/////////////////////////////////////////////////////////////////////////////////// // Copyright (C) 2023 Edouard Griffiths, F4EXB // // // // This is the code from ft8mon: https://github.com/rtmrtmrtmrtm/ft8mon // // reformatted and adapted to Qt and SDRangel context // // // // This program is free software; you can redistribute it and/or modify // // it under the terms of the GNU General Public License as published by // // the Free Software Foundation as version 3 of the License, or // // (at your option) any later version. // // // // This program is distributed in the hope that it will be useful, // // but WITHOUT ANY WARRANTY; without even the implied warranty of // // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // // GNU General Public License V3 for more details. // // // // You should have received a copy of the GNU General Public License // // along with this program. If not, see . // /////////////////////////////////////////////////////////////////////////////////// // #include #include #include #include "fft.h" #include "util.h" #include "ft8plan.h" #include "ft8plans.h" #include "fftbuffers.h" namespace FT8 { FFTEngine::FFTEngine() { m_fftBuffers = new FFTBuffers(); } FFTEngine::~FFTEngine() { delete m_fftBuffers; } // // do just one FFT on samples[i0..i0+block] // real inputs, complex outputs. // output has (block / 2) + 1 points. // std::vector> FFTEngine::one_fft( const std::vector &samples, int i0, int block ) { // assert(i0 >= 0); // assert(block > 1); int nsamples = samples.size(); int nbins = (block / 2) + 1; Plan *p = FT8Plans::GetInstance()->getPlan(block); fftwf_plan plan = p->fwd_; // assert((int)samples.size() - i0 >= block); float *m_in = (float *)samples.data() + i0; if ((((unsigned long long)m_in) % 16) != 0) { // m_in must be on a 16-byte boundary for FFTW. m_in = m_fftBuffers->getR(p->n_); // assert(m_in); for (int i = 0; i < block; i++) { if (i0 + i < nsamples) { m_in[i] = samples[i0 + i]; } else { m_in[i] = 0; } } } fftwf_complex *m_out = m_fftBuffers->getC(p->n_); // assert(m_out); fftwf_execute_dft_r2c(plan, m_in, m_out); std::vector> out(nbins); for (int bi = 0; bi < nbins; bi++) { float re = m_out[bi][0]; float im = m_out[bi][1]; out[bi] = std::complex(re, im); } return out; } // // do a full set of FFTs, one per symbol-time. // bins[time][frequency] // FFTEngine::ffts_t FFTEngine::ffts(const std::vector &samples, int i0, int block) { // assert(i0 >= 0); // assert(block > 1 && (block % 2) == 0); int nsamples = samples.size(); int nbins = (block / 2) + 1; int nblocks = (nsamples - i0) / block; ffts_t bins(nblocks); for (int si = 0; si < nblocks; si++) { bins[si].resize(nbins); } Plan *p = FT8Plans::GetInstance()->getPlan(block); fftwf_plan plan = p->fwd_; // allocate our own b/c using p->m_in and p->m_out isn't thread-safe. float *m_in = m_fftBuffers->getR(p->n_); fftwf_complex *m_out = m_fftBuffers->getC(p->n_); // assert(m_in && m_out); // float *m_in = p->r_; // fftw_complex *m_out = p->c_; for (int si = 0; si < nblocks; si++) { int off = i0 + si * block; for (int i = 0; i < block; i++) { if (off + i < nsamples) { float x = samples[off + i]; m_in[i] = x; } else { m_in[i] = 0; } } fftwf_execute_dft_r2c(plan, m_in, m_out); for (int bi = 0; bi < nbins; bi++) { float re = m_out[bi][0]; float im = m_out[bi][1]; std::complex c(re, im); bins[si][bi] = c; } } return bins; } // // do just one FFT on samples[i0..i0+block] // real inputs, complex outputs. // output has block points. // std::vector> FFTEngine::one_fft_c( const std::vector &samples, int i0, int block ) { // assert(i0 >= 0); // assert(block > 1); int nsamples = samples.size(); Plan *p = FT8Plans::GetInstance()->getPlan(block); fftwf_plan plan = p->cfwd_; fftwf_complex *m_in = m_fftBuffers->getCCI(block); fftwf_complex *m_out = m_fftBuffers->getCCO(block); // assert(m_in && m_out); for (int i = 0; i < block; i++) { if (i0 + i < nsamples) { m_in[i][0] = samples[i0 + i]; // real } else { m_in[i][0] = 0; } m_in[i][1] = 0; // imaginary } fftwf_execute_dft(plan, m_in, m_out); std::vector> out(block); float norm = 1.0 / sqrt(block); for (int bi = 0; bi < block; bi++) { float re = m_out[bi][0]; float im = m_out[bi][1]; std::complex c(re, im); c *= norm; out[bi] = c; } return out; } std::vector> FFTEngine::one_fft_cc( const std::vector> &samples, int i0, int block ) { // assert(i0 >= 0); // assert(block > 1); int nsamples = samples.size(); Plan *p = FT8Plans::GetInstance()->getPlan(block); fftwf_plan plan = p->cfwd_; fftwf_complex *m_in = m_fftBuffers->getCCI(block); fftwf_complex *m_out = m_fftBuffers->getCCO(block); // assert(m_in && m_out); for (int i = 0; i < block; i++) { if (i0 + i < nsamples) { m_in[i][0] = samples[i0 + i].real(); m_in[i][1] = samples[i0 + i].imag(); } else { m_in[i][0] = 0; m_in[i][1] = 0; } } fftwf_execute_dft(plan, m_in, m_out); std::vector> out(block); // float norm = 1.0 / sqrt(block); for (int bi = 0; bi < block; bi++) { float re = m_out[bi][0]; float im = m_out[bi][1]; std::complex c(re, im); // c *= norm; out[bi] = c; } return out; } std::vector> FFTEngine::one_ifft_cc( const std::vector> &bins ) { int block = bins.size(); Plan *p = FT8Plans::GetInstance()->getPlan(block); fftwf_plan plan = p->crev_; fftwf_complex *m_in = m_fftBuffers->getCCI(block); fftwf_complex *m_out = m_fftBuffers->getCCO(block); // assert(m_in && m_out); for (int bi = 0; bi < block; bi++) { float re = bins[bi].real(); float im = bins[bi].imag(); m_in[bi][0] = re; m_in[bi][1] = im; } fftwf_execute_dft(plan, m_in, m_out); std::vector> out(block); float norm = 1.0 / sqrt(block); for (int i = 0; i < block; i++) { float re = m_out[i][0]; float im = m_out[i][1]; std::complex c(re, im); c *= norm; out[i] = c; } return out; } std::vector FFTEngine::one_ifft(const std::vector> &bins) { int nbins = bins.size(); int block = (nbins - 1) * 2; Plan *p = FT8Plans::GetInstance()->getPlan(block); fftwf_plan plan = p->rev_; fftwf_complex *m_in = m_fftBuffers->getC(p->n_); float *m_out = m_fftBuffers->getR(p->n_); for (int bi = 0; bi < nbins; bi++) { float re = bins[bi].real(); float im = bins[bi].imag(); m_in[bi][0] = re; m_in[bi][1] = im; } fftwf_execute_dft_c2r(plan, m_in, m_out); std::vector out(block); for (int i = 0; i < block; i++) { out[i] = m_out[i]; } return out; } // // return the analytic signal for signal x, // just like scipy.signal.hilbert(), from which // this code is copied. // // the return value is x + iy, where y is the hilbert transform of x. // std::vector> FFTEngine::analytic(const std::vector &x) { ulong n = x.size(); std::vector> y = one_fft_c(x, 0, n); // assert(y.size() == n); // leave y[0] alone. // float the first (positive) half of the spectrum. // zero out the second (negative) half of the spectrum. // y[n/2] is the nyquist bucket if n is even; leave it alone. if ((n % 2) == 0) { for (ulong i = 1; i < n / 2; i++) y[i] *= 2; for (ulong i = n / 2 + 1; i < n; i++) y[i] = 0; } else { for (ulong i = 1; i < (n + 1) / 2; i++) y[i] *= 2; for (ulong i = (n + 1) / 2; i < n; i++) y[i] = 0; } std::vector> z = one_ifft_cc(y); return z; } // // general-purpose shift x in frequency by hz. // uses hilbert transform to avoid sidebands. // but it does wrap around at 0 hz and the nyquist frequency. // // note analytic() does an FFT over the whole signal, which // is expensive, and often re-used, but it turns out it // isn't a big factor in overall run-time. // // like weakutil.py's freq_shift(). // std::vector FFTEngine::hilbert_shift(const std::vector &x, float hz0, float hz1, int rate) { // y = scipy.signal.hilbert(x) std::vector> y = analytic(x); // assert(y.size() == x.size()); float dt = 1.0 / rate; int n = x.size(); std::vector ret(n); for (int i = 0; i < n; i++) { // complex "local oscillator" at hz. float hz = hz0 + (i / (float)n) * (hz1 - hz0); std::complex lo = std::exp(std::complex(0.0, 2 * M_PI * hz * dt * i)); ret[i] = (lo * y[i]).real(); } return ret; } } // namespace FT8