initial commit
This commit is contained in:
@@ -0,0 +1,85 @@
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/*!
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* @file Adafruit_ZeroFFT.h
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*
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* This is an FFT library designed to run on ARM cortex M0 CPUs.
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* It is based on FFT functions provided by ARM.
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*
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*
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* Adafruit invests time and resources providing this open source code,
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||||
* please support Adafruit and open-source hardware by purchasing
|
||||
* products from Adafruit!
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||||
*
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* Written by Dean Miller for Adafruit Industries.
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*
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* BSD license, all text here must be included in any redistribution.
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*
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*/
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#ifndef ADAFRUIT_ZEROFFT_ADAFRUIT_ZEROFFT_H_
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#define ADAFRUIT_ZEROFFT_ADAFRUIT_ZEROFFT_H_
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#include <Arduino.h>
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#define FFT_BIN(num, fs, size) \
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(num * \
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((float)fs / (float)size)) ///< return the center frequency of FFT bin 'num'
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///< based on the sample rate and FFT stize
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#define FFT_INDEX(freq, fs, size) \
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((int)((float)freq / \
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((float)fs / \
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(float)size))) ///< return the bin index where the specified frequency
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///< 'freq' can be found based on the passed sample
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///< rate and FFT size
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#ifndef ALIGN4
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#define ALIGN4 __attribute__((aligned(4))) ///< align to 4 bytes
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#endif
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#ifndef q15_t
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#define q15_t int16_t ///< a q15 fractional data type
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#endif
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#ifndef q31_t
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#define q31_t int32_t ///< a q31 fractional data type
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#endif
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#ifndef float32_t
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#define float32_t float ///< 32 bit floating point data type
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#endif
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#define ZERO_FFT_MAX 4096 ///< the maximum allowed FFT size
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#ifdef __cplusplus
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extern "C" {
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#endif // __cplusplus
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/**************************************************************************/
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/*!
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@brief run an FFT on an int16_t array. Note that this is run in place.
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@param source the data to FFT
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@param length the length of the data. This must be a power of 2 and less
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than or equal to ZERO_FFT_MAX
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@return 0 on success, -1 on failure
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@note The FFT is run in place on the data. A hanning window is applied to
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the input data. The complex portion is discarded, and the real values are
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returned.
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*/
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/**************************************************************************/
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extern int ZeroFFT(q15_t *source, uint16_t length);
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extern const q15_t window_hanning_16[]; ///< a hanning window of length 16
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extern const q15_t window_hanning_32[]; ///< a hanning window of length 32
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extern const q15_t window_hanning_64[]; ///< a hanning window of length 64
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extern const q15_t window_hanning_128[]; ///< a hanning window of length 128
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extern const q15_t window_hanning_256[]; ///< a hanning window of length 256
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extern const q15_t window_hanning_512[]; ///< a hanning window of length 512
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extern const q15_t window_hanning_1024[]; ///< a hanning window of length 1024
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extern const q15_t window_hanning_2048[]; ///< a hanning window of length 2048
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extern const q15_t window_hanning_4096[]; ///< a hanning window of length 4096
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#ifdef __cplusplus
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};
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#endif // __cplusplus
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#include "arm_common_tables.h"
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#endif /* ADAFRUIT_ZEROFFT_ADAFRUIT_ZEROFFT_H_ */
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@@ -0,0 +1,8 @@
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# Adafruit ZeroFFT Library [](https://github.com/adafruit/Adafruit_ILI9341/actions)
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This is an FFT library for ARM cortex M0+ CPUs
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Adafruit invests time and resources providing this open source code, please support Adafruit and open-source hardware by purchasing products from Adafruit!
|
||||
|
||||
Written by Dean Miller for Adafruit Industries.
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MIT license, all text above must be included in any redistribution
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File diff suppressed because it is too large
Load Diff
@@ -0,0 +1,39 @@
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/* ----------------------------------------------------------------------
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* Copyright (C) 2010 ARM Limited. All rights reserved.
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*
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* $Date: 11. November 2010
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* $Revision: V1.0.2
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*
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* Project: CMSIS DSP Library
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* Title: arm_common_tables.h
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*
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* Description: This file has extern declaration for common tables like
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* Bitreverse, reciprocal etc which are used across different functions
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*
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* Target Processor: Cortex-M4/Cortex-M3
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*
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* Version 1.0.2 2010/11/11
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* Documentation updated.
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*
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* Version 1.0.1 2010/10/05
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* Production release and review comments incorporated.
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*
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* Version 1.0.0 2010/09/20
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* Production release and review comments incorporated.
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* -------------------------------------------------------------------- */
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#ifndef _ARM_COMMON_TABLES_H
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#define _ARM_COMMON_TABLES_H
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#include "Adafruit_ZeroFFT.h"
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extern const uint16_t armBitRevTable[1024];
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extern const q15_t armRecipTableQ15[64];
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extern const q31_t armRecipTableQ31[64];
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extern const q31_t realCoefAQ31[1024];
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extern const q31_t realCoefBQ31[1024];
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extern const float32_t twiddleCoef[6144];
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extern const q31_t twiddleCoefQ31[6144];
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extern const q15_t twiddleCoefQ15[6144];
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#endif /* ARM_COMMON_TABLES_H */
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@@ -0,0 +1,90 @@
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/* This example shows how to use the FFT library with a circuit playground express.
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*
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* The LEDs will map around the circle when frequencies between FREQ_MIN and FREQ_MAX are detected
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*/
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#include <Adafruit_CircuitPlayground.h>
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#include "Adafruit_ZeroFFT.h"
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//this must be a power of 2
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#define DATA_SIZE 256
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#define NUM_PIXELS 12
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//the sample rate
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#define FS 22000
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//the lowest frequency that will register on the meter
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#define FREQ_MIN 600
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//the highest frequency that will register on the meter
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#define FREQ_MAX 3000
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#define MIN_INDEX FFT_INDEX(FREQ_MIN, FS, DATA_SIZE)
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#define MAX_INDEX FFT_INDEX(FREQ_MAX, FS, DATA_SIZE)
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#define SCALE_FACTOR 32
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int16_t pixelData[NUM_PIXELS];
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int16_t inputData[DATA_SIZE];
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// the setup routine runs once when you press reset:
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void setup() {
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CircuitPlayground.begin();
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}
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void loop() {
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CircuitPlayground.mic.capture(inputData, DATA_SIZE);
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/*******************************
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* REMOVE DC OFFSET
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******************************/
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int32_t avg = 0;
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int16_t *ptr = inputData;
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for(int i=0; i<DATA_SIZE; i++) avg += *ptr++;
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avg = avg/DATA_SIZE;
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ptr = inputData;
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for(int i=0; i<DATA_SIZE; i++){
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*ptr -= avg;
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*ptr++ = *ptr*SCALE_FACTOR;
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}
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//run the FFT
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ZeroFFT(inputData, DATA_SIZE);
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//set all to 0
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memset(pixelData, 0, NUM_PIXELS*sizeof(int16_t));
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//downsample into NUM_PIXELS bins
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for(int i=MIN_INDEX; i<MAX_INDEX; i++){
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int ix = map(i, MIN_INDEX, MAX_INDEX, 0, NUM_PIXELS);
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pixelData[ix] += inputData[i];
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}
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//display the data
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for(int i=0; i<NUM_PIXELS; i++)
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CircuitPlayground.strip.setPixelColor(i, Wheel(pixelData[i]));
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CircuitPlayground.strip.show();
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}
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// Input a value 0 to 255 to get a color value.
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// The colours are a transition r - g - b - back to r.
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// values below 20 will not register
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uint32_t Wheel(byte WheelPos) {
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if(WheelPos < 20) {
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return CircuitPlayground.strip.Color(0, 0, 0);
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}
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else if(WheelPos < 85) {
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return CircuitPlayground.strip.Color(WheelPos * 3, 255 - WheelPos * 3, 0);
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}
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else if(WheelPos < 170) {
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WheelPos -= 85;
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return CircuitPlayground.strip.Color(255 - WheelPos * 3, 0, WheelPos * 3);
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}
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else {
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WheelPos -= 170;
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return CircuitPlayground.strip.Color(0, WheelPos * 3, 255 - WheelPos * 3);
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}
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}
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@@ -0,0 +1,43 @@
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/* This example shows the most basic usage of the Adafruit ZeroFFT library.
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* it calculates the FFT and prints out the results along with their corresponding frequency
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*
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* The signal.h file constains a 200hz sine wave mixed with a weaker 800hz sine wave.
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* The signal was generated at a sample rate of 8000hz.
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*
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* Note that you can print only the value (coment out the other two print statements) and use
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* the serial plotter tool to see a graph.
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*/
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#include "Adafruit_ZeroFFT.h"
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#include "signal.h"
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//the signal in signal.h has 2048 samples. Set this to a value between 16 and 2048 inclusive.
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//this must be a power of 2
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#define DATA_SIZE 256
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//the sample rate
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#define FS 8000
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// the setup routine runs once when you press reset:
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void setup() {
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Serial.begin(115200);
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while(!Serial); //wait for serial to be ready
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//run the FFT
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ZeroFFT(signal, DATA_SIZE);
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//data is only meaningful up to sample rate/2, discard the other half
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for(int i=0; i<DATA_SIZE/2; i++){
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||||
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||||
//print the frequency
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Serial.print(FFT_BIN(i, FS, DATA_SIZE));
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||||
Serial.print(" Hz: ");
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||||
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||||
//print the corresponding FFT output
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||||
Serial.println(signal[i]);
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||||
}
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||||
}
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||||
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||||
void loop() {
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||||
//don't even do anything
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||||
}
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||||
@@ -0,0 +1,214 @@
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||||
#ifndef _SIGNAL_H
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||||
#define _SIGNAL_H
|
||||
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||||
#include "Adafruit_ZeroFFT.h"
|
||||
|
||||
q15_t signal[] = {
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
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|
||||
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|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
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|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
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|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560,
|
||||
};
|
||||
|
||||
#endif
|
||||
@@ -0,0 +1,118 @@
|
||||
#include "Adafruit_ZeroFFT.h"
|
||||
|
||||
#include <SPI.h>
|
||||
#include <Adafruit_GFX.h>
|
||||
#include <Adafruit_ILI9341.h>
|
||||
|
||||
#define STMPE_CS 6
|
||||
#define TFT_CS 9
|
||||
#define TFT_DC 10
|
||||
#define SD_CS 5
|
||||
|
||||
//set this to 0 to disable autoranging and scale to FFT_MAX
|
||||
#define AUTOSCALE 1
|
||||
|
||||
#if AUTOSCALE == 0
|
||||
#define FFT_MAX 512
|
||||
#endif
|
||||
|
||||
/*set this to a power of 2.
|
||||
* Lower = faster, lower resolution
|
||||
* Higher = slower, higher resolution
|
||||
*/
|
||||
#define DATA_SIZE 1024
|
||||
|
||||
//the sample rate.
|
||||
#define FS 2360
|
||||
|
||||
#define NUM_REFERENCE_LINES 6
|
||||
|
||||
#define GRAPH_OFFSET 30
|
||||
|
||||
#define GRAPH_WIDTH (tft.width() - 3)
|
||||
#define GRAPH_HEIGHT (tft.height() - GRAPH_OFFSET)
|
||||
|
||||
#define GRAPH_MIN (tft.height() - 2)
|
||||
#define GRAPH_MAX (tft.height() - GRAPH_HEIGHT)
|
||||
static float xScale;
|
||||
|
||||
Adafruit_ILI9341 tft = Adafruit_ILI9341(TFT_CS, TFT_DC);
|
||||
|
||||
int16_t data[DATA_SIZE];
|
||||
|
||||
// the setup routine runs once when you press reset:
|
||||
void setup() {
|
||||
Serial.begin(115200);
|
||||
delay(10);
|
||||
//while(!Serial);
|
||||
Serial.println("FFT with TFT featherwing!");
|
||||
|
||||
pinMode(A0, OUTPUT);
|
||||
digitalWrite(A0, HIGH);
|
||||
pinMode(A1, OUTPUT);
|
||||
digitalWrite(A1, LOW);
|
||||
|
||||
tft.begin();
|
||||
tft.setRotation(1);
|
||||
}
|
||||
|
||||
void drawReference(){
|
||||
//draw some reference lines
|
||||
uint16_t refStep = DATA_SIZE / 2 / NUM_REFERENCE_LINES;
|
||||
tft.setTextSize(2);
|
||||
tft.setTextColor(ILI9341_RED);
|
||||
for(int i=0; i<DATA_SIZE/2 - refStep; i+=refStep){
|
||||
uint16_t fc = FFT_BIN(i, FS, DATA_SIZE);
|
||||
uint16_t xpos = map(i, 0, DATA_SIZE/2, 0, GRAPH_WIDTH);
|
||||
tft.setCursor(xpos, 0);
|
||||
tft.drawLine(xpos, GRAPH_MIN, xpos, GRAPH_MAX, ILI9341_RED);
|
||||
|
||||
tft.print(fc);
|
||||
}
|
||||
}
|
||||
|
||||
void loop() {
|
||||
int32_t avg = 0;
|
||||
for(int i=0; i<DATA_SIZE; i++){
|
||||
int16_t val = analogRead(A2);
|
||||
avg += val;
|
||||
data[i] = val;
|
||||
}
|
||||
|
||||
//remove DC offset and gain up to 16 bits
|
||||
avg = avg/DATA_SIZE;
|
||||
for(int i=0; i<DATA_SIZE; i++) data[i] = (data[i] - avg) * 64;
|
||||
|
||||
//run the FFT
|
||||
ZeroFFT(data, DATA_SIZE);
|
||||
|
||||
#if AUTOSCALE
|
||||
//get the maximum value
|
||||
float maxVal = 0;
|
||||
//data is only meaningful up to sample rate/2, discard the other half
|
||||
for(int i=0; i<DATA_SIZE/2; i++) if(data[i] > maxVal) maxVal = data[i];
|
||||
|
||||
//normalize to the maximum returned value
|
||||
for(int i=0; i<DATA_SIZE/2; i++)
|
||||
data[i] =(float)data[i] / maxVal * GRAPH_HEIGHT;
|
||||
#endif
|
||||
|
||||
tft.fillScreen(ILI9341_BLACK);
|
||||
drawReference();
|
||||
|
||||
//draw all points
|
||||
int16_t lasty, thisy;
|
||||
thisy = GRAPH_MIN;
|
||||
for(int i=1; i<GRAPH_WIDTH; i++){
|
||||
uint16_t ix = map(i, 0, GRAPH_WIDTH, 0, DATA_SIZE/2);
|
||||
|
||||
#if AUTOSCALE
|
||||
thisy = constrain(map(data[ix], 0, GRAPH_HEIGHT, GRAPH_MIN, GRAPH_MAX), GRAPH_OFFSET, GRAPH_MIN);
|
||||
#else
|
||||
thisy = constrain(map(data[ix], 0, FFT_MAX, GRAPH_MIN, GRAPH_MAX), GRAPH_OFFSET, GRAPH_MIN);
|
||||
#endif
|
||||
|
||||
tft.drawLine(i - 1, lasty, i, thisy, ILI9341_GREEN);
|
||||
lasty = thisy;
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,50 @@
|
||||
/* This example shows how to calculate an FFT an normalize it.
|
||||
*
|
||||
* The signal.h file constains a 200hz sine wave mixed with a weaker 800hz sine wave.
|
||||
* The signal was generated at a sample rate of 8000hz.
|
||||
*/
|
||||
|
||||
#include "Adafruit_ZeroFFT.h"
|
||||
#include "signal.h"
|
||||
|
||||
//the signal in signal.h has 2048 values. Set this to a value from 16 to 2048.
|
||||
//this must be a power of 2
|
||||
#define DATA_SIZE 1024
|
||||
|
||||
//the sample rate
|
||||
#define FS 8000
|
||||
|
||||
//this array will hold the normalized data
|
||||
float normalized[DATA_SIZE/2];
|
||||
|
||||
// the setup routine runs once when you press reset:
|
||||
void setup() {
|
||||
Serial.begin(115200);
|
||||
while(!Serial); //wait for serial to be ready
|
||||
|
||||
//run the FFT
|
||||
ZeroFFT(signal, DATA_SIZE);
|
||||
|
||||
//get the maximum value
|
||||
float maxVal = 0;
|
||||
//data is only meaningful up to sample rate/2, discard the other half
|
||||
for(int i=0; i<DATA_SIZE/2; i++) if(signal[i] > maxVal) maxVal = signal[i];
|
||||
|
||||
//normalize to the maximum returned value
|
||||
for(int i=0; i<DATA_SIZE/2; i++)
|
||||
normalized[i] = (float)signal[i] / maxVal;
|
||||
|
||||
for(int i=0; i<DATA_SIZE/2; i++){
|
||||
|
||||
//print the frequency
|
||||
Serial.print(FFT_BIN(i, FS, DATA_SIZE));
|
||||
Serial.print(" Hz: ");
|
||||
|
||||
//print the corresponding FFT output
|
||||
Serial.println(normalized[i]);
|
||||
}
|
||||
}
|
||||
|
||||
void loop() {
|
||||
//don't even do anything
|
||||
}
|
||||
@@ -0,0 +1,214 @@
|
||||
#ifndef _SIGNAL_H
|
||||
#define _SIGNAL_H
|
||||
|
||||
#include "Adafruit_ZeroFFT.h"
|
||||
|
||||
q15_t signal[] = {
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560, 18619, 24134,
|
||||
26213, 24134, 18619, 11560, 5301, 1754, 1677, 4400, 8100, 10515,
|
||||
9830, 5389, -2025, -10475, -17582, -21414, -21207, -17635, -12543, -8229,
|
||||
-6553, -8229, -12543, -17635, -21207, -21414, -17582, -10475, -2025, 5389,
|
||||
9830, 10515, 8100, 4400, 1677, 1754, 5301, 11560,
|
||||
};
|
||||
|
||||
#endif
|
||||
@@ -0,0 +1,155 @@
|
||||
#include "Adafruit_ZeroFFT.h"
|
||||
#include "Adafruit_ZeroPDM.h"
|
||||
|
||||
#include <SPI.h>
|
||||
#include <Adafruit_GFX.h>
|
||||
#include <Adafruit_ILI9341.h>
|
||||
|
||||
#define SAMPLERATE_HZ 22000
|
||||
#define DECIMATION 64
|
||||
|
||||
#define STMPE_CS 6
|
||||
#define TFT_CS 9
|
||||
#define TFT_DC 10
|
||||
#define SD_CS 5
|
||||
|
||||
//set this to 0 to disable autoranging and scale to FFT_MAX
|
||||
#define AUTOSCALE 1
|
||||
|
||||
#if AUTOSCALE == 0
|
||||
#define FFT_MAX 512
|
||||
#endif
|
||||
|
||||
/*set this to a power of 2.
|
||||
* Lower = faster, lower resolution
|
||||
* Higher = slower, higher resolution
|
||||
*/
|
||||
#define DATA_SIZE 1024
|
||||
|
||||
#define NUM_REFERENCE_LINES 6
|
||||
|
||||
#define GRAPH_OFFSET 30
|
||||
|
||||
#define GRAPH_WIDTH (tft.width() - 3)
|
||||
#define GRAPH_HEIGHT (tft.height() - GRAPH_OFFSET)
|
||||
|
||||
#define GRAPH_MIN (tft.height() - 2)
|
||||
#define GRAPH_MAX (tft.height() - GRAPH_HEIGHT)
|
||||
static float xScale;
|
||||
|
||||
Adafruit_ZeroPDM pdm = Adafruit_ZeroPDM(1, 4);
|
||||
Adafruit_ILI9341 tft = Adafruit_ILI9341(TFT_CS, TFT_DC);
|
||||
|
||||
int16_t data[DATA_SIZE];
|
||||
|
||||
// a windowed sinc filter for 44 khz, 64 samples
|
||||
uint16_t sincfilter[DECIMATION] = {0, 2, 9, 21, 39, 63, 94, 132, 179, 236, 302, 379, 467, 565, 674, 792, 920, 1055, 1196, 1341, 1487, 1633, 1776, 1913, 2042, 2159, 2263, 2352, 2422, 2474, 2506, 2516, 2506, 2474, 2422, 2352, 2263, 2159, 2042, 1913, 1776, 1633, 1487, 1341, 1196, 1055, 920, 792, 674, 565, 467, 379, 302, 236, 179, 132, 94, 63, 39, 21, 9, 2, 0, 0};
|
||||
|
||||
// a manual loop-unroller!
|
||||
#define ADAPDM_REPEAT_LOOP_16(X) X X X X X X X X X X X X X X X X
|
||||
|
||||
// the setup routine runs once when you press reset:
|
||||
void setup() {
|
||||
Serial.begin(115200);
|
||||
delay(10);
|
||||
//while(!Serial);
|
||||
Serial.println("FFT with TFT featherwing!");
|
||||
|
||||
// Initialize the PDM/I2S receiver
|
||||
if (!pdm.begin()) {
|
||||
Serial.println("Failed to initialize I2S/PDM!");
|
||||
while (1);
|
||||
}
|
||||
|
||||
// Configure PDM receiver, sample rate
|
||||
if (!pdm.configure(SAMPLERATE_HZ * DECIMATION / 16, true)) {
|
||||
Serial.println("Failed to configure PDM");
|
||||
while (1);
|
||||
}
|
||||
Serial.println("PDM configured");
|
||||
|
||||
tft.begin();
|
||||
tft.setRotation(1);
|
||||
}
|
||||
|
||||
void drawReference(){
|
||||
//draw some reference lines
|
||||
uint16_t refStep = DATA_SIZE / 2 / NUM_REFERENCE_LINES;
|
||||
tft.setTextSize(2);
|
||||
tft.setTextColor(ILI9341_RED);
|
||||
for(int i=0; i<DATA_SIZE/2 - refStep; i+=refStep){
|
||||
uint16_t fc = FFT_BIN(i, SAMPLERATE_HZ, DATA_SIZE);
|
||||
uint16_t xpos = map(i, 0, DATA_SIZE/2, 0, GRAPH_WIDTH);
|
||||
tft.setCursor(xpos, 0);
|
||||
tft.drawLine(xpos, GRAPH_MIN, xpos, GRAPH_MAX, ILI9341_RED);
|
||||
|
||||
tft.print(fc);
|
||||
}
|
||||
}
|
||||
|
||||
void loop() {
|
||||
int32_t avg = 0;
|
||||
for(int i=0; i<DATA_SIZE; i++){
|
||||
uint16_t runningsum = 0;
|
||||
uint16_t *sinc_ptr = sincfilter;
|
||||
|
||||
for (uint8_t samplenum=0; samplenum < (DECIMATION/16) ; samplenum++) {
|
||||
uint16_t sample = pdm.read() & 0xFFFF; // we read 16 bits at a time, by default the low half
|
||||
|
||||
ADAPDM_REPEAT_LOOP_16( // manually unroll loop: for (int8_t b=0; b<16; b++)
|
||||
{
|
||||
// start at the LSB which is the 'first' bit to come down the line, chronologically
|
||||
// (Note we had to set I2S_SERCTRL_BITREV to get this to work, but saves us time!)
|
||||
if (sample & 0x1) {
|
||||
runningsum += *sinc_ptr; // do the convolution
|
||||
}
|
||||
sinc_ptr++;
|
||||
sample >>= 1;
|
||||
}
|
||||
)
|
||||
}
|
||||
|
||||
avg += runningsum;
|
||||
data[i] = runningsum;
|
||||
}
|
||||
|
||||
//remove DC offset
|
||||
avg = avg/DATA_SIZE;
|
||||
for(int i=0; i<DATA_SIZE; i++) data[i] = (data[i] - avg);
|
||||
|
||||
//run the FFT
|
||||
ZeroFFT(data, DATA_SIZE);
|
||||
|
||||
#if AUTOSCALE
|
||||
//get the maximum value
|
||||
float maxVal = 0;
|
||||
//data is only meaningful up to sample rate/2, discard the other half
|
||||
for(int i=0; i<DATA_SIZE/2; i++) if(data[i] > maxVal) maxVal = data[i];
|
||||
|
||||
//normalize to the maximum returned value
|
||||
for(int i=0; i<DATA_SIZE/2; i++)
|
||||
data[i] =(float)data[i] / maxVal * GRAPH_HEIGHT;
|
||||
#endif
|
||||
|
||||
tft.fillScreen(ILI9341_BLACK);
|
||||
drawReference();
|
||||
|
||||
//draw all points
|
||||
int16_t lasty, thisy;
|
||||
thisy = GRAPH_MIN;
|
||||
for(int i=1; i<GRAPH_WIDTH; i++){
|
||||
uint16_t ix = map(i, 0, GRAPH_WIDTH, 0, DATA_SIZE/2);
|
||||
|
||||
#if AUTOSCALE
|
||||
thisy = constrain(map(data[ix], 0, GRAPH_HEIGHT, GRAPH_MIN, GRAPH_MAX), GRAPH_OFFSET, GRAPH_MIN);
|
||||
#else
|
||||
thisy = constrain(map(data[ix], 0, FFT_MAX, GRAPH_MIN, GRAPH_MAX), GRAPH_OFFSET, GRAPH_MIN);
|
||||
#endif
|
||||
|
||||
tft.drawLine(i - 1, lasty, i, thisy, ILI9341_GREEN);
|
||||
lasty = thisy;
|
||||
}
|
||||
|
||||
//add a bit of delay because we redraw the screen each time and it gets a bit blinky
|
||||
delay(250);
|
||||
}
|
||||
@@ -0,0 +1,171 @@
|
||||
#include "Adafruit_ZeroFFT.h"
|
||||
#include "Adafruit_ZeroPDM.h"
|
||||
|
||||
#include <SPI.h>
|
||||
#include <Adafruit_GFX.h>
|
||||
#include <Adafruit_ILI9341.h>
|
||||
|
||||
#define SAMPLERATE_HZ 22000
|
||||
#define DECIMATION 64
|
||||
|
||||
#define STMPE_CS 6
|
||||
#define TFT_CS 9
|
||||
#define TFT_DC 10
|
||||
#define SD_CS 5
|
||||
|
||||
/*set this to a power of 2.
|
||||
* Lower = faster, lower resolution
|
||||
* Higher = slower, higher resolution
|
||||
*/
|
||||
#define DATA_SIZE 2048
|
||||
|
||||
#define NUM_REFERENCE_LINES 6
|
||||
|
||||
#define GRAPH_OFFSET 30
|
||||
|
||||
#define GRAPH_WIDTH (tft.width() - 3)
|
||||
#define GRAPH_HEIGHT (tft.height() - GRAPH_OFFSET)
|
||||
|
||||
#define GRAPH_MIN (tft.height() - 2)
|
||||
#define GRAPH_MAX (tft.height() - GRAPH_HEIGHT)
|
||||
static float xScale;
|
||||
|
||||
Adafruit_ZeroPDM pdm = Adafruit_ZeroPDM(1, 4);
|
||||
Adafruit_ILI9341 tft = Adafruit_ILI9341(TFT_CS, TFT_DC);
|
||||
|
||||
int16_t data[DATA_SIZE];
|
||||
int16_t dataOld[320];
|
||||
|
||||
// a windowed sinc filter for 44 khz, 64 samples
|
||||
uint16_t sincfilter[DECIMATION] = {0, 2, 9, 21, 39, 63, 94, 132, 179, 236, 302, 379, 467, 565, 674, 792, 920, 1055, 1196, 1341, 1487, 1633, 1776, 1913, 2042, 2159, 2263, 2352, 2422, 2474, 2506, 2516, 2506, 2474, 2422, 2352, 2263, 2159, 2042, 1913, 1776, 1633, 1487, 1341, 1196, 1055, 920, 792, 674, 565, 467, 379, 302, 236, 179, 132, 94, 63, 39, 21, 9, 2, 0, 0};
|
||||
|
||||
// a manual loop-unroller!
|
||||
#define ADAPDM_REPEAT_LOOP_16(X) X X X X X X X X X X X X X X X X
|
||||
|
||||
void drawReference(bool withText = false){
|
||||
//draw some reference lines
|
||||
uint16_t refStep = DATA_SIZE / 2 / NUM_REFERENCE_LINES;
|
||||
tft.setTextSize(2);
|
||||
tft.setTextColor(ILI9341_RED);
|
||||
for(int i=0; i<DATA_SIZE/2 - refStep; i+=refStep){
|
||||
uint16_t fc = FFT_BIN(i, SAMPLERATE_HZ, DATA_SIZE);
|
||||
uint16_t xpos = map(i, 0, DATA_SIZE/2, 0, GRAPH_WIDTH);
|
||||
tft.drawLine(xpos, GRAPH_MIN, xpos, GRAPH_MAX, ILI9341_RED);
|
||||
|
||||
if(withText) {
|
||||
tft.setCursor(xpos, 0);
|
||||
tft.print(fc);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
// the setup routine runs once when you press reset:
|
||||
void setup() {
|
||||
Serial.begin(115200);
|
||||
delay(10);
|
||||
//while(!Serial);
|
||||
Serial.println("FFT with TFT featherwing!");
|
||||
|
||||
// Initialize the PDM/I2S receiver
|
||||
if (!pdm.begin()) {
|
||||
Serial.println("Failed to initialize I2S/PDM!");
|
||||
while (1);
|
||||
}
|
||||
|
||||
// Configure PDM receiver, sample rate
|
||||
if (!pdm.configure(SAMPLERATE_HZ * DECIMATION / 16, true)) {
|
||||
Serial.println("Failed to configure PDM");
|
||||
while (1);
|
||||
}
|
||||
Serial.println("PDM configured");
|
||||
|
||||
tft.begin();
|
||||
tft.setRotation(1);
|
||||
|
||||
tft.fillScreen(ILI9341_BLACK);
|
||||
drawReference(true);
|
||||
|
||||
dataOld[0] = 0;
|
||||
}
|
||||
|
||||
void loop() {
|
||||
int32_t avg = 0;
|
||||
for(int i=0; i<DATA_SIZE; i++){
|
||||
uint16_t runningsum = 0;
|
||||
uint16_t *sinc_ptr = sincfilter;
|
||||
|
||||
for (uint8_t samplenum=0; samplenum < (DECIMATION/16) ; samplenum++) {
|
||||
uint16_t sample = pdm.read() & 0xFFFF; // we read 16 bits at a time, by default the low half
|
||||
|
||||
ADAPDM_REPEAT_LOOP_16( // manually unroll loop: for (int8_t b=0; b<16; b++)
|
||||
{
|
||||
// start at the LSB which is the 'first' bit to come down the line, chronologically
|
||||
// (Note we had to set I2S_SERCTRL_BITREV to get this to work, but saves us time!)
|
||||
if (sample & 0x1) {
|
||||
runningsum += *sinc_ptr; // do the convolution
|
||||
}
|
||||
sinc_ptr++;
|
||||
sample >>= 1;
|
||||
}
|
||||
)
|
||||
}
|
||||
|
||||
avg += runningsum;
|
||||
data[i] = runningsum;
|
||||
}
|
||||
|
||||
//remove DC offset
|
||||
avg = avg/DATA_SIZE;
|
||||
for(int i=0; i<DATA_SIZE; i++) data[i] = (data[i] - avg);
|
||||
|
||||
//run the FFT
|
||||
ZeroFFT(data, DATA_SIZE);
|
||||
|
||||
//get the maximum value
|
||||
float maxVal = 0;
|
||||
//data is only meaningful up to sample rate/2, discard the other half
|
||||
for(int i=0; i<DATA_SIZE/2; i++) if(data[i] > maxVal) maxVal = data[i];
|
||||
|
||||
//normalize to the maximum returned value
|
||||
int16_t ma = 0;
|
||||
for(int i=0; i<DATA_SIZE/2; i++){
|
||||
data[i] =(float)data[i] / maxVal * GRAPH_HEIGHT;
|
||||
|
||||
if(i > 3)
|
||||
data[i] = (data[i] + data[i-1] + data[i-2] + data[i - 3]) / 4;
|
||||
|
||||
else data[i] = 0;
|
||||
}
|
||||
|
||||
//normalize again
|
||||
maxVal = 0;
|
||||
for(int i=0; i<DATA_SIZE/2; i++) if(data[i] > maxVal) maxVal = data[i];
|
||||
|
||||
for(int i=0; i<DATA_SIZE/2; i++)
|
||||
data[i] =(float)data[i] / maxVal * GRAPH_HEIGHT;
|
||||
|
||||
//go over old line
|
||||
for(int i=1; i<GRAPH_WIDTH; i++){
|
||||
tft.drawLine(i - 1, dataOld[i-1], i, dataOld[i], ILI9341_BLACK);
|
||||
}
|
||||
|
||||
//redraw red reference lines
|
||||
drawReference();
|
||||
|
||||
//draw all points
|
||||
int16_t lasty, thisy;
|
||||
thisy = GRAPH_MIN;
|
||||
for(int i=1; i<GRAPH_WIDTH; i++){
|
||||
uint16_t ix = map(i, 0, GRAPH_WIDTH, 0, DATA_SIZE/2);
|
||||
|
||||
thisy = constrain(map(data[ix], 0, GRAPH_HEIGHT, GRAPH_MIN, GRAPH_MAX), GRAPH_OFFSET, GRAPH_MIN);
|
||||
|
||||
tft.drawLine(i - 1, lasty, i, thisy, ILI9341_GREEN);
|
||||
lasty = thisy;
|
||||
|
||||
//save line
|
||||
dataOld[i] = thisy;
|
||||
}
|
||||
dataOld[0] = data[0];
|
||||
}
|
||||
@@ -0,0 +1,322 @@
|
||||
/*
|
||||
* fftutil.c
|
||||
*
|
||||
* Created on: Jan 5, 2018
|
||||
* Author: deanm
|
||||
*/
|
||||
|
||||
#include "Adafruit_ZeroFFT.h"
|
||||
|
||||
/*
|
||||
* @brief In-place bit reversal function.
|
||||
* @param[in, out] *pSrc points to the in-place buffer of Q15 data type.
|
||||
* @param[in] fftLen length of the FFT.
|
||||
* @param[in] bitRevFactor bit reversal modifier that supports different
|
||||
* size FFTs with the same bit reversal table
|
||||
* @param[in] *pBitRevTab points to bit reversal table.
|
||||
* @return none.
|
||||
*/
|
||||
|
||||
static q15_t ALIGN4 scratchData[ZERO_FFT_MAX];
|
||||
|
||||
void arm_bitreversal_q15(q15_t *pSrc16, uint32_t fftLen, uint16_t bitRevFactor,
|
||||
uint16_t *pBitRevTab) {
|
||||
q31_t *pSrc = (q31_t *)pSrc16;
|
||||
q31_t in;
|
||||
uint32_t fftLenBy2, fftLenBy2p1;
|
||||
uint32_t i, j;
|
||||
|
||||
/* Initializations */
|
||||
j = 0u;
|
||||
fftLenBy2 = fftLen / 2u;
|
||||
fftLenBy2p1 = (fftLen / 2u) + 1u;
|
||||
|
||||
/* Bit Reversal Implementation */
|
||||
for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u) {
|
||||
if (i < j) {
|
||||
/* pSrc[i] <-> pSrc[j]; */
|
||||
/* pSrc[i+1u] <-> pSrc[j+1u] */
|
||||
in = pSrc[i];
|
||||
pSrc[i] = pSrc[j];
|
||||
pSrc[j] = in;
|
||||
|
||||
/* pSrc[i + fftLenBy2p1] <-> pSrc[j + fftLenBy2p1]; */
|
||||
/* pSrc[i + fftLenBy2p1+1u] <-> pSrc[j + fftLenBy2p1+1u] */
|
||||
in = pSrc[i + fftLenBy2p1];
|
||||
pSrc[i + fftLenBy2p1] = pSrc[j + fftLenBy2p1];
|
||||
pSrc[j + fftLenBy2p1] = in;
|
||||
}
|
||||
|
||||
/* pSrc[i+1u] <-> pSrc[j+fftLenBy2]; */
|
||||
/* pSrc[i+2] <-> pSrc[j+fftLenBy2+1u] */
|
||||
in = pSrc[i + 1u];
|
||||
pSrc[i + 1u] = pSrc[j + fftLenBy2];
|
||||
pSrc[j + fftLenBy2] = in;
|
||||
|
||||
/* Reading the index for the bit reversal */
|
||||
j = *pBitRevTab;
|
||||
|
||||
/* Updating the bit reversal index depending on the fft length */
|
||||
pBitRevTab += bitRevFactor;
|
||||
}
|
||||
}
|
||||
|
||||
void arm_radix2_butterfly_q15(q15_t *pSrc, uint32_t fftLen, q15_t *pCoef,
|
||||
uint16_t twidCoefModifier) {
|
||||
int i, j, k, l;
|
||||
int n1, n2, ia;
|
||||
q15_t xt, yt, cosVal, sinVal;
|
||||
|
||||
// N = fftLen;
|
||||
n2 = fftLen;
|
||||
|
||||
n1 = n2;
|
||||
n2 = n2 >> 1;
|
||||
ia = 0;
|
||||
|
||||
// loop for groups
|
||||
for (j = 0; j < n2; j++) {
|
||||
cosVal = pCoef[ia * 2];
|
||||
sinVal = pCoef[(ia * 2) + 1];
|
||||
ia = ia + twidCoefModifier;
|
||||
|
||||
// loop for butterfly
|
||||
for (i = j; i < fftLen; i += n1) {
|
||||
l = i + n2;
|
||||
xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u);
|
||||
pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u;
|
||||
|
||||
yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u);
|
||||
pSrc[2 * i + 1] =
|
||||
((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u;
|
||||
|
||||
pSrc[2u * l] = (((int16_t)(((q31_t)xt * cosVal) >> 16)) +
|
||||
((int16_t)(((q31_t)yt * sinVal) >> 16)));
|
||||
|
||||
pSrc[2u * l + 1u] = (((int16_t)(((q31_t)yt * cosVal) >> 16)) -
|
||||
((int16_t)(((q31_t)xt * sinVal) >> 16)));
|
||||
|
||||
} // butterfly loop end
|
||||
|
||||
} // groups loop end
|
||||
|
||||
twidCoefModifier = twidCoefModifier << 1u;
|
||||
|
||||
// loop for stage
|
||||
for (k = fftLen / 2; k > 2; k = k >> 1) {
|
||||
n1 = n2;
|
||||
n2 = n2 >> 1;
|
||||
ia = 0;
|
||||
|
||||
// loop for groups
|
||||
for (j = 0; j < n2; j++) {
|
||||
cosVal = pCoef[ia * 2];
|
||||
sinVal = pCoef[(ia * 2) + 1];
|
||||
ia = ia + twidCoefModifier;
|
||||
|
||||
// loop for butterfly
|
||||
for (i = j; i < fftLen; i += n1) {
|
||||
l = i + n2;
|
||||
xt = pSrc[2 * i] - pSrc[2 * l];
|
||||
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
|
||||
|
||||
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
|
||||
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
|
||||
|
||||
pSrc[2u * l] = (((int16_t)(((q31_t)xt * cosVal) >> 16)) +
|
||||
((int16_t)(((q31_t)yt * sinVal) >> 16)));
|
||||
|
||||
pSrc[2u * l + 1u] = (((int16_t)(((q31_t)yt * cosVal) >> 16)) -
|
||||
((int16_t)(((q31_t)xt * sinVal) >> 16)));
|
||||
|
||||
} // butterfly loop end
|
||||
|
||||
} // groups loop end
|
||||
|
||||
twidCoefModifier = twidCoefModifier << 1u;
|
||||
} // stages loop end
|
||||
|
||||
n1 = n2;
|
||||
n2 = n2 >> 1;
|
||||
ia = 0;
|
||||
|
||||
// loop for groups
|
||||
for (j = 0; j < n2; j++) {
|
||||
cosVal = pCoef[ia * 2];
|
||||
sinVal = pCoef[(ia * 2) + 1];
|
||||
|
||||
ia = ia + twidCoefModifier;
|
||||
|
||||
// loop for butterfly
|
||||
for (i = j; i < fftLen; i += n1) {
|
||||
l = i + n2;
|
||||
xt = pSrc[2 * i] - pSrc[2 * l];
|
||||
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
|
||||
|
||||
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
|
||||
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
|
||||
|
||||
pSrc[2u * l] = xt;
|
||||
|
||||
pSrc[2u * l + 1u] = yt;
|
||||
|
||||
} // butterfly loop end
|
||||
|
||||
} // groups loop end
|
||||
|
||||
twidCoefModifier = twidCoefModifier << 1u;
|
||||
}
|
||||
|
||||
static inline void applyWindow(q15_t *src, const q15_t *window, uint16_t len) {
|
||||
while (len--) {
|
||||
int32_t val = *src * *window++;
|
||||
*src++ = val >> 15;
|
||||
}
|
||||
}
|
||||
|
||||
int ZeroFFT(q15_t *source, uint16_t length) {
|
||||
uint16_t twidCoefModifier;
|
||||
uint16_t bitRevFactor;
|
||||
uint16_t *pBitRevTable;
|
||||
|
||||
q15_t *pSrc = source;
|
||||
|
||||
switch (length) {
|
||||
|
||||
#if ZERO_FFT_MAX == 8192
|
||||
case 4096u:
|
||||
/* Initializations of structure parameters for 4096 point FFT */
|
||||
|
||||
/* Initialise the twiddle coef modifier value */
|
||||
twidCoefModifier = 1u;
|
||||
/* Initialise the bit reversal table modifier */
|
||||
bitRevFactor = 1u;
|
||||
/* Initialise the bit reversal table pointer */
|
||||
pBitRevTable = (uint16_t *)armBitRevTable;
|
||||
|
||||
applyWindow(source, window_hanning_4096, 4096);
|
||||
|
||||
break;
|
||||
#endif
|
||||
|
||||
#if ZERO_FFT_MAX >= 4096
|
||||
|
||||
case 2048u:
|
||||
/* Initializations of structure parameters for 2048 point FFT */
|
||||
|
||||
/* Initialise the twiddle coef modifier value */
|
||||
twidCoefModifier = 2u;
|
||||
/* Initialise the bit reversal table modifier */
|
||||
bitRevFactor = 2u;
|
||||
/* Initialise the bit reversal table pointer */
|
||||
pBitRevTable = (uint16_t *)&armBitRevTable[1];
|
||||
|
||||
applyWindow(source, window_hanning_2048, 2048);
|
||||
|
||||
break;
|
||||
|
||||
#endif
|
||||
|
||||
#if ZERO_FFT_MAX >= 2048
|
||||
case 1024u:
|
||||
/* Initializations of structure parameters for 1024 point FFT */
|
||||
twidCoefModifier = 4u;
|
||||
bitRevFactor = 4u;
|
||||
pBitRevTable = (uint16_t *)&armBitRevTable[3];
|
||||
|
||||
applyWindow(source, window_hanning_1024, 1024);
|
||||
break;
|
||||
#endif
|
||||
|
||||
#if ZERO_FFT_MAX >= 1024
|
||||
case 512u:
|
||||
/* Initializations of structure parameters for 512 point FFT */
|
||||
twidCoefModifier = 8u;
|
||||
bitRevFactor = 8u;
|
||||
pBitRevTable = (uint16_t *)&armBitRevTable[7];
|
||||
|
||||
applyWindow(source, window_hanning_512, 512);
|
||||
|
||||
break;
|
||||
#endif
|
||||
|
||||
#if ZERO_FFT_MAX >= 512
|
||||
case 256u:
|
||||
/* Initializations of structure parameters for 256 point FFT */
|
||||
twidCoefModifier = 16u;
|
||||
bitRevFactor = 16u;
|
||||
pBitRevTable = (uint16_t *)&armBitRevTable[15];
|
||||
|
||||
applyWindow(source, window_hanning_256, 256);
|
||||
|
||||
break;
|
||||
#endif
|
||||
|
||||
case 128u:
|
||||
/* Initializations of structure parameters for 128 point FFT */
|
||||
twidCoefModifier = 32u;
|
||||
bitRevFactor = 32u;
|
||||
pBitRevTable = (uint16_t *)&armBitRevTable[31];
|
||||
|
||||
applyWindow(source, window_hanning_128, 128);
|
||||
|
||||
break;
|
||||
|
||||
case 64u:
|
||||
/* Initializations of structure parameters for 64 point FFT */
|
||||
twidCoefModifier = 64u;
|
||||
bitRevFactor = 64u;
|
||||
pBitRevTable = (uint16_t *)&armBitRevTable[63];
|
||||
|
||||
applyWindow(source, window_hanning_64, 64);
|
||||
|
||||
break;
|
||||
|
||||
case 32u:
|
||||
/* Initializations of structure parameters for 32 point FFT */
|
||||
twidCoefModifier = 128u;
|
||||
bitRevFactor = 128u;
|
||||
pBitRevTable = (uint16_t *)&armBitRevTable[127];
|
||||
|
||||
applyWindow(source, window_hanning_32, 32);
|
||||
|
||||
break;
|
||||
|
||||
case 16u:
|
||||
/* Initializations of structure parameters for 16 point FFT */
|
||||
twidCoefModifier = 256u;
|
||||
bitRevFactor = 256u;
|
||||
pBitRevTable = (uint16_t *)&armBitRevTable[255];
|
||||
|
||||
applyWindow(source, window_hanning_16, 16);
|
||||
|
||||
break;
|
||||
|
||||
default:
|
||||
/* Reporting argument error if fftSize is not valid value */
|
||||
return -1;
|
||||
break;
|
||||
}
|
||||
|
||||
// split the data
|
||||
q15_t *pOut = scratchData;
|
||||
for (int i = 0; i < length; i++) {
|
||||
*pOut++ = *pSrc++; // real
|
||||
*pOut++ = 0; // imaginary
|
||||
}
|
||||
|
||||
arm_radix2_butterfly_q15(scratchData, length, (q15_t *)twiddleCoefQ15,
|
||||
twidCoefModifier);
|
||||
arm_bitreversal_q15(scratchData, length, bitRevFactor, pBitRevTable);
|
||||
|
||||
pSrc = source;
|
||||
pOut = scratchData;
|
||||
for (int i = 0; i < length; i++) {
|
||||
q15_t val = *pOut++;
|
||||
uint32_t v = abs(val);
|
||||
*pSrc++ = v;
|
||||
pOut++; // discard imaginary phase val
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
@@ -0,0 +1,776 @@
|
||||
#include "Adafruit_ZeroFFT.h"
|
||||
|
||||
const q15_t window_hanning_16[] = {
|
||||
0, 1416, 5420, 11320, 18096, 24575, 29638, 32408,
|
||||
32408, 29638, 24575, 18096, 11320, 5420, 1416, 0,
|
||||
};
|
||||
|
||||
const q15_t window_hanning_32[] = {
|
||||
0, 335, 1327, 2936, 5095, 7717, 10693, 13902, 17213, 20490, 23598,
|
||||
26411, 28814, 30708, 32015, 32682, 32682, 32015, 30708, 28814, 26411, 23598,
|
||||
20490, 17213, 13902, 10693, 7717, 5095, 2936, 1327, 335, 0,
|
||||
};
|
||||
|
||||
const q15_t window_hanning_64[] = {
|
||||
0, 81, 324, 727, 1286, 1995, 2846, 3833, 4943, 6168, 7494,
|
||||
8909, 10397, 11946, 13538, 15159, 16791, 18420, 20029, 21601, 23121, 24575,
|
||||
25947, 27224, 28393, 29443, 30363, 31144, 31778, 32260, 32584, 32746, 32746,
|
||||
32584, 32260, 31778, 31144, 30363, 29443, 28393, 27224, 25947, 24575, 23121,
|
||||
21601, 20029, 18420, 16791, 15159, 13538, 11946, 10397, 8909, 7494, 6168,
|
||||
4943, 3833, 2846, 1995, 1286, 727, 324, 81, 0,
|
||||
};
|
||||
|
||||
const q15_t window_hanning_128[] = {
|
||||
0, 20, 80, 180, 319, 498, 716, 972, 1266, 1597, 1964,
|
||||
2366, 2803, 3273, 3775, 4308, 4870, 5461, 6078, 6720, 7386, 8075,
|
||||
8783, 9510, 10254, 11013, 11785, 12568, 13361, 14161, 14966, 15775, 16586,
|
||||
17396, 18203, 19006, 19803, 20591, 21369, 22134, 22886, 23622, 24340, 25038,
|
||||
25716, 26370, 27000, 27604, 28181, 28729, 29246, 29732, 30186, 30605, 30990,
|
||||
31339, 31652, 31927, 32164, 32362, 32521, 32641, 32721, 32761, 32761, 32721,
|
||||
32641, 32521, 32362, 32164, 31927, 31652, 31339, 30990, 30605, 30186, 29732,
|
||||
29246, 28729, 28181, 27604, 27000, 26370, 25716, 25038, 24340, 23622, 22886,
|
||||
22134, 21369, 20591, 19803, 19006, 18203, 17396, 16586, 15775, 14966, 14161,
|
||||
13361, 12568, 11785, 11013, 10254, 9510, 8783, 8075, 7386, 6720, 6078,
|
||||
5461, 4870, 4308, 3775, 3273, 2803, 2366, 1964, 1597, 1266, 972,
|
||||
716, 498, 319, 180, 80, 20, 0,
|
||||
};
|
||||
|
||||
const q15_t window_hanning_256[] = {
|
||||
0, 4, 19, 44, 79, 124, 178, 243, 317, 401, 494,
|
||||
598, 710, 833, 965, 1106, 1256, 1416, 1585, 1762, 1949, 2144,
|
||||
2348, 2561, 2782, 3011, 3248, 3493, 3746, 4007, 4275, 4551, 4834,
|
||||
5124, 5420, 5724, 6033, 6349, 6672, 7000, 7333, 7673, 8017, 8367,
|
||||
8721, 9080, 9444, 9812, 10183, 10559, 10938, 11320, 11706, 12094, 12485,
|
||||
12878, 13273, 13671, 14070, 14470, 14871, 15274, 15677, 16080, 16484, 16888,
|
||||
17291, 17694, 18096, 18496, 18896, 19294, 19691, 20085, 20477, 20867, 21253,
|
||||
21637, 22018, 22395, 22769, 23139, 23505, 23866, 24223, 24575, 24922, 25264,
|
||||
25600, 25931, 26256, 26575, 26888, 27195, 27495, 27788, 28074, 28354, 28626,
|
||||
28890, 29147, 29396, 29638, 29871, 30096, 30313, 30521, 30720, 30911, 31094,
|
||||
31267, 31431, 31586, 31732, 31868, 31996, 32113, 32221, 32320, 32408, 32488,
|
||||
32557, 32616, 32666, 32706, 32735, 32755, 32765, 32765, 32755, 32735, 32706,
|
||||
32666, 32616, 32557, 32488, 32408, 32320, 32221, 32113, 31996, 31868, 31732,
|
||||
31586, 31431, 31267, 31094, 30911, 30720, 30521, 30313, 30096, 29871, 29638,
|
||||
29396, 29147, 28890, 28626, 28354, 28074, 27788, 27495, 27195, 26888, 26575,
|
||||
26256, 25931, 25600, 25264, 24922, 24575, 24223, 23866, 23505, 23139, 22769,
|
||||
22395, 22018, 21637, 21253, 20867, 20477, 20085, 19691, 19294, 18896, 18496,
|
||||
18096, 17694, 17291, 16888, 16484, 16080, 15677, 15274, 14871, 14470, 14070,
|
||||
13671, 13273, 12878, 12485, 12094, 11706, 11320, 10938, 10559, 10183, 9812,
|
||||
9444, 9080, 8721, 8367, 8017, 7673, 7333, 7000, 6672, 6349, 6033,
|
||||
5724, 5420, 5124, 4834, 4551, 4275, 4007, 3746, 3493, 3248, 3011,
|
||||
2782, 2561, 2348, 2144, 1949, 1762, 1585, 1416, 1256, 1106, 965,
|
||||
833, 710, 598, 494, 401, 317, 243, 178, 124, 79, 44,
|
||||
19, 4, 0,
|
||||
};
|
||||
|
||||
const q15_t window_hanning_512[] = {
|
||||
0, 1, 4, 11, 19, 30, 44, 60, 79, 100, 123,
|
||||
149, 178, 208, 242, 277, 316, 356, 399, 445, 492, 543,
|
||||
595, 650, 708, 767, 830, 894, 961, 1030, 1102, 1175, 1251,
|
||||
1330, 1410, 1493, 1579, 1666, 1756, 1847, 1941, 2038, 2136, 2237,
|
||||
2339, 2444, 2551, 2660, 2771, 2884, 2999, 3117, 3236, 3357, 3480,
|
||||
3605, 3732, 3861, 3992, 4125, 4259, 4396, 4534, 4674, 4816, 4959,
|
||||
5105, 5252, 5400, 5551, 5703, 5856, 6011, 6168, 6326, 6486, 6647,
|
||||
6810, 6974, 7140, 7307, 7475, 7645, 7816, 7989, 8162, 8337, 8513,
|
||||
8690, 8869, 9048, 9229, 9411, 9594, 9778, 9962, 10148, 10335, 10523,
|
||||
10711, 10901, 11091, 11282, 11474, 11666, 11860, 12054, 12248, 12443, 12639,
|
||||
12836, 13033, 13230, 13428, 13626, 13825, 14024, 14224, 14424, 14624, 14824,
|
||||
15025, 15226, 15427, 15628, 15829, 16030, 16232, 16433, 16635, 16836, 17038,
|
||||
17239, 17440, 17641, 17842, 18042, 18242, 18442, 18642, 18841, 19040, 19239,
|
||||
19437, 19635, 19832, 20029, 20225, 20420, 20615, 20810, 21003, 21196, 21388,
|
||||
21580, 21770, 21960, 22149, 22337, 22525, 22711, 22896, 23080, 23264, 23446,
|
||||
23627, 23807, 23986, 24164, 24341, 24517, 24691, 24864, 25035, 25206, 25375,
|
||||
25543, 25709, 25874, 26037, 26199, 26360, 26519, 26677, 26832, 26987, 27140,
|
||||
27291, 27440, 27588, 27734, 27879, 28021, 28162, 28301, 28439, 28574, 28708,
|
||||
28839, 28969, 29097, 29223, 29348, 29470, 29590, 29708, 29824, 29939, 30051,
|
||||
30161, 30269, 30375, 30478, 30580, 30679, 30777, 30872, 30965, 31056, 31144,
|
||||
31230, 31314, 31396, 31476, 31553, 31628, 31700, 31771, 31839, 31904, 31968,
|
||||
32029, 32087, 32144, 32197, 32249, 32298, 32344, 32389, 32430, 32470, 32507,
|
||||
32541, 32573, 32603, 32630, 32655, 32677, 32697, 32714, 32729, 32741, 32751,
|
||||
32759, 32764, 32766, 32766, 32764, 32759, 32751, 32741, 32729, 32714, 32697,
|
||||
32677, 32655, 32630, 32603, 32573, 32541, 32507, 32470, 32430, 32389, 32344,
|
||||
32298, 32249, 32197, 32144, 32087, 32029, 31968, 31904, 31839, 31771, 31700,
|
||||
31628, 31553, 31476, 31396, 31314, 31230, 31144, 31056, 30965, 30872, 30777,
|
||||
30679, 30580, 30478, 30375, 30269, 30161, 30051, 29939, 29824, 29708, 29590,
|
||||
29470, 29348, 29223, 29097, 28969, 28839, 28708, 28574, 28439, 28301, 28162,
|
||||
28021, 27879, 27734, 27588, 27440, 27291, 27140, 26987, 26832, 26677, 26519,
|
||||
26360, 26199, 26037, 25874, 25709, 25543, 25375, 25206, 25035, 24864, 24691,
|
||||
24517, 24341, 24164, 23986, 23807, 23627, 23446, 23264, 23080, 22896, 22711,
|
||||
22525, 22337, 22149, 21960, 21770, 21580, 21388, 21196, 21003, 20810, 20615,
|
||||
20420, 20225, 20029, 19832, 19635, 19437, 19239, 19040, 18841, 18642, 18442,
|
||||
18242, 18042, 17842, 17641, 17440, 17239, 17038, 16836, 16635, 16433, 16232,
|
||||
16030, 15829, 15628, 15427, 15226, 15025, 14824, 14624, 14424, 14224, 14024,
|
||||
13825, 13626, 13428, 13230, 13033, 12836, 12639, 12443, 12248, 12054, 11860,
|
||||
11666, 11474, 11282, 11091, 10901, 10711, 10523, 10335, 10148, 9962, 9778,
|
||||
9594, 9411, 9229, 9048, 8869, 8690, 8513, 8337, 8162, 7989, 7816,
|
||||
7645, 7475, 7307, 7140, 6974, 6810, 6647, 6486, 6326, 6168, 6011,
|
||||
5856, 5703, 5551, 5400, 5252, 5105, 4959, 4816, 4674, 4534, 4396,
|
||||
4259, 4125, 3992, 3861, 3732, 3605, 3480, 3357, 3236, 3117, 2999,
|
||||
2884, 2771, 2660, 2551, 2444, 2339, 2237, 2136, 2038, 1941, 1847,
|
||||
1756, 1666, 1579, 1493, 1410, 1330, 1251, 1175, 1102, 1030, 961,
|
||||
894, 830, 767, 708, 650, 595, 543, 492, 445, 399, 356,
|
||||
316, 277, 242, 208, 178, 149, 123, 100, 79, 60, 44,
|
||||
30, 19, 11, 4, 1, 0,
|
||||
};
|
||||
|
||||
const q15_t window_hanning_1024[] = {
|
||||
0, 0, 1, 2, 4, 7, 11, 15, 19, 25, 30,
|
||||
37, 44, 52, 60, 69, 79, 89, 100, 111, 123, 136,
|
||||
149, 163, 177, 192, 208, 224, 241, 259, 277, 296, 315,
|
||||
335, 355, 377, 398, 421, 444, 467, 491, 516, 542, 568,
|
||||
594, 621, 649, 677, 706, 736, 766, 797, 828, 860, 892,
|
||||
925, 959, 993, 1028, 1063, 1099, 1136, 1173, 1211, 1249, 1288,
|
||||
1327, 1367, 1408, 1449, 1491, 1533, 1576, 1619, 1663, 1707, 1752,
|
||||
1798, 1844, 1891, 1938, 1986, 2034, 2083, 2132, 2182, 2232, 2283,
|
||||
2335, 2387, 2439, 2493, 2546, 2600, 2655, 2710, 2766, 2822, 2879,
|
||||
2936, 2994, 3052, 3111, 3170, 3230, 3290, 3351, 3412, 3474, 3536,
|
||||
3599, 3662, 3725, 3789, 3854, 3919, 3985, 4051, 4117, 4184, 4252,
|
||||
4319, 4388, 4456, 4526, 4595, 4665, 4736, 4807, 4878, 4950, 5023,
|
||||
5095, 5168, 5242, 5316, 5390, 5465, 5540, 5616, 5692, 5769, 5845,
|
||||
5923, 6000, 6078, 6157, 6236, 6315, 6394, 6474, 6555, 6635, 6716,
|
||||
6798, 6880, 6962, 7044, 7127, 7210, 7294, 7378, 7462, 7547, 7631,
|
||||
7717, 7802, 7888, 7974, 8061, 8148, 8235, 8322, 8410, 8498, 8586,
|
||||
8675, 8764, 8853, 8943, 9033, 9123, 9213, 9304, 9395, 9486, 9577,
|
||||
9669, 9761, 9853, 9945, 10038, 10131, 10224, 10317, 10411, 10505, 10599,
|
||||
10693, 10787, 10882, 10977, 11072, 11167, 11263, 11359, 11454, 11550, 11647,
|
||||
11743, 11840, 11936, 12033, 12130, 12228, 12325, 12423, 12520, 12618, 12716,
|
||||
12814, 12913, 13011, 13110, 13208, 13307, 13406, 13505, 13604, 13703, 13803,
|
||||
13902, 14002, 14101, 14201, 14301, 14401, 14500, 14600, 14700, 14801, 14901,
|
||||
15001, 15101, 15202, 15302, 15402, 15503, 15603, 15704, 15805, 15905, 16006,
|
||||
16106, 16207, 16308, 16408, 16509, 16609, 16710, 16811, 16911, 17012, 17112,
|
||||
17213, 17313, 17414, 17514, 17615, 17715, 17815, 17915, 18015, 18116, 18216,
|
||||
18316, 18415, 18515, 18615, 18715, 18814, 18914, 19013, 19112, 19211, 19311,
|
||||
19409, 19508, 19607, 19706, 19804, 19902, 20001, 20099, 20197, 20294, 20392,
|
||||
20490, 20587, 20684, 20781, 20878, 20975, 21071, 21167, 21264, 21360, 21455,
|
||||
21551, 21646, 21742, 21837, 21931, 22026, 22120, 22214, 22308, 22402, 22495,
|
||||
22589, 22682, 22775, 22867, 22959, 23051, 23143, 23235, 23326, 23417, 23508,
|
||||
23598, 23688, 23778, 23868, 23957, 24046, 24135, 24224, 24312, 24400, 24487,
|
||||
24575, 24662, 24748, 24835, 24921, 25007, 25092, 25177, 25262, 25346, 25430,
|
||||
25514, 25597, 25680, 25763, 25845, 25927, 26009, 26090, 26171, 26252, 26332,
|
||||
26411, 26491, 26570, 26648, 26727, 26805, 26882, 26959, 27036, 27112, 27188,
|
||||
27263, 27338, 27413, 27487, 27561, 27634, 27707, 27780, 27852, 27923, 27995,
|
||||
28065, 28136, 28206, 28275, 28344, 28412, 28481, 28548, 28615, 28682, 28748,
|
||||
28814, 28879, 28944, 29009, 29073, 29136, 29199, 29261, 29323, 29385, 29446,
|
||||
29506, 29566, 29626, 29685, 29743, 29801, 29859, 29916, 29972, 30028, 30083,
|
||||
30138, 30193, 30247, 30300, 30353, 30405, 30457, 30508, 30559, 30609, 30659,
|
||||
30708, 30756, 30804, 30852, 30899, 30945, 30991, 31036, 31081, 31125, 31169,
|
||||
31212, 31254, 31296, 31338, 31379, 31419, 31459, 31498, 31536, 31574, 31612,
|
||||
31648, 31685, 31720, 31755, 31790, 31824, 31857, 31890, 31922, 31954, 31985,
|
||||
32015, 32045, 32074, 32103, 32131, 32158, 32185, 32211, 32237, 32262, 32287,
|
||||
32311, 32334, 32357, 32379, 32400, 32421, 32441, 32461, 32480, 32498, 32516,
|
||||
32533, 32550, 32566, 32581, 32596, 32610, 32624, 32637, 32649, 32661, 32672,
|
||||
32682, 32692, 32702, 32710, 32718, 32726, 32732, 32739, 32744, 32749, 32753,
|
||||
32757, 32760, 32763, 32765, 32766, 32766, 32766, 32766, 32765, 32763, 32760,
|
||||
32757, 32753, 32749, 32744, 32739, 32732, 32726, 32718, 32710, 32702, 32692,
|
||||
32682, 32672, 32661, 32649, 32637, 32624, 32610, 32596, 32581, 32566, 32550,
|
||||
32533, 32516, 32498, 32480, 32461, 32441, 32421, 32400, 32379, 32357, 32334,
|
||||
32311, 32287, 32262, 32237, 32211, 32185, 32158, 32131, 32103, 32074, 32045,
|
||||
32015, 31985, 31954, 31922, 31890, 31857, 31824, 31790, 31755, 31720, 31685,
|
||||
31648, 31612, 31574, 31536, 31498, 31459, 31419, 31379, 31338, 31296, 31254,
|
||||
31212, 31169, 31125, 31081, 31036, 30991, 30945, 30899, 30852, 30804, 30756,
|
||||
30708, 30659, 30609, 30559, 30508, 30457, 30405, 30353, 30300, 30247, 30193,
|
||||
30138, 30083, 30028, 29972, 29916, 29859, 29801, 29743, 29685, 29626, 29566,
|
||||
29506, 29446, 29385, 29323, 29261, 29199, 29136, 29073, 29009, 28944, 28879,
|
||||
28814, 28748, 28682, 28615, 28548, 28481, 28412, 28344, 28275, 28206, 28136,
|
||||
28065, 27995, 27923, 27852, 27780, 27707, 27634, 27561, 27487, 27413, 27338,
|
||||
27263, 27188, 27112, 27036, 26959, 26882, 26805, 26727, 26648, 26570, 26491,
|
||||
26411, 26332, 26252, 26171, 26090, 26009, 25927, 25845, 25763, 25680, 25597,
|
||||
25514, 25430, 25346, 25262, 25177, 25092, 25007, 24921, 24835, 24748, 24662,
|
||||
24575, 24487, 24400, 24312, 24224, 24135, 24046, 23957, 23868, 23778, 23688,
|
||||
23598, 23508, 23417, 23326, 23235, 23143, 23051, 22959, 22867, 22775, 22682,
|
||||
22589, 22495, 22402, 22308, 22214, 22120, 22026, 21931, 21837, 21742, 21646,
|
||||
21551, 21455, 21360, 21264, 21167, 21071, 20975, 20878, 20781, 20684, 20587,
|
||||
20490, 20392, 20294, 20197, 20099, 20001, 19902, 19804, 19706, 19607, 19508,
|
||||
19409, 19311, 19211, 19112, 19013, 18914, 18814, 18715, 18615, 18515, 18415,
|
||||
18316, 18216, 18116, 18015, 17915, 17815, 17715, 17615, 17514, 17414, 17313,
|
||||
17213, 17112, 17012, 16911, 16811, 16710, 16609, 16509, 16408, 16308, 16207,
|
||||
16106, 16006, 15905, 15805, 15704, 15603, 15503, 15402, 15302, 15202, 15101,
|
||||
15001, 14901, 14801, 14700, 14600, 14500, 14401, 14301, 14201, 14101, 14002,
|
||||
13902, 13803, 13703, 13604, 13505, 13406, 13307, 13208, 13110, 13011, 12913,
|
||||
12814, 12716, 12618, 12520, 12423, 12325, 12228, 12130, 12033, 11936, 11840,
|
||||
11743, 11647, 11550, 11454, 11359, 11263, 11167, 11072, 10977, 10882, 10787,
|
||||
10693, 10599, 10505, 10411, 10317, 10224, 10131, 10038, 9945, 9853, 9761,
|
||||
9669, 9577, 9486, 9395, 9304, 9213, 9123, 9033, 8943, 8853, 8764,
|
||||
8675, 8586, 8498, 8410, 8322, 8235, 8148, 8061, 7974, 7888, 7802,
|
||||
7717, 7631, 7547, 7462, 7378, 7294, 7210, 7127, 7044, 6962, 6880,
|
||||
6798, 6716, 6635, 6555, 6474, 6394, 6315, 6236, 6157, 6078, 6000,
|
||||
5923, 5845, 5769, 5692, 5616, 5540, 5465, 5390, 5316, 5242, 5168,
|
||||
5095, 5023, 4950, 4878, 4807, 4736, 4665, 4595, 4526, 4456, 4388,
|
||||
4319, 4252, 4184, 4117, 4051, 3985, 3919, 3854, 3789, 3725, 3662,
|
||||
3599, 3536, 3474, 3412, 3351, 3290, 3230, 3170, 3111, 3052, 2994,
|
||||
2936, 2879, 2822, 2766, 2710, 2655, 2600, 2546, 2493, 2439, 2387,
|
||||
2335, 2283, 2232, 2182, 2132, 2083, 2034, 1986, 1938, 1891, 1844,
|
||||
1798, 1752, 1707, 1663, 1619, 1576, 1533, 1491, 1449, 1408, 1367,
|
||||
1327, 1288, 1249, 1211, 1173, 1136, 1099, 1063, 1028, 993, 959,
|
||||
925, 892, 860, 828, 797, 766, 736, 706, 677, 649, 621,
|
||||
594, 568, 542, 516, 491, 467, 444, 421, 398, 377, 355,
|
||||
335, 315, 296, 277, 259, 241, 224, 208, 192, 177, 163,
|
||||
149, 136, 123, 111, 100, 89, 79, 69, 60, 52, 44,
|
||||
37, 30, 25, 19, 15, 11, 7, 4, 2, 1, 0,
|
||||
0,
|
||||
};
|
||||
|
||||
const q15_t window_hanning_2048[] = {
|
||||
0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 7,
|
||||
9, 11, 13, 15, 17, 19, 22, 24, 27, 30, 34,
|
||||
37, 40, 44, 48, 52, 56, 60, 64, 69, 74, 78,
|
||||
83, 89, 94, 99, 105, 111, 117, 123, 129, 135, 142,
|
||||
149, 156, 163, 170, 177, 184, 192, 200, 208, 216, 224,
|
||||
232, 241, 250, 258, 267, 277, 286, 295, 305, 315, 325,
|
||||
335, 345, 355, 366, 376, 387, 398, 409, 420, 432, 443,
|
||||
455, 467, 479, 491, 503, 516, 528, 541, 554, 567, 580,
|
||||
594, 607, 621, 634, 648, 663, 677, 691, 706, 720, 735,
|
||||
750, 765, 781, 796, 811, 827, 843, 859, 875, 892, 908,
|
||||
925, 941, 958, 975, 992, 1010, 1027, 1045, 1062, 1080, 1098,
|
||||
1117, 1135, 1153, 1172, 1191, 1210, 1229, 1248, 1267, 1287, 1306,
|
||||
1326, 1346, 1366, 1386, 1406, 1427, 1447, 1468, 1489, 1510, 1531,
|
||||
1553, 1574, 1596, 1617, 1639, 1661, 1683, 1706, 1728, 1751, 1773,
|
||||
1796, 1819, 1842, 1865, 1889, 1912, 1936, 1960, 1984, 2008, 2032,
|
||||
2056, 2081, 2105, 2130, 2155, 2180, 2205, 2230, 2256, 2281, 2307,
|
||||
2333, 2359, 2385, 2411, 2437, 2464, 2490, 2517, 2544, 2571, 2598,
|
||||
2625, 2652, 2680, 2708, 2735, 2763, 2791, 2819, 2848, 2876, 2905,
|
||||
2933, 2962, 2991, 3020, 3049, 3078, 3108, 3137, 3167, 3197, 3227,
|
||||
3257, 3287, 3317, 3348, 3378, 3409, 3439, 3470, 3501, 3533, 3564,
|
||||
3595, 3627, 3658, 3690, 3722, 3754, 3786, 3818, 3850, 3883, 3916,
|
||||
3948, 3981, 4014, 4047, 4080, 4113, 4147, 4180, 4214, 4248, 4281,
|
||||
4315, 4349, 4384, 4418, 4452, 4487, 4521, 4556, 4591, 4626, 4661,
|
||||
4696, 4732, 4767, 4803, 4838, 4874, 4910, 4946, 4982, 5018, 5054,
|
||||
5091, 5127, 5164, 5200, 5237, 5274, 5311, 5348, 5385, 5423, 5460,
|
||||
5498, 5535, 5573, 5611, 5649, 5687, 5725, 5763, 5802, 5840, 5879,
|
||||
5917, 5956, 5995, 6034, 6073, 6112, 6151, 6191, 6230, 6269, 6309,
|
||||
6349, 6389, 6428, 6468, 6509, 6549, 6589, 6629, 6670, 6710, 6751,
|
||||
6792, 6833, 6873, 6914, 6956, 6997, 7038, 7079, 7121, 7162, 7204,
|
||||
7246, 7287, 7329, 7371, 7413, 7455, 7498, 7540, 7582, 7625, 7667,
|
||||
7710, 7753, 7795, 7838, 7881, 7924, 7967, 8010, 8054, 8097, 8140,
|
||||
8184, 8228, 8271, 8315, 8359, 8403, 8447, 8491, 8535, 8579, 8623,
|
||||
8667, 8712, 8756, 8801, 8846, 8890, 8935, 8980, 9025, 9070, 9115,
|
||||
9160, 9205, 9250, 9296, 9341, 9386, 9432, 9477, 9523, 9569, 9614,
|
||||
9660, 9706, 9752, 9798, 9844, 9890, 9937, 9983, 10029, 10076, 10122,
|
||||
10169, 10215, 10262, 10308, 10355, 10402, 10449, 10496, 10543, 10590, 10637,
|
||||
10684, 10731, 10778, 10825, 10873, 10920, 10968, 11015, 11063, 11110, 11158,
|
||||
11206, 11253, 11301, 11349, 11397, 11445, 11493, 11541, 11589, 11637, 11685,
|
||||
11733, 11781, 11830, 11878, 11926, 11975, 12023, 12072, 12120, 12169, 12218,
|
||||
12266, 12315, 12364, 12412, 12461, 12510, 12559, 12608, 12657, 12706, 12755,
|
||||
12804, 12853, 12902, 12951, 13000, 13050, 13099, 13148, 13198, 13247, 13296,
|
||||
13346, 13395, 13445, 13494, 13544, 13593, 13643, 13692, 13742, 13792, 13841,
|
||||
13891, 13941, 13990, 14040, 14090, 14140, 14189, 14239, 14289, 14339, 14389,
|
||||
14439, 14489, 14539, 14589, 14639, 14689, 14739, 14789, 14839, 14889, 14939,
|
||||
14989, 15039, 15089, 15140, 15190, 15240, 15290, 15340, 15390, 15441, 15491,
|
||||
15541, 15591, 15641, 15692, 15742, 15792, 15842, 15893, 15943, 15993, 16044,
|
||||
16094, 16144, 16194, 16245, 16295, 16345, 16396, 16446, 16496, 16546, 16597,
|
||||
16647, 16697, 16748, 16798, 16848, 16898, 16949, 16999, 17049, 17099, 17150,
|
||||
17200, 17250, 17300, 17350, 17401, 17451, 17501, 17551, 17601, 17652, 17702,
|
||||
17752, 17802, 17852, 17902, 17952, 18002, 18052, 18102, 18152, 18202, 18252,
|
||||
18302, 18352, 18402, 18452, 18502, 18552, 18601, 18651, 18701, 18751, 18801,
|
||||
18850, 18900, 18950, 18999, 19049, 19099, 19148, 19198, 19247, 19297, 19346,
|
||||
19396, 19445, 19494, 19544, 19593, 19642, 19692, 19741, 19790, 19839, 19888,
|
||||
19938, 19987, 20036, 20085, 20134, 20183, 20231, 20280, 20329, 20378, 20427,
|
||||
20475, 20524, 20573, 20621, 20670, 20718, 20767, 20815, 20864, 20912, 20960,
|
||||
21009, 21057, 21105, 21153, 21201, 21249, 21297, 21345, 21393, 21441, 21489,
|
||||
21537, 21584, 21632, 21680, 21727, 21775, 21822, 21870, 21917, 21964, 22011,
|
||||
22059, 22106, 22153, 22200, 22247, 22294, 22341, 22388, 22434, 22481, 22528,
|
||||
22574, 22621, 22667, 22714, 22760, 22806, 22852, 22899, 22945, 22991, 23037,
|
||||
23083, 23129, 23174, 23220, 23266, 23311, 23357, 23402, 23448, 23493, 23538,
|
||||
23584, 23629, 23674, 23719, 23764, 23809, 23853, 23898, 23943, 23987, 24032,
|
||||
24076, 24121, 24165, 24209, 24253, 24297, 24341, 24385, 24429, 24473, 24517,
|
||||
24560, 24604, 24647, 24691, 24734, 24777, 24820, 24863, 24906, 24949, 24992,
|
||||
25035, 25077, 25120, 25163, 25205, 25247, 25290, 25332, 25374, 25416, 25458,
|
||||
25500, 25541, 25583, 25625, 25666, 25707, 25749, 25790, 25831, 25872, 25913,
|
||||
25954, 25995, 26035, 26076, 26116, 26157, 26197, 26237, 26277, 26318, 26357,
|
||||
26397, 26437, 26477, 26516, 26556, 26595, 26634, 26674, 26713, 26752, 26791,
|
||||
26829, 26868, 26907, 26945, 26984, 27022, 27060, 27098, 27136, 27174, 27212,
|
||||
27249, 27287, 27325, 27362, 27399, 27436, 27473, 27510, 27547, 27584, 27621,
|
||||
27657, 27694, 27730, 27766, 27802, 27838, 27874, 27910, 27946, 27981, 28017,
|
||||
28052, 28087, 28122, 28157, 28192, 28227, 28262, 28296, 28331, 28365, 28399,
|
||||
28434, 28468, 28502, 28535, 28569, 28603, 28636, 28669, 28702, 28736, 28769,
|
||||
28801, 28834, 28867, 28899, 28932, 28964, 28996, 29028, 29060, 29092, 29124,
|
||||
29155, 29187, 29218, 29249, 29280, 29311, 29342, 29373, 29403, 29434, 29464,
|
||||
29494, 29524, 29554, 29584, 29614, 29643, 29673, 29702, 29731, 29761, 29790,
|
||||
29818, 29847, 29876, 29904, 29932, 29961, 29989, 30017, 30045, 30072, 30100,
|
||||
30127, 30155, 30182, 30209, 30236, 30262, 30289, 30316, 30342, 30368, 30394,
|
||||
30420, 30446, 30472, 30498, 30523, 30548, 30574, 30599, 30624, 30648, 30673,
|
||||
30698, 30722, 30746, 30770, 30794, 30818, 30842, 30866, 30889, 30912, 30935,
|
||||
30958, 30981, 31004, 31027, 31049, 31072, 31094, 31116, 31138, 31160, 31181,
|
||||
31203, 31224, 31245, 31266, 31287, 31308, 31329, 31349, 31370, 31390, 31410,
|
||||
31430, 31450, 31470, 31489, 31509, 31528, 31547, 31566, 31585, 31603, 31622,
|
||||
31640, 31659, 31677, 31695, 31712, 31730, 31748, 31765, 31782, 31799, 31816,
|
||||
31833, 31850, 31866, 31883, 31899, 31915, 31931, 31947, 31962, 31978, 31993,
|
||||
32008, 32023, 32038, 32053, 32068, 32082, 32096, 32111, 32125, 32138, 32152,
|
||||
32166, 32179, 32192, 32206, 32219, 32231, 32244, 32257, 32269, 32281, 32293,
|
||||
32305, 32317, 32329, 32340, 32351, 32362, 32374, 32384, 32395, 32406, 32416,
|
||||
32426, 32436, 32446, 32456, 32466, 32475, 32485, 32494, 32503, 32512, 32521,
|
||||
32529, 32538, 32546, 32554, 32562, 32570, 32578, 32585, 32593, 32600, 32607,
|
||||
32614, 32621, 32627, 32634, 32640, 32646, 32652, 32658, 32664, 32669, 32675,
|
||||
32680, 32685, 32690, 32695, 32699, 32704, 32708, 32712, 32716, 32720, 32724,
|
||||
32727, 32731, 32734, 32737, 32740, 32743, 32745, 32748, 32750, 32752, 32754,
|
||||
32756, 32758, 32760, 32761, 32762, 32763, 32764, 32765, 32766, 32766, 32766,
|
||||
32766, 32766, 32766, 32766, 32766, 32765, 32764, 32763, 32762, 32761, 32760,
|
||||
32758, 32756, 32754, 32752, 32750, 32748, 32745, 32743, 32740, 32737, 32734,
|
||||
32731, 32727, 32724, 32720, 32716, 32712, 32708, 32704, 32699, 32695, 32690,
|
||||
32685, 32680, 32675, 32669, 32664, 32658, 32652, 32646, 32640, 32634, 32627,
|
||||
32621, 32614, 32607, 32600, 32593, 32585, 32578, 32570, 32562, 32554, 32546,
|
||||
32538, 32529, 32521, 32512, 32503, 32494, 32485, 32475, 32466, 32456, 32446,
|
||||
32436, 32426, 32416, 32406, 32395, 32384, 32374, 32362, 32351, 32340, 32329,
|
||||
32317, 32305, 32293, 32281, 32269, 32257, 32244, 32231, 32219, 32206, 32192,
|
||||
32179, 32166, 32152, 32138, 32125, 32111, 32096, 32082, 32068, 32053, 32038,
|
||||
32023, 32008, 31993, 31978, 31962, 31947, 31931, 31915, 31899, 31883, 31866,
|
||||
31850, 31833, 31816, 31799, 31782, 31765, 31748, 31730, 31712, 31695, 31677,
|
||||
31659, 31640, 31622, 31603, 31585, 31566, 31547, 31528, 31509, 31489, 31470,
|
||||
31450, 31430, 31410, 31390, 31370, 31349, 31329, 31308, 31287, 31266, 31245,
|
||||
31224, 31203, 31181, 31160, 31138, 31116, 31094, 31072, 31049, 31027, 31004,
|
||||
30981, 30958, 30935, 30912, 30889, 30866, 30842, 30818, 30794, 30770, 30746,
|
||||
30722, 30698, 30673, 30648, 30624, 30599, 30574, 30548, 30523, 30498, 30472,
|
||||
30446, 30420, 30394, 30368, 30342, 30316, 30289, 30262, 30236, 30209, 30182,
|
||||
30155, 30127, 30100, 30072, 30045, 30017, 29989, 29961, 29932, 29904, 29876,
|
||||
29847, 29818, 29790, 29761, 29731, 29702, 29673, 29643, 29614, 29584, 29554,
|
||||
29524, 29494, 29464, 29434, 29403, 29373, 29342, 29311, 29280, 29249, 29218,
|
||||
29187, 29155, 29124, 29092, 29060, 29028, 28996, 28964, 28932, 28899, 28867,
|
||||
28834, 28801, 28769, 28736, 28702, 28669, 28636, 28603, 28569, 28535, 28502,
|
||||
28468, 28434, 28399, 28365, 28331, 28296, 28262, 28227, 28192, 28157, 28122,
|
||||
28087, 28052, 28017, 27981, 27946, 27910, 27874, 27838, 27802, 27766, 27730,
|
||||
27694, 27657, 27621, 27584, 27547, 27510, 27473, 27436, 27399, 27362, 27325,
|
||||
27287, 27249, 27212, 27174, 27136, 27098, 27060, 27022, 26984, 26945, 26907,
|
||||
26868, 26829, 26791, 26752, 26713, 26674, 26634, 26595, 26556, 26516, 26477,
|
||||
26437, 26397, 26357, 26318, 26277, 26237, 26197, 26157, 26116, 26076, 26035,
|
||||
25995, 25954, 25913, 25872, 25831, 25790, 25749, 25707, 25666, 25625, 25583,
|
||||
25541, 25500, 25458, 25416, 25374, 25332, 25290, 25247, 25205, 25163, 25120,
|
||||
25077, 25035, 24992, 24949, 24906, 24863, 24820, 24777, 24734, 24691, 24647,
|
||||
24604, 24560, 24517, 24473, 24429, 24385, 24341, 24297, 24253, 24209, 24165,
|
||||
24121, 24076, 24032, 23987, 23943, 23898, 23853, 23809, 23764, 23719, 23674,
|
||||
23629, 23584, 23538, 23493, 23448, 23402, 23357, 23311, 23266, 23220, 23174,
|
||||
23129, 23083, 23037, 22991, 22945, 22899, 22852, 22806, 22760, 22714, 22667,
|
||||
22621, 22574, 22528, 22481, 22434, 22388, 22341, 22294, 22247, 22200, 22153,
|
||||
22106, 22059, 22011, 21964, 21917, 21870, 21822, 21775, 21727, 21680, 21632,
|
||||
21584, 21537, 21489, 21441, 21393, 21345, 21297, 21249, 21201, 21153, 21105,
|
||||
21057, 21009, 20960, 20912, 20864, 20815, 20767, 20718, 20670, 20621, 20573,
|
||||
20524, 20475, 20427, 20378, 20329, 20280, 20231, 20183, 20134, 20085, 20036,
|
||||
19987, 19938, 19888, 19839, 19790, 19741, 19692, 19642, 19593, 19544, 19494,
|
||||
19445, 19396, 19346, 19297, 19247, 19198, 19148, 19099, 19049, 18999, 18950,
|
||||
18900, 18850, 18801, 18751, 18701, 18651, 18601, 18552, 18502, 18452, 18402,
|
||||
18352, 18302, 18252, 18202, 18152, 18102, 18052, 18002, 17952, 17902, 17852,
|
||||
17802, 17752, 17702, 17652, 17601, 17551, 17501, 17451, 17401, 17350, 17300,
|
||||
17250, 17200, 17150, 17099, 17049, 16999, 16949, 16898, 16848, 16798, 16748,
|
||||
16697, 16647, 16597, 16546, 16496, 16446, 16396, 16345, 16295, 16245, 16194,
|
||||
16144, 16094, 16044, 15993, 15943, 15893, 15842, 15792, 15742, 15692, 15641,
|
||||
15591, 15541, 15491, 15441, 15390, 15340, 15290, 15240, 15190, 15140, 15089,
|
||||
15039, 14989, 14939, 14889, 14839, 14789, 14739, 14689, 14639, 14589, 14539,
|
||||
14489, 14439, 14389, 14339, 14289, 14239, 14189, 14140, 14090, 14040, 13990,
|
||||
13941, 13891, 13841, 13792, 13742, 13692, 13643, 13593, 13544, 13494, 13445,
|
||||
13395, 13346, 13296, 13247, 13198, 13148, 13099, 13050, 13000, 12951, 12902,
|
||||
12853, 12804, 12755, 12706, 12657, 12608, 12559, 12510, 12461, 12412, 12364,
|
||||
12315, 12266, 12218, 12169, 12120, 12072, 12023, 11975, 11926, 11878, 11830,
|
||||
11781, 11733, 11685, 11637, 11589, 11541, 11493, 11445, 11397, 11349, 11301,
|
||||
11253, 11206, 11158, 11110, 11063, 11015, 10968, 10920, 10873, 10825, 10778,
|
||||
10731, 10684, 10637, 10590, 10543, 10496, 10449, 10402, 10355, 10308, 10262,
|
||||
10215, 10169, 10122, 10076, 10029, 9983, 9937, 9890, 9844, 9798, 9752,
|
||||
9706, 9660, 9614, 9569, 9523, 9477, 9432, 9386, 9341, 9296, 9250,
|
||||
9205, 9160, 9115, 9070, 9025, 8980, 8935, 8890, 8846, 8801, 8756,
|
||||
8712, 8667, 8623, 8579, 8535, 8491, 8447, 8403, 8359, 8315, 8271,
|
||||
8228, 8184, 8140, 8097, 8054, 8010, 7967, 7924, 7881, 7838, 7795,
|
||||
7753, 7710, 7667, 7625, 7582, 7540, 7498, 7455, 7413, 7371, 7329,
|
||||
7287, 7246, 7204, 7162, 7121, 7079, 7038, 6997, 6956, 6914, 6873,
|
||||
6833, 6792, 6751, 6710, 6670, 6629, 6589, 6549, 6509, 6468, 6428,
|
||||
6389, 6349, 6309, 6269, 6230, 6191, 6151, 6112, 6073, 6034, 5995,
|
||||
5956, 5917, 5879, 5840, 5802, 5763, 5725, 5687, 5649, 5611, 5573,
|
||||
5535, 5498, 5460, 5423, 5385, 5348, 5311, 5274, 5237, 5200, 5164,
|
||||
5127, 5091, 5054, 5018, 4982, 4946, 4910, 4874, 4838, 4803, 4767,
|
||||
4732, 4696, 4661, 4626, 4591, 4556, 4521, 4487, 4452, 4418, 4384,
|
||||
4349, 4315, 4281, 4248, 4214, 4180, 4147, 4113, 4080, 4047, 4014,
|
||||
3981, 3948, 3916, 3883, 3850, 3818, 3786, 3754, 3722, 3690, 3658,
|
||||
3627, 3595, 3564, 3533, 3501, 3470, 3439, 3409, 3378, 3348, 3317,
|
||||
3287, 3257, 3227, 3197, 3167, 3137, 3108, 3078, 3049, 3020, 2991,
|
||||
2962, 2933, 2905, 2876, 2848, 2819, 2791, 2763, 2735, 2708, 2680,
|
||||
2652, 2625, 2598, 2571, 2544, 2517, 2490, 2464, 2437, 2411, 2385,
|
||||
2359, 2333, 2307, 2281, 2256, 2230, 2205, 2180, 2155, 2130, 2105,
|
||||
2081, 2056, 2032, 2008, 1984, 1960, 1936, 1912, 1889, 1865, 1842,
|
||||
1819, 1796, 1773, 1751, 1728, 1706, 1683, 1661, 1639, 1617, 1596,
|
||||
1574, 1553, 1531, 1510, 1489, 1468, 1447, 1427, 1406, 1386, 1366,
|
||||
1346, 1326, 1306, 1287, 1267, 1248, 1229, 1210, 1191, 1172, 1153,
|
||||
1135, 1117, 1098, 1080, 1062, 1045, 1027, 1010, 992, 975, 958,
|
||||
941, 925, 908, 892, 875, 859, 843, 827, 811, 796, 781,
|
||||
765, 750, 735, 720, 706, 691, 677, 663, 648, 634, 621,
|
||||
607, 594, 580, 567, 554, 541, 528, 516, 503, 491, 479,
|
||||
467, 455, 443, 432, 420, 409, 398, 387, 376, 366, 355,
|
||||
345, 335, 325, 315, 305, 295, 286, 277, 267, 258, 250,
|
||||
241, 232, 224, 216, 208, 200, 192, 184, 177, 170, 163,
|
||||
156, 149, 142, 135, 129, 123, 117, 111, 105, 99, 94,
|
||||
89, 83, 78, 74, 69, 64, 60, 56, 52, 48, 44,
|
||||
40, 37, 34, 30, 27, 24, 22, 19, 17, 15, 13,
|
||||
11, 9, 7, 6, 4, 3, 2, 1, 1, 0, 0,
|
||||
0, 0,
|
||||
};
|
||||
|
||||
const q15_t window_hanning_4096[] = {
|
||||
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1,
|
||||
2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8,
|
||||
9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
|
||||
20, 22, 23, 24, 26, 27, 29, 30, 32, 34, 35,
|
||||
37, 39, 40, 42, 44, 46, 48, 50, 52, 54, 56,
|
||||
58, 60, 62, 64, 67, 69, 71, 74, 76, 78, 81,
|
||||
83, 86, 89, 91, 94, 97, 99, 102, 105, 108, 111,
|
||||
114, 117, 120, 123, 126, 129, 132, 135, 139, 142, 145,
|
||||
149, 152, 155, 159, 162, 166, 170, 173, 177, 181, 184,
|
||||
188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228,
|
||||
232, 237, 241, 245, 249, 254, 258, 263, 267, 272, 276,
|
||||
281, 286, 290, 295, 300, 305, 310, 314, 319, 324, 329,
|
||||
334, 339, 345, 350, 355, 360, 365, 371, 376, 381, 387,
|
||||
392, 398, 403, 409, 414, 420, 426, 432, 437, 443, 449,
|
||||
455, 461, 467, 473, 479, 485, 491, 497, 503, 509, 515,
|
||||
522, 528, 534, 541, 547, 554, 560, 567, 573, 580, 587,
|
||||
593, 600, 607, 614, 620, 627, 634, 641, 648, 655, 662,
|
||||
669, 676, 684, 691, 698, 705, 713, 720, 727, 735, 742,
|
||||
750, 757, 765, 772, 780, 788, 796, 803, 811, 819, 827,
|
||||
835, 843, 851, 859, 867, 875, 883, 891, 899, 908, 916,
|
||||
924, 932, 941, 949, 958, 966, 975, 983, 992, 1000, 1009,
|
||||
1018, 1027, 1035, 1044, 1053, 1062, 1071, 1080, 1089, 1098, 1107,
|
||||
1116, 1125, 1134, 1144, 1153, 1162, 1171, 1181, 1190, 1200, 1209,
|
||||
1219, 1228, 1238, 1247, 1257, 1267, 1276, 1286, 1296, 1306, 1315,
|
||||
1325, 1335, 1345, 1355, 1365, 1375, 1385, 1396, 1406, 1416, 1426,
|
||||
1436, 1447, 1457, 1467, 1478, 1488, 1499, 1509, 1520, 1531, 1541,
|
||||
1552, 1563, 1573, 1584, 1595, 1606, 1617, 1627, 1638, 1649, 1660,
|
||||
1671, 1682, 1694, 1705, 1716, 1727, 1738, 1750, 1761, 1772, 1784,
|
||||
1795, 1807, 1818, 1830, 1841, 1853, 1864, 1876, 1888, 1900, 1911,
|
||||
1923, 1935, 1947, 1959, 1971, 1983, 1995, 2007, 2019, 2031, 2043,
|
||||
2055, 2067, 2080, 2092, 2104, 2117, 2129, 2141, 2154, 2166, 2179,
|
||||
2191, 2204, 2217, 2229, 2242, 2255, 2267, 2280, 2293, 2306, 2319,
|
||||
2332, 2344, 2357, 2370, 2383, 2397, 2410, 2423, 2436, 2449, 2462,
|
||||
2476, 2489, 2502, 2516, 2529, 2543, 2556, 2570, 2583, 2597, 2610,
|
||||
2624, 2638, 2651, 2665, 2679, 2692, 2706, 2720, 2734, 2748, 2762,
|
||||
2776, 2790, 2804, 2818, 2832, 2846, 2860, 2875, 2889, 2903, 2918,
|
||||
2932, 2946, 2961, 2975, 2990, 3004, 3019, 3033, 3048, 3062, 3077,
|
||||
3092, 3106, 3121, 3136, 3151, 3166, 3180, 3195, 3210, 3225, 3240,
|
||||
3255, 3270, 3285, 3300, 3316, 3331, 3346, 3361, 3376, 3392, 3407,
|
||||
3422, 3438, 3453, 3469, 3484, 3500, 3515, 3531, 3546, 3562, 3578,
|
||||
3593, 3609, 3625, 3641, 3657, 3672, 3688, 3704, 3720, 3736, 3752,
|
||||
3768, 3784, 3800, 3816, 3833, 3849, 3865, 3881, 3897, 3914, 3930,
|
||||
3946, 3963, 3979, 3996, 4012, 4029, 4045, 4062, 4078, 4095, 4111,
|
||||
4128, 4145, 4162, 4178, 4195, 4212, 4229, 4246, 4263, 4279, 4296,
|
||||
4313, 4330, 4347, 4364, 4382, 4399, 4416, 4433, 4450, 4468, 4485,
|
||||
4502, 4519, 4537, 4554, 4572, 4589, 4606, 4624, 4641, 4659, 4677,
|
||||
4694, 4712, 4729, 4747, 4765, 4783, 4800, 4818, 4836, 4854, 4872,
|
||||
4890, 4907, 4925, 4943, 4961, 4979, 4998, 5016, 5034, 5052, 5070,
|
||||
5088, 5106, 5125, 5143, 5161, 5180, 5198, 5216, 5235, 5253, 5272,
|
||||
5290, 5309, 5327, 5346, 5364, 5383, 5402, 5420, 5439, 5458, 5476,
|
||||
5495, 5514, 5533, 5552, 5571, 5589, 5608, 5627, 5646, 5665, 5684,
|
||||
5703, 5722, 5742, 5761, 5780, 5799, 5818, 5837, 5857, 5876, 5895,
|
||||
5915, 5934, 5953, 5973, 5992, 6012, 6031, 6051, 6070, 6090, 6109,
|
||||
6129, 6148, 6168, 6188, 6207, 6227, 6247, 6267, 6286, 6306, 6326,
|
||||
6346, 6366, 6386, 6406, 6426, 6446, 6466, 6486, 6506, 6526, 6546,
|
||||
6566, 6586, 6606, 6626, 6647, 6667, 6687, 6707, 6728, 6748, 6768,
|
||||
6789, 6809, 6829, 6850, 6870, 6891, 6911, 6932, 6952, 6973, 6994,
|
||||
7014, 7035, 7055, 7076, 7097, 7118, 7138, 7159, 7180, 7201, 7221,
|
||||
7242, 7263, 7284, 7305, 7326, 7347, 7368, 7389, 7410, 7431, 7452,
|
||||
7473, 7494, 7515, 7536, 7558, 7579, 7600, 7621, 7643, 7664, 7685,
|
||||
7706, 7728, 7749, 7770, 7792, 7813, 7835, 7856, 7878, 7899, 7921,
|
||||
7942, 7964, 7985, 8007, 8029, 8050, 8072, 8093, 8115, 8137, 8159,
|
||||
8180, 8202, 8224, 8246, 8268, 8289, 8311, 8333, 8355, 8377, 8399,
|
||||
8421, 8443, 8465, 8487, 8509, 8531, 8553, 8575, 8597, 8619, 8642,
|
||||
8664, 8686, 8708, 8730, 8753, 8775, 8797, 8819, 8842, 8864, 8886,
|
||||
8909, 8931, 8953, 8976, 8998, 9021, 9043, 9066, 9088, 9111, 9133,
|
||||
9156, 9178, 9201, 9224, 9246, 9269, 9291, 9314, 9337, 9360, 9382,
|
||||
9405, 9428, 9450, 9473, 9496, 9519, 9542, 9565, 9587, 9610, 9633,
|
||||
9656, 9679, 9702, 9725, 9748, 9771, 9794, 9817, 9840, 9863, 9886,
|
||||
9909, 9932, 9955, 9979, 10002, 10025, 10048, 10071, 10094, 10118, 10141,
|
||||
10164, 10187, 10211, 10234, 10257, 10281, 10304, 10327, 10351, 10374, 10397,
|
||||
10421, 10444, 10468, 10491, 10515, 10538, 10562, 10585, 10609, 10632, 10656,
|
||||
10679, 10703, 10726, 10750, 10774, 10797, 10821, 10845, 10868, 10892, 10916,
|
||||
10939, 10963, 10987, 11010, 11034, 11058, 11082, 11106, 11129, 11153, 11177,
|
||||
11201, 11225, 11249, 11272, 11296, 11320, 11344, 11368, 11392, 11416, 11440,
|
||||
11464, 11488, 11512, 11536, 11560, 11584, 11608, 11632, 11656, 11680, 11704,
|
||||
11728, 11752, 11777, 11801, 11825, 11849, 11873, 11897, 11921, 11946, 11970,
|
||||
11994, 12018, 12043, 12067, 12091, 12115, 12140, 12164, 12188, 12212, 12237,
|
||||
12261, 12285, 12310, 12334, 12359, 12383, 12407, 12432, 12456, 12480, 12505,
|
||||
12529, 12554, 12578, 12603, 12627, 12652, 12676, 12701, 12725, 12750, 12774,
|
||||
12799, 12823, 12848, 12872, 12897, 12921, 12946, 12971, 12995, 13020, 13044,
|
||||
13069, 13094, 13118, 13143, 13167, 13192, 13217, 13241, 13266, 13291, 13316,
|
||||
13340, 13365, 13390, 13414, 13439, 13464, 13489, 13513, 13538, 13563, 13588,
|
||||
13612, 13637, 13662, 13687, 13711, 13736, 13761, 13786, 13811, 13836, 13860,
|
||||
13885, 13910, 13935, 13960, 13985, 14010, 14034, 14059, 14084, 14109, 14134,
|
||||
14159, 14184, 14209, 14234, 14259, 14283, 14308, 14333, 14358, 14383, 14408,
|
||||
14433, 14458, 14483, 14508, 14533, 14558, 14583, 14608, 14633, 14658, 14683,
|
||||
14708, 14733, 14758, 14783, 14808, 14833, 14858, 14883, 14908, 14933, 14958,
|
||||
14983, 15008, 15033, 15058, 15083, 15109, 15134, 15159, 15184, 15209, 15234,
|
||||
15259, 15284, 15309, 15334, 15359, 15384, 15409, 15435, 15460, 15485, 15510,
|
||||
15535, 15560, 15585, 15610, 15635, 15661, 15686, 15711, 15736, 15761, 15786,
|
||||
15811, 15836, 15861, 15887, 15912, 15937, 15962, 15987, 16012, 16037, 16063,
|
||||
16088, 16113, 16138, 16163, 16188, 16213, 16238, 16264, 16289, 16314, 16339,
|
||||
16364, 16389, 16414, 16440, 16465, 16490, 16515, 16540, 16565, 16590, 16616,
|
||||
16641, 16666, 16691, 16716, 16741, 16766, 16791, 16817, 16842, 16867, 16892,
|
||||
16917, 16942, 16967, 16992, 17018, 17043, 17068, 17093, 17118, 17143, 17168,
|
||||
17193, 17218, 17244, 17269, 17294, 17319, 17344, 17369, 17394, 17419, 17444,
|
||||
17469, 17495, 17520, 17545, 17570, 17595, 17620, 17645, 17670, 17695, 17720,
|
||||
17745, 17770, 17795, 17820, 17845, 17870, 17895, 17920, 17945, 17970, 17996,
|
||||
18021, 18046, 18071, 18096, 18121, 18146, 18171, 18196, 18220, 18245, 18270,
|
||||
18295, 18320, 18345, 18370, 18395, 18420, 18445, 18470, 18495, 18520, 18545,
|
||||
18570, 18595, 18620, 18644, 18669, 18694, 18719, 18744, 18769, 18794, 18819,
|
||||
18843, 18868, 18893, 18918, 18943, 18968, 18992, 19017, 19042, 19067, 19092,
|
||||
19116, 19141, 19166, 19191, 19216, 19240, 19265, 19290, 19315, 19339, 19364,
|
||||
19389, 19413, 19438, 19463, 19488, 19512, 19537, 19562, 19586, 19611, 19635,
|
||||
19660, 19685, 19709, 19734, 19759, 19783, 19808, 19832, 19857, 19881, 19906,
|
||||
19931, 19955, 19980, 20004, 20029, 20053, 20078, 20102, 20127, 20151, 20176,
|
||||
20200, 20224, 20249, 20273, 20298, 20322, 20347, 20371, 20395, 20420, 20444,
|
||||
20468, 20493, 20517, 20541, 20566, 20590, 20614, 20639, 20663, 20687, 20711,
|
||||
20736, 20760, 20784, 20808, 20832, 20857, 20881, 20905, 20929, 20953, 20977,
|
||||
21002, 21026, 21050, 21074, 21098, 21122, 21146, 21170, 21194, 21218, 21242,
|
||||
21266, 21290, 21314, 21338, 21362, 21386, 21410, 21434, 21458, 21482, 21506,
|
||||
21529, 21553, 21577, 21601, 21625, 21649, 21672, 21696, 21720, 21744, 21767,
|
||||
21791, 21815, 21839, 21862, 21886, 21910, 21933, 21957, 21981, 22004, 22028,
|
||||
22051, 22075, 22099, 22122, 22146, 22169, 22193, 22216, 22240, 22263, 22287,
|
||||
22310, 22333, 22357, 22380, 22404, 22427, 22450, 22474, 22497, 22520, 22544,
|
||||
22567, 22590, 22613, 22637, 22660, 22683, 22706, 22730, 22753, 22776, 22799,
|
||||
22822, 22845, 22868, 22891, 22914, 22938, 22961, 22984, 23007, 23030, 23053,
|
||||
23075, 23098, 23121, 23144, 23167, 23190, 23213, 23236, 23259, 23281, 23304,
|
||||
23327, 23350, 23372, 23395, 23418, 23441, 23463, 23486, 23509, 23531, 23554,
|
||||
23576, 23599, 23621, 23644, 23667, 23689, 23712, 23734, 23756, 23779, 23801,
|
||||
23824, 23846, 23869, 23891, 23913, 23936, 23958, 23980, 24002, 24025, 24047,
|
||||
24069, 24091, 24113, 24136, 24158, 24180, 24202, 24224, 24246, 24268, 24290,
|
||||
24312, 24334, 24356, 24378, 24400, 24422, 24444, 24466, 24488, 24509, 24531,
|
||||
24553, 24575, 24597, 24618, 24640, 24662, 24683, 24705, 24727, 24748, 24770,
|
||||
24791, 24813, 24835, 24856, 24878, 24899, 24921, 24942, 24963, 24985, 25006,
|
||||
25028, 25049, 25070, 25092, 25113, 25134, 25155, 25177, 25198, 25219, 25240,
|
||||
25261, 25282, 25303, 25325, 25346, 25367, 25388, 25409, 25430, 25451, 25471,
|
||||
25492, 25513, 25534, 25555, 25576, 25597, 25617, 25638, 25659, 25680, 25700,
|
||||
25721, 25742, 25762, 25783, 25803, 25824, 25844, 25865, 25885, 25906, 25926,
|
||||
25947, 25967, 25988, 26008, 26028, 26049, 26069, 26089, 26109, 26130, 26150,
|
||||
26170, 26190, 26210, 26230, 26250, 26270, 26290, 26310, 26330, 26350, 26370,
|
||||
26390, 26410, 26430, 26450, 26470, 26489, 26509, 26529, 26549, 26568, 26588,
|
||||
26608, 26627, 26647, 26667, 26686, 26706, 26725, 26745, 26764, 26784, 26803,
|
||||
26822, 26842, 26861, 26880, 26900, 26919, 26938, 26957, 26977, 26996, 27015,
|
||||
27034, 27053, 27072, 27091, 27110, 27129, 27148, 27167, 27186, 27205, 27224,
|
||||
27243, 27261, 27280, 27299, 27318, 27336, 27355, 27374, 27392, 27411, 27430,
|
||||
27448, 27467, 27485, 27504, 27522, 27540, 27559, 27577, 27596, 27614, 27632,
|
||||
27650, 27669, 27687, 27705, 27723, 27741, 27759, 27777, 27796, 27814, 27832,
|
||||
27850, 27867, 27885, 27903, 27921, 27939, 27957, 27975, 27992, 28010, 28028,
|
||||
28045, 28063, 28081, 28098, 28116, 28133, 28151, 28168, 28186, 28203, 28221,
|
||||
28238, 28255, 28273, 28290, 28307, 28324, 28342, 28359, 28376, 28393, 28410,
|
||||
28427, 28444, 28461, 28478, 28495, 28512, 28529, 28546, 28563, 28579, 28596,
|
||||
28613, 28630, 28646, 28663, 28680, 28696, 28713, 28729, 28746, 28762, 28779,
|
||||
28795, 28811, 28828, 28844, 28860, 28877, 28893, 28909, 28925, 28942, 28958,
|
||||
28974, 28990, 29006, 29022, 29038, 29054, 29070, 29086, 29102, 29117, 29133,
|
||||
29149, 29165, 29180, 29196, 29212, 29227, 29243, 29258, 29274, 29290, 29305,
|
||||
29320, 29336, 29351, 29367, 29382, 29397, 29412, 29428, 29443, 29458, 29473,
|
||||
29488, 29503, 29518, 29533, 29548, 29563, 29578, 29593, 29608, 29623, 29638,
|
||||
29652, 29667, 29682, 29696, 29711, 29726, 29740, 29755, 29769, 29784, 29798,
|
||||
29813, 29827, 29841, 29856, 29870, 29884, 29898, 29913, 29927, 29941, 29955,
|
||||
29969, 29983, 29997, 30011, 30025, 30039, 30053, 30067, 30080, 30094, 30108,
|
||||
30122, 30135, 30149, 30163, 30176, 30190, 30203, 30217, 30230, 30244, 30257,
|
||||
30270, 30284, 30297, 30310, 30323, 30337, 30350, 30363, 30376, 30389, 30402,
|
||||
30415, 30428, 30441, 30454, 30467, 30480, 30492, 30505, 30518, 30531, 30543,
|
||||
30556, 30568, 30581, 30593, 30606, 30618, 30631, 30643, 30656, 30668, 30680,
|
||||
30692, 30705, 30717, 30729, 30741, 30753, 30765, 30777, 30789, 30801, 30813,
|
||||
30825, 30837, 30849, 30861, 30872, 30884, 30896, 30907, 30919, 30931, 30942,
|
||||
30954, 30965, 30977, 30988, 30999, 31011, 31022, 31033, 31044, 31056, 31067,
|
||||
31078, 31089, 31100, 31111, 31122, 31133, 31144, 31155, 31166, 31177, 31187,
|
||||
31198, 31209, 31220, 31230, 31241, 31251, 31262, 31272, 31283, 31293, 31304,
|
||||
31314, 31324, 31335, 31345, 31355, 31365, 31376, 31386, 31396, 31406, 31416,
|
||||
31426, 31436, 31446, 31455, 31465, 31475, 31485, 31495, 31504, 31514, 31524,
|
||||
31533, 31543, 31552, 31562, 31571, 31581, 31590, 31599, 31609, 31618, 31627,
|
||||
31636, 31645, 31655, 31664, 31673, 31682, 31691, 31700, 31709, 31717, 31726,
|
||||
31735, 31744, 31752, 31761, 31770, 31778, 31787, 31796, 31804, 31813, 31821,
|
||||
31829, 31838, 31846, 31854, 31863, 31871, 31879, 31887, 31895, 31903, 31911,
|
||||
31919, 31927, 31935, 31943, 31951, 31959, 31967, 31974, 31982, 31990, 31997,
|
||||
32005, 32012, 32020, 32027, 32035, 32042, 32050, 32057, 32064, 32072, 32079,
|
||||
32086, 32093, 32100, 32107, 32114, 32121, 32128, 32135, 32142, 32149, 32156,
|
||||
32163, 32169, 32176, 32183, 32189, 32196, 32203, 32209, 32216, 32222, 32228,
|
||||
32235, 32241, 32247, 32254, 32260, 32266, 32272, 32278, 32284, 32290, 32296,
|
||||
32302, 32308, 32314, 32320, 32326, 32332, 32337, 32343, 32349, 32354, 32360,
|
||||
32365, 32371, 32376, 32382, 32387, 32393, 32398, 32403, 32408, 32414, 32419,
|
||||
32424, 32429, 32434, 32439, 32444, 32449, 32454, 32459, 32464, 32468, 32473,
|
||||
32478, 32483, 32487, 32492, 32496, 32501, 32505, 32510, 32514, 32519, 32523,
|
||||
32527, 32532, 32536, 32540, 32544, 32548, 32552, 32556, 32560, 32564, 32568,
|
||||
32572, 32576, 32580, 32584, 32587, 32591, 32595, 32598, 32602, 32605, 32609,
|
||||
32612, 32616, 32619, 32622, 32626, 32629, 32632, 32635, 32639, 32642, 32645,
|
||||
32648, 32651, 32654, 32657, 32660, 32662, 32665, 32668, 32671, 32673, 32676,
|
||||
32679, 32681, 32684, 32686, 32689, 32691, 32694, 32696, 32698, 32701, 32703,
|
||||
32705, 32707, 32709, 32711, 32713, 32715, 32717, 32719, 32721, 32723, 32725,
|
||||
32727, 32728, 32730, 32732, 32733, 32735, 32736, 32738, 32739, 32741, 32742,
|
||||
32744, 32745, 32746, 32747, 32749, 32750, 32751, 32752, 32753, 32754, 32755,
|
||||
32756, 32757, 32758, 32758, 32759, 32760, 32761, 32761, 32762, 32762, 32763,
|
||||
32763, 32764, 32764, 32765, 32765, 32765, 32766, 32766, 32766, 32766, 32766,
|
||||
32766, 32766, 32766, 32766, 32766, 32766, 32766, 32766, 32766, 32765, 32765,
|
||||
32765, 32764, 32764, 32763, 32763, 32762, 32762, 32761, 32761, 32760, 32759,
|
||||
32758, 32758, 32757, 32756, 32755, 32754, 32753, 32752, 32751, 32750, 32749,
|
||||
32747, 32746, 32745, 32744, 32742, 32741, 32739, 32738, 32736, 32735, 32733,
|
||||
32732, 32730, 32728, 32727, 32725, 32723, 32721, 32719, 32717, 32715, 32713,
|
||||
32711, 32709, 32707, 32705, 32703, 32701, 32698, 32696, 32694, 32691, 32689,
|
||||
32686, 32684, 32681, 32679, 32676, 32673, 32671, 32668, 32665, 32662, 32660,
|
||||
32657, 32654, 32651, 32648, 32645, 32642, 32639, 32635, 32632, 32629, 32626,
|
||||
32622, 32619, 32616, 32612, 32609, 32605, 32602, 32598, 32595, 32591, 32587,
|
||||
32584, 32580, 32576, 32572, 32568, 32564, 32560, 32556, 32552, 32548, 32544,
|
||||
32540, 32536, 32532, 32527, 32523, 32519, 32514, 32510, 32505, 32501, 32496,
|
||||
32492, 32487, 32483, 32478, 32473, 32468, 32464, 32459, 32454, 32449, 32444,
|
||||
32439, 32434, 32429, 32424, 32419, 32414, 32408, 32403, 32398, 32393, 32387,
|
||||
32382, 32376, 32371, 32365, 32360, 32354, 32349, 32343, 32337, 32332, 32326,
|
||||
32320, 32314, 32308, 32302, 32296, 32290, 32284, 32278, 32272, 32266, 32260,
|
||||
32254, 32247, 32241, 32235, 32228, 32222, 32216, 32209, 32203, 32196, 32189,
|
||||
32183, 32176, 32169, 32163, 32156, 32149, 32142, 32135, 32128, 32121, 32114,
|
||||
32107, 32100, 32093, 32086, 32079, 32072, 32064, 32057, 32050, 32042, 32035,
|
||||
32027, 32020, 32012, 32005, 31997, 31990, 31982, 31974, 31967, 31959, 31951,
|
||||
31943, 31935, 31927, 31919, 31911, 31903, 31895, 31887, 31879, 31871, 31863,
|
||||
31854, 31846, 31838, 31829, 31821, 31813, 31804, 31796, 31787, 31778, 31770,
|
||||
31761, 31752, 31744, 31735, 31726, 31717, 31709, 31700, 31691, 31682, 31673,
|
||||
31664, 31655, 31645, 31636, 31627, 31618, 31609, 31599, 31590, 31581, 31571,
|
||||
31562, 31552, 31543, 31533, 31524, 31514, 31504, 31495, 31485, 31475, 31465,
|
||||
31455, 31446, 31436, 31426, 31416, 31406, 31396, 31386, 31376, 31365, 31355,
|
||||
31345, 31335, 31324, 31314, 31304, 31293, 31283, 31272, 31262, 31251, 31241,
|
||||
31230, 31220, 31209, 31198, 31187, 31177, 31166, 31155, 31144, 31133, 31122,
|
||||
31111, 31100, 31089, 31078, 31067, 31056, 31044, 31033, 31022, 31011, 30999,
|
||||
30988, 30977, 30965, 30954, 30942, 30931, 30919, 30907, 30896, 30884, 30872,
|
||||
30861, 30849, 30837, 30825, 30813, 30801, 30789, 30777, 30765, 30753, 30741,
|
||||
30729, 30717, 30705, 30692, 30680, 30668, 30656, 30643, 30631, 30618, 30606,
|
||||
30593, 30581, 30568, 30556, 30543, 30531, 30518, 30505, 30492, 30480, 30467,
|
||||
30454, 30441, 30428, 30415, 30402, 30389, 30376, 30363, 30350, 30337, 30323,
|
||||
30310, 30297, 30284, 30270, 30257, 30244, 30230, 30217, 30203, 30190, 30176,
|
||||
30163, 30149, 30135, 30122, 30108, 30094, 30080, 30067, 30053, 30039, 30025,
|
||||
30011, 29997, 29983, 29969, 29955, 29941, 29927, 29913, 29898, 29884, 29870,
|
||||
29856, 29841, 29827, 29813, 29798, 29784, 29769, 29755, 29740, 29726, 29711,
|
||||
29696, 29682, 29667, 29652, 29638, 29623, 29608, 29593, 29578, 29563, 29548,
|
||||
29533, 29518, 29503, 29488, 29473, 29458, 29443, 29428, 29412, 29397, 29382,
|
||||
29367, 29351, 29336, 29320, 29305, 29290, 29274, 29258, 29243, 29227, 29212,
|
||||
29196, 29180, 29165, 29149, 29133, 29117, 29102, 29086, 29070, 29054, 29038,
|
||||
29022, 29006, 28990, 28974, 28958, 28942, 28925, 28909, 28893, 28877, 28860,
|
||||
28844, 28828, 28811, 28795, 28779, 28762, 28746, 28729, 28713, 28696, 28680,
|
||||
28663, 28646, 28630, 28613, 28596, 28579, 28563, 28546, 28529, 28512, 28495,
|
||||
28478, 28461, 28444, 28427, 28410, 28393, 28376, 28359, 28342, 28324, 28307,
|
||||
28290, 28273, 28255, 28238, 28221, 28203, 28186, 28168, 28151, 28133, 28116,
|
||||
28098, 28081, 28063, 28045, 28028, 28010, 27992, 27975, 27957, 27939, 27921,
|
||||
27903, 27885, 27867, 27850, 27832, 27814, 27796, 27777, 27759, 27741, 27723,
|
||||
27705, 27687, 27669, 27650, 27632, 27614, 27596, 27577, 27559, 27540, 27522,
|
||||
27504, 27485, 27467, 27448, 27430, 27411, 27392, 27374, 27355, 27336, 27318,
|
||||
27299, 27280, 27261, 27243, 27224, 27205, 27186, 27167, 27148, 27129, 27110,
|
||||
27091, 27072, 27053, 27034, 27015, 26996, 26977, 26957, 26938, 26919, 26900,
|
||||
26880, 26861, 26842, 26822, 26803, 26784, 26764, 26745, 26725, 26706, 26686,
|
||||
26667, 26647, 26627, 26608, 26588, 26568, 26549, 26529, 26509, 26489, 26470,
|
||||
26450, 26430, 26410, 26390, 26370, 26350, 26330, 26310, 26290, 26270, 26250,
|
||||
26230, 26210, 26190, 26170, 26150, 26130, 26109, 26089, 26069, 26049, 26028,
|
||||
26008, 25988, 25967, 25947, 25926, 25906, 25885, 25865, 25844, 25824, 25803,
|
||||
25783, 25762, 25742, 25721, 25700, 25680, 25659, 25638, 25617, 25597, 25576,
|
||||
25555, 25534, 25513, 25492, 25471, 25451, 25430, 25409, 25388, 25367, 25346,
|
||||
25325, 25303, 25282, 25261, 25240, 25219, 25198, 25177, 25155, 25134, 25113,
|
||||
25092, 25070, 25049, 25028, 25006, 24985, 24963, 24942, 24921, 24899, 24878,
|
||||
24856, 24835, 24813, 24791, 24770, 24748, 24727, 24705, 24683, 24662, 24640,
|
||||
24618, 24597, 24575, 24553, 24531, 24509, 24488, 24466, 24444, 24422, 24400,
|
||||
24378, 24356, 24334, 24312, 24290, 24268, 24246, 24224, 24202, 24180, 24158,
|
||||
24136, 24113, 24091, 24069, 24047, 24025, 24002, 23980, 23958, 23936, 23913,
|
||||
23891, 23869, 23846, 23824, 23801, 23779, 23756, 23734, 23712, 23689, 23667,
|
||||
23644, 23621, 23599, 23576, 23554, 23531, 23509, 23486, 23463, 23441, 23418,
|
||||
23395, 23372, 23350, 23327, 23304, 23281, 23259, 23236, 23213, 23190, 23167,
|
||||
23144, 23121, 23098, 23075, 23053, 23030, 23007, 22984, 22961, 22938, 22914,
|
||||
22891, 22868, 22845, 22822, 22799, 22776, 22753, 22730, 22706, 22683, 22660,
|
||||
22637, 22613, 22590, 22567, 22544, 22520, 22497, 22474, 22450, 22427, 22404,
|
||||
22380, 22357, 22333, 22310, 22287, 22263, 22240, 22216, 22193, 22169, 22146,
|
||||
22122, 22099, 22075, 22051, 22028, 22004, 21981, 21957, 21933, 21910, 21886,
|
||||
21862, 21839, 21815, 21791, 21767, 21744, 21720, 21696, 21672, 21649, 21625,
|
||||
21601, 21577, 21553, 21529, 21506, 21482, 21458, 21434, 21410, 21386, 21362,
|
||||
21338, 21314, 21290, 21266, 21242, 21218, 21194, 21170, 21146, 21122, 21098,
|
||||
21074, 21050, 21026, 21002, 20977, 20953, 20929, 20905, 20881, 20857, 20832,
|
||||
20808, 20784, 20760, 20736, 20711, 20687, 20663, 20639, 20614, 20590, 20566,
|
||||
20541, 20517, 20493, 20468, 20444, 20420, 20395, 20371, 20347, 20322, 20298,
|
||||
20273, 20249, 20224, 20200, 20176, 20151, 20127, 20102, 20078, 20053, 20029,
|
||||
20004, 19980, 19955, 19931, 19906, 19881, 19857, 19832, 19808, 19783, 19759,
|
||||
19734, 19709, 19685, 19660, 19635, 19611, 19586, 19562, 19537, 19512, 19488,
|
||||
19463, 19438, 19413, 19389, 19364, 19339, 19315, 19290, 19265, 19240, 19216,
|
||||
19191, 19166, 19141, 19116, 19092, 19067, 19042, 19017, 18992, 18968, 18943,
|
||||
18918, 18893, 18868, 18843, 18819, 18794, 18769, 18744, 18719, 18694, 18669,
|
||||
18644, 18620, 18595, 18570, 18545, 18520, 18495, 18470, 18445, 18420, 18395,
|
||||
18370, 18345, 18320, 18295, 18270, 18245, 18220, 18196, 18171, 18146, 18121,
|
||||
18096, 18071, 18046, 18021, 17996, 17970, 17945, 17920, 17895, 17870, 17845,
|
||||
17820, 17795, 17770, 17745, 17720, 17695, 17670, 17645, 17620, 17595, 17570,
|
||||
17545, 17520, 17495, 17469, 17444, 17419, 17394, 17369, 17344, 17319, 17294,
|
||||
17269, 17244, 17218, 17193, 17168, 17143, 17118, 17093, 17068, 17043, 17018,
|
||||
16992, 16967, 16942, 16917, 16892, 16867, 16842, 16817, 16791, 16766, 16741,
|
||||
16716, 16691, 16666, 16641, 16616, 16590, 16565, 16540, 16515, 16490, 16465,
|
||||
16440, 16414, 16389, 16364, 16339, 16314, 16289, 16264, 16238, 16213, 16188,
|
||||
16163, 16138, 16113, 16088, 16063, 16037, 16012, 15987, 15962, 15937, 15912,
|
||||
15887, 15861, 15836, 15811, 15786, 15761, 15736, 15711, 15686, 15661, 15635,
|
||||
15610, 15585, 15560, 15535, 15510, 15485, 15460, 15435, 15409, 15384, 15359,
|
||||
15334, 15309, 15284, 15259, 15234, 15209, 15184, 15159, 15134, 15109, 15083,
|
||||
15058, 15033, 15008, 14983, 14958, 14933, 14908, 14883, 14858, 14833, 14808,
|
||||
14783, 14758, 14733, 14708, 14683, 14658, 14633, 14608, 14583, 14558, 14533,
|
||||
14508, 14483, 14458, 14433, 14408, 14383, 14358, 14333, 14308, 14283, 14259,
|
||||
14234, 14209, 14184, 14159, 14134, 14109, 14084, 14059, 14034, 14010, 13985,
|
||||
13960, 13935, 13910, 13885, 13860, 13836, 13811, 13786, 13761, 13736, 13711,
|
||||
13687, 13662, 13637, 13612, 13588, 13563, 13538, 13513, 13489, 13464, 13439,
|
||||
13414, 13390, 13365, 13340, 13316, 13291, 13266, 13241, 13217, 13192, 13167,
|
||||
13143, 13118, 13094, 13069, 13044, 13020, 12995, 12971, 12946, 12921, 12897,
|
||||
12872, 12848, 12823, 12799, 12774, 12750, 12725, 12701, 12676, 12652, 12627,
|
||||
12603, 12578, 12554, 12529, 12505, 12480, 12456, 12432, 12407, 12383, 12359,
|
||||
12334, 12310, 12285, 12261, 12237, 12212, 12188, 12164, 12140, 12115, 12091,
|
||||
12067, 12043, 12018, 11994, 11970, 11946, 11921, 11897, 11873, 11849, 11825,
|
||||
11801, 11777, 11752, 11728, 11704, 11680, 11656, 11632, 11608, 11584, 11560,
|
||||
11536, 11512, 11488, 11464, 11440, 11416, 11392, 11368, 11344, 11320, 11296,
|
||||
11272, 11249, 11225, 11201, 11177, 11153, 11129, 11106, 11082, 11058, 11034,
|
||||
11010, 10987, 10963, 10939, 10916, 10892, 10868, 10845, 10821, 10797, 10774,
|
||||
10750, 10726, 10703, 10679, 10656, 10632, 10609, 10585, 10562, 10538, 10515,
|
||||
10491, 10468, 10444, 10421, 10397, 10374, 10351, 10327, 10304, 10281, 10257,
|
||||
10234, 10211, 10187, 10164, 10141, 10118, 10094, 10071, 10048, 10025, 10002,
|
||||
9979, 9955, 9932, 9909, 9886, 9863, 9840, 9817, 9794, 9771, 9748,
|
||||
9725, 9702, 9679, 9656, 9633, 9610, 9587, 9565, 9542, 9519, 9496,
|
||||
9473, 9450, 9428, 9405, 9382, 9360, 9337, 9314, 9291, 9269, 9246,
|
||||
9224, 9201, 9178, 9156, 9133, 9111, 9088, 9066, 9043, 9021, 8998,
|
||||
8976, 8953, 8931, 8909, 8886, 8864, 8842, 8819, 8797, 8775, 8753,
|
||||
8730, 8708, 8686, 8664, 8642, 8619, 8597, 8575, 8553, 8531, 8509,
|
||||
8487, 8465, 8443, 8421, 8399, 8377, 8355, 8333, 8311, 8289, 8268,
|
||||
8246, 8224, 8202, 8180, 8159, 8137, 8115, 8093, 8072, 8050, 8029,
|
||||
8007, 7985, 7964, 7942, 7921, 7899, 7878, 7856, 7835, 7813, 7792,
|
||||
7770, 7749, 7728, 7706, 7685, 7664, 7643, 7621, 7600, 7579, 7558,
|
||||
7536, 7515, 7494, 7473, 7452, 7431, 7410, 7389, 7368, 7347, 7326,
|
||||
7305, 7284, 7263, 7242, 7221, 7201, 7180, 7159, 7138, 7118, 7097,
|
||||
7076, 7055, 7035, 7014, 6994, 6973, 6952, 6932, 6911, 6891, 6870,
|
||||
6850, 6829, 6809, 6789, 6768, 6748, 6728, 6707, 6687, 6667, 6647,
|
||||
6626, 6606, 6586, 6566, 6546, 6526, 6506, 6486, 6466, 6446, 6426,
|
||||
6406, 6386, 6366, 6346, 6326, 6306, 6286, 6267, 6247, 6227, 6207,
|
||||
6188, 6168, 6148, 6129, 6109, 6090, 6070, 6051, 6031, 6012, 5992,
|
||||
5973, 5953, 5934, 5915, 5895, 5876, 5857, 5837, 5818, 5799, 5780,
|
||||
5761, 5742, 5722, 5703, 5684, 5665, 5646, 5627, 5608, 5589, 5571,
|
||||
5552, 5533, 5514, 5495, 5476, 5458, 5439, 5420, 5402, 5383, 5364,
|
||||
5346, 5327, 5309, 5290, 5272, 5253, 5235, 5216, 5198, 5180, 5161,
|
||||
5143, 5125, 5106, 5088, 5070, 5052, 5034, 5016, 4998, 4979, 4961,
|
||||
4943, 4925, 4907, 4890, 4872, 4854, 4836, 4818, 4800, 4783, 4765,
|
||||
4747, 4729, 4712, 4694, 4677, 4659, 4641, 4624, 4606, 4589, 4572,
|
||||
4554, 4537, 4519, 4502, 4485, 4468, 4450, 4433, 4416, 4399, 4382,
|
||||
4364, 4347, 4330, 4313, 4296, 4279, 4263, 4246, 4229, 4212, 4195,
|
||||
4178, 4162, 4145, 4128, 4111, 4095, 4078, 4062, 4045, 4029, 4012,
|
||||
3996, 3979, 3963, 3946, 3930, 3914, 3897, 3881, 3865, 3849, 3833,
|
||||
3816, 3800, 3784, 3768, 3752, 3736, 3720, 3704, 3688, 3672, 3657,
|
||||
3641, 3625, 3609, 3593, 3578, 3562, 3546, 3531, 3515, 3500, 3484,
|
||||
3469, 3453, 3438, 3422, 3407, 3392, 3376, 3361, 3346, 3331, 3316,
|
||||
3300, 3285, 3270, 3255, 3240, 3225, 3210, 3195, 3180, 3166, 3151,
|
||||
3136, 3121, 3106, 3092, 3077, 3062, 3048, 3033, 3019, 3004, 2990,
|
||||
2975, 2961, 2946, 2932, 2918, 2903, 2889, 2875, 2860, 2846, 2832,
|
||||
2818, 2804, 2790, 2776, 2762, 2748, 2734, 2720, 2706, 2692, 2679,
|
||||
2665, 2651, 2638, 2624, 2610, 2597, 2583, 2570, 2556, 2543, 2529,
|
||||
2516, 2502, 2489, 2476, 2462, 2449, 2436, 2423, 2410, 2397, 2383,
|
||||
2370, 2357, 2344, 2332, 2319, 2306, 2293, 2280, 2267, 2255, 2242,
|
||||
2229, 2217, 2204, 2191, 2179, 2166, 2154, 2141, 2129, 2117, 2104,
|
||||
2092, 2080, 2067, 2055, 2043, 2031, 2019, 2007, 1995, 1983, 1971,
|
||||
1959, 1947, 1935, 1923, 1911, 1900, 1888, 1876, 1864, 1853, 1841,
|
||||
1830, 1818, 1807, 1795, 1784, 1772, 1761, 1750, 1738, 1727, 1716,
|
||||
1705, 1694, 1682, 1671, 1660, 1649, 1638, 1627, 1617, 1606, 1595,
|
||||
1584, 1573, 1563, 1552, 1541, 1531, 1520, 1509, 1499, 1488, 1478,
|
||||
1467, 1457, 1447, 1436, 1426, 1416, 1406, 1396, 1385, 1375, 1365,
|
||||
1355, 1345, 1335, 1325, 1315, 1306, 1296, 1286, 1276, 1267, 1257,
|
||||
1247, 1238, 1228, 1219, 1209, 1200, 1190, 1181, 1171, 1162, 1153,
|
||||
1144, 1134, 1125, 1116, 1107, 1098, 1089, 1080, 1071, 1062, 1053,
|
||||
1044, 1035, 1027, 1018, 1009, 1000, 992, 983, 975, 966, 958,
|
||||
949, 941, 932, 924, 916, 908, 899, 891, 883, 875, 867,
|
||||
859, 851, 843, 835, 827, 819, 811, 803, 796, 788, 780,
|
||||
772, 765, 757, 750, 742, 735, 727, 720, 713, 705, 698,
|
||||
691, 684, 676, 669, 662, 655, 648, 641, 634, 627, 620,
|
||||
614, 607, 600, 593, 587, 580, 573, 567, 560, 554, 547,
|
||||
541, 534, 528, 522, 515, 509, 503, 497, 491, 485, 479,
|
||||
473, 467, 461, 455, 449, 443, 437, 432, 426, 420, 414,
|
||||
409, 403, 398, 392, 387, 381, 376, 371, 365, 360, 355,
|
||||
350, 345, 339, 334, 329, 324, 319, 314, 310, 305, 300,
|
||||
295, 290, 286, 281, 276, 272, 267, 263, 258, 254, 249,
|
||||
245, 241, 237, 232, 228, 224, 220, 216, 212, 208, 204,
|
||||
200, 196, 192, 188, 184, 181, 177, 173, 170, 166, 162,
|
||||
159, 155, 152, 149, 145, 142, 139, 135, 132, 129, 126,
|
||||
123, 120, 117, 114, 111, 108, 105, 102, 99, 97, 94,
|
||||
91, 89, 86, 83, 81, 78, 76, 74, 71, 69, 67,
|
||||
64, 62, 60, 58, 56, 54, 52, 50, 48, 46, 44,
|
||||
42, 40, 39, 37, 35, 34, 32, 30, 29, 27, 26,
|
||||
24, 23, 22, 20, 19, 18, 17, 16, 15, 14, 13,
|
||||
12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 4,
|
||||
3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0,
|
||||
0, 0, 0, 0,
|
||||
};
|
||||
@@ -0,0 +1,10 @@
|
||||
name=Adafruit Zero FFT Library
|
||||
version=1.0.6
|
||||
author=Adafruit
|
||||
maintainer=Adafruit <info@adafruit.com>
|
||||
sentence=FFT library for Arduino Zero / Adafruit Feather M0 (SAMD21 processor).
|
||||
paragraph=FFT library for the Arduino Zero / Adafruit Feather M0 (SAMD21 processor).
|
||||
category=Signal Input/Output
|
||||
url=https://github.com/adafruit/Adafruit_ZeroFFT
|
||||
architectures=*
|
||||
depends=Adafruit ILI9341, Adafruit Zero PDM Library, Adafruit Circuit Playground
|
||||
@@ -0,0 +1,25 @@
|
||||
Copyright (C) 2009-2015 ARM Limited.
|
||||
All rights reserved.
|
||||
|
||||
Redistribution and use in source and binary forms, with or without
|
||||
modification, are permitted provided that the following conditions are met:
|
||||
- Redistributions of source code must retain the above copyright
|
||||
notice, this list of conditions and the following disclaimer.
|
||||
- Redistributions in binary form must reproduce the above copyright
|
||||
notice, this list of conditions and the following disclaimer in the
|
||||
documentation and/or other materials provided with the distribution.
|
||||
- Neither the name of ARM nor the names of its contributors may be used
|
||||
to endorse or promote products derived from this software without
|
||||
specific prior written permission.
|
||||
|
||||
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
|
||||
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
||||
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
||||
ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
|
||||
LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
||||
CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
||||
SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
||||
INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
||||
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
||||
ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
||||
POSSIBILITY OF SUCH DAMAGE.
|
||||
Reference in New Issue
Block a user