updated ui added new features

This commit is contained in:
zach
2025-12-27 15:32:32 -07:00
parent 02ca7801ea
commit a2cfae3a22
589 changed files with 181780 additions and 569 deletions
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name: Build SM1000
on: [pull_request]
env:
# Customize the CMake build type here (Release, Debug, RelWithDebInfo, etc.)
BUILD_TYPE: Debug
jobs:
build:
# The CMake configure and build commands are platform agnostic and should work equally
# well on Windows or Mac. You can convert this to a matrix build if you need
# cross-platform coverage.
# See: https://docs.github.com/en/free-pro-team@latest/actions/learn-github-actions/managing-complex-workflows#using-a-build-matrix
runs-on: ubuntu-22.04
steps:
- uses: actions/checkout@v2
- name: Install packages
shell: bash
run: |
sudo apt-get update
sudo apt-get install octave octave-common octave-signal liboctave-dev gnuplot sox p7zip-full python3-numpy valgrind
- name: Install ST Standard Peripheral Library (SM1000)
working-directory: ${{github.workspace}}/stm32
shell: bash
run: git clone https://github.com/whimsicalraps/STM32F4xx_DSP_StdPeriph_Lib
- name: Install SM1000 prerequisites
working-directory: ${{github.workspace}}/stm32
shell: bash
run: sudo apt install gcc-arm-none-eabi
- name: Build SM1000
working-directory: ${{github.workspace}}/stm32
shell: bash
run: |
mkdir build_stm32
cd build_stm32
cmake -DCMAKE_TOOLCHAIN_FILE=../cmake/STM32_Toolchain.cmake -DPERIPHLIBDIR=${{github.workspace}}/stm32/STM32F4xx_DSP_StdPeriph_Lib ..
make
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name: Build Codec2 for Linux
on: [pull_request]
env:
# Customize the CMake build type here (Release, Debug, RelWithDebInfo, etc.)
BUILD_TYPE: Debug
jobs:
build:
# The CMake configure and build commands are platform agnostic and should work equally
# well on Windows or Mac. You can convert this to a matrix build if you need
# cross-platform coverage.
# See: https://docs.github.com/en/free-pro-team@latest/actions/learn-github-actions/managing-complex-workflows#using-a-build-matrix
runs-on: ubuntu-22.04
steps:
- uses: actions/checkout@v2
- name: Install packages
shell: bash
run: |
sudo apt-get update
sudo apt-get install octave octave-common octave-signal liboctave-dev gnuplot sox p7zip-full python3-numpy valgrind clang-format texlive-latex-base texlive-fonts-recommended texlive-fonts-extra texlive-latex-extra texlive-science texmaker texlive-bibtex-extra
- name: Create Build Directory
shell: bash
run: mkdir $GITHUB_WORKSPACE/build_linux
- name: Configure codec2 CMake
shell: bash
working-directory: ${{github.workspace}}/build_linux
run: cmake -DUNITTEST=1 $GITHUB_WORKSPACE
- name: Build LPCNet and Run ctests
shell: bash
run: |
cd $HOME
git clone https://github.com/drowe67/LPCNet.git
cd LPCNet && mkdir -p build_linux && cd build_linux
cmake .. && make && ctest
- name: Build codec2 with LPCNet
working-directory: ${{github.workspace}}/build_linux
shell: bash
run: |
cmake -DLPCNET_BUILD_DIR=$HOME/LPCNet/build_linux -DUNITTEST=1 $GITHUB_WORKSPACE
make -j4
- name: Run ctests
working-directory: ${{github.workspace}}/build_linux
shell: bash
run: ctest --output-on-failure
- name: Test library installation
working-directory: ${{github.workspace}}/build_linux
shell: bash
run: cmake --install . --prefix "$HOME/codec2_install" && rm -rf "$HOME/codec2_install"
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build_linux
stm32/build_stm32
stm32/libstm32f4.a
stm32/unittest/lib/python/__pycache__/
stm32/unittest/src/libstm32f4.a
stm32/unittest/src/*.map
stm32/unittest/test_run/
*.pyc
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16. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN
WRITING WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY
AND/OR REDISTRIBUTE THE LIBRARY AS PERMITTED ABOVE, BE LIABLE TO YOU
FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR
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LIBRARY (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING
RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A
FAILURE OF THE LIBRARY TO OPERATE WITH ANY OTHER SOFTWARE), EVEN IF
SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH
DAMAGES.
END OF TERMS AND CONDITIONS
How to Apply These Terms to Your New Libraries
If you develop a new library, and you want it to be of the greatest
possible use to the public, we recommend making it free software that
everyone can redistribute and change. You can do so by permitting
redistribution under these terms (or, alternatively, under the terms of the
ordinary General Public License).
To apply these terms, attach the following notices to the library. It is
safest to attach them to the start of each source file to most effectively
convey the exclusion of warranty; and each file should have at least the
"copyright" line and a pointer to where the full notice is found.
<one line to give the library's name and a brief idea of what it does.>
Copyright (C) <year> <name of author>
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
This library 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with this library; if not, see
<http://www.gnu.org/licenses/>.
Also add information on how to contact you by electronic and paper mail.
You should also get your employer (if you work as a programmer) or your
school, if any, to sign a "copyright disclaimer" for the library, if
necessary. Here is a sample; alter the names:
Yoyodyne, Inc., hereby disclaims all copyright interest in the
library `Frob' (a library for tweaking knobs) written by James Random Hacker.
<signature of Ty Coon>, 1 April 1990
Ty Coon, President of Vice
That's all there is to it!
+293
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# Codec 2 README
Codec 2 is an open source (LGPL 2.1) low bit rate speech codec: http://rowetel.com/codec2.html written in C99 standard C.
Also included:
+ The FreeDV API for digital voice over radio. FreeDV is an open source digital voice protocol that integrates modems, codecs, and FEC [README_freedv](README_freedv.md)
+ HF OFDM and FSK modems, FEC used in the FreeDV API
+ APIs for packet data over radio [README_data](README_data.md)
+ An STM32 embedded version of FreeDV 1600/700D/700E for the [SM1000](stm32/README.md)
## Old Code and Deprecated Features
In July 2023 this repo was refactored, older code can be found in https://github.com/drowe67/codec2-dev.
We are currently conducting a major re-development of Codec 2, new speech coding, modems, and FreeDV modes are under active development. We have limited resources available for maintenance or development on features that may soon be replaced (with the exception of major bugs). We'd rather put our efforts into new features! Modes and Features we are not actively maintaining at present, and likely to be superseded in the near future include:
1. FreeDV 1600, 700C, 700D, 700E, 2020.
1. Codec 2 modes with the exception of Codec 2 3200 for M17.
1. Our fork of LPCNet.
1. The stm32/SM1000 firmware (paused until new modes available).
The code supporting these modes won't be going away any time soon (and we will continue to include any modes/code in popular use), but we have chosen not to actively develop it at this time.
## Pull Requests, Feature Requests
We have a process for considering Feature Requests and Pull Requests that we will guide you through.
If you have a Feature Request, please answer the questions in the [Feature Request Form](https://freedv.org/wp-content/uploads/sites/8/2024/03/FreeDV-027-Feature-Request-Form-V1.1.pdf), and submit your answers as a GitHub Issue.
Before writing any code or submitting a PR - **please discuss** the PR with developers by raising a GitHub Issue. We have many years of experience and a carefully considered plan for Codec 2 development, and can guide you on work that will most benefit this project.
Some key guidelines about the code in the `codec2` repo:
1. Only code that is required to build, test, or document libcodec2 goes in codec2.
2. Experimental work, code used for algorithm development, should probably go into some other repo.
3. Only widely used “production” code goes in codec2. If it has an user base of < 2 (e.g. personal projects, early R&D) - it should probably be application code or a fork.
## Ports to non C99 Compilers
For Windows applications (built with MSVC or any compiler) we recommend linking with our [cross-compiled](#building-for-windows) Codec 2 DLLs. This lets you enjoy the benefits of our carefully developed, tested and maintained codebase without having to develop and maintain your own fork.
We have standardized on C99 and develop and test using gcc on a Linux platform. Our focus needs to be on whats unique about our project the speech codec and modem waveforms, and we lack the resources to support multiple compilers. If you want to build Codec 2 using a non-standard compiler like MSVC and certain embedded compilers you will need to maintain your own Codec 2 fork (a very large commitment). If you decide to fork Codec 2 to a non C99 compiler - please ensure you port the ctests and that they all pass. If the tests have not been ported or do not pass - it's not Codec 2.
## Quickstart
1. Install packages (Debian/Ubuntu):
```
sudo apt install git build-essential cmake
```
Fedora/RH distros:
```
sudo dnf groupinstall "Development Tools" "C Development Tools and Libraries"
sudo dnf install cmake
```
1. Build Codec 2:
```
git clone https://github.com/drowe67/codec2.git
cd codec2
mkdir build_linux
cd build_linux
cmake ..
make
```
1. Listen to Codec 2:
```
cd codec2/build_linux
./demo/c2demo ../raw/hts1a.raw hts1a_c2.raw
aplay -f S16_LE ../raw/hts1a.raw
aplay -f S16_LE hts1a_c2.raw
```
1. Compress, decompress and then play a file using Codec 2 at 2400 bit/s:
```
./src/c2enc 2400 ../raw/hts1a.raw hts1a_c2.bit
./src/c2dec 2400 hts1a_c2.bit hts1a_c2_2400.raw
```
which can be played with:
```
aplay -f S16_LE hts1a_c2_2400.raw
```
Or using Codec 2 using 700C (700 bits/s):
```
./src/c2enc 700C ../raw/hts1a.raw hts1a_c2.bit
./src/c2dec 700C hts1a_c2.bit hts1a_c2_700.raw
aplay -f S16_LE hts1a_c2_700.raw
```
1. If you prefer a one-liner without saving to files:
```
./src/c2enc 1300 ../raw/hts1a.raw - | ./src/c2dec 1300 - - | aplay -f S16_LE
```
1. Or you can use your microphone and headphones to encode and listen to the result on the fly:
```
br=1300; arecord -f S16_LE -c 1 -r 8000 | ./src/c2enc $br - - | ./src/c2dec $br - - | aplay -f S16_LE -
```
## FreeDV 2020 support (building with LPCNet)
1. Build LPCNet:
```
cd ~
git clone https://github.com/drowe67/LPCNet
cd LPCNet && mkdir build_linux && cd build_linux
cmake ..
make
```
1. Build Codec 2 with LPCNet support:
```
cd ~/codec2/build_linux && rm -Rf *
cmake -DLPCNET_BUILD_DIR=~/LPCNet/build_linux ..
make
```
## Documentation
An algorithm description can be found in `doc/codec2.pdf`.
## Programs
+ See `demo` directory for simple examples of using Codec and the FreeDV API.
+ `c2demo` encodes a file of speech samples, then decodes them and saves the result.
+ `c2enc` encodes a file of speech samples to a compressed file of encoded bits. `c2dec` decodes a compressed file of bits to a file of speech samples.
+ `c2sim` is a simulation/development version of Codec 2. It allows selective use of the various Codec 2 algorithms. For example switching phase modelling or quantisation on and off.
+ `freedv_tx` & `freedv_rx` are command line implementations of the FreeDV protocol, which combines Codec 2, modems, and Forward Error Correction (FEC).
+ `cohpsk_*` are coherent PSK (COHPSK) HF modem command line programs.
+ `fdmdv_*` are differential PSK HF modem command line programs (README_fdmdv).
+ `fsk_*` are command line programs for a non-coherent FSK modem (README_fsk).
+ `ldpc_*` are LDPC encoder/decoder command line programs, based on the CML library.
+ `ofdm_*` are OFDM PSK HF modem command line programs (README_ofdm).
## Building and Running Unit Tests
CTest is used as a test framework, with support from [GNU Octave](https://www.gnu.org/software/octave/) scripts.
1. Install GNU Octave and libraries on Ubuntu with:
```
sudo apt install octave octave-common octave-signal liboctave-dev gnuplot python3-numpy sox valgrind clang-format texmaker texlive-bibtex-extra texlive-science
```
1. To build and run the tests:
```
cd ~/codec2
rm -Rf build_linux && mkdir build_linux
cd build_linux
cmake -DUNITTEST=1 ..
make
```
1. To just run tests without rebuilding:
```
ctest
```
1. To get a verbose run (e.g. for test debugging):
```
ctest -V
```
1. To just run a single test:
```
ctest -R test_OFDM_modem_octave_port
```
1. To list the available tests:
```
ctest -N
```
1. Many Octave scripts rely on the CML LDPC library. To run these from the Octave CLI, you need to set
the `CML_PATH` environment variable. A convenient way to do this is using a `.octaverc` file
in your `codec/octave` directory. For example on a Linux machine, create a `.octaverc` file:
```
setenv("CML_PATH","../build_linux/cml")
```
## Directories
```
cmake - cmake support files
demo - Simple Codec 2 and FreeDv API demo applications
doc - documentation
octave - Octave scripts used to support ctests
src - C source code for Codec 2, FDMDV modem, COHPSK modem, FreeDV API
raw - speech files in raw format (16 bits signed linear 8 kHz)
stm32 - STM32F4 microcontroller and SM1000 FreeDV Adaptor support
unittest - Code to perform and support testing. Part of Debug build.
wav - speech files in wave file format
```
## GDB and Dump Files
1. To compile with debug symbols for using gdb:
```
cd ~/codec2
rm -Rf build_linux && mkdir build_linux
cd build_linux
CFLAGS=-g cmake ..
make
```
## Building for Windows
We develop and test on Linux to the [C99 standard](#ports-to-non-c99-compilers). We recommend using MinGW to cross compile for Windows.
On Ubuntu Linux:
```
sudo apt-get install mingw-w64
mkdir build_windows && cd build_windows
cmake .. -DCMAKE_TOOLCHAIN_FILE=/home/david/freedv-dev/cmake/Toolchain-Ubuntu-mingw32.cmake -DUNITTEST=FALSE -DGENERATE_CODEBOOK=/home/david/codec2/build_linux/src/generate_codebook
make
```
This will create a working `libcodec2.dll` file for use with other applications (e.g. FreeDV GUI which is in wide spread use on Windows). Please note the utility/development command line applications (e.g. `freedv_rx.exe`) may not work exactly the same on the Windows CLI compared to running on a Unix machine/shell. For example pipes may not function as expected, and ctests are not supported. Our primary development and test environment is Linux, and we lack the resources to support and maintain these applications for other operating systems.
## Including Codec 2 in an Android project
In an Android Studio 'NDK' project (a project that uses 'native' code)
Codec 2 can be added to the project in the following way.
1. Add the Codec 2 source tree to your app (e.g. in app/src/main/codec2)
(e.g. as a git sub-module).
1. Add Codec 2 to the CMakeList.txt (app/src/main/cpp/CMakeLists.txt):
```
# Sets lib_src_DIR to the path of the target CMake project.
set( codec2_src_DIR ../codec2/ )
# Sets lib_build_DIR to the path of the desired output directory.
set( codec2_build_DIR ../codec2/ )
file(MAKE_DIRECTORY ${codec2_build_DIR})
add_subdirectory( ${codec2_src_DIR} ${codec2_build_DIR} )
include_directories(
${codec2_src_DIR}/src
${CMAKE_CURRENT_BINARY_DIR}/../codec2
)
```
1. Add Codec 2 to the target_link_libraries in the same file.
## Building Codec 2 for Microcontrollers
Codec 2 requires a hardware Floating Point Unit (FPU) to run in real time.
Two build options have been added to support building on microcontrollers:
1. Setting the `cmake` variable MICROCONTROLLER_BUILD disables position independent code (-fPIC is not used). This was required for the IMRT1052 used in Teensy 4/4.1).
1. On ARM machines, setting the C Flag \_\_EMBEDDED\_\_ and linking with the ARM CMSIS library will improve performance on ARM-based microcontrollers. \_\_REAL\_\_ and FDV\_ARM\_MATH are additional ARM-specific options that can be set to improve performance if required, especially with OFDM modes.
A CMakeLists.txt example for a microcontroller is below:
```
set(CMAKE_TRY_COMPILE_TARGET_TYPE STATIC_LIBRARY)
set(MICROCONTROLLER_BUILD 1)
set(CMAKE_C_FLAGS "${CMAKE_C_FLAGS} -mlittle-endian -ffunction-sections -fdata-sections -g -O3")
set(CMAKE_EXE_LINKER_FLAGS "${CMAKE_EXE_LINKER_FLAGS} -ffunction-sections -fdata-sections")
add_definitions(-DCORTEX_M7 -D__EMBEDDED__)
add_definitions(-DFREEDV_MODE_EN_DEFAULT=0 -DFREEDV_MODE_1600_EN=1 -DFREEDV_MODE_700D_EN=1 -DFREEDV_MODE_700E_EN=1 -DCODEC2_MODE_EN_DEFAULT=0 -DCODEC2_MODE_1300_EN=1 -DCODEC2_MODE_700C_EN=1)
FetchContent_Declare(codec2
GIT_REPOSITORY https://github.com/drowe67/codec2.git
GIT_TAG origin/main
GIT_SHALLOW ON
GIT_PROGRESS ON
)
FetchContent_GetProperties(codec2)
if(NOT ${codec2_POPULATED})
FetchContent_Populate(codec2)
endif()
set(CMAKE_REQUIRED_FLAGS "")
set(LPCNET OFF CACHE BOOL "")
add_subdirectory(${codec2_SOURCE_DIR} ${codec2_BINARY_DIR} EXCLUDE_FROM_ALL)
```
## Building Debian packages
To build Debian packages, simply run the "cpack" command after running "make". This will generate the following packages:
+ codec2: Contains the .so and .a files for linking/executing applications dependent on Codec2.
* codec2-dev: Contains the header files for development using Codec2.
Once generated, they can be installed with "dpkg -i" (once LPCNet is installed). If LPCNet is not desired, CMakeLists.txt can be modified to remove that dependency.
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# README_cohpsk.md
## Introduction
## Quickstart
1. BER test in AWGN channel with just less that 2% average bit error rate:
```
$ ./cohpsk_get_test_bits - 5600 | ./cohpsk_mod - - | ./ch - - --No -30 --Fs 7500 | ./cohpsk_demod - - | ./cohpsk_put_test_bits -
<snip>
SNR3k(dB): 3.41 C/No: 38.2 PAPR: 8.1
BER: 0.017 Nbits: 5264 Nerrors: 92
```
2. Plot some of the demod internal states, used to chase down freq offset problemL
```
$ cd build_linux/src
$ ./cohpsk_get_test_bits - 5600 | ./cohpsk_mod - - | ./ch - - --No -40 -f -20 --Fs 7500 | ./cohpsk_demod -o cohpsk_demod.txt - - | ./cohpsk_put_test_bits -
$ cd ../../octave
$ octave --no-gui
$ cohpsk_demod_plot("../build_linux/src/cohpsk_demod.txt")
```
3. Run Octave<-> tests
```
$ cd ~/codec2/build_linux/unittest
$ ./tochpsk
$ cd ~/codec2/octave
$ octave --no-gui
octave> tcohpsk
```
## References
## C Code
## Octave Scripts
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# README_data.md
# Introduction
FreeDV can be used to send data over radio channels. Two APis are supported:
+ VHF packet data channel which uses Ethernet style framing.
+ Raw frames of modem data over VHF and HF channels.
## Credits
The VHF data channel was developed by Jeroen Vreeken.
## Quickstart
Raw modem frame API:
1. Let's send a 128 byte frame containing some text over the modem:
```sh
padding=$(head -c 115 < /dev/zero | tr '\0' '-'); echo "Hello World" $padding > in.txt
./src/freedv_data_raw_tx --bursts 1 datac3 in.txt - | ./src/freedv_data_raw_rx --framesperburst 1 datac3 - -
Hello World --------
```
Note we've padded the input frame to 126 bytes, the DATAC3 framesize (less CRC).
VHF packet data API:
1. Simple test using mode 2400A and VHF packet data
```sh
$ cd ~/codec2/build_linux
$ ./src/freedv_data_tx 2400A - --frames 15 | ./src/freedv_data_rx 2400A -
```
You can listen to the modem signal using:
```sh
$ ./src/freedv_data_tx 2400A - --frames 15 | aplay -f S16_LE -r 48000
```
2. Same for 2400B and 800XA
```sh
$ ./src/freedv_data_tx 2400B - --frames 15 | ./src/freedv_data_rx 2400B -
$ ./src/freedv_data_tx 800XA - --frames 15 | ./src/freedv_data_rx 800XA -
```
3. Using a different callsign and secondary station id
```sh
$ ./src/freedv_data_tx 2400A - --callsign T3ST --ssid 15 --frames 15 | src/freedv_data_rx 2400A -
```
# Raw Data using the FreeDV API
The raw data API can be used to send frames of bytes over radio channels. The frames are protected with FEC and have a 16-bit checksum to verify correct transmission. However the raw data API may lose frames due to channel impairments, loss of sync, or acquisition delays. The caller must handle these situations. The caller is also responsible for segmentation/re-assembly of the modem frames into larger blocks of data.
Several modes are available which support FSK and OFDM modulation. FSK is aimed at VHF And UHF applications, and the OFDM modes have been optimised for multipath HF radio channels.
For simple examples of how use the FreeDV API with raw data frames, see the demo programs [freedv_data1_tx.c](demo/freedv_data1_tx.c) and [freedv_data1_rx.c](src/freedv_data1_rx.c) The full featured sample programs [freedv_data_raw_tx.c](src/freedv_data_raw_tx.c) and [freedv_data_raw_rx.c](src/freedv_data_raw_rx.c) can be used to experiment with the raw data API.
## FSK LDPC Raw Data Mode
The FSK_LDPC mode uses 2 or 4 FSK in combination with powerful LDPC codes, and was designed for VHF or UHF AWGN channels. Parameters such as the number of FSK tones, sample rate, symbol rate, and LDPC code can be selected at initialisation time. The frame format is:
```
| Preamble | UW | payload data | CRC | parity | UW | payload data | CRC | parity | ........... |
| frame 1 -------------------------| frame 2 -------------------------| ... frame n |
```
Only one preamble is transmitted for each data burst, which can contain as many frames as you like. Each frame starts with a 32 bit Unique Word (UW), then the FEC codeword consisting of the data and parity bits. At the end of the data bits, we reserve 16 bits for a CRC.
Here is an example of sending some text:
```
$ cd codec2/build_linux/src
$ echo 'Hello World ' |
./freedv_data_raw_tx FSK_LDPC - - 2>/dev/null |
./freedv_data_raw_rx FSK_LDPC - - 2>/dev/null |
hexdump -C
00000000 48 65 6c 6c 6f 20 57 6f 72 6c 64 20 20 20 20 20 |Hello World |
00000010 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | ..|
00000020
```
Notes:
1. The input data is padded to 30 bytes. The (512,256) code sends 256 data bits every frame, we reserve 16 for a CRC, so there are 240 bits, or 30 bytes of payload data required for one frame.
1. The '2>/dev/null' command redirects stderr to nowhere, removing some of the debug information the test programs usually display to make this example easier to read.
When testing, it's convenient to use an internal source of test data. Here is an example where we send a single burst of 10 test frames:
```
$ cd codec2/build_linux/src
$ ./freedv_data_raw_tx --testframes 10 FSK_LDPC /dev/zero - | ./freedv_data_raw_rx --testframes FSK_LDPC - /dev/null
Nbits: 50 N: 4000 Ndft: 1024
bits_per_modem_frame: 256 bytes_per_modem_frame: 32
bytes_per_modem_frame: 32
Frequency: Fs: 8.0 kHz Rs: 0.1 kHz Tone1: 1.0 kHz Shift: 0.2 kHz M: 2
frames processed: 131 output bytes: 320 output_packets: 10
BER......: 0.0000 Tbits: 5440 Terrs: 0
Coded BER: 0.0000 Tbits: 2560 Terrs: 0
```
The default is 100 bits/s 2FSK. The (512,256) code sends 256 data bits (32 bytes) with every codeword, the remaining 256 bits reserved for parity. The `--testframes` mode reports `320 output bytes` (10 frames where sent), and `Tbits: 2560`, so all of our data made it through.
In real world operation, 16 of the data bits are reserved for a CRC, leaving 240 payload data bits per frame. Taking into account the overhead of the UW, CRC, and parity bits, we send 240 payload data bits for every out of 544, so the payload data rate in this example is (240/512)*(100 bits/s) = 44.1 bits/s.
We can add some channel noise using the `ch` tool and see how it performs:
```
$ ./freedv_data_raw_tx --testframes 1 --bursts 10 FSK_LDPC /dev/zero - |
./ch - - --No -5 --ssbfilt 0 |
./freedv_data_raw_rx --testframes -v FSK_LDPC - /dev/null
<snip>
frames processed: 336 output bytes: 320 output_packets: 10
BER......: 0.0778 Tbits: 5440 Terrs: 423
SNR3k(dB): -13.00 C/No: 21.8 PAPR: 7.5
Coded BER: 0.0000 Tbits: 2560 Terrs: 0
```
The `ch` stderr reporting is mixed up with the testframes results but we can see that over a channel with a -13dB SNR, we obtained a raw bit error rate of 0.0778 (nearly 8%). However the LDPC code cleaned that up nicely and still received all 10 packets with no errors.
Here is an example running 4FSK at 20000 bits/s (10000 symbols/s), at a sample rate of 200 kHz:
```
$./freedv_data_raw_tx -m 4 --Fs 200000 --Rs 10000 --tone1 10000 --shift 10000 --testframes 100 --bursts 10 FSK_LDPC /dev/zero - |
./ch - - --No -12 --ssbfilt 0 |
./freedv_data_raw_rx -m 4 --testframes -v --Fs 200000 --Rs 10000 FSK_LDPC --mask 10000 - /dev/null
<snip>
frames processed: 5568 output bytes: 30144 output_packets: 942
BER......: 0.0691 Tbits: 528224 Terrs: 36505
Coded BER: 0.0022 Tbits: 248576 Terrs: 535
```
Some notes on this example:
1. We transmit 10 bursts, each of 100 frames in length, 1000 packets total. There are a couple of frames silence between each burst. This gives the acquisition algorithms a good work out.
1. Only 942 packets make it though this rather noisy channel, a 6% Packet Error Rate (PER). In a real world application, a higher protocol layer would need to detect this, and arrange for re-transmission of missing packets. If the SNR was a few dB better, all 1000 packets would likely make it through. If it was 1dB worse, nothing would get through; LDPC codes have a very sharp "knee" in the PER versus SNR curve.
1. Our first tone `--tone` is at 10kHz, and each tone is spaced `--shift` by 10kHz, so we have FSK tones at 10,20,30, and 40 kHz. For good performance, FSK tones must be spaced by at least the symbol rate Rs.
1. Although the `ch` utility is designed for 8kHz sample rate operation, it just operates on sampled signals, so it's OK to use at higher sample rates. It does have some internal filtering so best to keep your signal well away from 0 and (sample rate)/2. The SNR measurement is calibrated to a 3000 Hz noise bandwidth, so won't make much sense at other sample rates. The third argument `-12` sets the noise level of the channel.
1. The `--mask` frequency offset algorithm is used, which gives better results on noisy channels, especially for 4FSK.
## Reading Further
1. Examples in the [ctests](CMakeLists.txt).
1. [FSK_LDPC blog post](http://www.rowetel.com/?p=7467)
# OFDM Raw Data modes for HF Radio
These modes use an OFDM modem with powerful LDPC codes and are designed for sending data over HF radio channels with multipath fading. The current modes supported are:
| FreeDV Mode | RF bandwidth (Hz) | Payload data rate bits/s | Payload bytes/frame | FEC | Duration (sec) | MPP test | Use case |
| :-: | :-: | :-: | :-: | :-: | :-: | :-: | :-: |
| DATAC0 | 500 | 291 | 14 | (256,128) | 0.44 | 70/100 at 0dB | Reverse link ACK packets |
| DATAC1 | 1700 | 980 | 510 | (8192,4096) | 4.18 | 92/100 at 5dB | Forward link data (medium SNR) |
| DATAC3 | 500 | 321 | 126 | (2048,1024) | 3.19 | 74/100 at 0dB | Forward link data (low SNR) |
| DATAC4 | 250 | 87 | 56 | (1472,448) | 5.17 | 90/100 at -4dB | Forward link data (low SNR) |
| DATAC13 | 200 | 64 | 14 | (384,128) | 2.0 | 90/100 at -4dB | Reverse link ACK packets (low SNR) |
| DATAC14 | 250 | 58 | 3 | (112,56) | 0.69 | 90/100 at -2dB | Reverse link ACK packets (low SNR) |
Notes:
1. 16 bits (2 bytes) per frame are reserved for a 16 bit CRC, e.g. for `datac3` we have 128 byte frames, and 128-2=126 bytes/frame of payload data.
1. SNR is the target operating point SNR for each mode.
1. "MPP test" is the number of packets received/transmitted on a simulated MultiPath Poor channel (1Hz Doppler spread, 2ms delay) at the operating point SNR.
From the callers point of view, the frame format of each burst is:
```
| Preamble | payload data | CRC | payload data | CRC | ........... | Postamble |
| frame 1 -----------| frame 2 -----------| ... frame N |
```
In the next layer down, each frame is comprised of several OFDM "modem frames", that contain pilot, unique word, and FEC symbols to handle synchronisation and error correction over the challenging HF channel. The preamble and postamble are used to locate the burst and estimate it's frequency offset. Having both a pre and postamble increases the probability of successful detection of the burst in a fading channel. Here are some single frame bursts on a MPP channel at 5dB SNR:
![](doc/pre_post_amble_mpp.png)
You can see what a mess the MPP channel makes. Sometimes we find the pre-amble, other times the post-amble. Using both increases the probability of detecting the burst, it's a form of time diversity. If the probability of missing the pre-amble is P(fail)=0.1, then the probability of missing the pre and post-amble is P(fail)*P(fail)=0.01. If we find either we can work out where the burst starts and start demodulating.
Here is an example of sending 3 bursts of 2 frames/burst, a total of 6 frames:
```
./src/freedv_data_raw_tx --framesperburst 2 --bursts 3 --testframes 6 DATAC0 /dev/zero - |
./src/freedv_data_raw_rx --framesperburst 2 --testframes DATAC0 - /dev/null --vv
<snip>
BER......: 0.0000 Tbits: 1536 Terrs: 0
Coded BER: 0.0000 Tbits: 768 Terrs: 0
Coded PER: 0.0000 Tpkts: 6 Tpers: 0
```
Lets add some noise and a 20 Hz frequency offset:
```
./src/freedv_data_raw_tx --framesperburst 2 --bursts 3 --testframes 6 DATAC0 /dev/zero - |
./src/ch - - --No -14 -f 20 |
./src/freedv_data_raw_rx --framesperburst 2 --testframes DATAC0 - /dev/null
<snip>
mark:space: 0.79 SNR offset: -1.03
ch: SNR3k(dB): -0.96 C/No....: 33.82
ch: peak.....: 16394.23 RMS.....: 9814.35 CPAPR.....: 4.46
ch: Nsamples.: 33440 clipped.: 0.00% OutClipped: 0.03%
modembufs: 35 bytes: 84 Frms.: 6 SNRAv: -1.15
BER......: 0.0319 Tbits: 1536 Terrs: 49
Coded BER: 0.0000 Tbits: 768 Terrs: 0
Coded FER: 0.0000 Tfrms: 6 Tfers: 0
```
We still received 6 frames OK (Tpkts field), but in this case there was a raw BER of about 3% which the FEC cleaned up nicely (Coded BER 0.0). Just above that we can see the "SNR offset" and "ch: SNR3k" fields. In the silence between bursts the modem signal has zero power, which biases the SNR measured by the `ch` channel simulation tool. This bias is the "SNR offset". So the true SNR for this test is actually:
```
SNR = -1.15 - (-1.03) = -0.12 dB
```
The same offset applies the the Peak to Average Power measurement (CPAPR) returned by the `ch` tool, but in the other direction. So the unbiased CPAPR is:
```
CPAPR = 4.46 - 1.03 = 3.43 dB
```
CPAPR refers to the PAPR of the complex valued signal.
In the `raw` directory is a real world off-air sample of a signal sent between Adelaide and Melbourne (800km) using about 20W on 40m. This can be decoded with:
```
./src/freedv_data_raw_rx datac1 --framesperburst 1 --testframes ../raw/test_datac1_006.raw /dev/null --vv
<snip>
BER......: 0.0134 Tbits: 73728 Terrs: 986
Coded BER: 0.0000 Tbits: 36864 Terrs: 0
Coded PER: 0.0000 Tpkts: 9 Tpers: 0
```
It's also useful to listen to the file, you can hear co-channel SSB, the bursts starting and stopping, and some fading:
```
aplay -f S16_LE ../raw/test_datac1_006.raw
```
Here is a spectrogram (waterfall on it's side - time flows from left to right, frequency on the Y axis):
![](doc/test_datac1_006_spectrogram.png)
The multipath channel carves notches out of the signal, and the level rises and falls. The 27 carriers of the `datac1` channel can also be observed. The SSB is the fuzz along the top. The SNR varied between 8 and 16dB. The fading is even more obvious on the scatter diagram:
![](doc/test_datac1_006_scatter.png)
The X shape is due to the level of each carrier changing with the fading. In some cases a carrier is faded down to zero. The FEC helps clean up any errors due to faded carriers.
## Modem Performance and Throughput
The following curves illustrate the OFDM raw data mode performance and throughput over AWGN and MPP channels:
![](doc/c_tx_comp.png)
![](doc/c_tx_comp_thruput.png)
The signalling modes (`datac0` and `datac13`) tend to have a "long PER tail" at they are short in duration compared to the fading period. The throughput curve can be used as a guide for "gear shifting" between modes. These curves were generated by [snr_curves.sh](../unittest/raw_data_curves/snr_curves.sh)
## SNR estimation and clipping
The modem estimates the SNR of every received packet, which can be useful for selecting the best mode to maximise bit rate while minimising packet error rate.
Clipping (compression) is enabled by default on each modem waveform to maximise the Peak to Average Power Ratio (PAPR). Power amplifiers are usually rated in terms of peak power (PEP). For a given peak power, clipping increases SNR over the channel by 3-4dB.
Clipping works by introducing controlled distortion, which affects the SNR estimator in the modem. When clipping is enabled, the SNR reported will start to roll off. If clipping is disabled, the modem will report a more accurate SNR.
This command line demonstrates the effect:
```
./src/freedv_data_raw_tx datac3 /dev/zero - --testframes 10 --bursts 10 --clip 1 | ./src/ch - - --No -100 --fading_dir unittest | ./src/freedv_data_raw_rx datac3 - /dev/null --testframes --framesperburst 1 -v
```
Try adjusting `--clip` and `No` argument of `ch` (noise level) for different modes. Note the SNR estimates returned from `freedv_data_raw_rx` compared to the SNR from the channel simulator `ch`. You will notice clipping also increases the RMS power and reduces the PER for a given channel noise power. CPAPR will also reduce with clipping enabled.
The following plots illustrate the SNR estimates versus actual channel SNR with and without compression (clipping). Note that even with the uncompressed waveform there is a small offset of around 1dB, possibly due to modem implementation loss or noise in the frequency, phase, or timing estimators.
![](doc/snrest_snr_ctx.png)
![](doc/snrest_snr_ctxc.png)
## Reading Further
1. See the raw data example in Quickstart section above.
1. For simple examples of how use the FreeDV API, see the demo programs [freedv_datac1_tx.c](demo/freedv_datac1_tx.c) and [freedv_datac1_rx.c](demo/freedv_datac1_rx.c)
1. [freedv_data_raw_tx.c](src/freedv_data_raw_tx.c) and [freedv_data_raw_rx.c](src/freedv_data_raw_rx.c) are more full deatured example programs.
1. The modem waveforms designs are described in this [spreadsheet](doc/modem_codec_frame_design.ods).
1. Examples in the [ctests](CMakeLists.txt) (look for "FreeDV API raw data")
1. [Codec 2 HF Data Modes Part 1 blog post](http://www.rowetel.com/?p=7167)
1. [HF Data Acquisition](https://github.com/drowe67/codec2/pull/171) GitHub Pull Request
1. [datac4 & datac13](https://github.com/drowe67/codec2/pull/364) GitHub Pull Request
1. [FreeDATA](https://freedata.app/) uses these modems
# VHF Packet Data Channel
The FreeDV VHF data channel operates on a packet level. The FreeDV modems however typically operate on a fixed frame base. This means that data packets have to be sent in multiple frames.
The packet format is modeled after Ethernet. As a result, any protocol that is compatible with Ethernet can potentially be used over a FreeDV data link. (There are of course practical limits. Browsing the world wide web with just a few hundred bits per second will not be a pleasant experience.)
## Header optimization
When there are no packets available for transmission a small 'filler' packet with just the sender's address will be sent.
When there is a packet available not all of the header needs to be sent. The sender's address can often be left out if it was already sent in a previous frame. Likewise when the packet has no specific destination but is targeted at a multicast address, this can also be transmitted in a single bit as opposed to a 6 byte broadcast address.
## Addressing
Since the format is based on Ethernet, a 6 byte sender and destination address is used. It is possible to encode an ITU compatible callsign in these bytes. See http://dmlinking.net/eth_ar.html for more info. Or have a look at freedv_data_tx.c and freedv_data_rx.c for an actual implementation.
## Packet types
The 2 byte EtherType field is used to distinguish between various protocols.
## Checks
Not all channels are perfect, and especially since a packet is split up over multiple frames, bits might get lost. Each packet therefore has a CRC which is checked before it is accepted. Note there is No FEC on 2400A/2400B/800XA.
## Available modes
The data channel is available for modes 2400A, 2400B and 800XA.
## API
The data channel is part of the regular FreeDV API.
### Initialization
After creating a new freedv instance with freedv_open(), a few more calls need to be done before the data channel is usable.
```
void freedv_set_data_header (struct freedv *freedv, unsigned char *header);
```
The address that will be used for 'filler' packets must be set. The freedv_set_data_header() function must be called with a 6 byte header.
```
typedef void (*freedv_callback_datarx)(void *, unsigned char *packet, size_t size);
typedef void (*freedv_callback_datatx)(void *, unsigned char *packet, size_t *size);
void freedv_set_callback_data (struct freedv *freedv, freedv_callback_datarx datarx, freedv_callback_datatx datatx, void *callback_state);
```
Using freedv_set_callback_data() two callback functions can be provided. The datarx callback will be used whenever a new data packet has been successfully received. The datatx callback will be used when a new data packet is required for transmission.
### Operation
```
void freedv_datatx (struct freedv *f, short mod_out[]);
```
During normal operation the freedv_datatx() function can be used whenever a data frame has to be sent. If no data is available it will request new data using the datatx callback. The callback function is allowed to set 'size' to zero if no data is available or if it wishes to send an address frame.
For reception the regular freedv_rx() functions can be used as received data will automatically be reported using the datarx callback. Be aware that these functions return the actual number of received speech samples. When a data frame is received the return value will be zero. This may lead to 'gaps' in the audio stream which will have to be filled with silence.
### Examples
The freedv_data_tx and freedv_data_rx test programs implement the minimum needed to send and receive data packets.
## Mixing voice and data
Encoding only voice data is easy with the FreeDV API. Simply use the freedv_tx() function and provide it with speech samples.
Likewise encoding only data is also easy. Make sure to provide a source of data frames using the freedv_set_callback_data() function, and use the freedv_datatx() function to generate frames.
However there are many use cases where one would like to transmit a mix of voice and data. For example one might want to transmit their callsign in a machine readable format, or a short position report. There are a few ways to do this:
### Data bursts at start and/or end of transmission
This method simply transmits voice frames during the transmission, except for a few moments. For example when the user keys the radio the software uses the freedv_datatx() function for a number of frames before switching to regular voice frames.
Likewise when the user releases the key the software may hold it for a number of frames to transmit data before it releases the actual radio.
Be careful though: depending on your setup (radio, PC, soundcard, etc) the generated frames and the keying of your radio might not be perfectly in sync and the first or last frames might be lost in the actual transmission. Make sure to take this into account when using this method.
### Data and voice interleaved
Another method is to generate a mixed stream of frames. Compared to a small burst at the beginning or end a lot more data can be sent. We only need a way to choose between voice or data such that the recovered speech at the other side is not impacted.
#### Detect voice activity
When it is possible to determine activity in the voice signal (and it almost always is) this presence can be used to insert a data frame by calling freedv_datatx() instead of freedv_tx()/freedv_codectx(). This method is used in the freedv_mixed_tx demo program. When the option --codectx is given the codec2 library is used to determine the activity.
```
$ ./src/freedv_mixed_tx 2400A ../raw/hts1a.raw - --codectx | src/freedv_data_rx 2400A -
$ ./src/freedv_mixed_tx 2400A ../raw/hts1a.raw - | src/freedv_data_rx 2400A -
```
The advantage of this method is that the audio is not distorted, there was nothing (or near nothing) to distort. A drawback is that constant voice activity may mean there are insufficient frames for data.
### Receiving mixed voice and data
Receiving and decoding a mixed voice and data stream is (almost) as easy as receiving a regular voice-only transmission.
One simply uses the regular API calls for reception of speech samples. In addition, the callback functions are used for data.
There is one caveat though: when a data frame is received the API functions (like freedv_rx) will return zero as this is the amount of codec/voice data received.
For proper playback silence (or comfort noise) should be inserted for the duration of a frame to restore the timing of the original source speech samples.
An example of how this is done is provided in freedv_mixed_rx
```
$ ./src/freedv_mixed_tx 2400A ../raw/hts1a.raw - | src/freedv_mixed_rx 2400A - ./hts1a_out.raw
```
### Insert a data frame periodically
This is a very simple method, simply insert a data frame every n frames, (e.g. once every 10 seconds). Since single FreeDV frames are relatively short (tens of milliseconds) the effect on received audio will be minor. The advantage of this method is that one can create a guaranteed amount of data bandwidth. A drawback is some interruption in the audio that may be noticed.
### Combination of the above.
A combination of the two methods may also be used. Send data when no voice is active and insert a frame when this does not occur for a long time.
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# README_fdmdv
## Introduction
A 1400 bit/s (nominal) Frequency Division Multiplexed Digital Voice (FDMDV) modem based on [FreeDV 1600 Specification](https://freedv.org/freedv-specification). Used for FreeDV 1600.
The FDMDV modem was first implemented in GNU Octave, then ported to C. Algorithm development is generally easier in Octave, but for real-time work we need the C version. Automated units tests ensure the operation of the Octave and C versions are identical.
## Quickstart
Built as part of codec2, see [README](README.md) for build instructions.
1. Generate some test bits and modulate them:
```
$ cd codec2/build_linux/src
$ ./fdmdv_get_test_bits test.c2 1400
$ ./fdmdv_mod test.c2 test.raw
$ play -t .s16 -r 8000 test.raw
```
1. Two seconds of test frame data modulated and sent out of sound device:
```
$ ./fdmdv_get_test_bits - 2800 | ./fdmdv_mod - - | play -t .s16 -r 8000 -
```
1. Send 14000 modulated bits (10 seconds) to the demod and count errors:
```
$ ./fdmdv_get_test_bits - 14000 | ./fdmdv_mod - - | ./fdmdv_demod - - 14 demod_dump.txt | ./fdmdv_put_test_bits -
bits 13664 errors 0 BER 0.0000
```
Use Octave to look at plots of 1 second (1400 bits) of modem operation:
```
$ cd codec2/octave
$ octave-cli
octave:1> fdmdv_demod_c("../build_linux/src/demod_dump.txt",14000)
```
1. Test with timing slips due to sample clock offset of 1000ppm:
```
$ ./fdmdv_get_test_bits - 30000 | ./fdmdv_mod - - | sox -t raw -t .s16 -r 8000 - -t .s16 -r 7990 - | ./fdmdv_demod - - 14 demod_dump.txt | ./fdmdv_put_test_bits -
octave:98> fdmdv_demod_c("../build_linux/src/demod_dump.txt",28000)
27552 bits 0 errors BER: 0.0000
```
1. Run Octave simulation of entire modem and AWGN channel:
```
$ cd codec2/octave
$ octave-cli
octave:1> fdmdv_ut
```
## References
1. [FreeDV 1600 Specification](https://freedv.org/freedv-specification)
1. [Testing a FDMDV Modem](http://www.rowetel.com/blog/?p=2433)
## C Code
| File | Description |
| --- | --- |
| src/fdmdv_mod.c | C version of modulator that takes a file of bits and converts it to a raw file of modulated samples |
| src/fdmdv_demod.c | C version of demodulator that takes a raw file of modulated samples and outputs a file of bits. Optionally dumps demod states to a text file which can be plotted using the Octave script fdmdv_demod_c.m |
| src/codec2_fdmdv.h | Header file that exposes FDMDV C API functions |
| src/fdmdv.c | C functions that implement the FDMDV modem |
| src/fdmdv-internal.h | Internal states and constants for FDMDV modem, shouldn't be exposed to application program |
| unittest/tfdmdv.c | Used to conjunction with unittest/tfdmdv.m to automatically test C FDMDV functions against Octave versions |
## Octave Scripts
Note these require some Octave packages to be installed, see [README](README.md)
| File | Description |
| --- | --- |
| fdmdv.m | Functions and variables that implement the Octave version of the FDMDV modem |
| fdmdv_ut.m | Unit test for fdmdv Octave code, useful while developing algorithm. Includes tx/rx plus basic channel simulation |
| fdmdv_mod.m | Octave version of modulator that outputs a raw file. The modulator is driven by a test frame of bits. This can then be played over a real channel or through a channel simulator like PathSim. The sample rate can be changed using "sox" to simulate differences in tx/rx sample clocks |
| fdmdv_demod.m | Demodulator program that takes a raw file as input, and works out the bit error rate using known test frames. Can be used to test the demod performance with off-air signals, or signals that have been passed through a channel simulator |
| fdmdv_demod_c.m | Takes an output text file from the C demod fdmdv_demod.c and produces plots and measures BER. Useful for evaluating fdmdv_demod.c performance. The plots produced are identical to the Octave version fdmdv_demod.m, allowing direct comparison of the C and Octave versions |
| tfdmdv.m | Automatic tests that compare the Octave and C versions of the FDMDV modem functions. First run unittest/tfdmdv, this will generate a text file with test vectors from the C version. Then run the Octave script tfdmdv and it will generate Octave versions of the test vectors and compare each vector with the C equivalent. It plots the vectors and errors (green). It also produces an automatic checklist based on test results. If the Octave or C modem code is changed, this script should be used to ensure the C and Octave versions remain identical. This process has been wrapped up in the `ctest -R test_FDMDV_modem_octave_port`. |
1. Typical fdmdv_ut run:
```
octave:6> fdmdv_ut
Eb/No (meas): 7.30 (8.29) dB
bits........: 2464
errors......: 20
BER.........: 0.0081
PAPR........: 13.54 dB
SNR.........: 4.0 dB
```
It also outputs lots of nice plots that show the operation of the modem.
For a 1400 bit/s DQPSK modem we expect about 1% BER for Eb/No = 7.3dB, which corresponds to SNR = 4dB (3kHz noise BW). The extra dB of measured power is due to the DBPSK pilot. Currently the noise generation code doesn't take the pilot power into account, so in this example the real SNR is actually 5dB.
1. To generate 10 seconds of modulated signal:
```
octave:8> fdmdv_mod("test.raw",1400*10);
```
To demodulate 2 seconds of the test.raw file generated above:
```
octave:9> fdmdv_demod("test.raw",1400*2);
2464 bits 0 errors BER: 0.0000
```
It also produces several plots showing the internal states of the demod. Useful for debugging and observing what happens with various channels.
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# FreeDV Technology
FreeDV is an open source digital voice protocol that integrates modems, speech codecs, and FEC.
On transmit, FreeDV converts speech to a modem signal you can send over a radio channel. On receive, FreeDV takes off air modem signals and converts them to speech samples.
FreeDV is available as a GUI application, an open source library (FreeDV API), and in hardware (the SM1000 FreeDV adaptor). FreeDV is part of the Codec 2 project.
This document gives an overview of the technology inside FreeDV, and some additional notes on building/using the FreeDV 2020 and 2400A/2400B modes.
![FreeDV mode knob](http://www.rowetel.com/images/codec2/mode_dv.jpg)
## FreeDV API
The general programming model is:
```
speech samples -> FreeDV encode -> modulated samples (send over radio) -> FreeDV decode -> speech samples
```
The `codec2/demo` directory provides simple FreeDV API demo programs written in C and Python to help you get started, for example:
```
cd codec2/build_linux
cat ../raw/ve9qrp_10s.raw | ./demo/freedv_700d_tx | ./demo/freedv_700d_rx | aplay -f S16_LE
```
The current demo programs are as follows:
| Program | Description |
| --- | --- |
| [c2demo.c](demo/c2demo.c) | Encode and decode speech with Codec 2 |
| [freedv_700d_tx.c](demo/freedv_700d_tx.c) | Transmit a voice signal using the FreeDV API |
| [freedv_700d_rx.c](demo/freedv_700d_rx.c) | Receive a voice signal using the FreeDV API |
| [freedv_700d_rx.py](demo/freedv_700d_rx.py) | Receive a voice signal using the FreeDV API in Python |
| [freedv_datac1_tx.c](demo/freedv_datac1_tx.c) | Transmit raw data frames using the FreeDV API |
| [freedv_datac1_rx.c](demo/freedv_datac1_rx.c) | Receive raw data frames using the FreeDV API |
| [freedv_datac0c1_tx.c](demo/freedv_datac0c1_tx.c) | Transmit two types of raw data frames using the FreeDV API |
| [freedv_datac0c1_rx.c](demo/freedv_datac0c1_rx.c) | Receive two types of raw data frames using the FreeDV API |
So also [freedv_api.h](src/freedv_api.h) and [freedv_api.c](src/freedv_api.c) for the full list of API functions. Only a small set of these functions are needed for basic FreeDV use, please see the demo programs for minimal examples.
The full featured command line demo programs [freedv_tx.c](src/freedv_tx.c) & [freedv_rx.c](src/freedv_rx.c) demonstrate many features of the API:
```
$ ./freedv_tx 1600 ../../raw/hts1.raw - | ./freedv_rx 1600 - - | aplay -f S16_LE
$ cat freedv_rx_log.txt
```
Speech samples are input to the API as 16 bit signed integers. Modulated samples can be in real 16 bit signed integer or complex float. The expected sample rates can be found with `freedv_get_speech_sample_rate()` and `freedv_get_modem_sample_rate()`. These are typically 8000 Hz but can vary depending on the current FreeDV mode.
## FreeDV HF Modes
These are designed for use with a HF SSB radio.
| Mode | Date | Codec | Modem | RF BW | Raw bits/s | FEC | Text bits/s | SNR min | Multipath |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1600 | 2012 | Codec2 1300 | 14 DQPSK + 1 DBPSK pilot carrier | 1125 | 1600 | Golay (23,12) | 25 | 4 | poor |
| 700C | 2017 | Codec2 700C | 14 carrier coherent QPSK + diversity | 1500 | 1400 | - | - | 2 | good |
| 700D | 2018 | Codec2 700C | 17 carrier coherent OFDM/QPSK | 1000 | 1900 | LDPC (224,112) | 25 | -2 | fair |
| 700E | 2020 | Codec2 700C | 21 carrier coherent OFDM/QPSK | 1500 | 3000 | LDPC (112,56) | 25 | 1 | good |
| 2020 | 2019 | LPCNet 1733 | 31 carrier coherent OFDM/QPSK | 1600 | 3000 | LDPC (504,396) | 22 | 2 | poor |
| 2020B | 2022 | LPCNet 1733 | 29 carrier coherent OFDM/QPSK | 2100 | 4100 | LDPC (112,56) unequal | 22.2 | 3 | good |
| 2020C | 2022 | LPCNet 1733 | 29 carrier coherent OFDM/QPSK | 2100 | 4100 | LDPC (212,158) | 22.2 | 5 | good |
Notes:
1. *Raw bits/s* is the number of payload bits/s carried over the channel by the modem. This consists of codec frames, FEC parity bits, unprotected text, and synchronisation information such as pilot and unique word bits. The estimates are open to interpretation for the OFDM waveforms due to pilot symbol and cyclic prefix considerations (see spreadsheet).
1. *RF BW* is the bandwidth of the RF signal over the air. FreeDV is more bandwidth efficient than SSB.
1. *Multipath* is the relative resilience of the mode to multipath fading, the biggest problem digital voice faces on HF radio channels. Analog SSB would be rated as "good".
1. *Text* is a side channel for low bit rate text such as your location and call sign. It is generally unprotected by FEC, and encoded with varicode. The exception is if reliable_text support is turned on (see reliable_text.c/h); this results in text protected by LDPC(112,56) FEC with interleaving.
1. *SNR Min* is for an AWGN channel (no multipath/fading).
1. All of the modems use multiple parallel carriers running at a low symbol rate of around 50 Hz. This helps combat the effects of multipath channels.
1. Some of the Codec 2 modes (2400/1300/700C etc) happen to match the name of a FreeDV mode. For example FreeDV 700C uses Codec 2 700C for voice compression. However FreeDV 700D *also* uses Codec 2 700C for voice compression, but has a very different modem waveform to FreeDV 700C. Sorry for the confusing nomenclature.
1. Coherent demodulation gives much better performance than differential, at the cost of some additional complexity. Pilot symbols are transmitted regularly to allow the demod to estimate the reference phase of each carrier.
1. The 1600 and 700C waveforms use parallel tone modems, later modes use OFDM. OFDM gives tighter carrier packing which allows higher bit rates, but tends to suffer more from frequency offsets and delay spread.
1. At medium to high SNRs, FreeDV 700C performs well (better than 700D) on fast fading multipath channels with large delay spread due its parallel tone design and high pilot symbol rate. It employs transmit diversity which delivers BER performance similar to modes using FEC. FreeDV 700C also has a short frame (40ms), so syncs fast with low latency. Fast sync is useful on marginal channels that move between unusable and barely usable.
1. FreeDV 700D uses an OFDM modem and was optimised for low SNR channels, with strong FEC but a low pilot symbol rate and modest (2ms) cyclic prefix which means its performance degrades on multipath channels with fast (> 1Hz) fading. The use of strong FEC makes this mode quite robust to other channel impairments, such as static crashes, urban HF noise, and in-band interference.
1. FEC was added fairly recently to FreeDV modes. The voice codecs we use work OK at bit error rates of a few %, and packet error rates of 10%. Raw bit error rates on multipath channels often exceed 10%. For reasonable latency (say 40ms) we need small codewords. Thus to be useful we require a FEC code that works at over 10% raw BER, has 1% output (coded) bit error rate, and a codeword of around 100 bits. Digital voice has unusual requirements, most FEC codes are designed for data which is intolerant of any bit errors, and few operate over 10% raw BER. Powerful FEC codes have long block lengths (1000's of bits) which leads to long latency. However LDPC codes come close, and can also "clean up" other channel errors caused by static and interference. The use of OFDM means we now have "room" for the extra bits required for FEC, so there is little cost in adding it, apart from latency.
1. 2020B uses unequal error protection, only 11 bits from each 52 bit vocoder frame are protected by FEC. This provides strong protection of the most important bits. The effect is a gentle "slope" in the speech quality versus SNR curve, but with some audible errors even at high SNRs. 2020C has a LDPC code that protects all bits - it will have no audible errors at high SNRs, but will fall over at about 5dB SNR. 2020B and 2020C have a modem waveform similar to 700E - a high pilot symbol rate to operate on fast fading channels. Compared to 2020, B&C have a shorter frame duration (90ms), lower latency and faster sync, but require a few more dB SNR.
## FreeDV VHF Modes
These modes use constant amplitude modulation like FSK or FM, and are designed for VHF and above. However 800XA can be run over HF or VHF on a SSB radio.
| Mode | Date | Codec2 | Modem | RF BW | Raw bits/s | FEC | Text bits/s |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 2400A | 2016 | 1300 | 4FSK | 5kHz | 2400 | Golay (23,12) | 50 |
| 2400B | 2016 | 1300 | baseband/analog FM | analog FM | 2400 | Golay (23,12) | 50 |
| 800XA | 2017 | 700C | 4FSK | 2000 | 800 | - | N |
| FSK_LDPC | 2020 | - | 2 or 4 FSK | user defined | user defined | LDPC | - | - |
The FSK_LDPC mode is used for data, and has user defined bit rate and a variety of LDPC codes available. It is discussed in [README_data](README_data.md)
## FreeDV 2400A and 2400B modes
FreeDV 2400A and FreeDV 2400B are modes designed for VHF radio. FreeDV 2400A is designed for SDR radios (it has a 5 kHz RF bandwidth), however FreeDV 2400B is designed to pass through commodity FM radios.
Demos of FreeDV 2400A and 2400B:
```
$ ./freedv_tx 2400A ../../raw/ve9qrp_10s.raw - | ./freedv_rx 2400A - - | play -t .s16 -r 8000 -
$ ./freedv_tx 2400B ../../raw/ve9qrp_10s.raw - | ./freedv_rx 2400B - - | play -t .s16 -r 8000 -
```
Note for FreeDV 2400A/2400B the modem signal sample rate is 48kHz. To
listen to the modem tones from FreeDV 2400B, or play them into a FM HT
mic input:
```
$ ./freedv_tx 2400B ../../raw/ve9qrp_10s.raw - | play -t .s16 -r 48000 -
```
Simulate FreeDV 2400B passing through a 300 to 3000 Hz audio path using sox to filter:
```
$ ./freedv_tx 2400B ../../raw/ve9qrp_10s.raw - | sox -t .s16 -r 48000 - -t .s16 - sinc 300-3000 | ./freedv_rx 2400B - - | play -t .s16 -r 8000 -
```
## FreeDV 2020 support (building with LPCNet)
1. Build LPCNet:
```
$ cd ~
$ git clone https://github.com/drowe67/LPCNet
$ cd LPCNet && mkdir build_linux && cd build_linux
$ cmake ..
$ make
```
1. Build Codec 2 with LPCNet support:
```
$ cd ~/codec2/build_linux && rm -Rf *
$ cmake -DLPCNET_BUILD_DIR=~/LPCNet/build_linux ..
$ make
```
## FreeDV 2020 tests with FreeDV API
```
$ cat ~/LPCNet/wav/wia.wav | ~/LPCNet/build_linux/src/lpcnet_enc -s | ./ofdm_mod --mode 2020 --ldpc --verbose 1 | ./ofdm_demod --mode 2020 --verbose 1 --ldpc | ~/LPCNet/build_linux/src/lpcnet_dec -s | aplay -f S16_LE -r 16000
```
Listen the reference tx:
```
$ cat ~/LPCNet/wav/wia.wav | ~/LPCNet/build_linux/src/lpcnet_enc -s | ./ofdm_mod --mode 2020 --ldpc --verbose 1 | aplay -f S16_LE
```
Listen the freedv_tx:
```
$ ./freedv_tx 2020 ~/LPCNet/wav/wia.wav - | aplay -f S16_LE
```
FreeDV API tx, with reference rx from above:
```
$ ./freedv_tx 2020 ~/LPCNet/wav/wia.wav - | ./ofdm_demod --mode 2020 --verbose 1 --ldpc | ~/LPCNet/build_linux/src/lpcnet_dec -s | aplay -f S16_LE -r 16000
```
FreeDV API tx and rx:
```
$ ./freedv_tx 2020 ~/LPCNet/wav/all.wav - | ./freedv_rx 2020 - - | aplay -f S16_LE -r 16000
$ ./freedv_tx 2020 ~/LPCNet/wav/all.wav - --testframes | ./freedv_rx 2020 - /dev/null --testframes -vv
```
Simulated HF slow fading channel, 10.8dB SNR:
```
$ ./freedv_tx 2020 ~/LPCNet/wav/all.wav - | ./ch - - --No -30 --slow | ./freedv_rx 2020 - - | aplay -f S16_LE -r 16000
```
It falls down quite a bit with fast fading (--fast):
AWGN (noise but no fading) channel, 2.8dB SNR:
```
$ ./freedv_tx 2020 ~/LPCNet/wav/all.wav - | ./ch - - --No -22 | ./freedv_rx 2020 - - | aplay -f S16_LE -r 16000
```
## Command lines for PER testing 700D/700E PER with clipper
AWGN:
```
$ ./src/freedv_tx 700D ../raw/ve9qrp.raw - --clip 0 --testframes | ./src/ch - - --No -16 | ./src/freedv_rx 700D - /dev/null --testframes
```
MultiPath Poor (MPP):
```
$ ./src/freedv_tx 700D ../raw/ve9qrp.raw - --clip 0 --testframes | ./src/ch - - --No -24 --mpp --fading_dir unittest | ./src/freedv_rx 700D - /dev/null --testframes
```
Adjust `--clip [0|1]` and `No` argument of `ch` to obtain a PER of just less than 0.1, and note the SNR and PAPR reported by `ch`. The use of the `ve9qrp` samples makes the test run for a few minutes, in order to get reasonable multipath channel results.
Low SNR MPP channel 2020B command line:
```
cat ~/LPCNet/wav/all.wav | ~/LPCNet/build_linux/src/lpcnet_enc -x | ./src/ofdm_mod --mode 2020B --ldpc --clip --txbpf | ./src/ch - - --No -22 --mpd | ./src/ofdm_demod --mode 2020B --verbose 1 --ldpc | ~/LPCNet/build_linux/src/lpcnet_dec -x | aplay -f S16_LE -r 16000
```
## Reading Further
1. [FreeDV web site](http://freedv.org)
1. [FreeDV GUI User Manual](https://github.com/drowe67/freedv-gui/blob/master/USER_MANUAL.md)
1. [Codec 2](http://rowetel.com/codec2.html)
1. FreeDV can also be used for data [README_data](https://github.com/drowe67/codec2/blob/master/README_data.md)
1. [FreeDV 1600 specification](https://freedv.org/freedv-specification)
1. [FreeDV 700C blog post](http://www.rowetel.com/wordpress/?p=5456)
1. [FreeDV 700D Released blog post](http://www.rowetel.com/wordpress/?p=6103)
1. [FreeDV 2020 blog post](http://www.rowetel.com/wordpress/?p=6747)
1. [FreeDV 2400A blog post](http://www.rowetel.com/?p=5119)
1. [FreeDV 2400A & 2400B](http://www.rowetel.com/?p=5219)
1. Technical information on various modem waveforms in the [modem codec frame design spreadsheet](https://github.com/drowe67/codec2/blob/master/doc/modem_codec_frame_design.ods)
1. [Modems for HF Digital Voice Part 1](http://www.rowetel.com/wordpress/?p=5420)
1. [Modems for HF Digital Voice Part 2](http://www.rowetel.com/wordpress/?p=5448)
1. [FDMDV modem README](README_fdmdv.md)
1. [OFDM modem README](README_ofdm.md)
1. Many blog posts in the [rowetel.com blog archives](http://www.rowetel.com/?page_id=6172)
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# README_fsk
A FSK modem with a non-coherent demodulator. Performance is within a fraction of a dB of ideal. The demodulator automagically estimates the tone frequencies and tracks frequency drift.
Here is a typical Bit Error Rate (BER) versus Eb/No curve:
![BER versus Eb/No curve](doc/fsk_modem_ber_8000_100.png)
Note how close the theory line is to measured performance.
This modem can demodulate FSK signals that sound like [this sample](doc/lockdown_3s.wav); and is used to receive images from the [edge of space](https://github.com/projecthorus/wenet):
![HAB image from edge of space](doc/wenet_image.jpg)
## Credits
The Octave version of the modem was developed by David Rowe. Brady O'Brien ported the modem to C, and wrote the C/Octave tests. The modem is being maintained by David Rowe. Mark Jessop has helped improve the modem operation by testing against various balloon telemtry waveforms. Bill Cowley has developed the Log Likelihood Ratio (LLR) algorithms for 4FSK.
## Quickstart
1. Build codec2:
```
$ cd codec2 && mkdir build_linux && cmake .. && make
```
1. Generate 1000 test bits, modulate them using 2FSK using a 8000 Hz sample rate, 100 bits/s, play on your sound card:
```
$ cd ~/codec2/build_linux/src
$ ./fsk_get_test_bits - 1000 | ./fsk_mod 2 8000 100 1200 1200 - - | aplay -f S16_LE
```
The low tone frequency is 1200Hz, and the upper tone 1200 + 1200 = 2400Hz.
1. Add the demodulator and measure the bit error rate over 10,000 bits of 100 bit/s 2FSK:
```
$ ./fsk_get_test_bits - 10000 | ./fsk_mod 2 8000 100 1200 100 - - | ./fsk_demod 2 8000 100 - - | ./fsk_put_test_bits -
<snip>
[0099] BER 0.000, bits tested 9900, bit errors 0
PASS
```
We get a Bit Error Rate (BER) of 0, as there is no channel noise to induce bit errors.
1. Same thing but this time with 4FSK, and less verbose output:
```
$ ./fsk_get_test_bits - 10000 | ./fsk_mod 4 8000 100 1200 100 - - | ./fsk_demod 4 8000 100 - - | ./fsk_put_test_bits -q -
<snip>
[0099] BER 0.000, bits tested 9900, bit errors 0
PASS
```
1. Lets add some channel noise:
```
$ ./fsk_get_test_bits - 10000 | ./fsk_mod 2 8000 100 1200 100 - - | ./ch - - --No -26 | ./fsk_demod 2 8000 100 - - | ./fsk_put_test_bits -b 0.015 -
<snip>
SNR3k(dB): -5.76 C/No: 29.0 PAPR: 3.0
[0099] BER 0.010, bits tested 9900, bit errors 103
PASS
```
The `ch` utility takes the FSK modulator signal, and adds calibrated noise to it (the `--No -26` value specifies the noise). Try changing the noise level, and note how the Bit Error Rate (BER) changes. The BER is 0.01, which is right on theory for this sort of FSK demodulator at this SNR (2FSK non-coherent demodulator Eb/No=9dB).
The SNR is calculated using the signal power divided by the noise power in 3000 Hz. The C/No value is the same thing, but uses a noise bandwidth of 1 Hz. There is less noise power when you look at just 1Hz, so C/No is higher. Peak to Average Power ratio (PAPR) is 3dB as a FSK signal is just a single sine wave, and a sine wave peak is 3dB higher than it's average.
1. You can visualise the C modem operation with a companion python script, for example:
```
$ ./fsk_get_test_bits - 10000 | ./fsk_mod -p 10 4 8000 400 400 400 - - | ./fsk_demod -p 10 -t1 4 8000 400 - /dev/null 2>stats.txt
$ python ../../octave/plot_fsk_demod_stats.py stats.txt
```
1. Send some digital voice using FSK at 800 bits/s, and try the two 2400 bits/s FSK modes:
```
$ ./freedv_tx 800XA ../../raw/ve9qrp.raw - | ./freedv_rx 800XA - - -vv | aplay -f S16_LE
$ ./freedv_tx 2400A ../../raw/ve9qrp.raw - | ./freedv_rx 2400A - - -vv | aplay -f S16_LE
$ ./freedv_tx 2400B ../../raw/ve9qrp.raw - | ./freedv_rx 2400B - - -vv | aplay -f S16_LE
```
1. LDPC encoded 4FSK, with framing:
```
$ cd ~/codec2/build_linux/src
$ ./ldpc_enc /dev/zero - --code H_256_512_4 --testframes 200 |
./framer - - 512 5186 | ./fsk_mod 4 8000 100 1000 100 - - |
./ch - - --No -24 |
./fsk_demod -s 4 8000 100 - - |
./deframer - - 512 5186 |
./ldpc_dec - /dev/null --code H_256_512_4 --testframes
<snip>
SNR3k(dB): -7.74 C/No: 27.0 PAPR: 3.0
Raw Tbits: 100352 Terr: 6701 BER: 0.067
Coded Tbits: 50176 Terr: 139 BER: 0.003
Tpkts: 196 Tper: 4 PER: 0.020
```
In this example the unique word is the 16 bit sequence `5186`. See also several ctests using these application. Other codes are also available:
```
$ ./ldpc_enc --listcodes
H2064_516_sparse rate 0.80 (2580,2064)
HRA_112_112 rate 0.50 (224,112)
HRAb_396_504 rate 0.79 (504,396)
H_256_768 rate 0.33 (768,256)
H_256_512_4 rate 0.50 (512,256)
HRAa_1536_512 rate 0.75 (2048,1536)
H_128_256_5 rate 0.50 (256,128)
```
If you change the code you also need to change the `frameSizeBits` argument in `framer/deframer` (`512` in the example above).
1. The FSK/LDPC/framer steps above have been combined in a FreeDV API mode. See "FSK LDPC Raw Data Mode" in [README_data.md](README_data.md).
1. FSK modem C files in ```codec2/src```:
| File | Description |
| --- | --- |
| fsk.c/fsk.h | core FSK modem library |
| fsk_mod.c | command line modulator |
| fsk_demod.c | command line demodulator |
| fsk_get_test_bits.c | source of test bits |
| fsk_put_test_bits.c | test bit sync, counts bit errors and packet errors |
| fsk_mod_ext_vco.c | modulator that uses an external FSK oscillator |
| framer.c | adds a unique word to a frame of bits to implement frame sync for LDPC codewords |
| deframer.c | locates and strips a unique word to implement frame sync for LDPC codewords |
| tollr.c | converts bits to LLRs for testing LDPC framing |
1. GNU Octave files in ```codec2/octave```:
| File | Description |
| --- | --- |
| fsk_lib.m | Core FSK modem library |
| fsk_lib_demo.m | A demonstration of fsk_lib, runs a single point BER test |
| fsk_demod_file.m | Demodulates FSK signals from a file, useful for debugging FSK waveforms |
| tfsk.m | automated test that compares the C and Octave versions of the modem |
| fsk_lib_ldpc_demo.m | CML library LLR routines and LDPC codes with fsk_lib.m |
You can run many of them from the Octave command line:
```
$ octave --no-gui
octave:1> fsk_lib_demo
```
1. A suite of automated ctests that exercise the C and Octave code:
```
$ cd ~/codec2/build_linux
$ ctest -R test_fsk
1/9 Test #39: test_fsk_lib ...................... Passed 3.37 sec
3/9 Test #41: test_fsk_modem_octave_port ........ Passed 4.17 sec
4/9 Test #42: test_fsk_modem_mod_demod .......... Passed 0.06 sec
5/9 Test #43: test_fsk_2fsk_ber ................. Passed 0.24 sec
6/9 Test #44: test_fsk_4fsk_ber ................. Passed 0.12 sec
7/9 Test #45: test_fsk_4fsk_ber_negative_freq ... Passed 0.07 sec
8/9 Test #46: test_fsk_4fsk_lockdown ............ Passed 2.84 sec
9/9 Test #47: test_fsk_vhf_framer ............... Passed 0.06 sec
```
These are written in ```codec2/CmakeLists.txt```, inspect them to find out how we test the modem.
1. ```fsk_demod_file.m``` is useful for peering inside the modem, for example when debugging.
```
$ 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)
```
## Further Reading
Here are some links to projects and blog posts that use this modem:
1. [Horus Binary](https://github.com/projecthorus/horusbinary) High Altitude Balloon (HAB) telemetry protocol, 3 second updates, works at 7dB lower SNR that RTTY.
1. [Testing HAB Telemetry, Horus binary waveform](http://www.rowetel.com/?p=5906)
1. A really useful reference on a variety of modulation techniques from [Atlanta DSP](http://www.atlantarf.com/FSK_Modulation.php). I keep this handy when experimenting with modems.
1. The [RTTY modem project](http://www.rowetel.com/?p=4629) that kicked off the FSK modem work.
1. [Wenet](https://github.com/projecthorus/wenet) - high speed SSTV images from balloons at the edge of space
1. [Wenet High speed SSTV images](http://www.rowetel.com/?p=5344)
1. [FreeDV 2400A and 2400B](http://www.rowetel.com/?p=5219), digital speech for VHF/UHF radios.
1. [HF FSK with Rpitx](http://www.rowetel.com/?p=6317), a zero hardware FSK transmitter using a Pi
1. [Eb/No and SNR worked Example](http://www.rowetel.com/wordpress/?p=4621)
1. [FSK LLR LDPC Code Experiments](https://github.com/drowe67/codec2/pull/129)
1. [FreeDV API FSK LDPC Raw Data Mode](README_data.md)
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# README_ofdm
An Orthogonal Frequency Division Multiplexed (OFDM) modem designed for digital voice over HF SSB. Typical configuration for FreeDV 700D is 700 bit/s voice, a rate 0.5 LDPC code, and 1400 bit/s raw data rate over the channel.
The OFDM modem was first implemented in GNU Octave, then ported to C. Algorithm development is generally easier in Octave, but for real time work we need the C version. Automated units tests ensure the operation of the Octave and C versions are identical.
## Credits
Steve, David, Don, Richard
## References
1. Spreadsheet describing the [waveform design](doc/modem_codec_frame_design.ods) The OFDM tab descrives the baseline 700D OFDM waveform.
1. This modem can be used for sending [raw data frames](README_data.md) over HF channels.
1. [Towards FreeDV 700D](https://www.rowetel.com/?p=5573)
1. [FreeDV 700D - First Over The Air Tests](https://www.rowetel.com/?p=5630)
1. [Steve Ports an OFDM modem from Octave to C](https://www.rowetel.com/?p=5824)
1. [Modems for HF Digital Voice Part 1](http://www.rowetel.com/wordpress/?p=5420)
1. [Modems for HF Digital Voice Part 2](http://www.rowetel.com/wordpress/?p=5448)
# Examples
Built as part of codec2-dev, see [README](README.md) for build instructions.
1. Generate 10 seconds of test frame bits, modulate, and play audio
out of sound device (SoX v14.4.2):
```
$ build_linux/src$ ./ofdm_mod --in /dev/zero --testframes 10 | play --type s16 --rate 8000 --channels 2 -
```
1. Generate 10 seconds of uncoded test frame bits, modulate, demodulate, count errors:
```
$ build_linux/src$ ./ofdm_mod --in /dev/zero --testframes 10 | ./ofdm_demod --out /dev/null --testframes --verbose 1 --log demod_dump.txt
```
Use Octave to look at plots of C modem operation:
```
$ cd ../../octave
$ octave --no-gui
octave:1> ofdm_demod_c("../build_linux/src/demod_dump.txt")
```
1. Run Octave versions of mod and demod (called tx and rx to avoid namespace clashes in Octave):
```
$ cd ~/octave
$ octave --no-gui
octave:1> ofdm_tx("ofdm_test.raw","700D",10)
octave:1> ofdm_rx("ofdm_test.raw")
```
The Octave modulator ofdm_tx can simulate channel impairments, for
example AWGN noise at 4dB SNR:
```
octave:1> ofdm_tx("ofdm_test.raw", "700D", 10, 4)
```
The Octave versions use the same test frames as C so can interoperate.
```
build_linux/src$ ./ofdm_demod --in ../../octave/ofdm_test.raw --out /dev/null --testframes --verbose 1
```
1. Run mod/demod with LDPC FEC; 60 seconds, 3dB SNR:
```
octave:6> ofdm_ldpc_tx('ofdm_test.raw',"700D",60,3)
octave:7> ofdm_ldpc_rx('ofdm_test.raw',"700D")
```
C demodulator/LDPC decoder:
```
build_linux/src$ ./ofdm_demod --in ../../octave/ofdm_test.raw --out /dev/null --verbose 1 --testframes --ldpc
```
1. Pass Codec 2 700C compressed speech through OFDM modem:
```
build_linux/src$ ./c2enc 700C ../../raw/ve9qrp_10s.raw - --bitperchar | ./ofdm_mod --ldpc | ./ofdm_demod --ldpc | ./c2dec 700C - - --bitperchar | play --type s16 --rate 8000 --channels 1 -
```
1. Listen to signal through simulated fading channel in C:
```
build_linux/src$ ./c2enc 700C ../../raw/ve9qrp_10s.raw - --bitperchar | ./ofdm_mod --ldpc | ./ch - - --No -20 --mpg -f -5 | aplay -f S16
```
1. Run test frames through simulated channel in C:
```
build_linux/src$ ./ofdm_mod --in /dev/zero --ldpc --testframes 20 | ./ch - - --No -24 -f -10 --mpp | ./ofdm_demod --out /dev/null --testframes --verbose 1 --ldpc
```
1. Run codec voice through simulated fast fading channel, just where it starts to fall over:
```
build_linux/src$ ./c2enc 700C ../../raw/ve9qrp.raw - --bitperchar | ./ofdm_mod --ldpc | ./ch - - --No -24 -f -10 --mpp | ./ofdm_demod --ldpc --verbose 1 | ./c2dec 700C - - --bitperchar | aplay -f S16
```
1. FreeDV 1600 on the same channel conditions, roughly same quality at 8dB higher SNR:
```
build_linux/src$ ./freedv_tx 1600 ../../raw/ve9qrp_10s.raw - | ./ch - - --No -30 -f -10 --mpp | ./freedv_rx 1600 - - | aplay -f S16
```
1. Using FreeDV API test programs:
```
build_linux/src$ ./freedv_tx 700D ../../raw/hts1a.raw - --testframes | ./freedv_rx 700D - /dev/null --testframes
build_linux/src$ ./freedv_tx 700D ../../raw/hts1a.raw - | ./freedv_rx 700D - - | aplay -f S16
build_linux/src$ ./freedv_tx 700D ../../raw/ve9qrp.raw - | ./ch - - --No -26 -f -10 --mpp | ./freedv_rx 700D - - | aplay -f S16
```
## FreeDV 2020 extensions
1. 20.5ms symbol period, 31 carrier waveform, (504,396) code, but only 312 data bits used, so we don't send unused data bits. This means we need less carriers (so more power per carrier), and code rate is increased slightly:
```
build_linux/src$ ./ofdm_mod --in /dev/zero --testframes 300 --mode 2020 --ldpc 1 --verbose 1 | ./ch - - --No -22 -f 10 --ssbfilt 1 | ./ofdm_demod --out /dev/null --testframes --mode 2020 --verbose 1 --ldpc
SNR3k(dB): 2.21 C/No: 37.0 PAPR: 9.6
BER......: 0.0505 Tbits: 874020 Terrs: 44148
Coded BER: 0.0096 Tbits: 649272 Terrs: 6230
```
## Acquisition tests
1. Acquisition (getting sync) can be problematic in fading channels. Some special tests have been developed, that measure acquisition time on off air 700D samples at different time offsets:
```
octave:61> ofdm_ldpc_rx("../wav/vk2tpm_004.wav", "700D", "", 5, 4)
build_linux/src$ ./ofdm_demod --in ../../wav/vk2tpm_004.wav --out /dev/null --verbose 2 --ldpc --start_secs 5 --len_secs 4
```
1. Different time offsets effectively tests the ability to sync on fading channel in different states. Stats for a series of these tests can be obtained with:
```
octave:61> ofdm_time_sync("../wav/vk2tpm_004.wav", 30)
<snip>
pass: 30 fails: 0 mean: 1.35 var 0.51
```
## Octave Acceptance Tests
Here are some useful tests for the Octave, uncoded modem.
The rate 1/2 LDPC code can correct up to about 10% raw BER, so a good test is to run the modem at Eb/No operating points that produce just less that BER=0.1. The BER2 measure truncates the effect of any start up transients, e.g. as the frequency offset is tracked out.
1. HF Multipath:
```
octave:580> ofdm_tx("ofdm_test.raw","700D",60,2,'mpm',20)
octave:581> ofdm_rx("ofdm_test.raw")
BER2.: 0.0803 Tbits: 84728 Terrs: 6803
```
1. AWGN:
```
octave:582> ofdm_tx("ofdm_test.raw","700D",60,-2,'awgn')
octave:583> ofdm_rx("ofdm_test.raw")
BER2.: 0.0885 Tbits: 84252 Terrs: 7459
```
## C Acceptance Tests
Here are some useful tests for the LDPC coded C version of the modem, useful to verify any changes.
1. AWGN channel, -2dB:
```
./ofdm_mod --in /dev/zero --ldpc --testframes 60 --txbpf | ./ch - - --No -20 -f -10 | ./ofdm_demod --out /dev/null --testframes --verbose 1 --ldpc
SNR3k(dB): -1.85 C/No: 32.9 PAPR: 9.8
BER......: 0.0815 Tbits: 98532 Terrs: 8031
Coded BER: 0.0034 Tbits: 46368 Terrs: 157
```
1. Fading HF channel:
```
./ofdm_mod --in /dev/zero --ldpc --testframes 60 --txbpf | ./ch - - --No -24 -f -10 --fast | ./ofdm_demod --out /dev/null --testframes --verbose 1 --ldpc
SNR3k(dB): 2.15 C/No: 36.9 PAPR: 9.8
BER......: 0.1015 Tbits: 88774 Terrs: 9012
Coded BER: 0.0445 Tbits: 41776 Terrs: 1860
```
Note: 10% Raw BER operating point on both channels, as per design.
# Data Modes
The OFDM modem can also support datac1/datac2/datac3 modes for packet data. The OFDM modem was originally designed for very short (28 bit) voice codec packets. For data, packets of hundreds to thousands of bits a desirable so we can use long, powerful FEC codewords, and reduce overhead. The datac1/datac2/datac3 QPSK modes are currently under development.
Here is an example of running the datac3 mode in a low SNR AWGN channel:
```
./src/ofdm_mod --mode datac3 --ldpc --in /dev/zero --testframes 60 --verbose 1 | ./src/ch - - --No -20 | ./src/ofdm_demod --mode datac3 --ldpc --out /dev/null --testframes -v 1
<snip>
SNR3k(dB): -3.54 C/No: 31.2 PAPR: 10.4
BER......: 0.1082 Tbits: 36096 Terrs: 3905 Tpackets: 47
Coded BER: 0.0000 Tbits: 12032 Terrs: 0
```
Note despite the raw BER of 10%, 47/50 packets are received error free.
# C Code
| File | Description |
| :-- | :-- |
| ofdm.c | OFDM library |
| codec2_ofdm.h | API header file for OFDM library |
| ofdm_get_test_bits | Generate OFDM test frames |
| ofdm_mod | OFDM modulator command line program |
| ofdm_demod | OFDM demodulator command line program, supports uncoded (raw) and LDPC coded test frames, LDPC decoding of codec data, and can output LLRs to external LDPC decoder |
| ofdm_put_test_bits | Measure BER in OFDM test frames |
| unittest/tofdm | Run C port of modem to compare with octave version (see octave/tofdm) |
| ch | C channel simulator |
# Octave Scripts
| File | Description |
| :-- | :-- |
| ofdm_lib | OFDM library |
| ofdm_dev | Used for modem development, run various simulations |
| ofdm_tx | Modulate test frames to a file of sample, cam add channel impairments |
| ofdm_rx | Demod from a sample file and count errors |
| tofdm | Compares Octave and C ports of modem |
| ofdm_ldpc_tx | OFDM modulator with LDPC FEC |
| ofdm_ldpc_rx | OFDM demodulator with LDPC FEC |
## Specifications
Nominal FreeDV 700D configuration:
| Parameter | Value |
| :-- | :-- |
| Modem | OFDM, pilot assisted coherent QPSK |
| Payload bits/s | 700 |
| Text bits/s | 25 (note 4) |
| Unique Word | 10 bits |
| Carriers | 17 |
| RF bandwidth | 944 Hz |
| Symbol period | 18ms
| Cyclic Prefix | 2ms (note 1)
| Pilot rate | 1 in every 8 symbols |
| Frame Period | 160ms |
| FEC | rate 1/2 (224,112) LDPC |
| Operating point | |
| AWGN | Eb/No -0.5dB SNR(3000Hz): -2.5dB (note 2) |
| HF Multipath | Eb/No 4.0dB SNR(3000Hz): 2.0dB (note 3) |
| Freq offset | +/- 60 Hz (sync range) |
| Freq drift | +/- 0.2 Hz/s (for 0.5 dB loss) |
| Sample clock error | 1000 ppm |
Notes:
1. Modem can cope with up to 2ms of multipath
1.
```
Ideal SNR(3000) = Eb/No + 10*log10(Rb/B)
= -1 + 10*log10(1400/3000)
= -4.3 dB
```
So we have about 1.8dB overhead for synchronisation, implementation loss, and the text channel.
1. "CCIR Poor" HF Multipath channel used for testing is two path, 1Hz Doppler, 1ms delay.
1. The text channel is an auxiliary channel, unprotected by FEC, that typically carries callsign/location information for Ham stations.
+24
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# As this script is run in a new cmake instance, it does not have access to
# the existing cache variables. Pass them in via the configure_file command.
set(CMAKE_BINARY_DIR @CMAKE_BINARY_DIR@)
set(CMAKE_SOURCE_DIR @CMAKE_SOURCE_DIR@)
set(UNIX @UNIX@)
set(WIN32 @WIN32@)
set(CMAKE_CROSSCOMPILING @CMAKE_CROSSCOMPILING@)
set(CMAKE_FIND_LIBRARY_SUFFIXES @CMAKE_FIND_LIBRARY_SUFFIXES@)
set(CMAKE_FIND_LIBRARY_PREFIXES @CMAKE_FIND_LIBRARY_PREFIXES@)
set(CMAKE_SYSTEM_LIBRARY_PATH @CMAKE_SYSTEM_LIBRARY_PATH@)
set(CMAKE_FIND_ROOT_PATH @CMAKE_FIND_ROOT_PATH@)
set(CODEC2_DLL ${CMAKE_BINARY_DIR}/src/libcodec2.dll)
include(${CMAKE_SOURCE_DIR}/cmake/GetPrerequisites.cmake)
get_prerequisites(${CODEC2_DLL} _deps 1 0 "" "")
foreach(_runtime ${_deps})
message("Looking for ${_runtime}")
find_library(RUNTIME_${_runtime} ${_runtime})
message("${RUNTIME_${_runtime}}")
if(RUNTIME_${_runtime})
file(INSTALL DESTINATION "${CMAKE_INSTALL_PREFIX}/bin"
TYPE EXECUTABLE FILES "${RUNTIME_${_runtime}}")
endif()
endforeach()
+23
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/*--------------------------------------------------------------------------
** This file is autogenerated from config.h.in
** during the cmake configuration of your project. If you need to make changes
** edit the original file NOT THIS FILE.
** --------------------------------------------------------------------------*/
#ifndef _CONFIGURATION_HEADER_GUARD_H_
#define _CONFIGURATION_HEADER_GUARD_H_
#define SIZEOF_INT @SIZEOF_INT@
#cmakedefine HAVE_STDLIB_H @HAVE_STDLIB_H@
#cmakedefine HAVE_STRING_H @HAVE_STRING_H@
#cmakedefine HAVE_FLOOR @HAVE_FLOOR@
#cmakedefine HAVE_CEIL @HAVE_CEIL@
#cmakedefine HAVE_MEMSET @HAVE_MEMSET@
#cmakedefine HAVE_POW @HAVE_POW@
#cmakedefine HAVE_SQRT @HAVE_SQRT@
#cmakedefine HAVE_SIN @HAVE_SIN@
#cmakedefine HAVE_COS @HAVE_COS@
#cmakedefine HAVE_ATAN2 @HAVE_ATAN2@
#cmakedefine HAVE_LOG10 @HAVE_LOG10@
#cmakedefine HAVE_ROUND @HAVE_ROUND@
#cmakedefine HAVE_GETOPT @HAVE_GETOPT@
#endif
+37
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@@ -0,0 +1,37 @@
/*---------------------------------------------------------------------------*\
FILE........: version.h
AUTHOR......: Tomas Härdin
DATE CREATED: 03 November 2017
Codec 2 VERSION #defines
\*---------------------------------------------------------------------------*/
/*
Copyright (C) 2017 Tomas Härdin
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/>.
*/
//this functions both as an include guard and your typical HAVE macro
#ifndef CODEC2_HAVE_VERSION
#define CODEC2_HAVE_VERSION
#define CODEC2_VERSION_MAJOR @CODEC2_VERSION_MAJOR@
#define CODEC2_VERSION_MINOR @CODEC2_VERSION_MINOR@
#cmakedefine CODEC2_VERSION_PATCH @CODEC2_VERSION_PATCH@
#define CODEC2_VERSION "@CODEC2_VERSION@"
#endif //CODEC2_HAVE_VERSION
+10
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@@ -0,0 +1,10 @@
prefix=@CMAKE_INSTALL_PREFIX@
libdir=@CMAKE_INSTALL_PREFIX@/@CMAKE_INSTALL_LIBDIR@
includedir=@CMAKE_INSTALL_PREFIX@/@CMAKE_INSTALL_INCLUDEDIR@
Name: codec2
Description: A speech codec for 2400 bit/s and below
Requires:
Version: @CODEC2_VERSION@
Libs: -L${libdir} -lcodec2
Cflags: -I${includedir} -I${includedir}/codec2
+18
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@@ -0,0 +1,18 @@
Pod::Spec.new do |s|
s.name = 'codec2'
s.version = '1.2.0'
s.summary = 'Codec2 voice codec'
s.description = 'Codec2 voice codec library (LGPL-2.1)'
s.homepage = 'https://www.rowetel.com/codec2.html'
s.license = { :type => 'LGPL-2.1', :file => 'COPYING' }
s.author = { 'David Rowe' => 'david@rowetel.com' }
s.source = { :path => '.' }
s.platform = :ios, '12.0'
s.source_files = 'src/**/*.{c,h}'
s.public_header_files = 'src/codec2.h'
s.pod_target_xcconfig = {
'HEADER_SEARCH_PATHS' => '"$(PODS_TARGET_SRCROOT)/src" "$(PODS_TARGET_SRCROOT)/include"',
}
s.compiler_flags = '-std=gnu11'
s.libraries = 'm'
end
+17
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add_definitions(-DFLOATING_POINT -DVAR_ARRAYS)
include_directories(../src)
add_executable(c2demo c2demo.c)
target_link_libraries(c2demo codec2)
add_executable(freedv_700d_tx freedv_700d_tx.c)
target_link_libraries(freedv_700d_tx codec2)
add_executable(freedv_700d_rx freedv_700d_rx.c)
target_link_libraries(freedv_700d_rx codec2)
add_executable(freedv_datac1_tx freedv_datac1_tx.c)
target_link_libraries(freedv_datac1_tx codec2)
add_executable(freedv_datac1_rx freedv_datac1_rx.c)
target_link_libraries(freedv_datac1_rx codec2)
add_executable(freedv_datac0c1_tx freedv_datac0c1_tx.c)
target_link_libraries(freedv_datac0c1_tx codec2)
add_executable(freedv_datac0c1_rx freedv_datac0c1_rx.c)
target_link_libraries(freedv_datac0c1_rx codec2)
+77
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/*---------------------------------------------------------------------------*\
FILE........: c2demo.c
AUTHOR......: David Rowe
DATE CREATED: 15/11/2010
Encodes and decodes a file of raw speech samples using Codec 2.
Demonstrates use of Codec 2 function API.
cd codec2/build_linux
./demo/c2demo ../raw/hts1a.raw his1a_out.raw
aplay -f S16_LE hts1a_out.raw
\*---------------------------------------------------------------------------*/
/*
Copyright (C) 2010 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/>.
*/
#include <stdio.h>
#include <stdlib.h>
#include "codec2.h"
int main(int argc, char *argv[]) {
struct CODEC2 *codec2;
FILE *fin;
FILE *fout;
if (argc != 3) {
printf("usage: %s InputRawSpeechFile OutputRawSpeechFile\n", argv[0]);
exit(1);
}
if ((fin = fopen(argv[1], "rb")) == NULL) {
fprintf(stderr, "Error opening input speech file: %s\n", argv[1]);
exit(1);
}
if ((fout = fopen(argv[2], "wb")) == NULL) {
fprintf(stderr, "Error opening output speech file: %s\n", argv[2]);
exit(1);
}
/* Note only one set of Codec 2 states is required for an encoder
and decoder pair. */
codec2 = codec2_create(CODEC2_MODE_1300);
size_t nsam = codec2_samples_per_frame(codec2);
short speech_samples[nsam];
/* Bits from the encoder are packed into bytes */
unsigned char compressed_bytes[codec2_bytes_per_frame(codec2)];
while (fread(speech_samples, sizeof(short), nsam, fin) == nsam) {
codec2_encode(codec2, compressed_bytes, speech_samples);
codec2_decode(codec2, speech_samples, compressed_bytes);
fwrite(speech_samples, sizeof(short), nsam, fout);
}
codec2_destroy(codec2);
fclose(fin);
fclose(fout);
return 0;
}
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/*---------------------------------------------------------------------------*\
FILE........: freedv_700d_rx.c
AUTHOR......: David Rowe
DATE CREATED: April 2021
Demo receive program for FreeDV API (700D mode), see freedv_700d_tx.c for
instructions.
\*---------------------------------------------------------------------------*/
/*
Copyright (C) 2021 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/>.
*/
#include <assert.h>
#include <stdio.h>
#include <stdlib.h>
#include "freedv_api.h"
int main(int argc, char *argv[]) {
struct freedv *freedv;
freedv = freedv_open(FREEDV_MODE_700D);
assert(freedv != NULL);
/* note API functions to tell us how big our buffers need to be */
short speech_out[freedv_get_n_max_speech_samples(freedv)];
short demod_in[freedv_get_n_max_modem_samples(freedv)];
size_t nin, nout;
nin = freedv_nin(freedv);
while (fread(demod_in, sizeof(short), nin, stdin) == nin) {
nout = freedv_rx(freedv, speech_out, demod_in);
nin = freedv_nin(freedv); /* call me on every loop! */
fwrite(speech_out, sizeof(short), nout, stdout);
}
freedv_close(freedv);
return 0;
}
+49
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#!/usr/bin/env python3
'''
Demo receive program for FreeDV API 700D mode.
cd ~/codec2/build_linux
cat ../raw/ve9qrp_10s.raw | ./demo/freedv_700d_tx | ../demo/freedv_700d_rx.py | aplay -f S16_LE
Credits: Thanks DJ2LS, xssfox, VK5QI
'''
import ctypes
from ctypes import *
import sys
import pathlib
import platform
if platform.system() == 'Darwin':
libname = pathlib.Path().absolute() / "src/libcodec2.dylib"
else:
libname = pathlib.Path().absolute() / "src/libcodec2.so"
# See: https://docs.python.org/3/library/ctypes.html
c_lib = ctypes.CDLL(libname)
c_lib.freedv_open.argype = [c_int]
c_lib.freedv_open.restype = c_void_p
c_lib.freedv_get_n_max_speech_samples.argtype = [c_void_p]
c_lib.freedv_get_n_max_speech_samples.restype = c_int
c_lib.freedv_nin.argtype = [c_void_p]
c_lib.freedv_nin.restype = c_int
c_lib.freedv_rx.argtype = [c_void_p, c_char_p, c_char_p]
c_lib.freedv_rx.restype = c_int
FREEDV_MODE_700D = 7 # from freedv_api.h
freedv = cast(c_lib.freedv_open(FREEDV_MODE_700D), c_void_p)
n_max_speech_samples = c_lib.freedv_get_n_max_speech_samples(freedv)
speech_out = create_string_buffer(2*n_max_speech_samples)
while True:
nin = c_lib.freedv_nin(freedv)
demod_in = sys.stdin.buffer.read(nin*2)
if len(demod_in) == 0: quit()
nout = c_lib.freedv_rx(freedv, speech_out, demod_in)
sys.stdout.buffer.write(speech_out[:nout*2])
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/*---------------------------------------------------------------------------*\
FILE........: freedv_700d_tx.c
AUTHOR......: David Rowe
DATE CREATED: April 2021
Demo transmit program using the FreeDV API (700D mode).
usage:
cd ~/codec2/build_linux
cat ../raw/ve9qrp_10s.raw | ./demo/freedv_700d_tx | ./demo/freedv_700d_rx |
aplay -f S16_LE
Listen to the modulated Tx signal:
cat ../raw/ve9qrp_10s.raw | ./demo/freedv_700d_tx | aplay -f S16_LE
\*---------------------------------------------------------------------------*/
/*
Copyright (C) 2021 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/>.
*/
#include <assert.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "freedv_api.h"
int main(int argc, char *argv[]) {
struct freedv *freedv;
freedv = freedv_open(FREEDV_MODE_700D);
assert(freedv != NULL);
/* handy functions to set buffer sizes */
int n_speech_samples = freedv_get_n_speech_samples(freedv);
short speech_in[n_speech_samples];
int n_nom_modem_samples = freedv_get_n_nom_modem_samples(freedv);
short mod_out[n_nom_modem_samples];
/* OK main loop --------------------------------------- */
while (fread(speech_in, sizeof(short), n_speech_samples, stdin) ==
n_speech_samples) {
freedv_tx(freedv, mod_out, speech_in);
fwrite(mod_out, sizeof(short), n_nom_modem_samples, stdout);
}
freedv_close(freedv);
return 0;
}
+130
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/*---------------------------------------------------------------------------*\
FILE........: freedv_datac0c1_rx.c
AUTHOR......: David Rowe
DATE CREATED: Dec 2021
Demonstrates receiving frames of raw data bytes using the FreeDV
API. Two parallel receivers are running, so we can receive either
DATAC0 or DATAC1 frames. Demonstrates a common use case for HF data
- the ability to receive signalling as well as payload data frames.
usage:
cd codec2/build_linux
./demo/freedv_datacc01_tx | ./demo/freedv_datac0c1_rx
Give it a hard time with some channel noise, frequency offset, and sample
clock offsets:
./demo/freedv_datac0c1_tx | ./src/cohpsk_ch - - -24 -f 20 --Fs 8000 |
sox -t .s16 -c 1 -r 8000 - -t .s16 -c 1 -r 8008 - |
./demo/freedv_datac0c1_rx
Replace the final line with "aplay -f S16" to listen to the
simulated Rx signal.
\*---------------------------------------------------------------------------*/
/*
Copyright (C) 2021 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/>.
*/
#include <assert.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "freedv_api.h"
#define NBUF 160
int run_receiver(struct freedv *freedv, short buf[], short demod_in[], int *pn,
uint8_t bytes_out[]);
int main(int argc, char *argv[]) {
// set up DATAC0 Rx
struct freedv *freedv_c0 = freedv_open(FREEDV_MODE_DATAC0);
assert(freedv_c0 != NULL);
freedv_set_frames_per_burst(freedv_c0, 1);
freedv_set_verbose(freedv_c0, 0);
int bytes_per_modem_frame_c0 = freedv_get_bits_per_modem_frame(freedv_c0) / 8;
uint8_t bytes_out_c0[bytes_per_modem_frame_c0];
short demod_in_c0[freedv_get_n_max_modem_samples(freedv_c0)];
// set up DATAC1 Rx
struct freedv *freedv_c1 = freedv_open(FREEDV_MODE_DATAC1);
assert(freedv_c1 != NULL);
freedv_set_frames_per_burst(freedv_c1, 1);
freedv_set_verbose(freedv_c1, 0);
int bytes_per_modem_frame_c1 = freedv_get_bits_per_modem_frame(freedv_c1) / 8;
uint8_t bytes_out_c1[bytes_per_modem_frame_c1];
short demod_in_c1[freedv_get_n_max_modem_samples(freedv_c1)];
// number of samples in demod_in buffer for each Rx
int n_c0 = 0;
int n_c1 = 0;
// number of frames received in each mode
int c0_frames = 0;
int c1_frames = 0;
short buf[NBUF];
// read a fixed buffer from stdin, use that to fill c0 and c1 demod_in buffers
while (fread(buf, sizeof(short), NBUF, stdin) == NBUF) {
if (run_receiver(freedv_c0, buf, demod_in_c0, &n_c0, bytes_out_c0)) {
fprintf(stderr, "DATAC0 frame received!\n");
c0_frames++;
}
if (run_receiver(freedv_c1, buf, demod_in_c1, &n_c1, bytes_out_c1)) {
fprintf(stderr, "DATAC1 frame received!\n");
c1_frames++;
}
}
fprintf(stderr, "DATAC0 Frames: %d DATAC1 Frames: %d\n", c0_frames,
c1_frames);
freedv_close(freedv_c0);
freedv_close(freedv_c1);
return 0;
}
int run_receiver(struct freedv *freedv, short buf[], short demod_in[], int *pn,
uint8_t bytes_out[]) {
int n = *pn;
int nbytes_out = 0;
int nin;
// NBUF new samples into DATAC1 Rx
memcpy(&demod_in[n], buf, sizeof(short) * NBUF);
n += NBUF;
assert(n <= freedv_get_n_max_modem_samples(freedv));
nin = freedv_nin(freedv);
while (n > nin) {
nbytes_out = freedv_rawdatarx(freedv, bytes_out, demod_in);
// nin samples were read
n -= nin;
assert(n >= 0);
memmove(demod_in, &demod_in[nin], sizeof(short) * n);
nin = freedv_nin(freedv);
}
*pn = n;
return nbytes_out;
}
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/*---------------------------------------------------------------------------*\
FILE........: freedv_datac0c1_tx.c
AUTHOR......: David Rowe
DATE CREATED: Dec 2021
Transmitting alternate frames of two different raw data modes. See
freedv_datac0c1_rx.c
\*---------------------------------------------------------------------------*/
/*
Copyright (C) 2021 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/>.
*/
#include <assert.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include "freedv_api.h"
#include "ofdm_internal.h"
#define FRAMES 10
void send_burst(struct freedv *freedv);
int main(void) {
struct freedv *freedv_c0, *freedv_c1;
freedv_c0 = freedv_open(FREEDV_MODE_DATAC0);
assert(freedv_c0 != NULL);
freedv_c1 = freedv_open(FREEDV_MODE_DATAC1);
assert(freedv_c1 != NULL);
// send frames in different modes in random order
int c0_frames = 0;
int c1_frames = 0;
while ((c0_frames < FRAMES) || (c1_frames < FRAMES)) {
if (rand() & 1) {
if (c0_frames < FRAMES) {
send_burst(freedv_c0);
c0_frames++;
}
} else {
if (c1_frames < FRAMES) {
send_burst(freedv_c1);
c1_frames++;
}
}
}
freedv_close(freedv_c0);
freedv_close(freedv_c1);
return 0;
}
void send_burst(struct freedv *freedv) {
size_t bits_per_frame = freedv_get_bits_per_modem_frame(freedv);
size_t bytes_per_modem_frame = bits_per_frame / 8;
size_t payload_bytes_per_modem_frame =
bytes_per_modem_frame - 2; /* 16 bits used for the CRC */
size_t n_mod_out = freedv_get_n_tx_modem_samples(freedv);
uint8_t bytes_in[bytes_per_modem_frame];
short mod_out_short[n_mod_out];
/* generate a test frame */
uint8_t testframe_bits[bits_per_frame];
ofdm_generate_payload_data_bits(testframe_bits, bits_per_frame);
freedv_pack(bytes_in, testframe_bits, bits_per_frame);
/* send preamble */
int n_preamble = freedv_rawdatapreambletx(freedv, mod_out_short);
fwrite(mod_out_short, sizeof(short), n_preamble, stdout);
/* The raw data modes require a CRC in the last two bytes */
uint16_t crc16 = freedv_gen_crc16(bytes_in, payload_bytes_per_modem_frame);
bytes_in[bytes_per_modem_frame - 2] = crc16 >> 8;
bytes_in[bytes_per_modem_frame - 1] = crc16 & 0xff;
/* modulate and send a data frame */
freedv_rawdatatx(freedv, mod_out_short, bytes_in);
fwrite(mod_out_short, sizeof(short), n_mod_out, stdout);
/* send postamble */
int n_postamble = freedv_rawdatapostambletx(freedv, mod_out_short);
fwrite(mod_out_short, sizeof(short), n_postamble, stdout);
/* create some silence between bursts */
int inter_burst_delay_ms = 200;
int samples_delay = FREEDV_FS_8000 * inter_burst_delay_ms / 1000;
short sil_short[samples_delay];
for (int i = 0; i < samples_delay; i++) sil_short[i] = 0;
fwrite(sil_short, sizeof(short), samples_delay, stdout);
}
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/*---------------------------------------------------------------------------*\
FILE........: freedv_datac1_rx.c
AUTHOR......: David Rowe
DATE CREATED: April 2021
Demonstrates receiving frames of raw data bytes using the FreeDV API.
See freedv_datac1_tx.c for instructions.
\*---------------------------------------------------------------------------*/
/*
Copyright (C) 2021 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/>.
*/
#include <assert.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include "freedv_api.h"
int main(int argc, char *argv[]) {
struct freedv *freedv;
freedv = freedv_open(FREEDV_MODE_DATAC1);
assert(freedv != NULL);
freedv_set_frames_per_burst(freedv, 1);
freedv_set_verbose(freedv, 2);
int bytes_per_modem_frame = freedv_get_bits_per_modem_frame(freedv) / 8;
uint8_t bytes_out[bytes_per_modem_frame];
short demod_in[freedv_get_n_max_modem_samples(freedv)];
size_t nin, nbytes_out;
nin = freedv_nin(freedv);
while (fread(demod_in, sizeof(short), nin, stdin) == nin) {
nbytes_out = freedv_rawdatarx(freedv, bytes_out, demod_in);
nin = freedv_nin(freedv); /* must call this every loop */
if (nbytes_out) {
/* don't output CRC */
fwrite(bytes_out, sizeof(uint8_t), nbytes_out - 2, stdout);
}
}
freedv_close(freedv);
return 0;
}
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/*---------------------------------------------------------------------------*\
FILE........: freedv_datac1_tx.c
AUTHOR......: David Rowe
DATE CREATED: April 2021
Demonstrates transmitting frames of raw data bytes using the FreeDV API datac1
mode. The data on stdin is transmitted as a sequence of modulated bursts.
Format of each burst: ...|preamble|data frame|postamble|silence|....
There is just one data frame per burst in this demo.
usage:
cd codec2/build_linux
head -c $((510*10)) </dev/urandom > binaryIn.bin
cat binaryIn.bin | ./demo/freedv_datac1_tx | ./demo/freedv_datac1_rx >
binaryOut.bin diff binaryIn.bin binaryOut.bin
Listen to the modulated Tx signal:
cat binaryIn.bin | ./demo/freedv_datac1_tx | aplay -f S16_LE
\*---------------------------------------------------------------------------*/
/*
Copyright (C) 2021 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/>.
*/
#include <assert.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include "freedv_api.h"
int main(int argc, char *argv[]) {
struct freedv *freedv;
freedv = freedv_open(FREEDV_MODE_DATAC1);
assert(freedv != NULL);
size_t bytes_per_modem_frame = freedv_get_bits_per_modem_frame(freedv) / 8;
size_t payload_bytes_per_modem_frame =
bytes_per_modem_frame - 2; /* 16 bits used for the CRC */
size_t n_mod_out = freedv_get_n_tx_modem_samples(freedv);
uint8_t bytes_in[bytes_per_modem_frame];
short mod_out_short[n_mod_out];
for (int b = 0; b < 10; b++) {
/* send preamble */
int n_preamble = freedv_rawdatapreambletx(freedv, mod_out_short);
fwrite(mod_out_short, sizeof(short), n_preamble, stdout);
/* read our input data frame from stdin */
size_t nread =
fread(bytes_in, sizeof(uint8_t), payload_bytes_per_modem_frame, stdin);
if (nread != payload_bytes_per_modem_frame) break;
/* The raw data modes require a CRC in the last two bytes */
uint16_t crc16 = freedv_gen_crc16(bytes_in, payload_bytes_per_modem_frame);
bytes_in[bytes_per_modem_frame - 2] = crc16 >> 8;
bytes_in[bytes_per_modem_frame - 1] = crc16 & 0xff;
/* modulate and send a data frame */
freedv_rawdatatx(freedv, mod_out_short, bytes_in);
fwrite(mod_out_short, sizeof(short), n_mod_out, stdout);
/* send postamble */
int n_postamble = freedv_rawdatapostambletx(freedv, mod_out_short);
fwrite(mod_out_short, sizeof(short), n_postamble, stdout);
/* create some silence between bursts */
int inter_burst_delay_ms = 200;
int samples_delay = FREEDV_FS_8000 * inter_burst_delay_ms / 1000;
short sil_short[samples_delay];
for (int i = 0; i < samples_delay; i++) sil_short[i] = 0;
fwrite(sil_short, sizeof(short), samples_delay, stdout);
}
freedv_close(freedv);
return 0;
}
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# Makefile for codec2.pdf
#
# usage:
# Build codec2 with -DUNITEST=1 (see README)
# cd ~/codec2/doc
# make
DOCNAME ?= codec2
# Set these externally to override defaults. JOBNAME sets the output file basename,
# and avoids over writing codec2.pdf (e.g. when we are running a doc build test, but don't actually
# want to change codec2.pdf in the repo)
CODEC2_SRC ?= $(HOME)/codec2
CODEC2_BINARY ?= $(HOME)/codec2/build_linux
JOBNAME ?= $(DOCNAME)
PATH := $(PATH):$(CODEC2_BINARY)/src
PLOT_FILES := hts2a_37_sn.tex hts2a_37_sw.tex hts2a_37_lpc_lsp.tex hts2a_37_lpc_pf.tex
$(DOCNAME).pdf: $(PLOT_FILES) $(DOCNAME).tex $(DOCNAME)_refs.bib
pdflatex -shell-escape -file-line-error -jobname=$(JOBNAME) $(DOCNAME).tex
bibtex $(JOBNAME).aux
pdflatex -shell-escape -file-line-error -jobname=$(JOBNAME) $(DOCNAME).tex
pdflatex -shell-escape -file-line-error -jobname=$(JOBNAME) $(DOCNAME).tex
$(PLOT_FILES):
echo $(PATH)
c2sim $(CODEC2_SRC)/raw/hts2a.raw --dump hts2a --lpc 10 --lsp --lpcpf
DISPLAY=""; printf "plamp('hts2a',f=37,epslatex=1)\nq\n" | octave-cli -qf -p $(CODEC2_SRC)/octave
.PHONY: clean
clean:
rm -f *.blg *.bbl *.aux *.log *.out hts2a*
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+84
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@article{griffin1988multiband,
title={Multiband excitation vocoder},
author={Griffin, Daniel W and Lim, Jae S},
journal={IEEE Transactions on acoustics, speech, and signal processing},
volume={36},
number={8},
pages={1223--1235},
year={1988},
publisher={IEEE}
}
@book{rowe1997techniques,
title={Techniques for harmonic sinusoidal coding},
author={Rowe, David Grant},
year={1997},
publisher={Citeseer},
note = {\url{https://www.rowetel.com/downloads/1997_rowe_phd_thesis.pdf}}
}
@misc{ardc2023,
title = {{Enhancing HF Digital Voice with FreeDV}},
year = {2023},
note = {\url{https://www.ardc.net/apply/grants/2023-grants/enhancing-hf-digital-voice-with-freedv/}}
}
@article{mcaulay1986speech,
title={Speech analysis/synthesis based on a sinusoidal representation},
author={McAulay, Robert and Quatieri, Thomas},
journal={IEEE Transactions on Acoustics, Speech, and Signal Processing},
volume={34},
number={4},
pages={744--754},
year={1986},
publisher={IEEE}
}
@article{makhoul1975linear,
title={Linear prediction: A tutorial review},
author={Makhoul, John},
journal={Proceedings of the IEEE},
volume={63},
number={4},
pages={561--580},
year={1975},
publisher={IEEE}
}
@article{itakura1975line,
title={Line spectrum representation of linear predictor coefficients of speech signals},
author={Itakura, Fumitada},
journal={The Journal of the Acoustical Society of America},
volume={57},
number={S1},
pages={S35--S35},
year={1975},
publisher={AIP Publishing}
}
@book{o1997human,
title={Speech Communication - Human and machine},
author={OShaughnessy, Douglas},
publisher={Addison-Wesley Publishing Company},
year={1997}
}
@misc{rowe2023ratek,
title = {{FreeDV-015 Codec 2 Rate K Resampler}},
year = {2023},
note = {\url{https://github.com/drowe67/misc/blob/master/ratek_resampler/ratek_resampler.pdf}}
}
@book{kondoz1994digital,
title={Digital speech: coding for low bit rate communication systems},
author={Kondoz, Ahmet M},
year={1994},
publisher={John Wiley \& Sons}
}
@book{kleijn1995speech,
title={Speech coding and synthesis},
author={Kleijn, W Bastiaan and Paliwal, Kuldip K},
year={1995},
publisher={Elsevier Science Inc.}
}
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+9
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#ifndef CODEC2_HAVE_VERSION
#define CODEC2_HAVE_VERSION
#define CODEC2_VERSION_MAJOR 1
#define CODEC2_VERSION_MINOR 2
#define CODEC2_VERSION_PATCH 0
#define CODEC2_VERSION "1.2.0"
#endif
+19
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#ifndef _CONFIGURATION_HEADER_GUARD_H_
#define _CONFIGURATION_HEADER_GUARD_H_
#define SIZEOF_INT 4
#define HAVE_STDLIB_H 1
#define HAVE_STRING_H 1
#define HAVE_FLOOR 1
#define HAVE_CEIL 1
#define HAVE_MEMSET 1
#define HAVE_POW 1
#define HAVE_SQRT 1
#define HAVE_SIN 1
#define HAVE_COS 1
#define HAVE_ATAN2 1
#define HAVE_LOG10 1
#define HAVE_ROUND 1
#define HAVE_GETOPT 0
#endif
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# Created by Octave 3.8.1, Wed Mar 15 17:24:05 2017 ACDT <david@penetrator>
# name: HRA_112_112
# type: matrix
# rows: 112
# columns: 224
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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
+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
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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
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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
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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
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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
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% 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
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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
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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
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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
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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
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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
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% 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
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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
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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
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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
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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
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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]);
+139
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% 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
+876
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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
+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
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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
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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
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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)
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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
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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
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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
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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
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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
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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")
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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
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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
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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
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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
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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
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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
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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
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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

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