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Added a FFT based RRC filter
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@ -28,6 +28,7 @@
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// ----------------------------------------------------------------------------
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#include <memory.h>
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#include <algorithm>
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#include <iostream>
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#include <fstream>
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#include <cstdlib>
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@ -130,7 +131,7 @@ void fftfilt::create_filter(float f1, float f2)
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for (int i = 0; i < flen2; i++)
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filter[i] *= _blackman(i, flen2);
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fft->ComplexFFT(filter);
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fft->ComplexFFT(filter); // filter was expressed in the time domain (impulse response)
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// normalize the output filter for unity gain
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float scale = 0, mag;
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@ -155,7 +156,7 @@ void fftfilt::create_dsb_filter(float f2)
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filter[i] *= _blackman(i, flen2);
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}
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fft->ComplexFFT(filter);
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fft->ComplexFFT(filter); // filter was expressed in the time domain (impulse response)
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// normalize the output filter for unity gain
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float scale = 0, mag;
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@ -182,7 +183,7 @@ void fftfilt::create_asym_filter(float fopp, float fin)
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filter[i] *= _blackman(i, flen2);
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}
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fft->ComplexFFT(filter);
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fft->ComplexFFT(filter); // filter was expressed in the time domain (impulse response)
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// normalize the output filter for unity gain
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float scale = 0, mag;
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@ -204,7 +205,7 @@ void fftfilt::create_asym_filter(float fopp, float fin)
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filterOpp[i] *= _blackman(i, flen2);
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}
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fft->ComplexFFT(filterOpp);
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fft->ComplexFFT(filterOpp); // filter was expressed in the time domain (impulse response)
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// normalize the output filter for unity gain
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scale = 0;
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@ -218,6 +219,32 @@ void fftfilt::create_asym_filter(float fopp, float fin)
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}
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}
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// This filter is constructed directly from frequency domain response. Run with runFilt.
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void fftfilt::create_rrc_filter(float fb, float a)
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{
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std::fill(filter, filter+flen, 0);
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for (int i = 0; i < flen; i++) {
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filter[i] = frrc(fb, a, i, flen);
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}
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// normalize the output filter for unity gain
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float scale = 0, mag;
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for (int i = 0; i < flen; i++)
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{
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mag = abs(filter[i]);
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if (mag > scale) {
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scale = mag;
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}
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}
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if (scale != 0)
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{
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for (int i = 0; i < flen; i++) {
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filter[i] /= scale;
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}
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}
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}
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// test bypass
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int fftfilt::noFilt(const cmplx & in, cmplx **out)
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{
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@ -28,6 +28,7 @@ public:
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void create_filter(float f1, float f2);
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void create_dsb_filter(float f2);
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void create_asym_filter(float fopp, float fin); //!< two different filters for in band and opposite band
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void create_rrc_filter(float fb, float a); //!< root raised cosine. fb is half the band pass
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int noFilt(const cmplx& in, cmplx **out);
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int runFilt(const cmplx& in, cmplx **out);
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@ -48,18 +49,43 @@ protected:
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int pass;
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int window;
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inline float fsinc(float fc, int i, int len) {
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inline float fsinc(float fc, int i, int len)
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{
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int len2 = len/2;
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return (i == len2) ? 2.0 * fc:
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sin(2 * M_PI * fc * (i - len2)) / (M_PI * (i - len2));
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}
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inline float _blackman(int i, int len) {
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inline float _blackman(int i, int len)
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{
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return (0.42 -
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0.50 * cos(2.0 * M_PI * i / len) +
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0.08 * cos(4.0 * M_PI * i / len));
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}
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/** RRC function in the frequency domain. Zero frequency is on the sides with first half in positive frequencies
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* and second half in negative frequencies */
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inline cmplx frrc(float fb, float a, int i, int len)
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{
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float x = i/(float)len; // normalize to [0..1]
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x = 0.5-fabs(x-0.5); // apply symmetry: now both halves overlap near 0
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float tr = (fb*a)/2.0; // half the transition zone
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if (x < fb-tr)
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{
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return 1.0; // in band
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}
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else if (x < fb+tr) // transition
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{
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float y = ((x-(fb-tr)) / (2.0*tr))*M_PI;
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return (cos(y) + 1.0f)/2.0f;
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}
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else
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{
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return 0.0; // out of band
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}
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}
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void init_filter();
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void init_dsb_filter();
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};
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