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/**
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****************************************************************************** |
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* @file AudioFilterConvolution_F32.cpp |
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* @author Giuseppe Callipo - IK8YFW - ik8yfw@libero.it |
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* @version V1.0.0 |
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* @date 02-05-2021 |
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* @brief F32 Filter Convolution |
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* |
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****************************************************************************** |
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****************************************************************************** |
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This software is based on the AudioFilterConvolution routine |
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Written by Brian Millier on Mar 2017 |
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|
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https://circuitcellar.com/research-design-hub/fancy-filtering-with-the-teensy-3-6/
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and modified by Giuseppe Callipo - ik8yfw. |
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Modifications: |
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1) Class refactoring, change some methods visibility; |
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2) Filter coefficients calculation included into class; |
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3) Change the class for running in both with F32 |
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OpenAudio_ArduinoLibrary for Teensy; |
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4) Added initFilter method for single anf fast initialization and on |
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the fly reinititializzation; |
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5) Optimize it to use as output audio filter on SDR receiver. |
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*******************************************************************/ |
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#include "AudioFilterConvolution_F32.h" |
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boolean AudioFilterConvolution_F32::begin(int status) |
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{ |
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enabled = status; |
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return(true); |
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} |
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void AudioFilterConvolution_F32::passThrough(int stat) |
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{ |
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passThru=stat; |
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} |
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void AudioFilterConvolution_F32::impulse(float32_t *FIR_coef) { |
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// arm_q15_to_float(coefs, FIR_coef, 513); // convert int_buffer to float 32bit
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int k = 0; |
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int i = 0; |
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enabled = 0; // shut off audio stream while impulse is loading
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for (i = 0; i < (FFT_length / 2) + 1; i++) |
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{ |
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FIR_filter_mask[k++] = FIR_coef[i]; |
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FIR_filter_mask[k++] = 0; |
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} |
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for (i = FFT_length + 1; i < FFT_length * 2; i++) |
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{ |
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FIR_filter_mask[i] = 0.0; |
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} |
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arm_cfft_f32( &arm_cfft_sR_f32_len1024, FIR_filter_mask, 0, 1); |
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for (int i = 0; i < 1024; i++) { |
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// Serial.println(FIR_filter_mask[i] * 32768);
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} |
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// for 1st time thru, zero out the last sample buffer to 0
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memset(last_sample_buffer_L, 0, sizeof(last_sample_buffer_L)); |
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state = 0; |
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enabled = 1; //enable audio stream again
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} |
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void AudioFilterConvolution_F32::update(void) |
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{ |
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audio_block_f32_t *block; |
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float32_t *bp; |
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if (enabled != 1 ) return; |
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block = receiveWritable_f32(0); // MUST be Writable, as convolution results are written into block
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if (block) { |
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switch (state) { |
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case 0: |
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bp = block->data; |
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for (int i = 0; i < AUDIO_BLOCK_SAMPLES; i++) { |
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buffer[i] = *bp++; |
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} |
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bp = block->data; |
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for (int i = 0; i < AUDIO_BLOCK_SAMPLES; i++) { |
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*bp++ = tbuffer[i]; // tbuffer contains results of last FFT/multiply/iFFT processing (convolution filtering)
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} |
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AudioStream_F32::transmit(block); |
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AudioStream_F32::release(block); |
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state = 1; |
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break; |
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case 1: |
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bp = block->data; |
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for (int i = 0; i < AUDIO_BLOCK_SAMPLES; i++) { |
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buffer[128+i] = *bp++; |
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} |
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bp = block->data; |
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for (int i = 0; i < AUDIO_BLOCK_SAMPLES; i++) { |
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*bp++ = tbuffer[i+128]; // tbuffer contains results of last FFT/multiply/iFFT processing (convolution filtering)
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} |
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AudioStream_F32::transmit(block); |
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AudioStream_F32::release(block); |
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state = 2; |
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break; |
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case 2: |
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bp = block->data; |
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for (int i = 0; i < AUDIO_BLOCK_SAMPLES; i++) { |
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buffer[256 + i] = *bp++; |
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} |
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bp = block->data; |
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for (int i = 0; i < AUDIO_BLOCK_SAMPLES; i++) { |
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*bp++ = tbuffer[i+256]; // tbuffer contains results of last FFT/multiply/iFFT processing (convolution filtering)
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} |
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AudioStream_F32::transmit(block); |
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AudioStream_F32::release(block); |
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state = 3; |
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break; |
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case 3: |
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bp = block->data; |
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for (int i = 0; i < AUDIO_BLOCK_SAMPLES; i++) { |
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buffer[384 + i] = *bp++; |
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} |
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bp = block->data; |
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for (int i = 0; i < AUDIO_BLOCK_SAMPLES; i++) { |
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*bp++ = tbuffer[i + 384]; // tbuffer contains results of last FFT/multiply/iFFT processing (convolution filtering)
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} |
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AudioStream_F32::transmit(block); |
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AudioStream_F32::release(block); |
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state = 0; |
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// 4 blocks are in- now do the FFT1024,complex multiply and iFFT1024 on 512samples of data
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// using the overlap/add method
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// 1st convert Q15 samples to float
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//arm_q15_to_float(buffer, float_buffer_L, 512);
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arm_copy_f32 (buffer, float_buffer_L, 512); |
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// float_buffer samples are now standardized from > -1.0 to < 1.0
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if (passThru ==0) { |
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memset(FFT_buffer + 1024, 0, sizeof(FFT_buffer) / 2); // zero pad last half of array- necessary to prevent aliasing in FFT
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//fill FFT_buffer with current audio samples
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k = 0; |
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for (i = 0; i < 512; i++) |
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{ |
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FFT_buffer[k++] = float_buffer_L[i]; // real
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FFT_buffer[k++] = float_buffer_L[i]; // imag
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} |
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// calculations are performed in-place in FFT routines
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arm_cfft_f32(&arm_cfft_sR_f32_len1024, FFT_buffer, 0, 1);// perform complex FFT
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arm_cmplx_mult_cmplx_f32(FFT_buffer, FIR_filter_mask, iFFT_buffer, FFT_length); // complex multiplication in Freq domain = convolution in time domain
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arm_cfft_f32(&arm_cfft_sR_f32_len1024, iFFT_buffer, 1, 1); // perform complex inverse FFT
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k = 0; |
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l = 1024; |
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for (int i = 0; i < 512; i++) { |
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float_buffer_L[i] = last_sample_buffer_L[i] + iFFT_buffer[k++]; // this performs the "ADD" in overlap/Add
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last_sample_buffer_L[i] = iFFT_buffer[l++]; // this saves 512 samples (overlap) for next time around
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k++; |
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l++; |
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} |
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} //end if passTHru
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// convert floats to Q15 and save in temporary array tbuffer
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//arm_float_to_q15(&float_buffer_L[0], &tbuffer[0], BUFFER_SIZE*4);
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arm_copy_f32 (&float_buffer_L[0], &tbuffer[0], BUFFER_SIZE*4); |
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break; |
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} |
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} |
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} |
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float32_t AudioFilterConvolution_F32::Izero (float32_t x) |
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{ |
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float32_t x2 = x / 2.0; |
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float32_t summe = 1.0; |
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float32_t ds = 1.0; |
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float32_t di = 1.0; |
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float32_t errorlimit = 1e-9; |
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float32_t tmp; |
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do |
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{ |
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tmp = x2 / di; |
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tmp *= tmp; |
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ds *= tmp; |
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summe += ds; |
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di += 1.0; |
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} while (ds >= errorlimit * summe); |
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return (summe); |
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} // END Izero
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float AudioFilterConvolution_F32::m_sinc(int m, float fc) |
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{ // fc is f_cut/(Fsamp/2)
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// m is between -M and M step 2
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//
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float x = m*PIH; |
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if(m == 0) |
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return 1.0f; |
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else |
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return sinf(x*fc)/(fc*x); |
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} |
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void AudioFilterConvolution_F32::calc_FIR_coeffs (float * coeffs, int numCoeffs, float32_t fc, float32_t Astop, int type, float dfc, float Fsamprate) |
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// pointer to coefficients variable, no. of coefficients to calculate, frequency where it happens, stopband attenuation in dB,
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// filter type, half-filter bandwidth (only for bandpass and notch)
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{ // modified by WMXZ and DD4WH after
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// Wheatley, M. (2011): CuteSDR Technical Manual. www.metronix.com, pages 118 - 120, FIR with Kaiser-Bessel Window
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// assess required number of coefficients by
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// numCoeffs = (Astop - 8.0) / (2.285 * TPI * normFtrans);
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// selecting high-pass, numCoeffs is forced to an even number for better frequency response
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int ii,jj; |
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float32_t Beta; |
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float32_t izb; |
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float fcf = fc; |
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int nc = numCoeffs; |
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fc = fc / Fsamprate; |
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dfc = dfc / Fsamprate; |
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// calculate Kaiser-Bessel window shape factor beta from stop-band attenuation
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if (Astop < 20.96) |
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Beta = 0.0; |
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else if (Astop >= 50.0) |
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Beta = 0.1102 * (Astop - 8.71); |
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else |
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Beta = 0.5842 * powf((Astop - 20.96), 0.4) + 0.07886 * (Astop - 20.96); |
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izb = Izero (Beta); |
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if(type == 0) // low pass filter
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// { fcf = fc;
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{ fcf = fc * 2.0; |
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nc = numCoeffs; |
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} |
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else if(type == 1) // high-pass filter
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{ fcf = -fc; |
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nc = 2*(numCoeffs/2); |
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} |
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else if ((type == 2) || (type==3)) // band-pass filter
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{ |
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fcf = dfc; |
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nc = 2*(numCoeffs/2); // maybe not needed
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} |
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else if (type==4) // Hilbert transform
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{ |
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nc = 2*(numCoeffs/2); |
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// clear coefficients
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for(ii=0; ii< 2*(nc-1); ii++) coeffs[ii]=0; |
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// set real delay
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coeffs[nc]=1; |
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// set imaginary Hilbert coefficients
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for(ii=1; ii< (nc+1); ii+=2) |
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{ |
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if(2*ii==nc) continue; |
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float x =(float)(2*ii - nc)/(float)nc; |
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float w = Izero(Beta*sqrtf(1.0f - x*x))/izb; // Kaiser window
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coeffs[2*ii+1] = 1.0f/(PIH*(float)(ii-nc/2)) * w ; |
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} |
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return; |
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} |
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for(ii= - nc, jj=0; ii< nc; ii+=2,jj++) |
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{ |
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float x =(float)ii/(float)nc; |
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float w = Izero(Beta*sqrtf(1.0f - x*x))/izb; // Kaiser window
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coeffs[jj] = fcf * m_sinc(ii,fcf) * w; |
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} |
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if(type==1) |
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{ |
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coeffs[nc/2] += 1; |
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} |
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else if (type==2) |
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{ |
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for(jj=0; jj< nc+1; jj++) coeffs[jj] *= 2.0f*cosf(PIH*(2*jj-nc)*fc); |
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} |
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else if (type==3) |
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{ |
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for(jj=0; jj< nc+1; jj++) coeffs[jj] *= -2.0f*cosf(PIH*(2*jj-nc)*fc); |
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coeffs[nc/2] += 1; |
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} |
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} // END calc_FIR_coef
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void AudioFilterConvolution_F32::initFilter ( float32_t fc, float32_t Astop, int type, float dfc){ |
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//Init Fir
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calc_FIR_coeffs (FIR_Coef, MAX_NUMCOEF, fc, Astop, type, dfc, fs); |
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begin(0); // set to zero to disable audio processing until impulse has been loaded
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impulse(FIR_Coef); // generates Filter Mask and enables the audio stream
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} |
@ -0,0 +1,131 @@ |
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/**
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****************************************************************************** |
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* @file AudioFilterConvolution_F32.h |
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* @author Giuseppe Callipo - IK8YFW - ik8yfw@libero.it |
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* @version V1.0.0 |
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* @date 02-05-2021 |
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* @brief F32 Filter Convolution |
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* |
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****************************************************************************** |
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****************************************************************************** |
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This software is based on the AudioFilterConvolution routine |
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Written by Brian Millier on Mar 2017 |
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https://circuitcellar.com/research-design-hub/fancy-filtering-with-the-teensy-3-6/
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and modified by Giuseppe Callipo - ik8yfw. |
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Modifications: |
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1) Class refactoring, change some methods visibility; |
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2) Filter coefficients calculation included into class; |
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3) Change the class for running in both with F32 |
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OpenAudio_ArduinoLibrary for Teensy; |
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4) Added initFilter method for single anf fast initialization and on |
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the fly re-inititialization; |
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5) Optimize it to use as output audio filter on SDR receiver. |
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Brought to the Teensy F32 OpenAudio_ArduinoLibrary 2 Feb 2022, Bob Larkin |
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******************************************************************************/ |
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/*Notes from Giuseppe Callipo, IK8YFW:
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*** How to use it. *** |
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Create an audio project based on chipaudette/OpenAudio_ArduinoLibrary |
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like the Keiths SDR Project, and just add the h and cpp file to your |
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processing chain as unique output filter: |
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************************************************************ |
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1) Include the header |
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#include "AudioFilterConvolution_F32.h" (or OpenAudio_ArduinoLibrary.h) |
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2) Initialize as F32 block |
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(the block must be 128 but the sample rate can be changed but must initialized) |
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const float sample_rate_Hz = 96000.0f; // or 44100.0f or other
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const int audio_block_samples = 128; |
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AudioSettings_F32 audio_settings(sample_rate_Hz, audio_block_samples); |
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AudioFilterConvolution_F32 FilterConv(audio_settings); |
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3) Connect before output |
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AudioConnection_F32 patchCord1(FilterConv,0,Output_i2s,0); |
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AudioConnection_F32 patchCord2(FilterConv,0,Output_i2s,1); |
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4) Set the filter value when you need - some examples: |
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// CW - Centered at 800Hz, ( 40 db x oct ), 2=BPF, width = 1200Hz
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FilterConv.initFilter((float32_t)800, 40, 2, 1200.0); |
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// SSB - Centered at 1500Hz, ( 60 db x oct ), 2=BPF, width = 3000Hz
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FilterConv.initFilter((float32_t)1500, 60, 2, 3000.0); |
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************************************************************** */ |
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/* Additional Notes from Bob
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* Measured 128 word update in update() is 248 microseconds (T4.x) |
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* Comparison with a conventional FIR, from this library, the |
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* AudioFilterFIRGeneral_F32 showed that a 512 tap FIR gave |
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* essentially the same response and was slightly faster at |
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* 225 microseconds per update. Also, note that this form of |
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* computation uses about 78 kB of memory where the direct FIR |
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* uses about 15 kB. The responses differ in only minor ways. |
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* ************************************************************ */ |
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#ifndef AudioFilterConvolution_F32_h_ |
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#define AudioFilterConvolution_F32_h_ |
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#include <AudioStream_F32.h> |
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#include <arm_math.h> |
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#include <arm_const_structs.h> |
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#define MAX_NUMCOEF 513 |
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#define TPI 6.28318530717959f |
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#define PIH 1.57079632679490f |
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#define FOURPI 2.0 * TPI |
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#define SIXPI 3.0 * TPI |
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class AudioFilterConvolution_F32 : |
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public AudioStream_F32 |
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{ |
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public: |
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AudioFilterConvolution_F32(void) : AudioStream_F32(1, inputQueueArray_f32) { |
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fs = AUDIO_SAMPLE_RATE; |
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//block_size = AUDIO_BLOCK_SAMPLES;
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}; |
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AudioFilterConvolution_F32(const AudioSettings_F32 &settings) : AudioStream_F32(1, inputQueueArray_f32) { |
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// Performs the first initialize
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fs = settings.sample_rate_Hz; |
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}; |
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boolean begin(int status); |
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virtual void update(void); |
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void passThrough(int stat); |
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void initFilter (float32_t fc, float32_t Astop, int type, float dfc); |
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private: |
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#define BUFFER_SIZE 128 |
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float32_t fs; |
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audio_block_f32_t *inputQueueArray_f32[1]; |
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float32_t *sp_L; |
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volatile uint8_t state; |
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int i; |
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int k; |
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int l; |
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int passThru; |
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int enabled; |
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float32_t FIR_Coef[MAX_NUMCOEF]; |
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const uint32_t FFT_length = 1024; |
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float32_t FIR_coef[2048] __attribute__((aligned(4))); |
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float32_t FIR_filter_mask[2048] __attribute__((aligned(4))); |
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float32_t buffer[2048] __attribute__((aligned(4))); |
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float32_t tbuffer[2048]__attribute__((aligned(4))); |
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float32_t FFT_buffer[2048] __attribute__((aligned(4))); |
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float32_t iFFT_buffer[2048] __attribute__((aligned(4))); |
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float32_t float_buffer_L[512]__attribute__((aligned(4))); |
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float32_t last_sample_buffer_L[512]; |
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void impulse(float32_t *coefs); |
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float32_t Izero (float32_t x); |
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float m_sinc(int m, float fc); |
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void calc_FIR_coeffs (float * coeffs, int numCoeffs, float32_t fc, float32_t Astop, int type, float dfc, float Fsamprate); |
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}; |
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#endif |
@ -0,0 +1,78 @@ |
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/*
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* TestConvolutionalFilter.ino Bob Larkin 2 Feb 2022 |
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* Measure frequency response of LPF. |
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* |
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* This uses the Goertzel algoritm of AudioAnalyzeToneDetect_F32 as |
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* a "direct conversion receiver." This provides the excellent |
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* selectivity needed for measuring below -100 dBfs. |
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* |
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* Public Domain - Teensy |
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*/ |
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#include "Audio.h" |
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#include "OpenAudio_ArduinoLibrary.h" |
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#include "AudioStream_F32.h" |
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AudioSynthSineCosine_F32 sine_cos1; //xy=87,151
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AudioFilterConvolution_F32 convolution1; //xy=163,245
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AudioFilterFIRGeneral_F32 filterFIRgeneral1; //xy=285,177
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AudioOutputI2S_F32 audioOutI2S1; //xy=357,337
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AudioAnalyzeToneDetect_F32 toneDet1; //xy=377,259
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AudioAnalyzeToneDetect_F32 toneDet2; //xy=378,299
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AudioConnection_F32 patchCord1(sine_cos1, 0, filterFIRgeneral1, 0); |
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AudioConnection_F32 patchCord2(sine_cos1, 1, convolution1, 0); |
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AudioConnection_F32 patchCord3(convolution1, toneDet2); |
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AudioConnection_F32 patchCord4(convolution1, 0, audioOutI2S1, 0); |
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AudioConnection_F32 patchCord5(filterFIRgeneral1, 0, toneDet1, 0); |
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AudioControlSGTL5000 sgtl5000_1; //xy=164,343
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float32_t saveDat[512]; |
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float32_t coeffFIR[512]; |
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float32_t stateFIR[1160]; |
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float32_t attenFIR[256]; |
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float32_t rdb[1000]; |
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void setup(void) { |
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AudioMemory(5); |
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AudioMemory_F32(50); |
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Serial.begin(300); delay(1000); |
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Serial.println("*** Test Convolutional Filtering routine for F32 ***"); |
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sine_cos1.frequency(1000.0f); |
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sine_cos1.amplitude(1.0f); |
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toneDet1.frequency(100.0f, 5); |
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toneDet2.frequency(100.0f, 5); |
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convolution1.initFilter(4000.0f, 60.0f, 0, 0.0f); |
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convolution1.begin(1); |
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// Design for direct FIR. This sets frequency response.
|
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// Bin for 4kHz at 44.117kHz sample rate and 400 coeff's is (4000/44117) * (512/2) = 23.2
|
||||
for(int ii=0; ii<47; ii++) attenFIR[ii] = 0.0f; |
||||
for(int ii=47; ii<256; ii++) attenFIR[ii] = -150.0f; |
||||
// FIRGeneralNew(float *adb, uint16_t nFIR, float *cf32f, float kdb, float *pStateArray);
|
||||
filterFIRgeneral1.FIRGeneralNew(attenFIR, 512, coeffFIR, 60.0, stateFIR); |
||||
|
||||
// DSP measure frequency response in dB uniformly spaced from 100 to 20000 Hz
|
||||
Serial.println("Freq Hz Conv dB FIR dB"); |
||||
for(float32_t f=100.0; f<=20000.0f; f+=50.0f) |
||||
{ |
||||
sine_cos1.frequency(f); |
||||
toneDet1.frequency(f, (f>2000.0f ? 100 : 5)); |
||||
toneDet2.frequency(f, (f>2000.0f ? 100 : 5)); |
||||
delay(50); |
||||
while(!toneDet1.available())delay(2) ; |
||||
toneDet1.read(); |
||||
while(!toneDet2.available())delay(2) ; |
||||
toneDet2.read(); |
||||
while(!toneDet2.available())delay(2) ; |
||||
Serial.print(f); |
||||
Serial.print(", "); |
||||
while(!toneDet2.available())delay(2) ; |
||||
Serial.print(20.0f*log10f(toneDet2.read() ) ); |
||||
Serial.print(", "); |
||||
while(!toneDet1.available())delay(2) ; |
||||
Serial.println(20.0f*log10f(toneDet1.read() ) ); |
||||
} |
||||
} |
||||
|
||||
void loop() { |
||||
} |
Loading…
Reference in new issue