after the modem frames containing
% the UW have been received
if strcmp(states.sync_state,'trial')
states.sync_counter++;
if states.sync_counter == Nuwframes
if states.uw_errors < states.bad_uw_errors;
next_state = "synced";
states.packet_count = 0; % number of packets in this burst
states.modem_frame = Nuwframes; % which modem frame we are up to in packet
else
next_state = "search";
% reset rxbuf to make sure we only ever do a postamble loop once through same samples
states.rxbufst = states.Nrxbufhistory;
states.rxbuf = zeros(1, states.Nrxbuf);
end
end
end
if strcmp(states.sync_state,'synced')
states.modem_frame++;
if (states.modem_frame >= states.Np)
states.modem_frame = 0; % start of new packet
states.packet_count++;
if (states.packetsperburst)
if (states.packet_count >= states.packetsperburst)
next_state = "search"; % we've finished this burst
% reset rxbuf to make sure we only ever do a postamble loop once through same samples
states.rxbufst = states.Nrxbufhistory;
states.rxbuf = zeros(1, states.Nrxbuf);
end
end
end
end
states.last_sync_state = states.sync_state;
states.sync_state = next_state;
endfunction
%-------------------------------------------------------
% fast sync voice state state_machine
%-------------------------------------------------------
function states = sync_state_machine_voice2(states, rx_uw)
ofdm_load_const;
next_state = states.sync_state;
states.sync_start = states.sync_end = 0;
if strcmp(states.sync_state,'search')
if states.timing_valid
states.frame_count = 0;
states.sync_counter = 0;
states.modem_frame = 0;
states.sync_start = 1;
next_state = 'trial';
end
end
if strcmp(states.sync_state,'synced') || strcmp(states.sync_state,'trial')
states.frame_count++;
% UW occurs at the start of a packet
if states.modem_frame == 0
states.uw_errors = sum(xor(tx_uw,rx_uw));
if strcmp(states.sync_state,'trial')
if states.uw_errors <= states.bad_uw_errors
next_state = "synced";
else
next_state = "search";
end
end
if strcmp(states.sync_state,'synced')
if states.uw_errors > states.bad_uw_errors
states.sync_counter++;
else
states.sync_counter = 0;
end
if states.sync_counter == 6
next_state = "search";
end
end
end
% keep track of where we are up to in packet
states.modem_frame++;
if (states.modem_frame >= states.Np) states.modem_frame = 0; end
end
states.last_sync_state = states.sync_state;
states.sync_state = next_state;
endfunction
third_party/codec2/octave/ofdm_time_sync.m
Vendored
+22
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% ofdm_time_sync.m
% David Rowe June 2019
%
% Tests ofdm modem sync time, using real, off air files
function ofdm_time_sync(filename, Ntrials=10)
time_to_sync = []; passes = fails = 0;
for toffset=0:Ntrials-1
atime = ofdm_ldpc_rx(filename, mode="700D", interleave_frames = 1, "", start_secs=toffset, len_secs=5);
if atime != -1
passes++;
time_to_sync = [time_to_sync atime];
else
fails++;
end
end
printf("pass: %d fails: %d mean: %3.2f var %3.2f\n", passes, fails, mean(time_to_sync), var(time_to_sync));
figure(1); clf; plot(time_to_sync);
endfunction
third_party/codec2/octave/ofdm_tx.m
Vendored
+95
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% ofdm_tx.m
% David Rowe March 2018
%
% File based, uncoded OFDM tx. Generates a file of ofdm samples,
% including optional channel simulation. See also ofdm_ldpc_tx.m, and
% ofdm_mod.c
#{
Examples:
i) 10 seconds, AWGN channel at SNR3k=3dB
octave:4> ofdm_tx("awgn_snr_3dB_700d.raw", "700D", 10, 3)
ii) 10 seconds, multipath poor channel at SNR=6dB
octave:5> ofdm_tx("hf_snr_6dB_700d.raw", "700D", 10, 6, "mpp")
iii) Data mode example, three bursts of one packet each, SNR=100dB:
octave:6> ofdm_tx("test_datac0.raw","datac0",1,100,"awgn","bursts",3)
#}
function ofdm_tx(filename, mode="700D", N, SNR3kdB=100, channel='awgn', varargin)
ofdm_lib;
channel_lib;
randn('seed',1);
pkg load signal;
tx_clip_en = 0; freq_offset_Hz = 0.0; burst_mode = 0; Nbursts = 1;
i = 1;
while i<=length(varargin)
if strcmp(varargin{i},"txclip")
tx_clip_en = 1;
elseif strcmp(varargin{i},"bursts")
burst_mode = 1;
Nbursts = varargin{i+1}; i++;
else
printf("\nERROR unknown argument: [%d] %s \n", i ,varargin{i});
return;
end
i++;
end
% init modem
config = ofdm_init_mode(mode);
states = ofdm_init(config);
print_config(states);
ofdm_load_const;
if burst_mode
% burst mode: treat N as Npackets
Npackets = N;
else
% streaming mode: treat N as Nseconds
Npackets = round(N/states.Tpacket);
end
% Generate fixed test frame of tx bits and concatenate packets
tx_bits = create_ldpc_test_frame(states, coded_frame=0);
atx = ofdm_mod(states, tx_bits);
tx = [];
for f=1:Npackets
tx = [tx atx];
end
if length(states.data_mode)
% note postamble provides a "column" of pilots at the end of the burst
tx = [states.tx_preamble tx states.tx_postamble];
end
% if burst mode concatenate multiple bursts with spaces
if burst_mode
atx = tx; tx = zeros(1,states.Fs); on_time = 0; off_time = states.Fs;
for b=1:Nbursts
tx = [tx atx zeros(1,states.Fs)];
on_time += length(atx);
off_time += states.Fs;
end
% adjust channel simulator SNR setpoint given (burst on length)/(total length including silence) ratio
mark_space_SNR_offset = 10*log10(on_time/(on_time+off_time));
SNRdB_setpoint = SNR3kdB + mark_space_SNR_offset;
printf("SNR3kdB: %4.2f Burst offset: %4.2f SNRdB_setpoint: %4.2f\n", SNR3kdB, mark_space_SNR_offset, SNRdB_setpoint)
else
SNRdB_setpoint = SNR3kdB; % no adjustment to SNR in streaming mode
end
printf("Npackets: %d Nbursts: %d ", Npackets, Nbursts);
states.verbose=1;
tx = ofdm_hilbert_clipper(states, tx, tx_clip_en);
rx_real = ofdm_channel(states, tx, SNRdB_setpoint, channel, freq_offset_Hz);
frx = fopen(filename,"wb"); fwrite(frx, rx_real, "short"); fclose(frx);
endfunction
third_party/codec2/octave/plamp.m
Vendored
+178
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@@ -0,0 +1,178 @@
% plamp.m
% Plot ampltiude modelling information from c2sim dump files.
function plamp(samname, f, epslatex=0)
plot_sw = 1;
sn_name = strcat(samname,"_sn.txt");
Sn = load(sn_name);
sw_name = strcat(samname,"_sw.txt");
Sw = load(sw_name);
sw__name = strcat(samname,"_sw_.txt");
if (file_in_path(".",sw__name))
Sw_ = load(sw__name);
endif
ew_name = strcat(samname,"_ew.txt");
if (file_in_path(".",ew_name))
Ew = load(ew_name);
endif
E_name = strcat(samname,"_E.txt");
if (file_in_path(".",E_name))
E = load(E_name);
endif
rk_name = strcat(samname,"_rk.txt");
if (file_in_path(".",rk_name))
Rk = load(rk_name);
endif
model_name = strcat(samname,"_model.txt");
model = load(model_name);
modelq_name = strcat(samname,"_qmodel.txt");
if (file_in_path(".",modelq_name))
modelq = load(modelq_name);
endif
pw_name = strcat(samname,"_pw.txt");
if (file_in_path(".",pw_name))
Pw = load(pw_name);
endif
pwb_name = strcat(samname,"_pwb.txt");
if (file_in_path(".",pwb_name))
Pwb = load(pwb_name);
endif
lsp_name = strcat(samname,"_lsp.txt");
if (file_in_path(".",lsp_name))
lsp = load(lsp_name);
endif
phase_name = strcat(samname,"_phase.txt");
if (file_in_path(".",phase_name))
phase = load(phase_name);
endif
phase_name_ = strcat(samname,"_phase_.txt");
if (file_in_path(".",phase_name_))
phase_ = load(phase_name_);
endif
snr_name = strcat(samname,"_snr.txt");
if (file_in_path(".",snr_name))
snr = load(snr_name);
endif
if epslatex, [textfontsize linewidth] = set_fonts(); end
k = ' ';
do
figure(1); clf;
clf;
s = [ Sn(2*f-1,:) Sn(2*f,:) ];
plot(s,'b');
axis([1 length(s) -30000 30000]);
xlabel('Time (samples)'); ylabel('Amplitude');
figure(2); clf;
Wo = model(f,1);
L = model(f,2);
Am = model(f,3:(L+2));
plot((1:L)*Wo*4000/pi, 20*log10(Am),"+-r");
axis([1 4000 -10 80]);
hold on;
if plot_sw
plot((0:255)*4000/256, Sw(f,:),"b");
end
hold off; grid minor;
ylabel ('Amplitude (dB)'); xlabel('Frequency (Hz)');
figure(3); clf;
hold on;
plot((0:255)*4000/256, Sw(f,:),"b");
plot((1:L)*Wo*4000/pi, 20*log10(Am),"+-r");
plot((0:255)*4000/256, E(f)+10*log10(Pwb(f,:)),"g");
plot(lsp(f,:)*4000/pi, 75,"g+");
hold off; grid minor;
axis([1 4000 -10 80]);
ylabel ('Amplitude (dB)'); xlabel('Frequency (Hz)');
figure(4); clf;
hold on;
plot((0:255)*4000/256, E(f)+10*log10(Pwb(f,:)),"g");
plot((0:255)*4000/256, 10*log10(Pw(f,:)),"r");
hold off; grid minor;
axis([1 4000 -10 80]);
ylabel ('Amplitude (dB)'); xlabel('Frequency (Hz)');
% print EPS file
if epslatex
sz = "-S300,200";
figure(1);
fn = sprintf("%s_%d_sn.tex",samname,f);
print(fn,"-depslatex",sz); printf("\nprinting... %s\n", fn);
% file of points to plot in sinusoidal model
fn = sprintf("%s_%d_sn.txt",samname,f);
t_length = 4; s_max = 2; s=s*s_max/max(abs(s));
N = length(s); t = (0:N-1)*t_length/N;
s_save = [t' s']; size(s_save)
save("-ascii",fn,"s_save"); printf("printing... %s\n", fn);
figure(2);
fn = sprintf("%s_%d_sw.tex",samname,f);
print(fn,"-depslatex",sz); printf("printing... %s\n", fn);
figure(3);
fn = sprintf("%s_%d_lpc_lsp.tex",samname,f);
print(fn,"-depslatex",sz); printf("printing... %s\n", fn);
figure(4);
fn = sprintf("%s_%d_lpc_pf.tex",samname,f);
print(fn,"-depslatex",sz); printf("printing... %s\n", fn);
restore_fonts(textfontsize,linewidth);
endif
% interactive menu
printf("\rframe: %d menu: n-next b-back s-plot_sw q-quit", f);
fflush(stdout);
k = kbhit();
if k == 'n'; f = f + 1; endif
if k == 'b'; f = f - 1; endif
if k == 's'
if plot_sw; plot_sw = 0; else; plot_sw = 1; end
endif
until (k == 'q')
printf("\n");
endfunction
function [textfontsize linewidth] = set_fonts(font_size=12)
textfontsize = get(0,"defaulttextfontsize");
linewidth = get(0,"defaultlinelinewidth");
set(0, "defaulttextfontsize", font_size);
set(0, "defaultaxesfontsize", font_size);
set(0, "defaultlinelinewidth", 0.5);
end
function restore_fonts(textfontsize,linewidth)
set(0, "defaulttextfontsize", textfontsize);
set(0, "defaultaxesfontsize", textfontsize);
set(0, "defaultlinelinewidth", linewidth);
end
function print_eps_restore(fn,sz,textfontsize,linewidth)
print(fn,"-depslatex",sz);
printf("printing... %s\n", fn);
restore_fonts(textfontsize,linewidth);
end
third_party/codec2/octave/plot_fsk_demod_stats.py
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#!/usr/bin/env python3
#
# Plot fsk_demod statistic outputs.
#
# Copyright (C) 2018 Mark Jessop <vk5qi@rfhead.net>
# Released under GNU GPL v3 or later
#
import json
import os
import sys
import time
import subprocess
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
_filename = sys.argv[1]
if len(sys.argv)>2:
_sps = int(sys.argv[2])
_x_label = "Seconds"
else:
_sps = 1
_x_label = "Sample Number"
_ebno = []
_fest1 = []
_fest2 = []
_fest3 = []
_fest4 = []
_ppm = []
_time = []
_f = open(_filename,'r')
for _line in _f:
if _line[0] != '{':
continue
try:
_data = json.loads(_line)
except Exception as e:
#print("Line parsing error: %s" % str(e))
continue
_ebno.append(_data['EbNodB'])
_fest1.append(_data['f1_est'])
_fest2.append(_data['f2_est'])
if 'f3_est' in _data:
_fest3.append(_data['f3_est'])
_fest4.append(_data['f4_est'])
_ppm.append(_data['ppm'])
if _time == []:
_time = [0]
else:
_time.append(_time[-1]+1.0/_sps)
_ebno_max = pd.Series(_ebno).rolling(10).max().dropna().tolist()
plt.figure()
plt.plot(_time[:len(_ebno_max)],_ebno_max)
plt.xlabel(_x_label)
plt.ylabel("Eb/N0 (dB)")
plt.title("Eb/N0")
plt.figure()
plt.plot(_time,_fest1, label="f1 est")
plt.plot(_time,_fest2, label="f2 est")
if len(_fest3) > 0:
plt.plot(_time,_fest3, label="f3 est")
plt.plot(_time,_fest4, label="f4 est")
plt.legend()
plt.xlabel(_x_label)
plt.ylabel("Frequency (Hz)")
plt.title("Frequency Estimator Outputs")
plt.figure()
plt.plot(_time,_ppm)
plt.xlabel(_x_label)
plt.ylabel("PPM")
plt.title("Demod PPM Estimate")
plt.show()
third_party/codec2/octave/plot_specgram.m
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% plot_specgram.m
% David Rowe May 2017
%
% As the name suggests.....
function S = plot_specgram(x, Fs=8000, fmin, fmax)
step = fix(20*Fs/1000); # one spectral slice every 5 ms
window = fix(160*Fs/1000); # 40 ms data window
fftn = 2^nextpow2(window); # next highest power of 2
[S, f, t] = specgram(x, fftn, Fs, window, window-step);
S = abs(S(2:fftn/2,:)); # magnitude in range 0<f<=Fs/2 Hz.
S = S/max(S(:)); # normalize magnitude so that max is 0 dB.
S = max(S, 10^(-20/10)); # clip below -20 dB.
S = min(S, 10^(-3/10)); # clip above -3 dB.
imagesc (t, f, log(S)); # display in log scale
set (gca, "ydir", "normal"); # put the 'y' direction in the correct direction
if nargin > 2
axis([0 max(t) fmin fmax])
end
xlabel('Time (s)'); ylabel('Freq (Hz)');
endfunction
third_party/codec2/octave/qam16.m
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% qam16.m
% David Rowe May 2020
%
% Octave QAM16 functions
1;
function symbol = qam16_mod(constellation, four_bits)
bits_decimal = sum(four_bits .* [8 4 2 1]);
symbol = constellation(bits_decimal+1);
endfunction
function four_bits = qam16_demod(constellation, symbol, amp_est=1)
assert (amp_est != 0);
symbol /= amp_est;
dist = abs(symbol - constellation(1:16));
[tmp decimal] = min(dist);
four_bits = zeros(1,4);
for i=1:4
four_bits(1,5-i) = bitand(bitshift(decimal-1,1-i),1);
end
endfunction
function test_qam16_mod_demod(constellation)
for decimal=0:15
tx_bits = zeros(1,4);
for i=1:4
tx_bits(1,5-i) = bitand(bitshift(decimal-1,1-i),1);
end
symbol = qam16_mod(constellation, tx_bits);
rx_bits = qam16_demod(constellation,symbol);
assert(tx_bits == rx_bits);
end
endfunction
third_party/codec2/octave/qpsk.m
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% qpsk.m
%
% David Rowe Sep 2015
%
% Octave functions to implement a QPSK modem
1;
% Gray coded QPSK modulation function
function symbol = qpsk_mod(two_bits)
two_bits_decimal = sum(two_bits .* [2 1]);
switch(two_bits_decimal)
case (0) symbol = 1;
case (1) symbol = j;
case (2) symbol = -j;
case (3) symbol = -1;
endswitch
endfunction
% Gray coded QPSK demodulation function
function two_bits = qpsk_demod(symbol)
bit0 = real(symbol*exp(j*pi/4)) < 0;
bit1 = imag(symbol*exp(j*pi/4)) < 0;
two_bits = [bit1 bit0];
endfunction
% Inserts pilot symbols a frame of symbols. The pilot symbols are
% spread evenly throughout the input frame.
function frameout = insert_pilots(framein, pilots, Npilotstep)
lpilots = length(pilots);
lframein = length(framein);
frameout = zeros(1, lframein + lpilots);
pin = 1; pout = 1; ppilots = 1;
while (lpilots)
%printf("pin %d pout %d ppilots %d lpilots %d\n", pin, pout, ppilots, lpilots);
frameout(pout:pout+Npilotstep-1) = framein(pin:pin+Npilotstep-1);
pin += Npilotstep;
pout += Npilotstep;
frameout(pout:pout) = pilots(ppilots);
ppilots++;
pout++;
lpilots--;
end
endfunction
% Removes the pilots symbols from a frame of symbols.
function frameout = remove_pilots(framein, pilots, Npilotstep)
frameout = [];
lpilots = length(pilots);
pin = 1; pout = 1;
while (lpilots)
%printf("pin %d pout %d lpilots %d ", pin, pout, lpilots);
%printf("pin+spacing-1 %d lvd %d lframein: %d\n", pin+spacing-1, lvd, length(framein));
frameout(pout:pout+Npilotstep-1) = framein(pin:pin+Npilotstep-1);
pin += Npilotstep+1;
pout += Npilotstep;
lpilots--;
end
endfunction
% Estimate and correct phase offset using a window of Np pilots around
% current symbol
function symbpilot_rx = correct_phase_offset(aqpsk, symbpilot_rx)
rx_pilot_buf = aqpsk.rx_pilot_buf;
Npilotstep = aqpsk.Npilotstep;
Nsymb = aqpsk.Nsymb;
for ns=1:Npilotstep+1:Nsymb
% update buffer of recent pilots, note we need past ones
rx_pilot_buf(1) = rx_pilot_buf(2);
next_pilot_index = ceil(ns/(Npilotstep+1))*(Npilotstep+1);
rx_pilot_buf(2) = symbpilot_rx(next_pilot_index);
% average pilot symbols to get estimate of phase
phase_est = angle(sum(rx_pilot_buf));
%printf("next_pilot_index: %d phase_est: %f\n", next_pilot_index, phase_est);
% now correct the phase of each symbol
for s=ns:ns+Npilotstep
symbpilot_rx(s) *= exp(-j*phase_est);
end
end
aqpsk.rx_pilot_buf = rx_pilot_buf;
endfunction
% builds up a sparse QPSK modulated version version of the UW for use
% in UW sync at the rx
function mod_uw = build_mod_uw(uw, spacing)
luw = length(uw);
mod_uw = [];
pout = 1; puw = 1;
while (luw)
%printf("pin %d pout %d puw %d luw %d\n", pin, pout, puw, luw);
pout += spacing/2;
mod_uw(pout) = qpsk_mod(uw(puw:puw+1));
puw += 2;
pout += 1;
luw -= 2;
end
endfunction
% Uses the UW to determine when we have a full codeword ready for decoding
function [found_uw corr] = look_for_uw(mem_rx_symbols, mod_uw)
sparse_mem_rx_symbols = mem_rx_symbols(find(mod_uw));
% correlate with ref UW
num = (mem_rx_symbols * mod_uw') .^ 2;
den = (sparse_mem_rx_symbols * sparse_mem_rx_symbols') * (mod_uw * mod_uw');
corr = abs(num/(den+1E-6));
found_uw = corr > 0.8;
endfunction
third_party/codec2/octave/sample_clock_offset.m
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% sample_clock_offset.m
%
% David Rowe June 2017
%
% To simulate a sample clock offset we resample by a small amount
% using linear interpolation
function rx = sample_clock_offset(tx, sample_clock_offset_ppm)
tin=1;
tout=1;
rx = zeros(1,length(tx));
while tin < length(tx)
t1 = floor(tin);
t2 = ceil(tin);
f = tin - t1;
rx(tout) = (1-f)*tx(t1) + f*tx(t2);
tout += 1;
tin += 1+sample_clock_offset_ppm/1E6;
end
end
third_party/codec2/octave/snr_curves_plot.m
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% snr_curves_plot.m
%
% Companion script for unittest/raw_data_curves
1;
function state_vec = set_graphics_state_print()
textfontsize = get(0,"defaulttextfontsize");
linewidth = get(0,"defaultlinelinewidth");
markersize = get(0, "defaultlinemarkersize");
set(0, "defaulttextfontsize", 16);
set(0, "defaultaxesfontsize", 16);
set(0, "defaultlinelinewidth", 1);
state_vec = [textfontsize linewidth markersize];
endfunction
function set_graphics_state_screen(state_vec)
textfontsize = state_vec(1);
linewidth = state_vec(2);
markersize = state_vec(3);
set(0, "defaulttextfontsize", textfontsize);
set(0, "defaultaxesfontsize", textfontsize);
set(0, "defaultlinelinewidth", linewidth);
set(0, "defaultlinemarkersize", markersize);
endfunction
function [snr_ch per] = snr_scatter(source, mode, channel, colour)
suffix = sprintf("_%s_%s_%s",source, mode, channel);
snr = load(sprintf("snr%s.txt",suffix));
offset = load(sprintf("offset%s.txt",suffix));
snr -= offset;
snr_x = []; snrest_y = [];
for i=1:length(snr)
fn = sprintf('snrest%s_%d.txt',suffix,i);
if exist(fn,'file') == 2
snrest=load(fn);
if i == length(snr)
plot(snr(i)*ones(1,length(snrest)), snrest, sprintf('%s;%s %s;',colour,source,mode));
else
plot(snr(i)*ones(1,length(snrest)), snrest, sprintf('%s',colour));
end
snr_x = [snr_x snr(i)]; snrest_y = [snrest_y mean(snrest)];
end
end
plot(snr_x, snrest_y, sprintf('%s', colour));
endfunction
function [snr_ch per] = per_snr(mode, colour)
snrch = load(sprintf("snrch_%s.txt",mode));
snroffset = load(sprintf("snroffset_%s.txt",mode));
snrch -= snroffset;
per = load(sprintf("per_%s.txt",mode));
plot(snrch, per, sprintf('%so-;%s;', colour, mode));
endfunction
function snrest_snr_screen(source, channel)
clf; hold on;
snr_scatter(source, 'datac0', channel,'b+-')
snr_scatter(source, 'datac1', channel,'g+-')
snr_scatter(source, 'datac3', channel,'r+-')
snr_scatter(source, 'datac4', channel,'c+-')
snr_scatter(source, 'datac13', channel,'m+-')
xlabel('SNR (dB)'); ylabel('SNRest (dB)'); grid('minor');
axis([-12 12 -12 12]);
a = axis;
plot([a(1) a(2)],[a(1) a(2)],'bk-');
hold off; grid;
if strcmp(source,'ctx')
title(sprintf('SNR estimate versus SNR (%s) (no compression)', channel));
else
title(sprintf('SNR estimate versus SNR (%s) (with compression)', channel));
end
legend('location','northwest');
endfunction
function snrest_snr_print(source, channel)
state_vec = set_graphics_state_print();
snrest_snr_screen(source, channel);
print(sprintf("snrest_snr_%s.png", source), "-dpng", "-S1000,800");
set_graphics_state_screen(state_vec);
endfunction
function ber_per_v_snr(source, mode, channel, colour)
suffix = sprintf("_%s_%s_%s.txt",source, mode, channel);
snr = load(sprintf("snr%s",suffix));
offset = load(sprintf("offset%s",suffix));
snr -= offset;
ber = load(sprintf("ber%s",suffix)) + 1E-6;
per = load(sprintf("per%s",suffix)) + 1E-6;
semilogy(snr, ber, sprintf('%s;%s %s ber;', colour, source, mode));
semilogy(snr, per, sprintf('%s;%s %s per;', colour, source, mode),'linewidth',3,'markersize',10);
endfunction
function per_v_snr(source, mode, channel, colour)
suffix = sprintf("_%s_%s_%s.txt",source, mode, channel);
snr = load(sprintf("snr%s",suffix));
offset = load(sprintf("offset%s",suffix));
snr -= offset;
per = load(sprintf("per%s",suffix)) + 1E-6;
if strcmp(channel,"awgn")
semilogy(snr, per, sprintf('%s;%s %s;', colour, mode, channel));
else
semilogy(snr, per, sprintf('%s;%s %s;', colour, mode, channel),'linewidth',3,'markersize',10);
end
endfunction
function thruput_v_snr(source, mode, channel, colour)
suffix = sprintf("_%s_%s_%s.txt",source, mode, channel);
snr = load(sprintf("snr%s",suffix));
offset = load(sprintf("offset%s",suffix));
snr -= offset;
per = load(sprintf("per%s",suffix)) + 1E-6;
if strcmp(mode,"datac0") Rb=291; end;
if strcmp(mode,"datac1") Rb=980; end;
if strcmp(mode,"datac3") Rb=321; end;
if strcmp(mode,"datac4") Rb=87; end;
if strcmp(mode,"datac13") Rb=65; end;
if strcmp(mode,"datac14") Rb=58; end;
if strcmp(channel,"awgn")
plot(snr, Rb*(1-per), sprintf('%s;%s %s;', colour, mode, channel));
else
plot(snr, Rb*(1-per), sprintf('%s;%s %s;', colour, mode, channel),'linewidth',3,'markersize',10);
end
endfunction
function octave_ch_noise_screen(channel)
clf; hold on;
ber_per_v_snr('oct','datac0',channel,'bo-')
ber_per_v_snr('ch' ,'datac0',channel,'bx-')
ber_per_v_snr('oct','datac1',channel,'go-')
ber_per_v_snr('ch' ,'datac1',channel,'gx-')
ber_per_v_snr('oct','datac3',channel,'ro-')
ber_per_v_snr('ch' ,'datac3',channel,'rx-')
xlabel('SNR (dB)'); grid;
hold off;
if strcmp(channel,"awgn")
axis([-6 8 1E-3 1]);
else
axis([-2 12 1E-3 1]);
end
title(sprintf('Comparsion of Measuring SNR from Octave and ch tool (%s)', channel));
endfunction
function octave_ch_noise_print(channel)
state_vec = set_graphics_state_print();
octave_ch_noise_screen(channel);
print(sprintf("octave_ch_noise_%s.png", channel), "-dpng","-S1000,800");
set_graphics_state_screen(state_vec);
endfunction
function octave_c_tx_screen(channel)
clf; hold on;
ber_per_v_snr('oct','datac0',channel,'bo-')
ber_per_v_snr('ctx','datac0',channel,'bx-')
ber_per_v_snr('oct','datac1',channel,'go-')
ber_per_v_snr('ctx','datac1',channel,'gx-')
ber_per_v_snr('oct','datac3',channel,'ro-')
ber_per_v_snr('ctx','datac3',channel,'rx-')
xlabel('SNR (dB)'); grid;
hold off;
if strcmp(channel,"awgn")
axis([-6 8 1E-3 1]);
else
axis([-2 12 1E-3 1]);
end
title(sprintf('Comparsion of Octave Tx and C Tx (no compression) (%s)', channel));
endfunction
function octave_c_tx_print(channel)
state_vec = set_graphics_state_print();
octave_c_tx_screen(channel);
print(sprintf("octave_c_tx_%s.png", channel), "-dpng","-S1000,800");
set_graphics_state_screen(state_vec);
endfunction
function octave_c_tx_comp_screen(channel)
clf; hold on;
ber_per_v_snr('oct','datac0',channel,'bo-')
ber_per_v_snr('ctxc','datac0',channel,'bx-')
ber_per_v_snr('oct','datac1',channel,'go-')
ber_per_v_snr('ctxc','datac1',channel,'gx-')
ber_per_v_snr('oct','datac3',channel,'ro-')
ber_per_v_snr('ctxc','datac3',channel,'rx-')
xlabel('SNR (dB)'); grid;
hold off;
if strcmp(channel,"awgn")
axis([-6 8 1E-3 1]);
else
axis([-2 12 1E-3 1]);
end
title(sprintf('Comparsion of Octave Tx and C Tx (with compression) (%s)', channel));
endfunction
function octave_c_tx_comp_print(channel)
state_vec = set_graphics_state_print();
octave_c_tx_comp_screen(channel);
print(sprintf("octave_c_tx_comp_%s.png", channel), "-dpng","-S1000,800");
set_graphics_state_screen(state_vec);
endfunction
% composite AWGN and MPP for compressed
function c_tx_comp_screen
clf; hold on;
per_v_snr('ctxc','datac0','awgn','bo-')
per_v_snr('ctxc','datac1','awgn','go-')
per_v_snr('ctxc','datac3','awgn','ro-')
per_v_snr('ctxc','datac4','awgn','co-')
per_v_snr('ctxc','datac13','awgn','mo-')
per_v_snr('ctxc','datac14','awgn','ko-')
per_v_snr('ctxc','datac0','mpp','bx-')
per_v_snr('ctxc','datac1','mpp','gx-')
per_v_snr('ctxc','datac3','mpp','rx-')
per_v_snr('ctxc','datac4','mpp','cx-')
per_v_snr('ctxc','datac13','mpp','mx-')
per_v_snr('ctxc','datac14','mpp','kx-')
xlabel('SNR (dB)'); ylabel('PER'); grid;
hold off;
axis([-10 14 1E-3 1]);
title('PER of C Raw Data Modes (with compression)');
endfunction
function c_tx_comp_print;
state_vec = set_graphics_state_print();
c_tx_comp_screen;
print("c_tx_comp.png", "-dpng","-S1000,800");
set_graphics_state_screen(state_vec);
endfunction
function c_tx_comp_thruput_screen
clf; hold on;
thruput_v_snr('ctxc','datac0','awgn','bo-')
thruput_v_snr('ctxc','datac1','awgn','go-')
thruput_v_snr('ctxc','datac3','awgn','ro-')
thruput_v_snr('ctxc','datac4','awgn','co-')
thruput_v_snr('ctxc','datac13','awgn','mo-')
thruput_v_snr('ctxc','datac14','awgn','ko-')
thruput_v_snr('ctxc','datac0','mpp','bx-')
thruput_v_snr('ctxc','datac1','mpp','gx-')
thruput_v_snr('ctxc','datac3','mpp','rx-')
thruput_v_snr('ctxc','datac4','mpp','cx-')
thruput_v_snr('ctxc','datac13','mpp','mx-')
thruput_v_snr('ctxc','datac14','mpp','kx-')
xlabel('SNR (dB)'); ylabel('bits/s'); grid;
hold off;
axis([-10 10 0 1000]);
title(' Throughput for C Tx (with compression)');
legend('location','west');
endfunction
function c_tx_comp_thruput_print;
state_vec = set_graphics_state_print;
c_tx_comp_thruput_screen;
print("c_tx_comp_thruput.png", "-dpng","-S1000,800");
set_graphics_state_screen(state_vec);
endfunction
#{
figure(1); octave_ch_noise_screen;
figure(2); octave_c_tx_screen;
figure(3); octave_c_tx_comp_screen
figure(4); snrest_snr_screen;
figure(5); octave_ch_noise_print;
figure(6); octave_c_tx_print;
figure(7); octave_c_tx_comp_print;
figure(8); snrest_snr_print;
#}
third_party/codec2/octave/spec.m
Vendored
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% spec.m
% Jean Marc Valin
%
% Spectrogram function for Octave
%
% Copyright (c) John-Marc Valin 2012
%
% Redistribution and use in source and binary forms, with or without
% modification, are permitted provided that the following conditions
% are met:
%
% - Redistributions of source code must retain the above copyright
% notice, this list of conditions and the following disclaimer.
%
% - Redistributions in binary form must reproduce the above copyright
% notice, this list of conditions and the following disclaimer in the
% documentation and/or other materials provided with the distribution.
%
% - Neither the name of Jean Marc Valin nor the names of its
% contributors may be used to endorse or promote products derived from
% this software without specific prior written permission.
%
% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
% ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
% LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
% A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR
% CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
% EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
% PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
% PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
% LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
% NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
% SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
function X = spec(x, Fs, framesize, start, stop)
gr=[zeros(1024,1),[0:1023]'/1023,.68*[0:1023]'/1023];
%gr=[.4*[0:1023]'/1023,[0:1023]'/1023,.68*[0:1023]'/1023];
%t=[0:1023]'/1023;
%t=(1+.25*t-cos(pi*t))/2.25;
%gr = [zeros(1024,1),t,.68*t];
%colormap(gr);
if nargin < 2 || isempty(Fs)
Fs = 44100;
end
if nargin < 3 || isempty(framesize)
framesize = 2048;
endif
offset = framesize/8;
X = 20*log10(abs(specgram(x, framesize, 48000, blackmanharris(framesize)', framesize-offset)));
XM=max(max(X));
X = max(XM-30,X);
%size(X)
F = -[framesize/2-1:-1:0]/framesize*Fs;
%F = [0:127]/128*24000;
T=[1:size(X,2)]/Fs*offset;
%imagesc(X(end:-1:1,:));
if nargin < 4 || isempty(start)
istart=1;
else
istart = round(start*Fs/offset);
end
if nargin < 5 || isempty(stop)
istop = size(X,2);
else
istop = round(stop*Fs/offset);
endif
istart = max(1,istart);
istop = min(istop, size(X,2));
imagesc(T(1+istart:istop), F, X(end:-1:1,1+istart:istop));
X = X(:,1+istart:istop);
third_party/codec2/octave/tcohpsk.m
Vendored
+745
View File
@@ -0,0 +1,745 @@
% tcohpsk.m
% David Rowe Oct 2014
%
% Octave coherent PSK modem script that has two modes:
%
% i) tests the C port of the coherent PSK modem. This script loads
% the output of unittest/tcohpsk.c and compares it to the output of
% the reference versions of the same modem written in Octave.
%
% (ii) Runs the Octave version of the cohpsk modem to tune and develop
% it, including extensive channel simulations such as AWGN noise,
% fading/HF, frequency offset, frequency drift, and tx/rx sample
% rate differences.
% TODO:
%
% [X] Test
% [X] AWGN channel
% [X] freq offset
% [X] fading channel
% [X] freq drift
% [X] timing drift
% [X] tune perf/impl loss to get closer to ideal
% [X] linear interp of phase for better fading perf
% [X] freq offset/drift feedback loop
% [X] PAPR measurement and reduction
% [X] false sync
% [X] doesn't sync up on noise (used EsNo = -12)
% [X] similar but invalid signal like huge f off
% [X] ability to "unsync" when signal disappears
% [ ] some calibrated tests against FreeDV 1600
% + compare sound quality at various Es/Nos
% [ ] sync
% + set some req & implement
% [ ] way to handle eom w/o nasties
% + like mute output when signal has gone or v low snr
% + instantaneous snr
% [X] ssb tx filter with 3dB passband ripple
% + diverisity helped for AWGN BER 0.024 down to 0.016
% + Only a small change in fading perf with filter on/off
% + however other filters may have other effects, should test this,
% e.g. scatter plots, some sort of BER metric?
% [X] EsNo estimation
% [ ] filter reqd with compression?
% + make sure not too much noise passed into noise floor
% [X] different diversity combination
% + taking largest symbol didn't help
% [X] histogram of bit errors
% + lot of data
% + ssb filter
% + compression
% + make sure it's flat with many errors
pkg load signal;
more off;
global passes = 0;
global fails = 0;
cohpsk_dev;
fdmdv_common;
autotest;
rand('state',1);
randn('state',1);
% select which test ----------------------------------------------------------
test = 'compare to c';
%test = 'awgn';
%test = 'fading';
% some parameters that can be over ridden, e.g. to disable parts of modem
initial_sync = 0; % setting this to 1 put us straight into sync w/o freq offset est
ftrack_en = 1; % set to 1 to enable freq tracking
ssb_tx_filt = 0; % set to 1 to to simulate SSB tx filter with passband ripple
Fs = 7500;
% predefined tests ....
if strcmp(test, 'compare to c')
frames = 30;
foff = 58.7;
dfoff = -0.5/Fs;
EsNodB = 8;
fading_en = 0;
hf_delay_ms = 2;
compare_with_c = 1;
sample_rate_ppm = -1500;
ssb_tx_filt = 0;
end
% should be BER around 0.015 to 0.02
if strcmp(test, 'awgn')
frames = 100;
foff = 58.7;
dfoff = -0.5/Fs;
EsNodB = 8;
fading_en = 0;
hf_delay_ms = 2;
compare_with_c = 0;
sample_rate_ppm = 0;
end
% Similar to AWGN - should be BER around 0.015 to 0.02
if strcmp(test, 'fading');
frames = 100;
foff = -25;
dfoff = 0.5/Fs;
EsNodB = 12;
fading_en = 1;
hf_delay_ms = 2;
compare_with_c = 0;
sample_rate_ppm = 0;
end
EsNo = 10^(EsNodB/10);
% modem constants ----------------------------------------------------------
Rs = 75; % symbol rate in Hz
Nc = 7; % number of carriers
Nd = 2; % diveristy factor
framesize = 56; % number of payload data bits in the frame
Nsw = 4; % frames we demod for initial sync window
afdmdv.Nsym = 6; % size of tx/tx root nyquist filter in symbols
afdmdv.Nt = 5; % number of symbols we estimate timing over
clip = 6.5; % Clipping of tx signal to reduce PAPR. Adjust by
% experiment as Nc and Nd change. Check out no noise
% scatter diagram and AWGN/fading BER perf
% at operating points
% FDMDV init ---------------------------------------------------------------
afdmdv.Fs = Fs;
afdmdv.Nc = Nd*Nc-1;
afdmdv.Rs = Rs;
if Fs/afdmdv.Rs != floor(Fs/afdmdv.Rs)
printf("\n Oops, Fs/Rs must be an integer!\n\n");
return
end
M = afdmdv.M = afdmdv.Fs/afdmdv.Rs;
afdmdv.Nfilter = afdmdv.Nsym*M;
afdmdv.tx_filter_memory = zeros(afdmdv.Nc+1, afdmdv.Nfilter);
excess_bw = 0.5;
afdmdv.gt_alpha5_root = gen_rn_coeffs(excess_bw, 1/Fs, Rs, afdmdv.Nsym, afdmdv.M);
Fcentre = afdmdv.Fcentre = 1500;
afdmdv.Fsep = afdmdv.Rs*(1+excess_bw);
afdmdv.phase_tx = ones(afdmdv.Nc+1,1);
% non linear carrier spacing, combined with clip, helps PAPR a lot!
freq_hz = afdmdv.Fsep*( -Nc*Nd/2 - 0.5 + (1:Nc*Nd).^0.98 );
afdmdv.freq_pol = 2*pi*freq_hz/Fs;
afdmdv.freq = exp(j*afdmdv.freq_pol);
afdmdv.Fcentre = 1500;
afdmdv.fbb_rect = exp(j*2*pi*Fcentre/Fs);
afdmdv.fbb_phase_tx = 1;
afdmdv.fbb_phase_rx = 1;
afdmdv.Nrxdec = 31;
afdmdv.rxdec_coeff = fir1(afdmdv.Nrxdec-1, 0.25)';
afdmdv.rxdec_lpf_mem = zeros(1,afdmdv.Nrxdec-1+afdmdv.M);
P = afdmdv.P = 4;
afdmdv.phase_rx = ones(afdmdv.Nc+1,1);
afdmdv.Nfilter = afdmdv.Nsym*afdmdv.M;
afdmdv.rx_fdm_mem = zeros(1,afdmdv.Nfilter + afdmdv.M);
Q = afdmdv.Q = afdmdv.M/4;
if Q != floor(Q)
printf("\n Yeah .... if (Fs/Rs)/4 = M/4 isn't an integer we will just go and break things.\n\n");
end
afdmdv.rx_filter_mem_timing = zeros(afdmdv.Nc+1, afdmdv.Nt*afdmdv.P);
afdmdv.Nfiltertiming = afdmdv.M + afdmdv.Nfilter + afdmdv.M;
afdmdv.rx_filter_memory = zeros(afdmdv.Nc+1, afdmdv.Nfilter);
afdmdv.filt = 0;
afdmdv.prev_rx_symb = ones(1,afdmdv.Nc+1);
% COHPSK Init --------------------------------------------------------
acohpsk = standard_init();
acohpsk.framesize = framesize;
acohpsk.ldpc_code = 0;
acohpsk.ldpc_code_rate = 1;
acohpsk.Nc = Nc;
acohpsk.Rs = Rs;
acohpsk.Ns = 4;
acohpsk.coh_en = 1;
acohpsk.Nd = Nd;
acohpsk.modulation = 'qpsk';
acohpsk.do_write_pilot_file = 0; % enable this to dump pilot symbols to C .h file, e.g. if frame params change
acohpsk = symbol_rate_init(acohpsk);
acohpsk.Ndft = 1024;
acohpsk.f_est = afdmdv.Fcentre;
ch_fdm_frame_buf = zeros(1, Nsw*acohpsk.Nsymbrowpilot*afdmdv.M);
% -----------------------------------------------------------
tx_bits_log = [];
tx_symb_log = [];
rx_amp_log = [];
rx_phi_log = [];
ch_symb_log = [];
rx_symb_log = [];
rx_bits_log = [];
tx_bits_prev_log = [];
uvnoise_log = [];
nerr_log = [];
tx_baseband_log = [];
tx_fdm_frame_log = [];
ch_fdm_frame_log = [];
rx_fdm_frame_bb_log = [];
rx_filt_log = [];
rx_fdm_filter_log = [];
rx_baseband_log = [];
rx_fdm_frame_log = [];
ct_symb_ff_log = [];
rx_timing_log = [];
ratio_log = [];
foff_log = [];
f_est_log = [];
sig_rms_log = [];
noise_rms_log = [];
noise_rms_filt_log = [];
% Channel modeling and BER measurement ----------------------------------------
rand('state',1);
tx_bits_coh = round(rand(1,framesize*10));
ptx_bits_coh = 1;
Nerrs = Tbits = 0;
prev_tx_bits = prev_tx_bits2 = [];
error_positions_hist = zeros(1,framesize);
phase_ch = 1;
sync = initial_sync;
acohpsk.f_est = Fcentre;
acohpsk.f_fine_est = 0;
acohpsk.ct = 4;
acohpsk.ftrack_en = ftrack_en;
if fading_en
[spread spread_2ms hf_gain] = init_hf_model(Fs, frames*acohpsk.Nsymbrowpilot*afdmdv.M);
hf_n = 1;
nhfdelay = floor(hf_delay_ms*Fs/1000);
ch_fdm_delay = zeros(1, acohpsk.Nsymbrowpilot*M + nhfdelay);
end
% simulated SSB tx filter
[b, a] = cheby1(4, 3, [600, 2600]/(Fs/2));
[y filt_states] = filter(b,a,0);
h = freqz(b,a,(600:2600)/(Fs/(2*pi)));
filt_gain = (2600-600)/sum(abs(h) .^ 2); % ensures power after filter == before filter
noise_rms_filt = 0;
% main loop --------------------------------------------------------------------
% run mod and channel as aseparate loop so we can resample to simulate sample rate differences
for f=1:frames
tx_bits = tx_bits_coh(ptx_bits_coh:ptx_bits_coh+framesize-1);
ptx_bits_coh += framesize;
if ptx_bits_coh > length(tx_bits_coh)
ptx_bits_coh = 1;
end
tx_bits_log = [tx_bits_log tx_bits];
[tx_symb tx_bits] = bits_to_qpsk_symbols(acohpsk, tx_bits, []);
tx_symb_log = [tx_symb_log; tx_symb];
tx_fdm_frame = [];
for r=1:acohpsk.Nsymbrowpilot
tx_onesymb = tx_symb(r,:);
[tx_baseband afdmdv] = tx_filter(afdmdv, tx_onesymb);
tx_baseband_log = [tx_baseband_log tx_baseband];
[tx_fdm afdmdv] = fdm_upconvert(afdmdv, tx_baseband);
tx_fdm_frame = [tx_fdm_frame tx_fdm];
end
% clipping, which along with non-linear carrier spacing, improves PAPR
% The value of clip is a function of Nc and is adjusted experimentally
% such that the BER hit over no clipping at Es/No=8dB is small.
ind = find(abs(tx_fdm_frame) > clip);
tx_fdm_frame(ind) = clip*exp(j*angle(tx_fdm_frame(ind)));
tx_fdm_frame_log = [tx_fdm_frame_log tx_fdm_frame];
%
% Channel --------------------------------------------------------------------
%
% simulate tx SSB filter with ripple
if ssb_tx_filt
[tx_fdm_frame filt_states] = filter(b,a,sqrt(filt_gain)*tx_fdm_frame, filt_states);
end
% frequency offset and frequency drift
ch_fdm_frame = zeros(1,acohpsk.Nsymbrowpilot*M);
for i=1:acohpsk.Nsymbrowpilot*M
foff_rect = exp(j*2*pi*foff/Fs);
foff += dfoff;
phase_ch *= foff_rect;
ch_fdm_frame(i) = tx_fdm_frame(i) * phase_ch;
end
foff_log = [foff_log foff];
phase_ch /= abs(phase_ch);
% optional fading
if fading_en
ch_fdm_delay(1:nhfdelay) = ch_fdm_delay(acohpsk.Nsymbrowpilot*M+1:nhfdelay+acohpsk.Nsymbrowpilot*M);
ch_fdm_delay(nhfdelay+1:nhfdelay+acohpsk.Nsymbrowpilot*M) = ch_fdm_frame;
for i=1:acohpsk.Nsymbrowpilot*M
ahf_model = hf_gain*(spread(hf_n)*ch_fdm_frame(i) + spread_2ms(hf_n)*ch_fdm_delay(i));
ch_fdm_frame(i) = ahf_model;
hf_n++;
end
end
% each carrier has power = 2, total power 2Nc, total symbol rate NcRs, noise BW B=Fs
% Es/No = (C/Rs)/(N/B), N = var = 2NcFs/NcRs(Es/No) = 2Fs/Rs(Es/No)
variance = 2*Fs/(acohpsk.Rs*EsNo);
uvnoise = sqrt(0.5)*(randn(1,acohpsk.Nsymbrowpilot*M) + j*randn(1,acohpsk.Nsymbrowpilot*M));
uvnoise_log = [uvnoise_log uvnoise];
noise = sqrt(variance)*uvnoise;
ch_fdm_frame += noise;
ch_fdm_frame_log = [ch_fdm_frame_log ch_fdm_frame];
end
% simulate difference in sample clocks
tin=1;
tout=1;
ch_fdm_frame_log_out = zeros(1,length(ch_fdm_frame_log));
while tin < length(ch_fdm_frame_log)
t1 = floor(tin);
t2 = ceil(tin);
f = tin - t1;
ch_fdm_frame_log_out(tout) = (1-f)*ch_fdm_frame_log(t1) + f*ch_fdm_frame_log(t2);
tout += 1;
tin += 1+sample_rate_ppm/1E6;
end
ch_fdm_frame_log = ch_fdm_frame_log_out(1:tout-1);
% Now run demod ----------------------------------------------------------------
ch_fdm_frame_log_index = 1;
nin = M;
f = 0;
nin_frame = acohpsk.Nsymbrowpilot*M;
%while (ch_fdm_frame_log_index + acohpsk.Nsymbrowpilot*M+M/P) < length(ch_fdm_frame_log)
for f=1:frames;
acohpsk.frame = f;
ch_fdm_frame = ch_fdm_frame_log(ch_fdm_frame_log_index:ch_fdm_frame_log_index + nin_frame - 1);
ch_fdm_frame_log_index += nin_frame;
%
% Demod ----------------------------------------------------------------------
%
% store two frames of received samples so we can rewind if we get a good candidate
ch_fdm_frame_buf(1:Nsw*acohpsk.Nsymbrowpilot*M-nin_frame) = ch_fdm_frame_buf(nin_frame+1:Nsw*acohpsk.Nsymbrowpilot*M);
ch_fdm_frame_buf(Nsw*acohpsk.Nsymbrowpilot*M-nin_frame+1:Nsw*acohpsk.Nsymbrowpilot*M) = ch_fdm_frame;
next_sync = sync;
% if out of sync do Initial Freq offset estimation over NSW frames to flush out memories
if (sync == 0)
% we can test +/- 20Hz, so we break this up into 3 tests to cover +/- 60Hz
max_ratio = 0;
for acohpsk.f_est = Fcentre-40:40:Fcentre+40
printf(" [%d] acohpsk.f_est: %f +/- 20\n", f, acohpsk.f_est);
% we are out of sync so reset f_est and process two frames to clean out memories
[ch_symb rx_timing rx_filt rx_baseband afdmdv acohpsk.f_est] = rate_Fs_rx_processing(afdmdv, ch_fdm_frame_buf, acohpsk.f_est, Nsw*acohpsk.Nsymbrowpilot, nin, 0);
rx_baseband_log = [rx_baseband_log rx_baseband];
rx_filt_log = [rx_filt_log rx_filt];
ch_symb_log = [ch_symb_log; ch_symb];
rx_timing_log = [rx_timing_log rx_timing];
for i=1:Nsw-1
acohpsk.ct_symb_buf = update_ct_symb_buf(acohpsk.ct_symb_buf, ch_symb((i-1)*acohpsk.Nsymbrowpilot+1:i*acohpsk.Nsymbrowpilot,:), acohpsk.Nct_sym_buf, acohpsk.Nsymbrowpilot);
end
[anext_sync acohpsk] = frame_sync_fine_freq_est(acohpsk, ch_symb((Nsw-1)*acohpsk.Nsymbrowpilot+1:Nsw*acohpsk.Nsymbrowpilot,:), sync, next_sync);
if anext_sync == 1
%printf(" [%d] acohpsk.ratio: %f\n", f, acohpsk.ratio);
if acohpsk.ratio > max_ratio
max_ratio = acohpsk.ratio;
f_est = acohpsk.f_est - acohpsk.f_fine_est;
next_sync = anext_sync;
end
end
end
if next_sync == 1
% we've found a sync candidate!
% re-process last two frames with adjusted f_est then check again
acohpsk.f_est = f_est;
printf(" [%d] trying sync and f_est: %f\n", f, acohpsk.f_est);
[ch_symb rx_timing rx_filt rx_baseband afdmdv f_est] = rate_Fs_rx_processing(afdmdv, ch_fdm_frame_buf, acohpsk.f_est, Nsw*acohpsk.Nsymbrowpilot, nin, 0);
rx_baseband_log = [rx_baseband_log rx_baseband];
rx_filt_log = [rx_filt_log rx_filt];
ch_symb_log = [ch_symb_log; ch_symb];
rx_timing_log = [rx_timing_log rx_timing];
for i=1:Nsw-1
acohpsk.ct_symb_buf = update_ct_symb_buf(acohpsk.ct_symb_buf, ch_symb((i-1)*acohpsk.Nsymbrowpilot+1:i*acohpsk.Nsymbrowpilot,:), acohpsk.Nct_sym_buf, acohpsk.Nsymbrowpilot);
end
[next_sync acohpsk] = frame_sync_fine_freq_est(acohpsk, ch_symb((Nsw-1)*acohpsk.Nsymbrowpilot+1:Nsw*acohpsk.Nsymbrowpilot,:), sync, next_sync);
if abs(acohpsk.f_fine_est) > 2
printf(" [%d] Hmm %f is a bit big so back to coarse est ...\n", f, acohpsk.f_fine_est);
next_sync = 0;
end
if acohpsk.ratio < 0.9
next_sync = 0;
end
if next_sync == 1
% OK we are in sync!
% demodulate first frame (demod completed below)
printf(" [%d] in sync! f_est: %f ratio: %f \n", f, f_est, acohpsk.ratio);
acohpsk.ct_symb_ff_buf(1:acohpsk.Nsymbrowpilot+2,:) = acohpsk.ct_symb_buf(acohpsk.ct+1:acohpsk.ct+acohpsk.Nsymbrowpilot+2,:);
end
end
end
% If in sync just do sample rate processing on latest frame
if sync == 1
[ch_symb rx_timing rx_filt rx_baseband afdmdv acohpsk.f_est] = rate_Fs_rx_processing(afdmdv, ch_fdm_frame, acohpsk.f_est, acohpsk.Nsymbrowpilot, nin, acohpsk.ftrack_en);
[next_sync acohpsk] = frame_sync_fine_freq_est(acohpsk, ch_symb, sync, next_sync);
acohpsk.ct_symb_ff_buf(1:2,:) = acohpsk.ct_symb_ff_buf(acohpsk.Nsymbrowpilot+1:acohpsk.Nsymbrowpilot+2,:);
acohpsk.ct_symb_ff_buf(3:acohpsk.Nsymbrowpilot+2,:) = acohpsk.ct_symb_buf(acohpsk.ct+3:acohpsk.ct+acohpsk.Nsymbrowpilot+2,:);
rx_baseband_log = [rx_baseband_log rx_baseband];
rx_filt_log = [rx_filt_log rx_filt];
ch_symb_log = [ch_symb_log; ch_symb];
rx_timing_log = [rx_timing_log rx_timing];
f_est_log = [f_est_log acohpsk.f_est];
end
% if we are in sync complete demodulation with symbol rate processing
if (next_sync == 1) || (sync == 1)
[rx_symb rx_bits rx_symb_linear amp_ phi_ sig_rms noise_rms] = qpsk_symbols_to_bits(acohpsk, acohpsk.ct_symb_ff_buf);
rx_symb_log = [rx_symb_log; rx_symb];
rx_amp_log = [rx_amp_log; amp_];
rx_phi_log = [rx_phi_log; phi_];
rx_bits_log = [rx_bits_log rx_bits];
tx_bits_prev_log = [tx_bits_prev_log prev_tx_bits2];
ratio_log = [ratio_log acohpsk.ratio];
ct_symb_ff_log = [ct_symb_ff_log; acohpsk.ct_symb_ff_buf(1:acohpsk.Nsymbrowpilot,:)];
sig_rms_log = [sig_rms_log sig_rms];
noise_rms_log = [noise_rms_log noise_rms];
noise_rms_filt = 0.9*noise_rms_filt + 0.1*noise_rms;
noise_rms_filt_log = [noise_rms_filt_log noise_rms_filt];
% BER stats
if f > 2
error_positions = xor(tx_bits_log((f-3)*framesize+1:(f-2)*framesize), rx_bits);
Nerrs += sum(error_positions);
nerr_log = [nerr_log sum(error_positions)];
Tbits += length(error_positions);
error_positions_hist += error_positions;
end
printf("\r [%d]", f);
end
% reset BER stats if we lose sync
if sync == 1
%Nerrs = 0;
%Tbits = 0;
%nerr_log = [];
end
[sync acohpsk] = sync_state_machine(acohpsk, sync, next_sync);
% work out how many samples we need for next time
nin = M;
if sync == 1
if rx_timing(length(rx_timing)) > M/P
nin = M + M/P;
end
if rx_timing(length(rx_timing)) < -M/P
nin = M - M/P;
end
end
nin_frame = (acohpsk.Nsymbrowpilot-1)*M + nin;
prev_tx_bits2 = prev_tx_bits;
prev_tx_bits = tx_bits;
end
ber = Nerrs/Tbits;
printf("\nOctave EsNodB: %4.1f ber..: %4.3f Nerrs..: %d Tbits..: %d\n", EsNodB, ber, Nerrs, Tbits);
if compare_with_c
% Output vectors from C port ---------------------------------------------------
load tcohpsk_out.txt
% Determine bit error rate
sz = length(rx_bits_log_c);
Nerrs_c = sum(xor(tx_bits_log(1:sz-framesize), rx_bits_log_c(framesize+1:sz)));
Tbits_c = length(tx_bits_prev_log);
ber_c = Nerrs_c/Tbits_c;
printf("C EsNodB.....: %4.1f ber_c: %4.3f Nerrs_c: %d Tbits_c: %d\n", EsNodB, ber_c, Nerrs_c, Tbits_c);
stem_sig_and_error(1, 111, tx_bits_log_c, tx_bits_log - tx_bits_log_c, 'tx bits', [1 length(tx_bits_log) -1.5 1.5])
stem_sig_and_error(2, 211, real(tx_symb_log_c), real(tx_symb_log - tx_symb_log_c), 'tx symb re', [1 length(tx_symb_log_c) -1.5 1.5])
stem_sig_and_error(2, 212, imag(tx_symb_log_c), imag(tx_symb_log - tx_symb_log_c), 'tx symb im', [1 length(tx_symb_log_c) -1.5 1.5])
stem_sig_and_error(3, 211, real(tx_fdm_frame_log_c), real(tx_fdm_frame_log - tx_fdm_frame_log_c), 'tx fdm frame re', [1 length(tx_fdm_frame_log) -10 10])
stem_sig_and_error(3, 212, imag(tx_fdm_frame_log_c), imag(tx_fdm_frame_log - tx_fdm_frame_log_c), 'tx fdm frame im', [1 length(tx_fdm_frame_log) -10 10])
stem_sig_and_error(4, 211, real(ch_fdm_frame_log_c), real(ch_fdm_frame_log - ch_fdm_frame_log_c), 'ch fdm frame re', [1 length(ch_fdm_frame_log) -10 10])
stem_sig_and_error(4, 212, imag(ch_fdm_frame_log_c), imag(ch_fdm_frame_log - ch_fdm_frame_log_c), 'ch fdm frame im', [1 length(ch_fdm_frame_log) -10 10])
c = 1;
stem_sig_and_error(5, 211, real(rx_baseband_log_c(c,:)), real(rx_baseband_log(c,:) - rx_baseband_log_c(c,:)), 'rx baseband re', [1 length(rx_baseband_log) -10 10])
stem_sig_and_error(5, 212, imag(rx_baseband_log_c(c,:)), imag(rx_baseband_log(c,:) - rx_baseband_log_c(c,:)), 'rx baseband im', [1 length(rx_baseband_log) -10 10])
stem_sig_and_error(6, 211, real(rx_filt_log_c(c,:)), real(rx_filt_log(c,:) - rx_filt_log_c(c,:)), 'rx filt re', [1 length(rx_filt_log) -1 1])
stem_sig_and_error(6, 212, imag(rx_filt_log_c(c,:)), imag(rx_filt_log(c,:) - rx_filt_log_c(c,:)), 'rx filt im', [1 length(rx_filt_log) -1 1])
[n m] = size(ch_symb_log);
stem_sig_and_error(7, 211, real(ch_symb_log_c), real(ch_symb_log - ch_symb_log_c), 'ch symb re', [1 n -1.5 1.5])
stem_sig_and_error(7, 212, imag(ch_symb_log_c), imag(ch_symb_log - ch_symb_log_c), 'ch symb im', [1 n -1.5 1.5])
[n m] = size(rx_symb_log);
stem_sig_and_error(8, 211, rx_amp_log_c, rx_amp_log - rx_amp_log_c, 'Amp Est', [1 n -1.5 1.5])
phi_log_diff = rx_phi_log - rx_phi_log_c;
phi_log_diff(find(phi_log_diff > pi)) -= 2*pi;
phi_log_diff(find(phi_log_diff < -pi)) += 2*pi;
stem_sig_and_error(8, 212, rx_phi_log_c, phi_log_diff, 'Phase Est', [1 n -4 4])
stem_sig_and_error(9, 211, real(rx_symb_log_c), real(rx_symb_log - rx_symb_log_c), 'rx symb re', [1 n -1.5 1.5])
stem_sig_and_error(9, 212, imag(rx_symb_log_c), imag(rx_symb_log - rx_symb_log_c), 'rx symb im', [1 n -1.5 1.5])
stem_sig_and_error(10, 111, rx_bits_log_c, rx_bits_log - rx_bits_log_c, 'rx bits', [1 length(rx_bits_log) -1.5 1.5])
stem_sig_and_error(11, 111, f_est_log_c - Fcentre - foff, f_est_log - f_est_log_c, 'f est', [1 length(f_est_log) -5 5])
stem_sig_and_error(12, 111, rx_timing_log_c, rx_timing_log_c - rx_timing_log, 'rx timing', [1 length(rx_timing_log) -M M])
check(tx_bits_log, tx_bits_log_c, 'tx_bits');
check(tx_symb_log, tx_symb_log_c, 'tx_symb');
check(tx_fdm_frame_log, tx_fdm_frame_log_c, 'tx_fdm_frame',0.01);
check(ch_fdm_frame_log, ch_fdm_frame_log_c, 'ch_fdm_frame',0.01);
check(ch_symb_log, ch_symb_log_c, 'ch_symb',0.05);
check(rx_amp_log, rx_amp_log_c, 'rx_amp_log',0.01);
check(phi_log_diff, zeros(length(phi_log_diff), Nc*Nd), 'rx_phi_log',0.1);
check(rx_symb_log, rx_symb_log_c, 'rx_symb',0.01);
check(rx_timing_log, rx_timing_log_c, 'rx_timing',0.005);
check(rx_bits_log, rx_bits_log_c, 'rx_bits');
check(f_est_log, f_est_log_c, 'f_est');
check(sig_rms_log, sig_rms_log_c, 'sig_rms');
check(noise_rms_log, noise_rms_log_c, 'noise_rms');
printf("\npasses: %d fails: %d\n", passes, fails);
else
papr = max(tx_fdm_frame_log.*conj(tx_fdm_frame_log)) / mean(tx_fdm_frame_log.*conj(tx_fdm_frame_log));
papr_dB = 10*log10(papr);
printf("av tx pwr: %4.2f PAPR: %4.2f av rx pwr: %4.2f\n", var(tx_fdm_frame_log), papr_dB, var(ch_fdm_frame_log));
% some other useful plots
f = figure(1)
clf
subplot(211)
plot(real(tx_fdm_frame_log))
title('tx fdm real');
subplot(212)
plot(imag(tx_fdm_frame_log))
title('tx fdm imag');
f = figure(2)
clf
spec = 20*log10(abs(fft(tx_fdm_frame_log)));
l = length(spec);
plot((Fs/l)*(1:l), spec)
axis([1 Fs/2 0 max(spec)]);
title('tx spectrum');
ylabel('Amplitude (dB)')
xlabel('Frequency (Hz)')
grid;
f = figure(3)
clf;
% plot combined signals to show diversity gains
combined = rx_symb_log(:,1:Nc);
for d=2:Nd
combined += rx_symb_log(:, (d-1)*Nc+1:d*Nc);
end
plot(combined*exp(j*pi/4)/sqrt(Nd),'+')
title('Scatter');
ymax = abs(max(max(combined)));
axis([-ymax ymax -ymax ymax])
f = figure(4)
clf;
subplot(211)
plot(rx_phi_log)
subplot(212)
plot(rx_amp_log)
f = figure(5)
clf;
subplot(211)
plot(rx_timing_log)
title('rx timing');
subplot(212)
stem(ratio_log)
title('Sync ratio');
f = figure(6)
clf;
subplot(211)
stem(nerr_log)
title('Bit Errors');
subplot(212)
plot(noise_rms_filt_log,'r', sig_rms_log,'g');
title('Est rms signal and noise')
f = figure(7);
clf;
subplot(211)
plot(foff_log,';freq offset;');
hold on;
plot(f_est_log - Fcentre,'g;freq offset est;');
hold off;
title('freq offset');
legend("boxoff");
subplot(212)
plot(foff_log(1:length(f_est_log)) - f_est_log + Fcentre)
title('freq offset estimation error');
f = figure(8)
clf
h = freqz(b,a,Fs/2);
plot(20*log10(abs(h)))
axis([1 Fs/2 -20 0])
grid
title('SSB tx filter')
f = figure(9)
clf
plot(error_positions_hist)
title('histogram of bit errors')
end
% function to write C header file of noise samples so C version gives
% exactly the same results
function write_noise_file(uvnoise_log)
m = length(uvnoise_log);
filename = sprintf("../unittest/noise_samples.h");
f=fopen(filename,"wt");
fprintf(f,"/* unit variance complex noise samples */\n\n");
fprintf(f,"/* Generated by write_noise_file() Octave function */\n\n");
fprintf(f,"COMP noise[]={\n");
for r=1:m
if r < m
fprintf(f, " {%f,%f},\n", real(uvnoise_log(r)), imag(uvnoise_log(r)));
else
fprintf(f, " {%f,%f}\n};", real(uvnoise_log(r)), imag(uvnoise_log(r)));
end
end
fclose(f);
endfunction
% function to write float fading samples for use by C programs
%function write_noise_file(raw_file_name, Fs, dopplerSpreadHz, len_samples)
% spread = doppler_spread(dopplerSpreadHz, Fs, len_samples);
% spread_2ms = doppler_spread(dopplerSpreadHz, Fs, len_samples);
% hf_gain = 1.0/sqrt(var(spread)+var(spread_2ms));
%
% % interleave real imag samples
%
% inter = zeros(1,len_samples*4);
% inter(1:4) = hf_gain;
% for i=1:len_samples
% inter(i*4+1) = real(spread(i));
% inter(i*4+2) = imag(spread(i));
% inter(i*4+3) = real(spread_2ms(i));
% inter(i*4+4) = imag(spread_2ms(i));
% end
% f = fopen(raw_file_name,"wb");
% fwrite(f, inter, "float32");
% fclose(f);
%endfunction
third_party/codec2/octave/tfdmdv.m
Vendored
+307
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@@ -0,0 +1,307 @@
% tfdmdv.m
%
% Octave script that tests the C port of the FDMDV modem. This script loads
% the output of unittest/tfdmdv.c and compares it to the output of the
% reference versions of the same functions written in Octave.
%
% Usage:
%
% 1/ In codec2-dev/CMakeLists.txt, ensure set(CMAKE_BUILD_TYPE "Debug"), to
% enable building the C unittests. Build codec2-dev as per
% codec2-dev/README.
%
% 2/ Run the C side from the Octave directory:
%
% codec2-dev/octave$ ../build_linux/unittest/tfdmdv
% codec2-dev/octave$ ls -l tfdmdv_out.txt
% -rw-rw-r-- 1 david david 3419209 Aug 27 10:05 tfdmdv_out.txt
%
% 3/ Run the Octave side (this script):
%
% octave:1> tfdmdv
%
%
% Copyright David Rowe 2012
% This program is distributed under the terms of the GNU General Public License
% Version 2
%
more off
format
fdmdv; % load modem code
autotest; % automatic testing library
% init fdmdv modem states and load up a few constants in this scope for convenience
f = fdmdv_init;
Nc = f.Nc;
Nb = f.Nb;
M = f.M;
Fs = f.Fs;
P = f.P;
Q = f.Q;
% Generate reference vectors using Octave implementation of FDMDV modem
global passes = 0;
global fails = 0;
frames = 35;
prev_tx_symbols = ones(Nc+1,1); prev_tx_symbols(Nc+1) = 2;
prev_rx_symbols = ones(Nc+1,1);
foff_phase_rect = 1;
channel = [];
channel_count = 0;
next_nin = M;
sig_est = zeros(Nc+1,1);
noise_est = zeros(Nc+1,1);
sync = 0;
fest_state = 0;
fest_timer = 0;
sync_mem = zeros(1,f.Nsync_mem);
% Octave outputs we want to collect for comparison to C version
tx_bits_log = [];
tx_symbols_log = [];
tx_baseband_log = [];
tx_fdm_log = [];
pilot_baseband1_log = [];
pilot_baseband2_log = [];
pilot_lpf1_log = [];
pilot_lpf2_log = [];
S1_log = [];
S2_log = [];
foff_coarse_log = [];
foff_fine_log = [];
foff_log = [];
rx_fdm_filter_log = [];
rx_filt_log = [];
env_log = [];
rx_timing_log = [];
phase_difference_log = [];
rx_symbols_log = [];
rx_bits_log = [];
sync_bit_log = [];
sync_log = [];
nin_log = [];
sig_est_log = [];
noise_est_log = [];
% adjust this if the screen is getting a bit cluttered
global no_plot_list = [1 2 3 4 5 6 7 8 12 13 14 15 16];
for fr=1:frames
% modulator
[tx_bits f] = get_test_bits(f, Nc*Nb);
tx_bits_log = [tx_bits_log tx_bits];
[tx_symbols f] = bits_to_psk(f, prev_tx_symbols, tx_bits);
prev_tx_symbols = tx_symbols;
tx_symbols_log = [tx_symbols_log tx_symbols];
[tx_baseband f] = tx_filter(f, tx_symbols);
tx_baseband_log = [tx_baseband_log tx_baseband];
[tx_fdm f] = fdm_upconvert(f, tx_baseband);
tx_fdm_log = [tx_fdm_log tx_fdm];
% channel
nin = next_nin;
% nin = M; % when debugging good idea to uncomment this to "open loop"
channel = [channel real(tx_fdm)];
channel_count += M;
rx_fdm = channel(1:nin);
channel = channel(nin+1:channel_count);
channel_count -= nin;
% demodulator --------------------------------------------
% shift down to complex baseband
for i=1:nin
f.fbb_phase_rx = f.fbb_phase_rx*f.fbb_rect';
rx_fdm(i) = rx_fdm(i)*f.fbb_phase_rx;
end
mag = abs(f.fbb_phase_rx);
f.fbb_phase_rx /= mag;
% sync = 0; % when debugging good idea to uncomment this to "open loop"
[pilot prev_pilot f.pilot_lut_index f.prev_pilot_lut_index] = get_pilot(f, f.pilot_lut_index, f.prev_pilot_lut_index, nin);
[foff_coarse S1 S2 f] = rx_est_freq_offset(f, rx_fdm, pilot, prev_pilot, nin, !sync);
if sync == 0
foff = foff_coarse;
end
foff_coarse_log = [foff_coarse_log foff_coarse];
pilot_baseband1_log = [pilot_baseband1_log f.pilot_baseband1];
pilot_baseband2_log = [pilot_baseband2_log f.pilot_baseband2];
pilot_lpf1_log = [pilot_lpf1_log f.pilot_lpf1];
pilot_lpf2_log = [pilot_lpf2_log f.pilot_lpf2];
S1_log = [S1_log S1];
S2_log = [S2_log S2];
foff_rect = exp(j*2*pi*foff/Fs);
for i=1:nin
foff_phase_rect *= foff_rect';
rx_fdm_fcorr(i) = rx_fdm(i)*foff_phase_rect;
end
[rx_fdm_filter f] = rxdec_filter(f, rx_fdm_fcorr, nin);
[rx_filt f] = down_convert_and_rx_filter(f, rx_fdm_filter, nin, M/Q);
#{
for i=1:5
printf("[%d] rx_fdm_fcorr: %f %f rx_fdm_filter: %f %f\n", i,
real(rx_fdm_fcorr(i)), imag(rx_fdm_fcorr(i)), real(rx_fdm_filter(i)), imag(rx_fdm_filter(i)));
end
for i=1:5
printf("[%d] rx_fdm_fcorr: %f %f rxdec_lpf_mem: %f %f\n", i,
real(rx_fdm_fcorr(i)), imag(rx_fdm_fcorr(i)), real(f.rxdec_lpf_mem(i)), imag(f.rxdec_lpf_mem(i)));
end
#}
rx_filt_log = [rx_filt_log rx_filt];
rx_fdm_filter_log = [rx_fdm_filter_log rx_fdm_filter];
[rx_symbols rx_timing env f] = rx_est_timing(f, rx_filt, nin);
env_log = [env_log env];
rx_timing_log = [rx_timing_log rx_timing];
rx_symbols_log = [rx_symbols_log rx_symbols];
next_nin = M;
if rx_timing > 2*M/P
next_nin += M/P;
end
if rx_timing < 0;
next_nin -= M/P;
end
nin_log = [nin_log nin];
[rx_bits sync_bit foff_fine pd] = psk_to_bits(f, prev_rx_symbols, rx_symbols, 'dqpsk');
phase_difference_log = [phase_difference_log pd];
foff_fine_log = [foff_fine_log foff_fine];
foff -= 0.5*foff_fine;
foff_log = [foff_log foff];
[sig_est noise_est] = snr_update(f, sig_est, noise_est, pd);
sig_est_log = [sig_est_log sig_est];
noise_est_log = [noise_est_log noise_est];
prev_rx_symbols = rx_symbols;
rx_bits_log = [rx_bits_log rx_bits];
sync_bit_log = [sync_bit_log sync_bit];
% freq est state machine
[sync reliable_sync_bit fest_state fest_timer sync_mem] = freq_state(f, sync_bit, fest_state, fest_timer, sync_mem);
sync_log = [sync_log sync];
end
% Compare to the output from the C version
load tfdmdv_out.txt
% ---------------------------------------------------------------------------------------
% Plot output and test each C function
% ---------------------------------------------------------------------------------------
% fdmdv_get_test_bits() & bits_to_dqpsk_symbols()
n = 28;
stem_sig_and_error(1, 211, tx_bits_log_c(1:n), tx_bits_log(1:n) - tx_bits_log_c(1:n), 'tx bits', [1 n -1.5 1.5])
stem_sig_and_error(1, 212, real(tx_symbols_log_c(1:n/2)), real(tx_symbols_log(1:n/2) - tx_symbols_log_c(1:n/2)), 'tx symbols real', [1 n/2 -1.5 1.5])
% fdm_upconvert()
plot_sig_and_error(3, 211, real(tx_fdm_log_c), real(tx_fdm_log - tx_fdm_log_c), 'tx fdm real')
plot_sig_and_error(3, 212, imag(tx_fdm_log_c), imag(tx_fdm_log - tx_fdm_log_c), 'tx fdm imag')
% generate_pilot_lut()
plot_sig_and_error(4, 211, real(pilot_lut_c), real(f.pilot_lut - pilot_lut_c), 'pilot lut real')
plot_sig_and_error(4, 212, imag(pilot_lut_c), imag(f.pilot_lut - pilot_lut_c), 'pilot lut imag')
% rx_est_freq_offset()
st=1; en = 5*f.Npilotbaseband;
plot_sig_and_error(5, 211, real(pilot_baseband1_log(st:en)), real(pilot_baseband1_log(st:en) - pilot_baseband1_log_c(st:en)), 'pilot baseband1 real' )
plot_sig_and_error(5, 212, real(pilot_baseband2_log(st:en)), real(pilot_baseband2_log(st:en) - pilot_baseband2_log_c(st:en)), 'pilot baseband2 real' )
st=1; en = 5*f.Npilotlpf;
plot_sig_and_error(6, 211, real(pilot_lpf1_log(st:en)), real(pilot_lpf1_log(st:en) - pilot_lpf1_log_c(st:en)), 'pilot lpf1 real' )
plot_sig_and_error(6, 212, real(pilot_lpf2_log(st:en)), real(pilot_lpf2_log(st:en) - pilot_lpf2_log_c(st:en)), 'pilot lpf2 real' )
plot_sig_and_error(7, 211, real(S1_log), real(S1_log - S1_log_c), 'S1 real' )
plot_sig_and_error(7, 212, imag(S1_log), imag(S1_log - S1_log_c), 'S1 imag' )
plot_sig_and_error(8, 211, real(S2_log), real(S2_log - S2_log_c), 'S2 real' )
plot_sig_and_error(8, 212, imag(S2_log), imag(S2_log - S2_log_c), 'S2 imag' )
plot_sig_and_error(9, 211, foff_coarse_log, foff_coarse_log - foff_coarse_log_c, 'Coarse Freq Offset' )
plot_sig_and_error(9, 212, foff_fine_log, foff_fine_log - foff_fine_log_c, 'Fine Freq Offset' )
plot_sig_and_error(10, 211, foff_log, foff_log - foff_log_c, 'Freq Offset' )
plot_sig_and_error(10, 212, sync_log, sync_log - sync_log_c, 'Sync & Freq Est Coarse(0) Fine(1)', [1 frames -1.5 1.5] )
plot_sig_and_error(11, 211, real(rx_fdm_filter_log), real(rx_fdm_filter_log - rx_fdm_filter_log_c), 'Rx dec filter real' )
plot_sig_and_error(11, 212, imag(rx_fdm_filter_log), imag(rx_fdm_filter_log - rx_fdm_filter_log_c), 'Rx dec filter imag' )
c=1;
plot_sig_and_error(12, 211, real(rx_filt_log(c,:)), real(rx_filt_log(c,:) - rx_filt_log_c(c,:)), 'Rx filt real' )
plot_sig_and_error(12, 212, imag(rx_filt_log(c,:)), imag(rx_filt_log(c,:) - rx_filt_log_c(c,:)), 'Rx filt imag' )
st=1*28;
en = 3*28;
plot_sig_and_error(14, 211, rx_timing_log, rx_timing_log - rx_timing_log_c, 'Rx Timing' )
stem_sig_and_error(14, 212, sync_bit_log_c, sync_bit_log - sync_bit_log_c, 'Sync bit', [1 n -1.5 1.5])
stem_sig_and_error(15, 211, rx_bits_log_c(st:en), rx_bits_log(st:en) - rx_bits_log_c(st:en), 'RX bits', [1 en-st -1.5 1.5])
stem_sig_and_error(15, 212, nin_log_c, nin_log - nin_log_c, 'nin')
c = 12;
plot_sig_and_error(16, 211, sig_est_log(c,:), sig_est_log(c,:) - sig_est_log_c(c,:), 'sig est for SNR' )
plot_sig_and_error(16, 212, noise_est_log(c,:), noise_est_log(c,:) - noise_est_log_c(c,:), 'noise est for SNR' )
fr=12;
stem_sig_and_error(13, 211, real(rx_symbols_log(:,fr)), real(rx_symbols_log(:,fr) - rx_symbols_log_c(:,fr)), 'rx symbols real' )
stem_sig_and_error(13, 212, imag(rx_symbols_log(:,fr)), imag(rx_symbols_log(:,fr) - rx_symbols_log_c(:,fr)), 'rx symbols imag' )
stem_sig_and_error(17, 211, real(phase_difference_log(:,fr)), real(phase_difference_log(:,fr) - phase_difference_log_c(:,fr)), 'phase difference real' )
stem_sig_and_error(17, 212, imag(phase_difference_log(:,fr)), imag(phase_difference_log(:,fr) - phase_difference_log_c(:,fr)), 'phase difference imag' )
check(tx_bits_log, tx_bits_log_c, 'tx_bits');
check(tx_symbols_log, tx_symbols_log_c, 'tx_symbols');
check(tx_fdm_log, tx_fdm_log_c, 'tx_fdm');
check(f.pilot_lut, pilot_lut_c, 'pilot_lut');
check(f.pilot_coeff, pilot_coeff_c, 'pilot_coeff');
check(pilot_baseband1_log, pilot_baseband1_log_c, 'pilot lpf1');
check(pilot_baseband2_log, pilot_baseband2_log_c, 'pilot lpf2');
check(S1_log, S1_log_c, 'S1');
check(S2_log, S2_log_c, 'S2');
check(foff_coarse_log, foff_coarse_log_c, 'foff_coarse');
check(foff_fine_log, foff_fine_log_c, 'foff_fine');
check(foff_log, foff_log_c, 'foff');
check(rx_fdm_filter_log, rx_fdm_filter_log_c, 'rxdec filter');
check(rx_filt_log, rx_filt_log_c, 'rx filt', 2E-3);
check(env_log, env_log_c, 'env');
check(rx_timing_log, rx_timing_log_c, 'rx_timing');
check(rx_symbols_log, rx_symbols_log_c, 'rx_symbols', 2E-3);
check(rx_bits_log, rx_bits_log_c, 'rx bits');
check(sync_bit_log, sync_bit_log_c, 'sync bit');
check(sync_log, sync_log_c, 'sync');
check(nin_log, nin_log_c, 'nin');
check(sig_est_log, sig_est_log_c, 'sig_est');
check(noise_est_log, noise_est_log_c, 'noise_est');
printf("\npasses: %d fails: %d\n", passes, fails);
third_party/codec2/octave/tfmfsk.m
Vendored
+497
View File
@@ -0,0 +1,497 @@
% tfsk.m
% Author: Brady O'Brien 8 February 2016
% Copyright 2016 David Rowe
%
% All rights reserved.
%
% This program is free software; you can redistribute it and/or modify
% it under the terms of the GNU Lesser General Public License version 2.1, as
% published by the Free Software Foundation. This program is
% distributed in the hope that it will be useful, but WITHOUT ANY
% WARRANTY; without even the implied warranty of MERCHANTABILITY or
% FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
% License for more details.
%
% You should have received a copy of the GNU Lesser General Public License
% along with this program; if not, see <http://www.gnu.org/licenses/>.
% Octave script to check c port of mancyfsk/fmfsk against the fmfsk.m
%
#{
FMFSK Modem automated test instructions:
1. Use cmake to build in debug mode to ensure unittest/tfsk is built:
$ cd ~/codec2
$ rm -Rf build_linux && mkdir build_linux
$ cd build_linux
$ cmake -DCMAKE_BUILD_TYPE=Debug ..
$ make
2 - Change tfsk_location below if required
3 - Ensure Octave packages signal and parallel are installed
4 - Start Octave and run tfsk.m. It will perform all tests automatically
#}
%tfsk executable path/file
global tfsk_location = '../build_linux/unittest/tfmfsk';
%Set to 1 for verbose printouts
global print_verbose = 0;
fmfsk
pkg load signal;
pkg load parallel;
graphics_toolkit('gnuplot');
global mod_pass_fail_maxdiff = 1e-3/5000;
function mod = fmfsk_mod_c(Fs,Rs,bits)
global tfsk_location;
%command to be run by system to launch the modulator
command = sprintf('%s M %d %d fsk_mod_ut_bitvec fsk_mod_ut_modvec fmfsk_mod_ut_log.txt',tfsk_location,Fs,Rs);
%save input bits into a file
bitvecfile = fopen('fsk_mod_ut_bitvec','wb+');
fwrite(bitvecfile,bits,'uint8');
fclose(bitvecfile);
%run the modulator
system(command);
modvecfile = fopen('fsk_mod_ut_modvec','rb');
mod = fread(modvecfile,'single');
fclose(modvecfile);
endfunction
%Compare 2 vectors, fail if they are not close enough
function pass = vcompare(vc,voct,vname,tname,tol,pnum)
global print_verbose;
%Get delta of vectors
dvec = abs(abs(vc)-abs(voct));
%Normalize difference
dvec = dvec ./ abs(max(abs(voct))+1e-8);
maxdvec = abs(max(dvec));
pass = maxdvec<tol;
if print_verbose == 1
printf(' Comparing vectors %s in test %s. Diff is %f\n',vname,tname,maxdvec);
end
if pass == 0
printf('\n*** vcompare failed %s in test %s. Diff: %f Tol: %f\n\n',vname,tname,maxdvec,tol);
titlestr = sprintf('Diff between C and Octave of %s for %s',vname,tname)
figure(10+pnum*2)
plot(abs(dvec))
title(titlestr)
figure(11+pnum*2)
plot((1:length(vc)),abs(vc),(1:length(voct)),abs(voct))
end
endfunction
function test_stats = fmfsk_demod_xt(Fs,Rs,mod,tname,M=2)
global tfsk_location;
%Name of executable containing the modulator
modvecfilename = sprintf('fmfsk_demod_ut_modvec_%d',getpid());
bitvecfilename = sprintf('fmfsk_demod_ut_bitvec_%d',getpid());
tvecfilename = sprintf('fmfsk_demod_ut_tracevec_%d.txt',getpid());
%command to be run by system to launch the demod
command = sprintf('%s D %d %d %s %s %s',tfsk_location,Fs,Rs,modvecfilename,bitvecfilename,tvecfilename);
%save modulated input into a file
modvecfile = fopen(modvecfilename,'wb+');
fwrite(modvecfile,mod,'single');
fclose(modvecfile);
%run the modulator
system(command);
bitvecfile = fopen(bitvecfilename,'rb');
bits = fread(bitvecfile,'uint8');
fclose(bitvecfile);
bits = bits!=0;
%Load test vec dump
load(tvecfilename);
%Clean up files
delete(bitvecfilename);
delete(modvecfilename);
delete(tvecfilename);
o_norm_rx_timing = [];
o_symsamp = [];
o_rx_filt = [];
%Run octave demod, dump some test vectors
states = fmfsk_init(Fs,Rs);
Ts = states.Ts;
modin = mod;
obits = [];
while length(modin)>=states.nin
ninold = states.nin;
[bitbuf,states] = fmfsk_demod(states, modin(1:states.nin));
modin=modin(ninold+1:length(modin));
obits = [obits bitbuf];
o_norm_rx_timing = [o_norm_rx_timing states.norm_rx_timing];
o_symsamp = [o_symsamp states.symsamp];
o_rx_filt = [o_rx_filt states.rx_filt];
end
close all
pass = 1;
% One part-per-thousand allowed on important parameters
pass = vcompare(t_rx_filt,o_rx_filt,'rx filt',tname,.001,8) && pass;
pass = vcompare(t_norm_rx_timing,o_norm_rx_timing,'norm rx timing',tname,.001,9) && pass;
pass = vcompare(t_symsamp,o_symsamp,'symsamp',tname,.001,10) && pass;
assert(pass);
diffpass = sum(xor(obits,bits'))<4;
diffbits = sum(xor(obits,bits'));
if diffpass==0
printf('\n***bitcompare test failed test %s diff %d\n\n',tname,sum(xor(obits,bits')))
figure(15)
plot(xor(obits,bits'))
title(sprintf('Bitcompare failure test %s',tname))
end
pass = pass && diffpass;
test_stats.pass = pass;
test_stats.diff = sum(xor(obits,bits'));
test_stats.cbits = bits';
test_stats.obits = obits;
endfunction
function [dmod,cmod,omod,pass] = fmfsk_mod_test(Fs,Rs,bits,tname,M=2)
global mod_pass_fail_maxdiff;
%Run the C modulator
cmod = fmfsk_mod_c(Fs,Rs,bits);
%Set up and run the octave modulator
states.M = M;
states = fmfsk_init(Fs,Rs);
omod = fmfsk_mod(states,bits)';
dmod = cmod-omod;
pass = max(dmod)<(mod_pass_fail_maxdiff*length(dmod));
if !pass
printf('Mod failed test %s!\n',tname);
end
endfunction
% Random bit modulator test
% Pass random bits through the modulators and compare
function pass = test_mod_fdvbcfg_randbits
rand('state',1);
randn('state',1);
bits = rand(1,19200)>.5;
[dmod,cmod,omod,pass] = fmfsk_mod_test(48000,2400,bits,"mod fdvbcfg randbits");
if(!pass)
figure(1)
plot(dmod)
title("Difference between octave and C mod impl");
end
endfunction
% run_sim copypasted from fsk_horus.m
% simulation of tx and rx side, add noise, channel impairments ----------------------
function stats = tfmfsk_run_sim(EbNodB,timing_offset=0,de=0,of=0,hpf=0,df=0,M=2)
global print_verbose;
test_frame_mode = 2;
frames = 70;
%EbNodB = 3;
%timing_offset = 0.0; % see resample() for clock offset below
%fading = 0; % modulates tx power at 2Hz with 20dB fade depth,
% to simulate balloon rotating at end of mission
more off
rand('state',1);
randn('state',1);
Fs = 48000;
Rbit = 2400;
% ----------------------------------------------------------------------
fm_states.pre_emp = 0;
fm_states.de_emp = de;
fm_states.Ts = Fs/(Rbit*2);
fm_states.Fs = Fs;
fm_states.fc = Fs/4;
fm_states.fm_max = 3E3;
fm_states.fd = 5E3;
fm_states.output_filter = of;
fm_states = analog_fm_init(fm_states);
% ----------------------------------------------------------------------
states = fmfsk_init(Fs,Rbit);
states.verbose = 0x1;
Rs = states.Rs;
nsym = states.nsym;
Fs = states.Fs;
nbit = states.nbit;
EbNo = 10^(EbNodB/10);
variance = states.Fs/(states.Rb*EbNo);
% set up tx signal with payload bits based on test mode
if test_frame_mode == 1
% test frame of bits, which we repeat for convenience when BER testing
test_frame = round(rand(1, states.nbit));
tx_bits = [];
for i=1:frames+1
tx_bits = [tx_bits test_frame];
end
end
if test_frame_mode == 2
% random bits, just to make sure sync algs work on random data
tx_bits = round(rand(1, states.nbit*(frames+1)));
end
if test_frame_mode == 3
% repeating sequence of all symbols
% great for initial test of demod if nothing else works,
% look for this pattern in rx_bits
% ...10101...
tx_bits = zeros(1, states.nbit*(frames+1));
tx_bits(1:2:length(tx_bits)) = 1;
end
[b, a] = cheby1(4, 1, 300/Fs, 'high'); % 300Hz HPF to simulate FM radios
tx_pmod = fmfsk_mod(states, tx_bits);
tx = analog_fm_mod(fm_states, tx_pmod);
if(timing_offset>0)
tx = resample(tx, 2000, 1999); % simulated 1000ppm sample clock offset
end
%Add frequency drift
fdrift = df/Fs;
fshift = 2*pi*fdrift*(1:length(tx));
fshift = exp(j*(fshift.^2));
tx = tx.*fshift;
noise = sqrt(variance)*randn(length(tx),1);
rx = tx + noise';
%Demod by analog fm
rx = analog_fm_demod(fm_states, rx);
%High-pass filter to simulate the FM radios
if hpf>0
rx = filter(b,a,rx);
end
timing_offset_samples = round(timing_offset*states.Ts);
st = 1 + timing_offset_samples;
rx_bits_buf = zeros(1,2*nbit);
test_name = sprintf("tfmfsk run sim EbNodB:%d frames:%d timing_offset:%d df:%d",EbNodB,frames,timing_offset,df);
tstats = fmfsk_demod_xt(Fs,Rbit,rx',test_name,M);
pass = tstats.pass;
obits = tstats.obits;
cbits = tstats.cbits;
% Figure out BER of octave and C modems
bitcnt = length(tx_bits);
rx_bits = obits;
ber = 1;
ox = 1;
for offset = (1:400)
nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
bern = nerr/(bitcnt-offset);
if(bern < ber)
ox = offset;
best_nerr = nerr;
end
ber = min([ber bern]);
end
offset = ox;
bero = ber;
ber = 1;
rx_bits = cbits;
ox = 1;
for offset = (1:400)
nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
bern = nerr/(bitcnt-offset);
if(bern < ber)
ox = offset;
best_nerr = nerr;
end
ber = min([ber bern]);
end
offset = ox;
berc = ber;
if print_verbose == 1
printf("C BER %f in test %s\n",berc,test_name);
printf("Oct BER %f in test %s\n",bero,test_name);
end
stats.berc = berc;
stats.bero = bero;
stats.name = test_name;
% non-coherent BER theory calculation
% It was complicated, so I broke it up
ms = 2;
ns = (1:ms-1);
as = (-1).^(ns+1);
bs = (as./(ns+1));
cs = ((ms-1)./ns);
ds = ns.*log2(ms);
es = ns+1;
fs = exp( -(ds./es)*EbNo );
thrncoh = ((ms/2)/(ms-1)) * sum(bs.*((ms-1)./ns).*exp( -(ds./es)*EbNo ));
stats.thrncoh = thrncoh;
stats.pass = pass;
endfunction
function pass = ebno_battery_test(timing_offset,drift,hpf,deemp,outfilt)
global print_verbose;
%Range of EbNodB over which to test
ebnodbrange = (8:2:20);
ebnodbs = length(ebnodbrange);
%Replication of other parameters for parcellfun
timingv = repmat(timing_offset ,1,ebnodbs);
driftv = repmat(drift ,1,ebnodbs);
hpfv = repmat(hpf ,1,ebnodbs);
deempv = repmat(deemp ,1,ebnodbs);
outfv = repmat(outfilt ,1,ebnodbs);
statv = pararrayfun(floor(.75*nproc()),@tfmfsk_run_sim,ebnodbrange,timingv,deempv,outfv,hpfv,driftv);
%statv = arrayfun(@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,dav,mv);
passv = zeros(1,length(statv));
for ii=(1:length(statv))
passv(ii)=statv(ii).pass;
if statv(ii).pass
printf("Test %s passed\n",statv(ii).name);
else
printf("Test %s failed\n",statv(ii).name);
end
end
%All pass flags are '1'
pass = sum(passv)>=length(passv);
%and no tests died
pass = pass && length(passv)==ebnodbs;
passv;
assert(pass)
endfunction
%Test with and without sample clock offset
function pass = test_timing_var(drift,hpf,deemp,outfilt)
pass = ebno_battery_test(1,drift,hpf,deemp,outfilt)
assert(pass)
pass = ebno_battery_test(0,drift,hpf,deemp,outfilt)
assert(pass)
endfunction
%Test with and without 1 Hz/S freq drift
function pass = test_drift_var(hpf,deemp,outfilt)
pass = test_timing_var(1,hpf,deemp,outfilt)
assert(pass)
pass = pass && test_timing_var(0,hpf,deemp,outfilt)
assert(pass)
endfunction
function pass = test_fmfsk_battery()
pass = test_mod_fdvbcfg_randbits;
assert(pass)
pass = pass && test_drift_var(1,1,1);
assert(pass)
if pass
printf("***** All tests passed! *****\n");
end
endfunction
function plot_fmfsk_bers(M=2)
%Range of EbNodB over which to test
ebnodbrange = (8:14);
ebnodbs = length(ebnodbrange);
%Replication of other parameters for parcellfun
%Turn on all of the impairments
timingv = repmat(1 ,1,ebnodbs);
driftv = repmat(1 ,1,ebnodbs);
hpfv = repmat(1 ,1,ebnodbs);
deempv = repmat(1 ,1,ebnodbs);
outfv = repmat(1 ,1,ebnodbs);
statv = pararrayfun(nproc(),@tfmfsk_run_sim,ebnodbrange,timingv,deempv,outfv,hpfv,driftv);
%statv = arrayfun(@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,dav,Mv);
for ii = (1:length(statv))
stat = statv(ii);
berc(ii)=stat.berc;
bero(ii)=stat.bero;
berinc(ii)=stat.thrncoh;
end
clf;
figure(M)
semilogy(ebnodbrange, berinc,sprintf('r;2FSK non-coherent theory;',M))
hold on;
semilogy(ebnodbrange, bero ,sprintf('g;Octave ME-FM-FSK Demod;',M))
semilogy(ebnodbrange, berc,sprintf('v;C ME-FM-FSK Demod;',M))
hold off;
grid("minor");
axis([min(ebnodbrange) max(ebnodbrange) 1E-5 1])
legend("boxoff");
xlabel("Eb/No (dB)");
ylabel("Bit Error Rate (BER)")
endfunction
xpass = test_fmfsk_battery
plot_fmfsk_bers(2)
if xpass
printf("***** All tests passed! *****\n");
else
printf("***** Some test failed! Look back through output to find failed test *****\n");
end
third_party/codec2/octave/tfsk.m
Vendored
+611
View File
@@ -0,0 +1,611 @@
% tfsk.m
% Brady O'Brien 8 January 2016
% David Rowe May 2020
%
% Automatic testing of C port of FSK modem by comparing to reference
% Octave version. Currently just a subset of tests enabled in order to
% run in a reasonable amount of time as ctests, but still trapping any
% bit-rot.
#{
FSK Modem automated test instructions:
1. Use cmake to build in debug mode to ensure unittest/tfsk is built:
$ cd ~/codec2
$ rm -Rf build_linux && mkdir build_linux
$ cd build_linux
$ cmake -DCMAKE_BUILD_TYPE=Debug ..
$ make
2 - Change tfsk_location below if required
3 - Ensure Octave packages are installed
4 - Start Octave and run tfsk.m. It will perform all tests automatically
#}
% tfsk executable path/file
if getenv("PATH_TO_TFSK")
global tfsk_location = getenv("PATH_TO_TFSK")
printf("setting tfsk_location from env var: %s\n", getenv("PATH_TO_TFSK"));
else
global tfsk_location = '../build_linux/unittest/tfsk';
end
% Set to 1 for verbose printouts
global print_verbose = 0;
global mod_pass_fail_maxdiff = 1e-3/5000;
fsk_horus_as_a_lib=1;
fsk_horus;
pkg load signal;
% not needed unless parallel tests running
%pkg load parallel;
graphics_toolkit('gnuplot');
function print_result(test_name, result)
printf("%s", test_name);
for i=1:(40-length(test_name))
printf(".");
end
printf(": %s\n", result);
end
function mod = fsk_mod_c(Fs,Rs,f1,fsp,bits,M)
global tfsk_location;
%command to be run by system to launch the modulator
command = sprintf('%s M %d %d %d %d %d 0 fsk_mod_ut_bitvec fsk_mod_ut_modvec fsk_mod_ut_log.txt',tfsk_location,M,f1,fsp,Fs,Rs);
%save input bits into a file
bitvecfile = fopen('fsk_mod_ut_bitvec','wb+');
fwrite(bitvecfile,bits,'uint8');
fclose(bitvecfile);
%run the modulator
system(command);
modvecfile = fopen('fsk_mod_ut_modvec','rb');
mod = fread(modvecfile,'single');
fclose(modvecfile);
endfunction
%Compare 2 vectors, fail if they are not close enough
function pass = vcompare(vc,voct,vname,tname,tol,pnum)
global print_verbose;
%Get delta of vectors
dvec = abs(abs(vc - voct));
%Normalize difference
dvec = dvec ./ abs(max(abs(voct))+1e-8);
maxdvec = abs(max(dvec));
pass = maxdvec<tol;
if print_verbose == 1
printf(' Comparing vectors %s in test %s. Diff is %f\n',vname,tname,maxdvec);
end
if pass == 0
printf('\n*** vcompare failed %s in test %s. Diff: %f Tol: %f\n\n',vname,tname,maxdvec,tol);
titlestr = sprintf('Diff between C and Octave of %s for %s',vname,tname)
figure(10+pnum*2)
plot(abs(dvec))
title(titlestr)
figure(11+pnum*2)
plot((1:length(vc)),abs(vc),(1:length(voct)),abs(voct))
end
endfunction
% Run C, then Octave version of demod, and compare results
function test_stats = fsk_demod_xt(Fs,Rs,f1,fsp,mod,tname,M=2,lock_nin=0)
global print_verbose;
global tfsk_location;
%Name of executable containing the modulator
fsk_demod_ex_file = '../build/unittest/tfsk';
modvecfilename = sprintf('fsk_demod_ut_modvec_%d',getpid());
bitvecfilename = sprintf('fsk_demod_ut_bitvec_%d',getpid());
tvecfilename = sprintf('fsk_demod_ut_tracevec_%d.txt',getpid());
%command to be run by system to launch the demod
command = sprintf('%s D %d %d %d %d %d %d %s %s %s',tfsk_location,M,f1,fsp,Fs,Rs,lock_nin,modvecfilename,bitvecfilename,tvecfilename);
%save modulated input into a file
modvecfile = fopen(modvecfilename,'wb+');
fwrite(modvecfile,mod,'single');
fclose(modvecfile);
%run the modulator
system(command);
bitvecfile = fopen(bitvecfilename,'rb');
bits = fread(bitvecfile,'uint8');
fclose(bitvecfile);
bits = bits!=0;
%Load test vec dump
load(tvecfilename)
%Clean up files
delete(bitvecfilename);
delete(modvecfilename);
delete(tvecfilename);
o_f1_dc = [];
o_f2_dc = [];
o_f3_dc = [];
o_f4_dc = [];
o_f1_int = [];
o_f2_int = [];
o_f3_int = [];
o_f4_int = [];
o_f1 = [];
o_f2 = [];
o_f3 = [];
o_f4 = [];
o_EbNodB = [];
o_ppm = [];
o_Sf = [];
o_fest = []; o_mask = []; o_fest2 = [];
o_rx_timing = [];
o_norm_rx_timing = [];
o_nin = [];
%Run octave demod, dump some test vectors
states = fsk_horus_init(Fs,Rs,M);
Ts = states.Ts;
P = states.P;
states.ftx(1) = f1;
states.ftx(2) = f1+fsp;
states.ftx(3) = f1+fsp*2;
states.ftx(4) = f1+fsp*3;
states.tx_tone_separation = fsp;
states.dF = 0;
modin = mod;
obits = [];
while length(modin)>=states.nin
ninold = states.nin;
states = est_freq(states, modin(1:states.nin), states.M);
[bitbuf,states] = fsk_demod(states, modin(1:states.nin));
if lock_nin states.nin = states.N; end
modin=modin(ninold+1:length(modin));
obits = [obits bitbuf];
%Save other parameters
o_f1_dc = [o_f1_dc states.f_dc(1,:)];
o_f2_dc = [o_f2_dc states.f_dc(2,:)];
o_f1_int = [o_f1_int states.f_int(1,:)];
o_f2_int = [o_f2_int states.f_int(2,:)];
o_EbNodB = [o_EbNodB states.EbNodB];
o_ppm = [o_ppm states.ppm];
o_rx_timing = [o_rx_timing states.rx_timing];
o_norm_rx_timing = [o_norm_rx_timing states.norm_rx_timing];
o_Sf = [o_Sf states.Sf'];
o_f1 = [o_f1 states.f(1)];
o_f2 = [o_f1 states.f(2)];
o_fest = [o_fest states.f];
o_mask = [o_mask states.mask];
o_fest2 = [o_fest2 states.f2];
o_nin = [o_nin states.nin];
if M==4
o_f3_dc = [o_f3_dc states.f_dc(3,:)];
o_f4_dc = [o_f4_dc states.f_dc(4,:)];
o_f3_int = [o_f3_int states.f_int(3,:)];
o_f4_int = [o_f4_int states.f_int(4,:)];
o_f3 = [o_f1 states.f(3)];
o_f4 = [o_f1 states.f(4)];
end
end
assert(vcompare(o_Sf, t_Sf,'fft est',tname,.001,1));
assert(vcompare(o_fest, t_f_est,'f est',tname,.001,2));
assert(vcompare(o_mask, t_mask,'f2 mask',tname,.001,3));
assert(vcompare(o_fest2, t_f2_est,'f2 est',tname,.001,16));
o_fest2(1:12)
t_f2_est(1:12)
assert(vcompare(o_f1_dc, t_f1_dc, 'f1 dc', tname,.01,8));
assert(vcompare(o_f2_dc, t_f2_dc, 'f2 dc', tname,.01,9));
assert(vcompare(o_f2_int, t_f2_int, 'f2 int', tname,.01,10));
assert(vcompare(o_f1_int, t_f1_int, 'f1 int', tname,.01,11));
if M==4
assert(vcompare(o_f3_dc, t_f3_dc, 'f3 dc', tname,.01,4))
assert(vcompare(o_f4_dc, t_f4_dc, 'f4 dc', tname,.01,5));
assert(vcompare(o_f3_int, t_f3_int, 'f3 int', tname,.01,6));
assert(vcompare(o_f4_int, t_f4_int, 'f4 int', tname,.01,7));
end
assert(vcompare(o_rx_timing, t_rx_timing,'rx timing',tname,.02,3));
% Much larger tolerances on unimportant statistics
assert(vcompare(o_ppm , t_ppm, 'ppm', tname,.02,12));
assert(vcompare(o_EbNodB, t_EbNodB,'EbNodB', tname,.02,13));
assert(vcompare(o_nin, t_nin, 'nin', tname,.0001,14));
assert(vcompare(o_norm_rx_timing, t_norm_rx_timing,'norm rx timing',tname,.02,15));
diffpass = sum(xor(obits,bits'))<4;
diffbits = sum(xor(obits,bits'));
if diffpass==0
printf('\n***bitcompare test failed test %s diff %d\n\n',tname,sum(xor(obits,bits')))
figure(15)
plot(xor(obits,bits'))
title(sprintf('Bitcompare failure test %s',tname))
end
assert(diffpass);
test_stats.pass = 1;
test_stats.diff = sum(xor(obits,bits'));
test_stats.cbits = bits';
test_stats.obits = obits;
endfunction
function [dmod,cmod,omod,pass] = fsk_mod_test(Fs,Rs,f1,fsp,bits,tname,M=2)
global mod_pass_fail_maxdiff;
%Run the C modulator
cmod = fsk_mod_c(Fs,Rs,f1,fsp,bits,M);
%Set up and run the octave modulator
states.M = M;
states = fsk_horus_init(Fs,Rs,M);
states.ftx(1) = f1;
states.ftx(2) = f1+fsp;
if states.M == 4
states.ftx(3) = f1+fsp*2;
states.ftx(4) = f1+fsp*3;
end
states.dF = 0;
omod = fsk_mod(states,bits);
dmod = cmod-omod;
pass = max(dmod)<(mod_pass_fail_maxdiff*length(dmod));
if !pass
printf('Mod failed test %s!\n',tname);
end
endfunction
% Random bit modulator test
% Pass random bits through the modulators and compare
function pass = test_mod_horuscfg_randbits
rand('state',1);
randn('state',1);
bits = rand(1,10000)>.5;
[dmod,cmod,omod,pass] = fsk_mod_test(8000,100,1200,1600,bits,"mod horuscfg randbits");
if(!pass)
figure(1)
plot(dmod)
title("Difference between octave and C mod impl");
end
print_result("test_mod_horuscfg_randbits", "OK");
endfunction
% Random bit modulator test
% Pass random bits through the modulators and compare
function pass = test_mod_horuscfgm4_randbits
rand('state',1);
randn('state',1);
bits = rand(1,10000)>.5;
[dmod,cmod,omod,pass] = fsk_mod_test(8000,100,1200,1600,bits,"mod horuscfg randbits",4);
if(!pass)
figure(1)
plot(dmod)
title("Difference between octave and C mod impl");
end
print_result("test_mod_horuscfgm4_randbits", "OK");
endfunction
% A big ol' channel impairment tester shamelessly taken from fsk_horus
% This throws some channel imparment or another at the C and octave
% modem so they may be compared.
function stats = tfsk_run_sim(test_frame_mode,EbNodB,timing_offset,fading,df,M=2,frames=50,lock_nin=0)
#{
timing_offset [0|1] enable a 1000ppm sample clock offset
fading [0|1] modulates tx power at 2Hz with 20dB fade depth,
e.g. to simulate balloon rotating at end of mission
df tx tone freq drift in Hz/s
lock_nin [0|1] locks nin to a constant which makes tests much simpler by breaking feedback loop
#}
global print_verbose;
more off
rand('state',1);
randn('state',1);
% ----------------------------------------------------------------------
% sm2000 config ------------------------
%states = fsk_horus_init(96000, 1200);
%states.f1_tx = 4000;
%states.f2_tx = 5200;
if test_frame_mode == 2
% horus rtty config ---------------------
states = fsk_horus_init(8000, 100, M);
states.f1_tx = 1200;
states.f2_tx = 1600;
end
if test_frame_mode == 4
% horus rtty config ---------------------
states = fsk_horus_init(8000, 100, M);
states.f1_tx = 1200;
states.f2_tx = 1600;
states.tx_bits_file = "horus_tx_bits_rtty.txt"; % Octave file of bits we FSK modulate
end
if test_frame_mode == 5
% horus binary config ---------------------
states = fsk_horus_init(8000, 100, M);
states.f1_tx = 1200;
states.f2_tx = 1600;
%%%states.tx_bits_file = "horus_tx_bits_binary.txt"; % Octave file of bits we FSK modulate
states.tx_bits_file = "horus_payload_rtty.txt";
end
% ----------------------------------------------------------------------
states.verbose = 0;
N = states.N;
P = states.P;
Rs = states.Rs;
nsym = states.nsym;
Fs = states.Fs;
states.df = df;
states.M = M;
EbNo = 10^(EbNodB/10);
variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
% set up tx signal with payload bits based on test mode
if test_frame_mode == 1
% test frame of bits, which we repeat for convenience when BER testing
test_frame = round(rand(1, states.nsym));
tx_bits = [];
for i=1:frames+1
tx_bits = [tx_bits test_frame];
end
end
if test_frame_mode == 2
% random bits, just to make sure sync algs work on random data
tx_bits = round(rand(1, states.nbit*(frames+1)));
end
if test_frame_mode == 3
% ...10101... sequence
tx_bits = zeros(1, states.nsym*(frames+1));
tx_bits(1:2:length(tx_bits)) = 1;
end
if (test_frame_mode == 4) || (test_frame_mode == 5)
% load up a horus msg from disk and modulate that
test_frame = load(states.tx_bits_file);
ltf = length(test_frame);
ntest_frames = ceil((frames+1)*nsym/ltf);
tx_bits = [];
for i=1:ntest_frames
tx_bits = [tx_bits test_frame];
end
end
f1 = states.f1_tx;
fsp = states.f2_tx-f1;
states.ftx(1) = f1;
states.ftx(2) = f1+fsp;
if states.M == 4
states.ftx(3) = f1+fsp*2;
states.ftx(4) = f1+fsp*3;
end
tx = fsk_mod(states, tx_bits);
if timing_offset
tx = resample(tx, 1000, 1001); % simulated 1000ppm sample clock offset
end
if fading
ltx = length(tx);
tx = tx .* (1.1 + cos(2*pi*2*(0:ltx-1)/Fs))'; % min amplitude 0.1, -20dB fade, max 3dB
end
noise = sqrt(variance)*randn(length(tx),1);
rx = tx + noise;
test_name = sprintf("tfsk run sim EbNodB:%d frames:%d timing_offset:%d fading:%d df:%d",EbNodB,frames,timing_offset,fading,df);
tstats = fsk_demod_xt(Fs,Rs,states.f1_tx,fsp,rx,test_name,M,lock_nin);
pass = tstats.pass;
obits = tstats.obits;
cbits = tstats.cbits;
% Figure out BER of octave and C modems
bitcnt = length(tx_bits);
rx_bits = obits;
ber = 1;
ox = 1;
for offset = (1:100)
nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
bern = nerr/(bitcnt-offset);
if(bern < ber)
ox = offset;
best_nerr = nerr;
end
ber = min([ber bern]);
end
offset = ox;
bero = ber;
ber = 1;
rx_bits = cbits;
ox = 1;
for offset = (1:100)
nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
bern = nerr/(bitcnt-offset);
if(bern < ber)
ox = offset;
best_nerr = nerr;
end
ber = min([ber bern]);
end
offset = ox;
berc = ber;
stats.berc = berc;
stats.bero = bero;
stats.name = test_name;
% coherent BER theory calculation
stats.thrcoh = .5*(M-1)*erfc(sqrt( (log2(M)/2) * EbNo ));
% non-coherent BER theory calculation
% It was complicated, so I broke it up
ms = M;
ns = (1:ms-1);
as = (-1).^(ns+1);
bs = (as./(ns+1));
cs = ((ms-1)./ns);
ds = ns.*log2(ms);
es = ns+1;
fs = exp( -(ds./es)*EbNo );
thrncoh = ((ms/2)/(ms-1)) * sum(bs.*((ms-1)./ns).*exp( -(ds./es)*EbNo ));
stats.thrncoh = thrncoh;
stats.pass = pass;
endfunction
% run a bunch of tests at a range of EbNo's in parallel
function pass = ebno_battery_test(timing_offset,fading,df,M)
%Range of EbNodB over which to test
ebnodbrange = (5:2:13);
ebnodbs = length(ebnodbrange);
mode = 2;
%Replication of other parameters for parcellfun
modev = repmat(mode,1,ebnodbs);
timingv = repmat(timing_offset,1,ebnodbs);
fadingv = repmat(fading,1,ebnodbs);
dfv = repmat(df,1,ebnodbs);
mv = repmat(M,1,ebnodbs);
statv = pararrayfun(floor(1.25*nproc()),@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,mv);
passv = zeros(1,length(statv));
for ii=(1:length(statv))
passv(ii)=statv(ii).pass;
if statv(ii).pass
printf("Test %s passed\n",statv(ii).name);
else
printf("Test %s failed\n",statv(ii).name);
end
end
%All pass flags are '1'
pass = sum(passv)>=length(passv);
%and no tests died
pass = pass && length(passv)==ebnodbs;
passv;
assert(pass)
endfunction
%Test with and without sample clock offset
function pass = test_timing_var(df,M)
pass = ebno_battery_test(1,0,df,M)
assert(pass)
pass = pass && ebno_battery_test(0,0,df,M)
assert(pass)
endfunction
%Test with and without 1 Hz/S freq drift
function pass = test_drift_var(M)
pass = test_timing_var(1,1,M)
pass = pass && test_timing_var(0,1,M)
assert(pass)
endfunction
function pass = test_fsk_battery()
pass = test_mod_horuscfg_randbits;
pass = pass && test_mod_horuscfgm4_randbits;
pass = pass && test_drift_var(4);
assert(pass)
pass = pass && test_drift_var(2);
assert(pass)
if pass
printf("***** All tests passed! *****\n");
end
endfunction
function plot_fsk_bers(M=2)
%Range of EbNodB over which to plot
ebnodbrange = (4:13);
berc = ones(1,length(ebnodbrange));
bero = ones(1,length(ebnodbrange));
berinc = ones(1,length(ebnodbrange));
beric = ones(1,length(ebnodbrange));
ebnodbs = length(ebnodbrange)
mode = 2;
%Replication of other parameters for parcellfun
modev = repmat(mode,1,ebnodbs);
timingv = repmat(1,1,ebnodbs);
fadingv = repmat(0,1,ebnodbs);
dfv = repmat(1,1,ebnodbs);
Mv = repmat(M,1,ebnodbs);
statv = pararrayfun(floor(nproc()),@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,Mv);
%statv = arrayfun(@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,Mv);
for ii = (1:length(statv))
stat = statv(ii);
berc(ii)=stat.berc;
bero(ii)=stat.bero;
berinc(ii)=stat.thrncoh;
beric(ii) = stat.thrcoh;
end
clf;
figure(M)
semilogy(ebnodbrange, berinc,sprintf('r;%dFSK non-coherent theory;',M))
hold on;
semilogy(ebnodbrange, beric ,sprintf('g;%dFSK coherent theory;',M))
semilogy(ebnodbrange, bero ,sprintf('b;Octave fsk horus %dFSK Demod;',M))
semilogy(ebnodbrange, berc,sprintf('+;C fsk horus %dFSK Demod;',M))
hold off;
grid("minor");
axis([min(ebnodbrange) max(ebnodbrange) 1E-5 1])
legend("boxoff");
xlabel("Eb/No (dB)");
ylabel("Bit Error Rate (BER)")
endfunction
% We kick off tests here ------------------------------------------------------
pass = 0; ntests = 0;
pass += test_mod_horuscfg_randbits; ntests++;
pass += test_mod_horuscfgm4_randbits; ntests++;
stats = tfsk_run_sim(test_frame_mode=2,EbNodB=5,timing_offset=0,fading=0,df=1,M=4,frames=10,lock_nin=1); ntests++;
if stats.pass
print_result("Demod 10 frames nin locked", "OK");
pass += stats.pass;
end
stats = tfsk_run_sim(test_frame_mode=2,EbNodB=5,timing_offset=1,fading=0,df=1,M=4,frames=10,lock_nin=0); ntests++;
if stats.pass
print_result("Demod 10 frames", "OK");
pass += stats.pass;
end
printf("tests: %d passed: %d ", ntests, pass);
if ntests == pass printf("PASS\n"); else printf("FAIL\n"); end
third_party/codec2/octave/tnewamp1.m
Vendored
+256
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% tnewamp1.m
%
% Copyright David Rowe 2017
% This program is distributed under the terms of the GNU General Public License
% Version 2
#{
Octave script to compare Octave and C versions of newamp1 processing, in order to test C port.
c2sim -> dump files -> $ ../build_linux/unittest/tnewamp1 -> octave:1> tnewamp1
Usage:
1/ build codec2 with -DDUMP - see codec2-dev/README
2/ Generate dump files using c2sim (just need to do this once)
$ cd codec2-dev/build_linux/src
$ ./c2sim ../../raw/hts1a.raw --phase0 --postfilter --dump hts1a --lpc 10 --dump_pitch_e hts1a_pitche.txt
3/ Run C version which generates a file of Octave test vectors as output:
$ cd codec2-dev/build_linux/unittest
$ ./tnewamp1 ../../raw/hts1a.raw
4/ Run Octave script to generate Octave test vectors and compare with C.
octave:1> tnewamp1("../build_linux/src/hts1a")
5/ Optionally listen to output
~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --phase0 --postfilter \
--amread hts1a_am.out --hmread hts1a_hm.out \
--Woread hts1a_Wo.out --hand_voicing hts1a_v.txt -o - \
| play -q -t raw -r 8000 -s -2 -
#}
function tnewamp1(input_prefix, path_to_unittest="../build_linux/unittest/")
printf("starting tnewamp1.c input_prefix: %s\n", input_prefix);
visible_flag = 'off';
newamp_700c;
autotest;
more off;
max_amp = 80;
postfilter = 0; % optional postfiler that runs on Am, not used atm
synth_phase = 1;
if nargin == 1
output_prefix = input_prefix;
end
model_name = strcat(input_prefix,"_model.txt");
model = load(model_name);
[frames nc] = size(model);
voicing_name = strcat(input_prefix,"_pitche.txt");
voicing = zeros(1,frames);
if exist(voicing_name, "file") == 2
pitche = load(voicing_name);
voicing = pitche(:, 3);
end
% Load in C vectors and compare -----------------------------------------
load(sprintf("%s/tnewamp1_out.txt", path_to_unittest));
K = 20;
[frames tmp] = size(rate_K_surface_c);
[rate_K_surface sample_freqs_kHz] = resample_const_rate_f_mel(model(1:frames,:), K);
melvq;
load train_120_1.txt; load train_120_2.txt;
train_120_vq(:,:,1)= train_120_1; train_120_vq(:,:,2)= train_120_2; m=5;
m=5;
eq = zeros(1,K);
for f=1:frames
mean_f(f) = mean(rate_K_surface(f,:));
rate_K_surface_no_mean(f,:) = rate_K_surface(f,:) - mean_f(f);
[rate_K_vec eq] = front_eq(rate_K_surface_no_mean(f,:), eq);
rate_K_surface_no_mean(f,:) = rate_K_vec;
end
[res rate_K_surface_no_mean_ ind] = mbest(train_120_vq, rate_K_surface_no_mean, m);
for f=1:frames
rate_K_surface_no_mean_(f,:) = post_filter(rate_K_surface_no_mean_(f,:), sample_freqs_kHz, 1.5);
end
rate_K_surface_ = zeros(frames, K);
interpolated_surface_ = zeros(frames, K);
energy_q = create_energy_q;
M = 4;
for f=1:frames
[mean_f_ indx] = quantise(energy_q, mean_f(f));
indexes(f,3) = indx - 1;
rate_K_surface_(f,:) = rate_K_surface_no_mean_(f,:) + mean_f_;
end
% simulated decoder
% break into segments of M frames. We have 2 samples spaced M apart
% and interpolate the rest.
Nfft_phase = 128; % note this needs to be 512 (FFT_ENC in codec2 if using --awread)
% with --hmread 128 is preferred as less memory/CPU
model_ = zeros(frames, max_amp+2);
voicing_ = zeros(1,frames);
Aw = zeros(frames, Nfft_phase);
H = zeros(frames, max_amp);
model_(1,1) = Wo_left = 2*pi/100;
voicing_left = 0;
left_vec = zeros(1,K);
% decoder runs on every M-th frame, 25Hz frame rate, offset at
% start is to minimise processing delay (thanks Jeroen!)
for f=M:M:frames
if voicing(f)
index = encode_log_Wo(model(f,1), 6);
if index == 0
index = 1;
end
model_(f,1) = decode_log_Wo(index, 6);
else
model_(f,1) = 2*pi/100;
end
Wo_right = model_(f,1);
voicing_right = voicing(f);
[Wo_ avoicing_] = interp_Wo_v(Wo_left, Wo_right, voicing_left, voicing_right);
#{
for i=1:4
fprintf(stderr, " Wo: %4.3f L: %d v: %d\n", Wo_(i), floor(pi/Wo_(i)), avoicing_(i));
end
fprintf(stderr," rate_K_vec: ");
for i=1:5
fprintf(stderr,"%5.3f ", rate_K_surface_(f,i));
end
fprintf(stderr,"\n");
#}
if f > M
model_(f-M:f-1,1) = Wo_;
voicing_(f-M:f-1) = avoicing_;
model_(f-M:f-1,2) = floor(pi ./ model_(f-M:f-1,1)); % calculate L for each interpolated Wo
end
right_vec = rate_K_surface_(f,:);
if f > M
sample_points = [f-M f];
resample_points = f-M:f-1;
for k=1:K
interpolated_surface_(resample_points,k) = interp_linear(sample_points, [left_vec(k) right_vec(k)], resample_points);
end
for k=f-M:f-1
model_(k,:) = resample_rate_L(model_(k,:), interpolated_surface_(k,:), sample_freqs_kHz);
Aw(k,:) = determine_phase(model_, k, Nfft_phase);
for m=1:model_(k,2)
b = round(m*model_(k,1)*Nfft_phase/(2*pi)); % map harmonic centre to DFT bin
H(k,m) = exp(j*Aw(k, b+1));
end
end
end
% update for next time
Wo_left = Wo_right;
voicing_left = voicing_right;
left_vec = right_vec;
end
f = figure(1); clf;
mesh(angle(H));
f = figure(2); clf;
mesh(angle(H_c(:,1:max_amp)));
f = figure(3); clf;
mesh(abs(H - H_c(:,1:max_amp)));
passes = 0; tests = 0;
passes += check(eq, eq_c, 'Equaliser', 0.01); tests++;
passes += check(rate_K_surface, rate_K_surface_c, 'rate_K_surface', 0.01); tests++;
passes += check(mean_f, mean_c, 'mean', 0.01); tests++;
passes += check(rate_K_surface_, rate_K_surface__c, 'rate_K_surface_', 0.01); tests++;
passes += check(interpolated_surface_, interpolated_surface__c, 'interpolated_surface_', 0.01); tests++;
passes += check(model_(:,1), model__c(:,1), 'interpolated Wo_', 0.001); tests++;
passes += check(voicing_, voicing__c, 'interpolated voicing'); tests++;
passes += check(model_(:,3:max_amp+2), model__c(:,3:max_amp+2), 'rate L Am surface ', 0.1); tests++;
passes += check(H, H_c(:,1:max_amp), 'phase surface'); tests++;
printf("passes: %d fails: %d\n", passes, tests - passes);
#{
% Save to disk to check synthesis is OK with c2sim
output_prefix = input_prefix;
Am_out_name = sprintf("%s_am.out", output_prefix);
fam = fopen(Am_out_name,"wb");
Wo_out_name = sprintf("%s_Wo.out", output_prefix);
fWo = fopen(Wo_out_name,"wb");
Aw_out_name = sprintf("%s_aw.out", output_prefix);
faw = fopen(Aw_out_name,"wb");
Hm_out_name = sprintf("%s_hm.out", output_prefix);
fhm = fopen(Hm_out_name,"wb");
printf("Generating files for c2sim: ");
for f=1:frames
printf(".", f);
Wo = model_(f,1);
L = min([model_(f,2) max_amp-1]);
Am = model_(f,3:(L+2));
Am_ = zeros(1,2*max_amp);
Am_(2:L) = Am(1:L-1);
fwrite(fam, Am_, "float32");
fwrite(fWo, Wo, "float32");
% Note we send opposite phase as c2sim expects phase of LPC
% analysis filter, just a convention based on historical
% development of Codec 2
Aw1 = zeros(1, Nfft_phase*2);
Aw1(1:2:Nfft_phase*2) = cos(Aw(f,:));
Aw1(2:2:Nfft_phase*2) = -sin(Aw(f,:));
fwrite(faw, Aw1, "float32");
Hm = zeros(1, 2*2*max_amp);
for m=1:L
Hm(2*m+1) = real(H(f,m));
Hm(2*m+2) = imag(H(f,m));
end
fwrite(fhm, Hm, "float32");
end
fclose(fam); fclose(fWo); fclose(faw); fclose(fhm);
v_out_name = sprintf("%s_v.txt", output_prefix);
fv = fopen(v_out_name,"wt");
for f=1:length(voicing__c)
fprintf(fv,"%d\n", voicing__c(f));
end
fclose(fv);
#}
endfunction
third_party/codec2/octave/tofdm.m
Vendored
+272
View File
@@ -0,0 +1,272 @@
% tofdm.m
% David Rowe and Steve Sampson June 2017
%
% Octave script for comparing Octave and C versions of OFDM modem
%
% If running from the Octave command line a good idea to clear globals before
% each run:
%
% octave> clear; tofdm;
% ------------------------------------------------------------------
Nframes = 10;
sample_clock_offset_ppm = 100;
foff_hz = 0.5;
more off; format;
ofdm_lib;
autotest;
ldpc
global passes = 0;
global fails = 0;
init_cml()
cml_support = 1
% ---------------------------------------------------------------------
% Run Octave version
% ---------------------------------------------------------------------
% useful to test the modem at other Nc's, but if Nc != 17 we aren't set up for
% LDPC testing so disable
if getenv("NC")
Nc = str2num(getenv("NC"));
cml_support = 0;
else
Nc = 17;
end
printf("Nc = %d LDPC testing: %d\n", Nc, cml_support);
config = ofdm_init_mode("700D");
config.Nc = Nc;
states = ofdm_init(config);
states.verbose = 0;
ofdm_load_const;
printf("Nbitsperframe: %d\n", Nbitsperframe);
if cml_support
Nuwtxtsymbolsperframe = (states.Nuwbits+states.Ntxtbits)/bps;
S_matrix = [1, j, -j, -1];
EsNo = 10;
symbol_likelihood_log = bit_likelihood_log = detected_data_log = [];
% Set up LDPC code
mod_order = 4; bps = 2; modulation = 'QPSK'; mapping = 'gray';
demod_type = 0; decoder_type = 0; max_iterations = 100;
load HRA_112_112.txt
[code_param framesize rate] = ldpc_init_user(HRA_112_112, modulation, mod_order, mapping);
assert(Nbitsperframe == (code_param.coded_bits_per_frame + states.Nuwbits + states.Ntxtbits));
end
tx_bits = zeros(1,Nbitsperframe);
rand('seed',1);
payload_data_bits = round(rand(1,(Nbitsperframe-Nuwbits-Ntxtbits)/2));
states.mean_amp = 1; % start this with something sensible otherwise LDPC decode fails
if cml_support
ibits = payload_data_bits;
codeword = LdpcEncode(ibits, code_param.H_rows, code_param.P_matrix);
tx_bits(Nuwbits+Ntxtbits+1:end) = codeword;
tx_bits(1:Nuwbits+Ntxtbits) = [states.tx_uw zeros(1,Ntxtbits)];
else
tx_bits = create_ldpc_test_frame(states, coded_frame=0);
end
% Run tx loop
tx_bits_log = []; tx_log = [];
for f=1:Nframes
tx_bits_log = [tx_bits_log tx_bits];
tx_log = [tx_log ofdm_mod(states, tx_bits)];
end
% Channel simulation ----------------------------------------------
rx_log = sample_clock_offset(tx_log, sample_clock_offset_ppm);
rx_log = freq_shift(rx_log, foff_hz, Fs);
% Rx ---------------------------------------------------------------
% Init rx with ideal timing so we can test with timing estimation disabled
Nsam = length(rx_log);
prx = 1;
nin = Nsamperframe+2*(M+Ncp);
states.rxbuf(Nrxbuf-nin+1:Nrxbuf) = rx_log(prx:nin);
prx += nin;
rxbuf_log = []; rxbuf_in_log = []; rx_sym_log = []; foff_hz_log = [];
timing_est_log = timing_valid_log = timing_mx_log = [];
coarse_foff_est_hz_log = []; sample_point_log = [];
phase_est_pilot_log = []; rx_amp_log = [];
rx_np_log = []; rx_bits_log = [];
snr_log = []; mean_amp_log = [];
states.timing_en = 1;
states.foff_est_en = 1;
states.phase_est_en = 1;
if states.timing_en == 0
% manually set ideal timing instant
states.sample_point = Ncp;
end
for f=1:Nframes
% insert samples at end of buffer, set to zero if no samples
% available to disable phase estimation on future pilots on last
% frame of simulation
nin = states.nin;
lnew = min(Nsam-prx+1,nin);
rxbuf_in = zeros(1,nin);
%printf("nin: %d prx: %d lnew: %d\n", nin, prx, lnew);
if lnew
rxbuf_in(1:lnew) = rx_log(prx:prx+lnew-1);
end
prx += lnew;
[states rx_bits achannel_est_pilot_log arx_np arx_amp] = ofdm_demod(states, rxbuf_in);
% log some states for comparison to C
rxbuf_in_log = [rxbuf_in_log rxbuf_in];
rxbuf_log = [rxbuf_log states.rxbuf];
rx_sym_log = [rx_sym_log; states.rx_sym];
phase_est_pilot_log = [phase_est_pilot_log; angle(achannel_est_pilot_log)];
rx_amp_log = [rx_amp_log arx_amp];
foff_hz_log = [foff_hz_log; states.foff_est_hz];
timing_est_log = [timing_est_log; states.timing_est];
timing_valid_log = [timing_valid_log; states.timing_valid];
timing_mx_log = [timing_mx_log; states.timing_mx];
coarse_foff_est_hz_log = [coarse_foff_est_hz_log; states.coarse_foff_est_hz];
sample_point_log = [sample_point_log; states.sample_point];
rx_np_log = [rx_np_log arx_np];
rx_bits_log = [rx_bits_log rx_bits];
mean_amp_log = [mean_amp_log; states.mean_amp];
EsNo_estdB = esno_est_calc(arx_np);
SNR_estdB = snr_from_esno(states, EsNo_estdB);
snr_log = [snr_log; SNR_estdB];
% Optional testing of LDPC functions
if cml_support
mean_amp = states.mean_amp;
%mean_amp = 1;
symbol_likelihood = Demod2D(arx_np(Nuwtxtsymbolsperframe+1:end)/mean_amp, S_matrix, EsNo, arx_amp(Nuwtxtsymbolsperframe+1:end)/mean_amp);
bit_likelihood = Somap(symbol_likelihood);
[x_hat paritychecks] = MpDecode(-bit_likelihood(1:code_param.coded_bits_per_frame), code_param.H_rows, code_param.H_cols, max_iterations, decoder_type, 1, 1);
[mx mx_ind] = max(paritychecks);
detected_data = x_hat(mx_ind,:);
% make sure LDPC decoding is working OK
% assert(codeword == detected_data);
[m n] = size(symbol_likelihood);
symbol_likelihood_log = [symbol_likelihood_log; reshape(symbol_likelihood,m*n,1)];
bit_likelihood_log = [bit_likelihood_log; bit_likelihood'];
detected_data_log = [detected_data_log detected_data];
end
end
% ---------------------------------------------------------------------
% Run C version and plot Octave and C states and differences
% ---------------------------------------------------------------------
printf("\nRunning C version....\n");
% Override default path by:
% 1. if running from octave CLI: setting path_to_tofdm = "/your/path/to/tofdm"
% 2. If running from shell....." set PATH_TO_OFDM = "/your/path/to/tofdm"
if exist("path_to_tofdm", "var") == 0
path_to_tofdm = "../build_linux/unittest/tofdm"
end
if getenv("PATH_TO_TOFDM")
path_to_tofdm = getenv("PATH_TO_TOFDM")
printf("setting path from env var\n");
end
path_to_tofdm = sprintf("%s --nc %d", path_to_tofdm, Nc); % append Nc for variable Nc tests
if cml_support == 0
path_to_tofdm = sprintf("%s --noldpc", path_to_tofdm);
end
system(path_to_tofdm);
load tofdm_out.txt;
fg = 1;
f = figure(fg++); clf; plot(rx_np_log,'+'); title('Octave Scatter Diagram'); axis([-1.5 1.5 -1.5 1.5]);
f = figure(fg++); clf; plot(rx_np_log_c,'+'); title('C Scatter Diagram'); axis([-1.5 1.5 -1.5 1.5]);
stem_sig_and_error(fg++, 111, tx_bits_log_c, tx_bits_log - tx_bits_log_c, 'tx bits', [1 length(tx_bits_log) -1.5 1.5])
stem_sig_and_error(fg, 211, real(tx_log_c), real(tx_log - tx_log_c), 'tx re', [1 length(tx_log_c) -0.1 0.1])
stem_sig_and_error(fg++, 212, imag(tx_log_c), imag(tx_log - tx_log_c), 'tx im', [1 length(tx_log_c) -0.1 0.1])
stem_sig_and_error(fg, 211, real(rx_log_c), real(rx_log - rx_log_c), 'rx re', [1 length(rx_log_c) -0.1 0.1])
stem_sig_and_error(fg++, 212, imag(rx_log_c), imag(rx_log - rx_log_c), 'rx im', [1 length(rx_log_c) -0.1 0.1])
stem_sig_and_error(fg, 211, real(rxbuf_in_log_c), real(rxbuf_in_log - rxbuf_in_log_c), 'rxbuf in re', [1 length(rxbuf_in_log_c) -0.1 0.1])
stem_sig_and_error(fg++, 212, imag(rxbuf_in_log_c), imag(rxbuf_in_log - rxbuf_in_log_c), 'rxbuf in im', [1 length(rxbuf_in_log_c) -0.1 0.1])
stem_sig_and_error(fg, 211, real(rxbuf_log_c), real(rxbuf_log - rxbuf_log_c), 'rxbuf re', [1 length(rxbuf_log_c) -0.1 0.1])
stem_sig_and_error(fg++, 212, imag(rxbuf_log_c), imag(rxbuf_log - rxbuf_log_c), 'rxbuf im', [1 length(rxbuf_log_c) -0.1 0.1])
stem_sig_and_error(fg, 211, real(rx_sym_log_c), real(rx_sym_log - rx_sym_log_c), 'rx sym re', [1 length(rx_sym_log_c) -1.5 1.5])
stem_sig_and_error(fg++, 212, imag(rx_sym_log_c), imag(rx_sym_log - rx_sym_log_c), 'rx sym im', [1 length(rx_sym_log_c) -1.5 1.5])
% for angles pi and -pi are the same
d = phase_est_pilot_log - phase_est_pilot_log_c; d = angle(exp(j*d));
stem_sig_and_error(fg, 211, phase_est_pilot_log_c, d, 'phase est pilot', [1 length(phase_est_pilot_log_c) -1.5 1.5])
stem_sig_and_error(fg++, 212, rx_amp_log_c, rx_amp_log - rx_amp_log_c, 'rx amp', [1 length(rx_amp_log_c) -1.5 1.5])
stem_sig_and_error(fg , 211, foff_hz_log_c, (foff_hz_log - foff_hz_log_c), 'foff hz', [1 length(foff_hz_log_c) -1.5 1.5])
stem_sig_and_error(fg++, 212, timing_mx_log_c, (timing_mx_log - timing_mx_log_c), 'timing mx', [1 length(timing_mx_log_c) 0 2])
stem_sig_and_error(fg, 211, timing_est_log_c, (timing_est_log - timing_est_log_c), 'timing est', [1 length(timing_est_log_c) -1.5 1.5])
stem_sig_and_error(fg++, 212, sample_point_log_c, (sample_point_log - sample_point_log_c), 'sample point', [1 length(sample_point_log_c) -1.5 1.5])
stem_sig_and_error(fg++, 111, rx_bits_log_c, rx_bits_log - rx_bits_log_c, 'rx bits', [1 length(rx_bits_log) -1.5 1.5])
% Run through checklist -----------------------------
check(states.rate_fs_pilot_samples, pilot_samples_c, 'pilot_samples');
check(tx_bits_log, tx_bits_log_c, 'tx_bits');
check(tx_log, tx_log_c, 'tx');
check(rx_log, rx_log_c, 'rx');
check(rxbuf_in_log, rxbuf_in_log_c, 'rxbuf in');
check(rxbuf_log, rxbuf_log_c, 'rxbuf');
check(rx_sym_log, rx_sym_log_c, 'rx_sym', tol=10E-3);
check(phase_est_pilot_log, phase_est_pilot_log_c, 'phase_est_pilot', tol=1E-2, its_an_angle=1);
check(rx_amp_log, rx_amp_log_c, 'rx_amp');
check(timing_est_log, timing_est_log_c, 'timing_est');
check(timing_valid_log, timing_valid_log_c, 'timing_valid');
check(timing_mx_log, timing_mx_log_c, 'timing_mx');
check(coarse_foff_est_hz_log, coarse_foff_est_hz_log_c, 'coarse_foff_est_hz');
check(sample_point_log, sample_point_log_c, 'sample_point');
check(foff_hz_log, foff_hz_log_c, 'foff_est_hz');
check(rx_bits_log, rx_bits_log_c, 'rx_bits');
if cml_support
check(symbol_likelihood_log, symbol_likelihood_log_c, 'symbol_likelihood_log', tol=1E-2);
check(bit_likelihood_log, bit_likelihood_log_c, 'bit_likelihood_log');
check(detected_data_log, detected_data_log_c, 'detected_data');
end
check(mean_amp_log, mean_amp_log_c, 'mean_amp_log');
check(snr_log, snr_log_c, 'snr_log');
printf("\npasses: %d fails: %d\n", passes, fails);
third_party/codec2/octave/tofdm_acq.m
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% tofdm_acq.m
% Octave <-> C test for OFDM modem acquisition
ofdm_lib;
autotest;
randn('seed',1);
pkg load signal;
more off;
% generate a file of transmit samples
filename = "test_datac0.raw";
ofdm_tx(filename,"datac0",1,10,"awgn","bursts",1, "txclip");
printf("\nRunning Octave version....\n");
config = ofdm_init_mode("datac0");
states = ofdm_init(config);
states.verbose = 1; states.data_mode = "burst"; states.postambledetectoren = 1;
states.timing_mx_thresh = 0.15;
ofdm_load_const;
frx=fopen(filename,"rb");
nin = states.nin; rxbufst = states.rxbufst;
rx = fread(frx, nin, "short")/(states.amp_scale/2);
f = 0;
timing_mx_log = []; ct_est_log = []; foff_est_log = []; timing_valid_log = []; nin_log = [];
while(length(rx) == nin)
printf(" %2d ",f++);
[timing_valid states] = ofdm_sync_search(states, rx);
timing_mx_log = [timing_mx_log states.timing_mx];
ct_est_log = [ct_est_log states.ct_est];
foff_est_log = [foff_est_log states.foff_est_hz];
timing_valid_log = [timing_valid_log states.timing_valid];
nin_log = [nin_log states.nin];
% reset these to defaults, as they get modified when timing_valid asserted
states.nin = nin;
states.rxbufst = rxbufst;
rx = fread(frx, nin, "short")/(states.amp_scale/2);
printf("\n");
end
fclose(frx);
printf("\nRunning C version....\n");
path_to_unittest = "../build_linux/unittest";
if getenv("PATH_TO_UNITTEST")
path_to_unittest = getenv("PATH_TO_UNITTEST")
printf("setting path from env var to %s\n", path_to_unittest);
end
system(sprintf("%s/tofdm_acq %s", path_to_unittest, filename));
load tofdm_acq_out.txt;
fg = 1; passes = 0; ntests = 0;
tx_preamble = states.tx_preamble;
stem_sig_and_error(fg, 211, real(tx_preamble_c), real(tx_preamble_c - tx_preamble), 'tx preamble re')
stem_sig_and_error(fg++, 212, imag(tx_preamble_c), imag(tx_preamble_c - tx_preamble), 'tx preamble im')
passes += check(tx_preamble, tx_preamble_c, 'tx preamble', 0.1); ntests++;
tx_postamble = states.tx_postamble;
stem_sig_and_error(fg, 211, real(tx_postamble_c), real(tx_postamble_c - tx_postamble), 'tx postamble re')
stem_sig_and_error(fg++, 212, imag(tx_postamble_c), imag(tx_postamble_c - tx_postamble), 'tx postamble im')
passes += check(tx_postamble, tx_postamble_c, 'tx postamble', 0.1); ntests++;
stem_sig_and_error(fg, 211, real(timing_mx_log_c), real(timing_mx_log_c - timing_mx_log), 'timing mx')
passes += check(timing_mx_log, timing_mx_log_c, 'timing_mx'); ntests++;
stem_sig_and_error(fg++, 212, real(ct_est_log_c), real(ct_est_log_c - ct_est_log), 'ct est')
passes += check(ct_est_log, ct_est_log_c, 'ct_est_mx'); ntests++;
stem_sig_and_error(fg, 211, real(foff_est_log_c), real(foff_est_log_c - foff_est_log), 'foff est')
passes += check(foff_est_log, foff_est_log_c, 'foff_est'); ntests++;
stem_sig_and_error(fg++, 212, real(timing_valid_log_c), real(timing_valid_log_c - timing_valid_log), 'timing valid')
passes += check(timing_valid_log, timing_valid_log_c, 'timing_valid'); ntests++;
passes += check(nin_log, nin_log_c, 'nin'); ntests++;
if passes == ntests printf("PASS\n"); else printf("FAIL\n"); end
third_party/codec2/octave/train_120_1.txt
Vendored
+512
View File
@@ -0,0 +1,512 @@
6.7484 7.6125 6.0332 5.2789 1.5239 2.2353 2.0748 0.5289 0.8748 2.5432 -2.2863 -3.1910 -0.0434 -1.9857 -3.3605 0.7069 -5.9493 -0.5672 -0.6798 -18.0977
4.0503 3.9086 2.9225 2.3773 0.6580 -0.4363 -0.0644 2.4063 1.3428 2.4542 0.5275 0.9820 -1.3277 0.6811 0.0273 -0.1838 -0.0222 -0.6478 -2.2405 -17.4152
13.3284 12.1212 10.6531 9.8214 11.0388 15.8120 19.7110 16.5488 16.1068 15.8771 7.2553 4.2486 -6.0036 -12.5476 -20.1299 -28.2803 -25.3971 -21.7907 -11.5143 -26.8590
21.4405 18.4703 17.8693 14.9679 11.2994 6.4906 4.7717 0.1959 -0.8801 1.8991 1.9793 -4.9755 -7.7852 -10.0492 -8.5295 -8.2893 -4.1203 -12.4072 -16.1660 -26.1817
4.0023 3.8279 1.2681 1.0053 0.7002 -0.3886 3.4465 -1.4055 -6.7846 -2.3345 -2.9050 -0.1344 3.4192 2.4319 10.0096 3.9279 0.6807 0.3220 -3.8325 -17.2565
29.8276 21.1543 12.7853 13.0246 5.8164 3.7469 2.4198 0.1510 -4.5449 5.2695 11.7552 -4.8954 -6.0291 -8.9780 4.9650 -10.6540 -12.5363 -21.6056 -18.2985 -23.3739
4.8610 5.1207 6.5382 9.8638 15.4754 18.8192 14.8018 10.7685 12.4401 14.0392 2.9200 -3.7283 -9.7213 -13.5526 -16.0730 -13.7571 -5.4267 -12.2552 -14.5143 -26.6193
3.0429 3.0335 4.4785 5.6483 5.3476 5.7519 3.5651 4.9007 4.9672 -0.7330 -0.6458 6.5888 5.2957 -2.0068 -6.0189 -7.2145 2.5545 -5.8358 -7.4936 -25.2263
5.9384 7.0203 10.7433 15.2477 14.8437 8.0949 3.1384 -0.0014 -0.1756 2.1601 8.1029 0.4123 -6.8062 -9.6038 -6.2302 0.4409 -8.9878 -10.1638 -4.6903 -29.4840
7.1880 6.1134 5.4021 10.5427 17.0718 14.5658 6.8632 2.2257 0.4412 3.8257 9.0388 -1.1212 -6.7639 -9.2412 -8.6575 -2.9951 -8.6659 -9.4220 -6.6046 -29.8068
9.8859 4.3889 3.6253 3.2033 4.6563 4.5967 1.8747 -0.0037 3.2114 3.8854 3.1501 0.8523 -5.2830 -8.4603 -5.1159 -3.9157 6.9800 -1.5270 -6.0421 -19.9624
7.6208 10.1888 12.8648 16.4838 14.9269 7.8064 3.5594 -2.8048 -3.6303 -10.8596 -7.1254 -2.8890 5.4295 -2.5015 -5.5359 -2.9934 -6.5980 -7.1493 -4.9387 -21.8545
12.7227 17.1387 21.7055 19.8068 12.1832 5.8645 -2.4103 -3.8445 -5.5496 -5.5608 -0.2010 5.1772 -1.4666 -6.6602 -1.2573 -3.1593 -10.7925 -14.3751 -12.0047 -27.3167
7.4465 7.8765 9.4912 12.2074 12.1631 11.4780 7.6294 2.6922 0.1566 -2.1903 -1.5699 -1.8031 2.2555 -1.5591 -7.9267 -10.3612 -5.5432 -5.5673 -10.0797 -26.7960
0.3749 1.9725 2.6868 6.3326 8.9635 12.8113 13.6523 14.0916 11.2443 1.2914 -1.9954 -2.9443 -4.6718 -4.3132 -3.4613 -8.1105 -7.9033 -7.0956 -6.5898 -26.3361
10.3072 10.6822 8.8253 4.8992 4.3627 8.8165 9.7824 3.7264 0.4265 0.6068 3.0934 2.9121 -0.6717 -5.8045 -1.7344 -9.1008 -8.8333 -6.0633 -11.2321 -25.0005
10.6992 14.8060 18.9665 22.4210 21.8710 15.6647 10.6160 12.1366 14.0479 7.0707 -3.8212 -12.1770 -16.1111 -19.3389 -18.8315 -17.5346 -7.9646 -9.4592 -17.5614 -25.5000
9.9592 11.7001 14.2704 14.1434 7.3322 4.2766 -0.0567 -2.7113 -5.7358 -6.7390 -5.9067 -0.1939 4.8177 -3.9810 -7.2528 -3.2695 -1.5685 -7.8940 -6.3355 -14.8548
17.6322 19.5153 22.4362 16.2943 10.4698 2.5066 -2.3936 -5.3770 -7.9766 -9.8004 -12.9640 -13.1015 -9.8076 -5.7565 1.8732 0.4843 3.3621 -1.0048 -4.8377 -21.5543
9.9491 17.4987 23.2236 17.3142 6.8072 6.6873 1.9421 1.1415 2.9409 6.8470 2.4633 -7.2869 -8.9792 -3.3155 -0.1918 -11.8037 -18.6298 -12.6475 -9.7620 -24.1984
9.2080 9.9971 12.5064 20.0609 20.9647 10.9574 7.4360 4.4943 4.8454 11.0636 1.8176 -7.3479 -12.5617 -15.3912 -11.5022 -5.0309 -14.7556 -15.4294 -6.4150 -24.9176
7.7917 9.3291 11.8185 15.3501 19.3235 20.6869 19.8160 14.6028 10.2893 9.9407 9.8534 3.6182 2.7695 -5.2735 -19.7962 -24.6834 -27.0316 -25.6805 -24.9149 -27.8096
0.1108 3.1261 6.8163 12.4528 16.9192 10.8153 2.6109 -0.2652 -4.8897 -6.1056 -7.3218 -4.4594 4.3004 3.7728 -2.8276 -0.0458 1.0104 -6.4884 -6.4860 -23.0456
12.9442 10.3059 3.1303 2.1611 1.4795 2.7580 6.9527 8.4487 7.1533 1.4465 -0.9113 -3.9971 -4.9090 -5.3881 -3.1011 -0.4922 -1.1819 -5.3279 -8.2374 -23.2345
25.0945 17.8572 8.9500 2.7040 0.2187 1.4115 0.7421 0.5831 -0.3096 0.9334 -2.9667 -4.0352 -2.8473 -4.8594 -4.5863 -4.4311 -2.8466 -4.4808 -5.1669 -21.9645
14.6124 19.7986 21.2066 15.7620 8.7509 3.7653 -0.5239 -3.8894 -6.8522 -8.4979 -8.1879 -5.8438 0.5485 6.7415 0.4745 2.6750 -10.3676 -15.0245 -12.2357 -22.9125
11.9959 12.9771 17.1177 21.5310 16.8892 10.8731 9.7276 8.5106 12.9569 2.2512 -6.9324 -13.2124 -16.5380 -18.0518 -16.6252 -9.7038 -6.1220 -8.7542 -6.8998 -21.9905
12.8107 14.5670 13.4289 7.1693 3.4265 3.1397 2.5457 -1.2214 -0.3887 2.4506 3.9777 0.9056 -6.9195 -7.3811 -3.2619 -0.3714 2.6266 -6.3479 -12.2319 -28.9244
2.6437 2.2575 3.8643 6.0625 10.9091 16.9554 21.5045 12.7233 9.3579 9.4439 12.8585 4.4528 -2.4283 -4.7330 -2.2502 -11.3098 -18.5273 -22.4570 -23.1304 -28.1976
10.5757 10.9392 14.0126 18.2101 14.3745 8.6896 4.9080 1.0411 2.3482 7.2221 4.5440 -5.0353 -11.2852 -13.0882 -10.9600 -3.0288 -9.5005 -10.2217 -6.6739 -27.0717
14.6172 4.5412 13.3824 9.2916 19.2818 13.6563 14.4089 10.1260 1.6926 3.9361 -0.6461 -5.1244 -9.3641 -13.9807 -11.4128 -11.8597 -0.8237 -20.3149 -12.3561 -19.0515
4.0591 4.6177 7.7662 6.8737 9.4052 10.1099 12.8714 8.1202 6.6015 7.9224 1.7548 -1.6325 -4.8379 -5.0955 -2.1947 -8.4220 -11.8799 -10.7107 -12.0066 -23.3222
-3.3385 -1.1297 3.0554 4.9769 3.8625 8.6998 8.0974 -0.5519 -1.0699 -5.4771 -4.7235 -4.8192 7.1236 -0.4895 -2.0107 0.1838 3.5180 3.2804 3.1904 -22.3779
10.9362 15.2821 18.1297 12.4682 2.6895 -1.2007 -1.7676 -6.1681 -6.0524 -5.8064 -3.1002 4.3237 2.0263 -5.5109 1.0348 -0.4760 -4.6274 1.4107 -7.5329 -26.0586
27.0648 22.2199 14.8908 7.7845 2.8689 -0.0364 0.0683 -0.1186 -1.6323 -2.4217 -4.0112 -2.3476 -5.4442 -5.8509 -6.4386 -6.2558 -6.7739 -5.9348 -7.0916 -20.5398
4.3156 -0.2499 1.1824 2.8225 8.1910 5.2798 2.2597 -3.0043 -5.0382 -5.2727 -4.0013 2.6952 8.1245 -1.1517 -1.8957 2.4603 3.0897 -1.0817 -0.1353 -18.5898
17.5894 22.9315 26.4862 22.1620 13.7474 13.5177 15.2005 16.3224 4.9523 -4.2419 -8.3503 -12.4022 -12.6698 -6.7159 -16.2122 -20.1926 -20.5969 -16.0749 -12.5173 -22.9353
6.5871 8.0443 8.4339 11.3345 17.3665 13.4455 6.9211 2.0512 -0.7348 -1.2898 1.0076 8.4862 -0.3360 -6.4714 -5.9432 -4.1602 -12.1155 -12.4645 -10.9269 -29.2355
19.0066 20.3716 18.0417 9.4806 4.8058 0.3359 -4.1091 -8.1930 -8.9962 -9.7495 -13.2924 -8.6275 -4.9424 6.0502 -6.8142 -7.1166 -3.0922 8.8016 5.6937 -17.6547
4.7309 -6.5949 4.9914 7.3489 9.0188 4.1567 7.1949 0.4917 5.0462 7.5219 1.5314 -15.3803 5.3130 -0.0983 -7.0327 -1.2671 -0.4646 -1.6442 -0.7446 -24.1190
13.7639 5.1424 5.3193 3.8945 3.9574 1.4034 0.1896 -4.0608 -2.5264 -4.9434 2.8459 2.6311 -2.7915 -3.7842 -0.3711 0.5487 5.3766 -4.3496 -3.2801 -18.9656
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