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			3823 lines
		
	
	
		
			99 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			3823 lines
		
	
	
		
			99 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
| ///////////////////////////////////////////////////////////////////////////////////
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| // Copyright (C) 2023 Edouard Griffiths, F4EXB <f4exb06@gmail.com>               //
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| //                                                                               //
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| // This is the code from ft8mon: https://github.com/rtmrtmrtmrtm/ft8mon          //
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| // reformatted and adapted to Qt and SDRangel context                            //
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| //                                                                               //
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| // This program is free software; you can redistribute it and/or modify          //
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| // it under the terms of the GNU General Public License as published by          //
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| // the Free Software Foundation as version 3 of the License, or                  //
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| // (at your option) any later version.                                           //
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| //                                                                               //
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| // This program is distributed in the hope that it will be useful,               //
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| // but WITHOUT ANY WARRANTY; without even the implied warranty of                //
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| // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the                  //
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| // GNU General Public License V3 for more details.                               //
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| //                                                                               //
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| // You should have received a copy of the GNU General Public License             //
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| // along with this program. If not, see <http://www.gnu.org/licenses/>.          //
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| ///////////////////////////////////////////////////////////////////////////////////
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| 
 | |
| //
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| // An FT8 receiver in C++.
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| //
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| // Many ideas and protocol details borrowed from Franke
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| // and Taylor's WSJT-X code.
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| //
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| // Robert Morris, AB1HL
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| //
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| 
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| #include <stdio.h>
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| // #include <assert.h>
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| #include <math.h>
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| #include <fftw3.h>
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| #include <algorithm>
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| #include <complex>
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| #include <random>
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| #include <functional>
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| #include <map>
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| 
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| #include <QThread>
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| 
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| #include "util.h"
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| #include "ft8.h"
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| #include "libldpc.h"
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| #include "osd.h"
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| #include "arrays.h"
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| 
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| namespace FT8 {
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| 
 | |
| //
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| // return a Hamming window of length n.
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| //
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| std::vector<float> hamming(int n)
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| {
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|     std::vector<float> h(n);
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| 
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|     for (int k = 0; k < n; k++) {
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|         h[k] = 0.54 - 0.46 * cos(2 * M_PI * k / (n - 1.0));
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|     }
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| 
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|     return h;
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| }
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| 
 | |
| //
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| // blackman window
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| //
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| std::vector<float> blackman(int n)
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| {
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|     std::vector<float> h(n);
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| 
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|     for (int k = 0; k < n; k++) {
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|         h[k] = 0.42 - 0.5 * cos(2 * M_PI * k / n) + 0.08 * cos(4 * M_PI * k / n);
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|     }
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| 
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|     return h;
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| }
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| 
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| //
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| // symmetric blackman window
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| //
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| std::vector<float> sym_blackman(int n)
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| {
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|     std::vector<float> h(n);
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| 
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|     for (int k = 0; k < (n / 2) + 1; k++) {
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|         h[k] = 0.42 - 0.5 * cos(2 * M_PI * k / n) + 0.08 * cos(4 * M_PI * k / n);
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|     }
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| 
 | |
|     for (int k = n - 1; k >= (n / 2) + 1; --k) {
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|         h[k] = h[(n - 1) - k];
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|     }
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| 
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|     return h;
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| }
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| 
 | |
| //
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| // blackman-harris window
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| //
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| std::vector<float> blackmanharris(int n)
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| {
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|     float a0 = 0.35875;
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|     float a1 = 0.48829;
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|     float a2 = 0.14128;
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|     float a3 = 0.01168;
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|     std::vector<float> h(n);
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| 
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|     for (int k = 0; k < n; k++)
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|     {
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|         // symmetric
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|         h[k] = a0 - a1 * cos(2 * M_PI * k / (n - 1)) + a2 * cos(4 * M_PI * k / (n - 1)) - a3 * cos(6 * M_PI * k / (n - 1));
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|         // periodic
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|         // h[k] =
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|         //  a0
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|         //  - a1 * cos(2 * M_PI * k / n)
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|         //  + a2 * cos(4 * M_PI * k / n)
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|         //  - a3 * cos(6 * M_PI * k / n);
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|     }
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| 
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|     return h;
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| }
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| 
 | |
| // a-priori probability of each of the 174 LDPC codeword
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| // bits being one. measured from reconstructed correct
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| // codewords, into ft8bits, then python bprob.py.
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| // from ft8-n4
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| const double FT8::apriori174[] = {
 | |
|   0.47, 0.32, 0.29, 0.37, 0.52, 0.36, 0.40, 0.42, 0.42, 0.53, 0.44,
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|   0.44, 0.39, 0.46, 0.39, 0.38, 0.42, 0.43, 0.45, 0.51, 0.42, 0.48,
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|   0.31, 0.45, 0.47, 0.53, 0.59, 0.41, 0.03, 0.50, 0.30, 0.26, 0.40,
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|   0.65, 0.34, 0.49, 0.46, 0.49, 0.69, 0.40, 0.45, 0.45, 0.60, 0.46,
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|   0.43, 0.49, 0.56, 0.45, 0.55, 0.51, 0.46, 0.37, 0.55, 0.52, 0.56,
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|   0.55, 0.50, 0.01, 0.19, 0.70, 0.88, 0.75, 0.75, 0.74, 0.73, 0.18,
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|   0.71, 0.35, 0.60, 0.58, 0.36, 0.60, 0.38, 0.50, 0.02, 0.01, 0.98,
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|   0.48, 0.49, 0.54, 0.50, 0.49, 0.53, 0.50, 0.49, 0.49, 0.51, 0.51,
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|   0.51, 0.47, 0.50, 0.53, 0.51, 0.46, 0.51, 0.51, 0.48, 0.51, 0.52,
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|   0.50, 0.52, 0.51, 0.50, 0.49, 0.53, 0.52, 0.50, 0.46, 0.47, 0.48,
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|   0.52, 0.50, 0.49, 0.51, 0.49, 0.49, 0.50, 0.50, 0.50, 0.50, 0.51,
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|   0.50, 0.49, 0.49, 0.55, 0.49, 0.51, 0.48, 0.55, 0.49, 0.48, 0.50,
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|   0.51, 0.50, 0.51, 0.50, 0.51, 0.53, 0.49, 0.54, 0.50, 0.48, 0.49,
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|   0.46, 0.51, 0.51, 0.52, 0.49, 0.51, 0.49, 0.51, 0.50, 0.49, 0.50,
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|   0.50, 0.47, 0.49, 0.52, 0.49, 0.51, 0.49, 0.48, 0.52, 0.48, 0.49,
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|   0.47, 0.50, 0.48, 0.50, 0.49, 0.51, 0.51, 0.51, 0.49,
 | |
| };
 | |
| 
 | |
| FT8::FT8(
 | |
|     const std::vector<float> &samples,
 | |
|     float min_hz,
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|     float max_hz,
 | |
|     int start,
 | |
|     int rate,
 | |
|     int hints1[],
 | |
|     int hints2[],
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|     double deadline,
 | |
|     double final_deadline,
 | |
|     CallbackInterface *cb,
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|     std::vector<cdecode> prevdecs,
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|     FFTEngine *fftEngine
 | |
| )
 | |
| {
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|     samples_ = samples;
 | |
|     min_hz_ = min_hz;
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|     max_hz_ = max_hz;
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|     prevdecs_ = prevdecs;
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|     start_ = start;
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|     rate_ = rate;
 | |
|     deadline_ = deadline;
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|     final_deadline_ = final_deadline;
 | |
|     cb_ = cb;
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|     down_hz_ = 0;
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| 
 | |
|     for (int i = 0; hints1[i]; i++) {
 | |
|         hints1_.push_back(hints1[i]);
 | |
|     }
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| 
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|     for (int i = 0; hints2[i]; i++) {
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|         hints2_.push_back(hints2[i]);
 | |
|     }
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| 
 | |
|     hack_size_ = -1;
 | |
|     hack_data_ = nullptr;
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|     hack_off_ = -1;
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|     hack_len_ = -1;
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|     fftEngine_ = fftEngine;
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|     npasses_ = 1;
 | |
| }
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| 
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| FT8::~FT8()
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| {
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| }
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| 
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| void FT8::start_work()
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| {
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|     go(npasses_);
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|     emit finished();
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| }
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| 
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| // strength of costas block of signal with tone 0 at bi0,
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| // and symbol zero at si0.
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| float FT8::one_coarse_strength(const FFTEngine::ffts_t &bins, int bi0, int si0)
 | |
| {
 | |
|     int costas[] = {3, 1, 4, 0, 6, 5, 2};
 | |
| 
 | |
|     // assert(si0 >= 0 && si0 + 72 + 8 <= (int)bins.size());
 | |
|     // assert(bi0 >= 0 && bi0 + 8 <= (int)bins[0].size());
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| 
 | |
|     float sig = 0.0;
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|     float noise = 0.0;
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| 
 | |
|     if (params.coarse_all >= 0)
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|     {
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|         for (int si = 0; si < 79; si++)
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|         {
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|             float mx;
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|             int mxi = -1;
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|             float sum = 0;
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| 
 | |
|             for (int i = 0; i < 8; i++)
 | |
|             {
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|                 float x = std::abs(bins[si0 + si][bi0 + i]);
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|                 sum += x;
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| 
 | |
|                 if (mxi < 0 || x > mx)
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|                 {
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|                     mxi = i;
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|                     mx = x;
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|                 }
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|             }
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| 
 | |
|             if (si >= 0 && si < 7)
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|             {
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|                 float x = std::abs(bins[si0 + si][bi0 + costas[si - 0]]);
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|                 sig += x;
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|                 noise += sum - x;
 | |
|             }
 | |
|             else if (si >= 36 && si < 36 + 7)
 | |
|             {
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|                 float x = std::abs(bins[si0 + si][bi0 + costas[si - 36]]);
 | |
|                 sig += x;
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|                 noise += sum - x;
 | |
|             }
 | |
|             else if (si >= 72 && si < 72 + 7)
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|             {
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|                 float x = std::abs(bins[si0 + si][bi0 + costas[si - 72]]);
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|                 sig += x;
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|                 noise += sum - x;
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|             }
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|             else
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|             {
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|                 sig += params.coarse_all * mx;
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|                 noise += params.coarse_all * (sum - mx);
 | |
|             }
 | |
|         }
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|     }
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|     else
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|     {
 | |
|         // coarse_all = -1
 | |
|         // just costas symbols
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|         for (int si = 0; si < 7; si++)
 | |
|         {
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|             for (int bi = 0; bi < 8; bi++)
 | |
|             {
 | |
|                 float x = 0;
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|                 x += std::abs(bins[si0 + si][bi0 + bi]);
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|                 x += std::abs(bins[si0 + 36 + si][bi0 + bi]);
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|                 x += std::abs(bins[si0 + 72 + si][bi0 + bi]);
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| 
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|                 if (bi == costas[si]) {
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|                     sig += x;
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|                 } else {
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|                     noise += x;
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|                 }
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|             }
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|         }
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|     }
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| 
 | |
|     if (params.coarse_strength_how == 0) {
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|         return sig - noise;
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|     } else if (params.coarse_strength_how == 1) {
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|         return sig - noise / 7;
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|     } else if (params.coarse_strength_how == 2) {
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|         return sig / (noise / 7);
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|     } else if (params.coarse_strength_how == 3) {
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|         return sig / (sig + (noise / 7));
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|     } else if (params.coarse_strength_how == 4) {
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|         return sig;
 | |
|     } else if (params.coarse_strength_how == 5) {
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|         return sig / (sig + noise);
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|     } else if (params.coarse_strength_how == 6) {
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|         // this is it.
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|         return sig / noise;
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|     } else {
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|         return 0;
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|     }
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| }
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| 
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| // return symbol length in samples at the given rate.
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| // insist on integer symbol lengths so that we can
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| // use whole FFT bins.
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| int FT8::blocksize(int rate)
 | |
| {
 | |
|     // FT8 symbol length is 1920 at 12000 samples/second.
 | |
|     int xblock = (1920*rate) / 12000;
 | |
|     int block = xblock;
 | |
|     return block;
 | |
| }
 | |
| 
 | |
| 
 | |
| 
 | |
| //
 | |
| // look for potential psignals by searching FFT bins for Costas symbol
 | |
| // blocks. returns a vector of candidate positions.
 | |
| //
 | |
| std::vector<Strength> FT8::coarse(const FFTEngine::ffts_t &bins, int si0, int si1)
 | |
| {
 | |
|     int block = blocksize(rate_);
 | |
|     int nbins = bins[0].size();
 | |
|     float bin_hz = rate_ / (float)block;
 | |
|     int min_bin = min_hz_ / bin_hz;
 | |
|     int max_bin = max_hz_ / bin_hz;
 | |
|     std::vector<Strength> strengths;
 | |
| 
 | |
|     for (int bi = min_bin; bi < max_bin && bi + 8 <= nbins; bi++)
 | |
|     {
 | |
|         std::vector<Strength> sv;
 | |
| 
 | |
|         for (int si = si0; si < si1 && si + 79 < (int)bins.size(); si++)
 | |
|         {
 | |
|             float s = one_coarse_strength(bins, bi, si);
 | |
|             Strength st;
 | |
|             st.strength_ = s;
 | |
|             st.hz_ = bi * 6.25;
 | |
|             st.off_ = si * block;
 | |
|             sv.push_back(st);
 | |
|         }
 | |
| 
 | |
|         if (sv.size() < 1) {
 | |
|             break;
 | |
|         }
 | |
| 
 | |
|         // save best ncoarse offsets, but require that they be separated
 | |
|         // by at least one symbol time.
 | |
| 
 | |
|         std::sort(
 | |
|             sv.begin(),
 | |
|             sv.end(),
 | |
|             [](const Strength &a, const Strength &b) -> bool {
 | |
|                 return a.strength_ > b.strength_;
 | |
|             }
 | |
|         );
 | |
| 
 | |
|         strengths.push_back(sv[0]);
 | |
|         int nn = 1;
 | |
| 
 | |
|         for (int i = 1; nn < params.ncoarse && i < (int)sv.size(); i++)
 | |
|         {
 | |
|             if (std::abs(sv[i].off_ - sv[0].off_) > params.ncoarse_blocks * block)
 | |
|             {
 | |
|                 strengths.push_back(sv[i]);
 | |
|                 nn++;
 | |
|             }
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return strengths;
 | |
| }
 | |
| 
 | |
| //
 | |
| // reduce the sample rate from arate to brate.
 | |
| // center hz0..hz1 in the new nyquist range.
 | |
| // but first filter to that range.
 | |
| // sets delta_hz to hz moved down.
 | |
| //
 | |
| std::vector<float> FT8::reduce_rate(
 | |
|     const std::vector<float> &a,
 | |
|     float hz0,
 | |
|     float hz1,
 | |
|     int arate,
 | |
|     int brate,
 | |
|     float &delta_hz
 | |
| )
 | |
| {
 | |
|     // assert(brate < arate);
 | |
|     // assert(hz1 - hz0 <= brate / 2);
 | |
| 
 | |
|     // the pass band is hz0..hz1
 | |
|     // stop bands are 0..hz00 and hz11..nyquist.
 | |
|     float hz00, hz11;
 | |
|     hz0 = std::max(0.0f, hz0 - params.reduce_extra);
 | |
|     hz1 = std::min(arate / 2.0f, hz1 + params.reduce_extra);
 | |
| 
 | |
|     if (params.reduce_shoulder > 0)
 | |
|     {
 | |
|         hz00 = hz0 - params.reduce_shoulder;
 | |
|         hz11 = hz1 + params.reduce_shoulder;
 | |
|     }
 | |
|     else
 | |
|     {
 | |
|         float mid = (hz0 + hz1) / 2;
 | |
|         hz00 = mid - (brate * params.reduce_factor);
 | |
|         hz00 = std::min(hz00, hz0);
 | |
|         hz11 = mid + (brate * params.reduce_factor);
 | |
|         hz11 = std::max(hz11, hz1);
 | |
|     }
 | |
| 
 | |
|     int alen = a.size();
 | |
|     std::vector<std::complex<float>> bins1 = fftEngine_->one_fft(a, 0, alen);
 | |
|     int nbins1 = bins1.size();
 | |
|     float bin_hz = arate / (float)alen;
 | |
| 
 | |
|     if (params.reduce_how == 2)
 | |
|     {
 | |
|         // band-pass filter the FFT output.
 | |
|         bins1 = fbandpass(
 | |
|             bins1,
 | |
|             bin_hz,
 | |
|             hz00,
 | |
|             hz0,
 | |
|             hz1,
 | |
|             hz11
 | |
|         );
 | |
|     }
 | |
| 
 | |
|     if (params.reduce_how == 3)
 | |
|     {
 | |
|         for (int i = 0; i < nbins1; i++)
 | |
|         {
 | |
|             if (i < (hz0 / bin_hz)) {
 | |
|                 bins1[i] = 0;
 | |
|             } else if (i > (hz1 / bin_hz)) {
 | |
|                 bins1[i] = 0;
 | |
|             }
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     // shift down.
 | |
|     int omid = ((hz0 + hz1) / 2) / bin_hz;
 | |
|     int nmid = (brate / 4.0) / bin_hz;
 | |
|     int delta = omid - nmid; // amount to move down
 | |
|     // assert(delta < nbins1);
 | |
|     int blen = round(alen * (brate / (float)arate));
 | |
|     std::vector<std::complex<float>> bbins(blen / 2 + 1);
 | |
| 
 | |
|     for (int i = 0; i < (int)bbins.size(); i++)
 | |
|     {
 | |
|         if (delta > 0) {
 | |
|             bbins[i] = bins1[i + delta];
 | |
|         } else {
 | |
|             bbins[i] = bins1[i];
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     // use ifft to reduce the rate.
 | |
|     std::vector<float> vvv = fftEngine_->one_ifft(bbins);
 | |
|     delta_hz = delta * bin_hz;
 | |
| 
 | |
|     return vvv;
 | |
| }
 | |
| 
 | |
| void FT8::go(int npasses)
 | |
| {
 | |
|     if (0)
 | |
|     {
 | |
|         fprintf(stderr, "go: %.0f .. %.0f, %.0f, rate=%d\n",
 | |
|                 min_hz_, max_hz_, max_hz_ - min_hz_, rate_);
 | |
|     }
 | |
| 
 | |
|     // trim to make samples_ a good size for FFTW.
 | |
|     int nice_sizes[] = {18000, 18225, 36000, 36450,
 | |
|                         54000, 54675, 72000, 72900,
 | |
|                         144000, 145800, 216000, 218700,
 | |
|                         0};
 | |
|     int nice = -1;
 | |
| 
 | |
|     for (int i = 0; nice_sizes[i]; i++)
 | |
|     {
 | |
|         int sz = nice_sizes[i];
 | |
| 
 | |
|         if (fabs(samples_.size() - sz) < 0.05 * samples_.size())
 | |
|         {
 | |
|             nice = sz;
 | |
|             break;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (nice != -1) {
 | |
|         samples_.resize(nice);
 | |
|     }
 | |
| 
 | |
|     // assert(min_hz_ >= 0 && max_hz_ + 50 <= rate_ / 2);
 | |
| 
 | |
|     // can we reduce the sample rate?
 | |
|     int nrate = -1;
 | |
|     for (int xrate = 100; xrate < rate_; xrate += 100)
 | |
|     {
 | |
|         if (xrate < rate_ && (params.oddrate || (rate_ % xrate) == 0))
 | |
|         {
 | |
|             if (((max_hz_ - min_hz_) + 50 + 2 * params.go_extra) < params.nyquist * (xrate / 2))
 | |
|             {
 | |
|                 nrate = xrate;
 | |
|                 break;
 | |
|             }
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (params.do_reduce && nrate > 0 && nrate < rate_ * 0.75)
 | |
|     {
 | |
|         // filter and reduce the sample rate from rate_ to nrate.
 | |
| 
 | |
|         double t0 = now();
 | |
|         int osize = samples_.size();
 | |
| 
 | |
|         float delta_hz; // how much it moved down
 | |
|         samples_ = reduce_rate(
 | |
|             samples_,
 | |
|             min_hz_ - 3.1 - params.go_extra,
 | |
|             max_hz_ + 50 - 3.1 + params.go_extra,
 | |
|             rate_,
 | |
|             nrate,
 | |
|             delta_hz
 | |
|         );
 | |
| 
 | |
|         double t1 = now();
 | |
| 
 | |
|         if (t1 - t0 > 0.1)
 | |
|         {
 | |
|             fprintf(stderr, "reduce oops, size %d -> %d, rate %d -> %d, took %.2f\n",
 | |
|                     osize,
 | |
|                     (int)samples_.size(),
 | |
|                     rate_,
 | |
|                     nrate,
 | |
|                     t1 - t0);
 | |
|         }
 | |
| 
 | |
|         if (0)
 | |
|         {
 | |
|             fprintf(stderr, "%.0f..%.0f, range %.0f, rate %d -> %d, delta hz %.0f, %.6f sec\n",
 | |
|                     min_hz_, max_hz_,
 | |
|                     max_hz_ - min_hz_,
 | |
|                     rate_, nrate, delta_hz, t1 - t0);
 | |
|         }
 | |
| 
 | |
|         if (delta_hz > 0)
 | |
|         {
 | |
|             down_hz_ = delta_hz; // to adjust hz for Python.
 | |
|             min_hz_ -= down_hz_;
 | |
|             max_hz_ -= down_hz_;
 | |
| 
 | |
|             for (int i = 0; i < (int)prevdecs_.size(); i++)
 | |
|             {
 | |
|                 prevdecs_[i].hz0 -= delta_hz;
 | |
|                 prevdecs_[i].hz1 -= delta_hz;
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         // assert(max_hz_ + 50 < nrate / 2);
 | |
|         // assert(min_hz_ >= 0);
 | |
| 
 | |
|         float ratio = nrate / (float)rate_;
 | |
|         rate_ = nrate;
 | |
|         start_ = round(start_ * ratio);
 | |
|     }
 | |
| 
 | |
|     int block = blocksize(rate_);
 | |
| 
 | |
|     // start_ is the sample number of 0.5 seconds, the nominal start time.
 | |
| 
 | |
|     // make sure there's at least tplus*rate_ samples after the end.
 | |
|     if (start_ + params.tplus * rate_ + 79 * block + block > samples_.size())
 | |
|     {
 | |
|         int need = start_ + params.tplus * rate_ + 79 * block - samples_.size();
 | |
| 
 | |
|         // round up to a whole second, to ease fft plan caching.
 | |
|         if ((need % rate_) != 0) {
 | |
|             need += rate_ - (need % rate_);
 | |
|         }
 | |
| 
 | |
|         std::default_random_engine generator;
 | |
|         std::uniform_int_distribution<int> distribution(0, samples_.size() - 1);
 | |
|         auto rnd = std::bind(distribution, generator);
 | |
|         std::vector<float> v(need);
 | |
| 
 | |
|         for (int i = 0; i < need; i++)
 | |
|         {
 | |
|             // v[i] = 0;
 | |
|             v[i] = samples_[rnd()];
 | |
|         }
 | |
| 
 | |
|         samples_.insert(samples_.end(), v.begin(), v.end());
 | |
|     }
 | |
| 
 | |
|     int si0 = (start_ - params.tminus * rate_) / block;
 | |
| 
 | |
|     if (si0 < 0) {
 | |
|         si0 = 0;
 | |
|     }
 | |
| 
 | |
|     int si1 = (start_ + params.tplus * rate_) / block;
 | |
| 
 | |
|     // a copy from which to subtract.
 | |
|     nsamples_ = samples_;
 | |
|     int any = 0;
 | |
| 
 | |
|     for (int i = 0; i < (int)prevdecs_.size(); i++)
 | |
|     {
 | |
|         auto d = prevdecs_[i];
 | |
| 
 | |
|         if (d.hz0 >= min_hz_ && d.hz0 <= max_hz_)
 | |
|         {
 | |
|             // reconstruct correct 79 symbols from LDPC output.
 | |
|             std::vector<int> re79 = recode(d.bits);
 | |
| 
 | |
|             // fine up hz/off again now that we have more samples
 | |
|             float best_hz = (d.hz0 + d.hz1) / 2.0;
 | |
|             float best_off = d.off; // seconds
 | |
|             search_both_known(
 | |
|                 samples_,
 | |
|                 rate_,
 | |
|                 re79,
 | |
|                 best_hz,
 | |
|                 best_off,
 | |
|                 best_hz,
 | |
|                 best_off
 | |
|             );
 | |
| 
 | |
|             // subtract from nsamples_.
 | |
|             subtract(re79, best_hz, best_hz, best_off);
 | |
|             any += 1;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (any) {
 | |
|         samples_ = nsamples_;
 | |
|     }
 | |
| 
 | |
|     for (pass_ = 0; pass_ < npasses; pass_++)
 | |
|     {
 | |
|         double total_remaining = deadline_ - now();
 | |
|         double remaining = total_remaining / (npasses - pass_);
 | |
| 
 | |
|         if (pass_ == 0) {
 | |
|             remaining *= params.pass0_frac;
 | |
|         }
 | |
| 
 | |
|         double deadline = now() + remaining;
 | |
|         int new_decodes = 0;
 | |
|         samples_ = nsamples_;
 | |
| 
 | |
|         std::vector<Strength> order;
 | |
| 
 | |
|         //
 | |
|         // search coarsely for Costas blocks.
 | |
|         // in fractions of bins in off and hz.
 | |
|         //
 | |
| 
 | |
|         // just do this once, re-use for every fractional fft_shift
 | |
|         // and down_v7_f() to 200 sps.
 | |
|         std::vector<std::complex<float>> bins = fftEngine_->one_fft(
 | |
|             samples_, 0, samples_.size());
 | |
| 
 | |
|         for (int hz_frac_i = 0; hz_frac_i < params.coarse_hz_n; hz_frac_i++)
 | |
|         {
 | |
|             // shift down by hz_frac
 | |
|             float hz_frac = hz_frac_i * (6.25 / params.coarse_hz_n);
 | |
|             std::vector<float> samples1;
 | |
| 
 | |
|             if (hz_frac_i == 0) {
 | |
|                 samples1 = samples_;
 | |
|             } else {
 | |
|                 samples1 = fft_shift_f(bins, rate_, hz_frac);
 | |
|             }
 | |
| 
 | |
|             for (int off_frac_i = 0; off_frac_i < params.coarse_off_n; off_frac_i++)
 | |
|             {
 | |
|                 int off_frac = off_frac_i * (block / params.coarse_off_n);
 | |
|                 FFTEngine::ffts_t bins = fftEngine_->ffts(samples1, off_frac, block);
 | |
|                 std::vector<Strength> oo = coarse(bins, si0, si1);
 | |
| 
 | |
|                 for (int i = 0; i < (int)oo.size(); i++)
 | |
|                 {
 | |
|                     oo[i].hz_ += hz_frac;
 | |
|                     oo[i].off_ += off_frac;
 | |
|                 }
 | |
| 
 | |
|                 order.insert(order.end(), oo.begin(), oo.end());
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         //
 | |
|         // sort strongest-first.
 | |
|         //
 | |
|         std::sort(
 | |
|             order.begin(),
 | |
|             order.end(),
 | |
|             [](const Strength &a, const Strength &b) -> bool {
 | |
|                 return a.strength_ > b.strength_;
 | |
|             }
 | |
|         );
 | |
| 
 | |
|         char already[2000]; // XXX
 | |
| 
 | |
|         for (int i = 0; i < (int)(sizeof(already) / sizeof(already[0])); i++) {
 | |
|             already[i] = 0;
 | |
|         }
 | |
| 
 | |
|         for (int ii = 0; ii < (int)order.size(); ii++)
 | |
|         {
 | |
|             double tt = now();
 | |
| 
 | |
|             if (ii > 0 &&
 | |
|                 tt > deadline &&
 | |
|                 (tt > deadline_ || new_decodes >= params.pass_threshold) &&
 | |
|                 (pass_ < npasses - 1 || tt > final_deadline_)
 | |
|             ) {
 | |
|                 break;
 | |
|             }
 | |
| 
 | |
|             float hz = order[ii].hz_;
 | |
| 
 | |
|             if (already[(int)round(hz / params.already_hz)]) {
 | |
|                 continue;
 | |
|             }
 | |
| 
 | |
|             int off = order[ii].off_;
 | |
|             int ret = one_merge(bins, samples_.size(), hz, off);
 | |
| 
 | |
|             if (ret)
 | |
|             {
 | |
|                 if (ret == 2) {
 | |
|                     new_decodes++;
 | |
|                 }
 | |
| 
 | |
|                 already[(int)round(hz / params.already_hz)] = 1;
 | |
|             }
 | |
|         }
 | |
|     } // pass
 | |
| }
 | |
| 
 | |
| //
 | |
| // what's the strength of the Costas sync blocks of
 | |
| // the signal starting at hz and off?
 | |
| //
 | |
| float FT8::one_strength(const std::vector<float> &samples200, float hz, int off)
 | |
| {
 | |
|     int bin0 = round(hz / 6.25);
 | |
|     int costas[] = {3, 1, 4, 0, 6, 5, 2};
 | |
|     int starts[] = {0, 36, 72};
 | |
|     float sig = 0;
 | |
|     float noise = 0;
 | |
| 
 | |
|     for (int which = 0; which < 3; which++)
 | |
|     {
 | |
|         int start = starts[which];
 | |
| 
 | |
|         for (int si = 0; si < 7; si++)
 | |
|         {
 | |
|             auto fft = fftEngine_->one_fft(samples200, off + (si + start) * 32, 32);
 | |
|             for (int bi = 0; bi < 8; bi++)
 | |
|             {
 | |
|                 float x = std::abs(fft[bin0 + bi]);
 | |
| 
 | |
|                 if (bi == costas[si]) {
 | |
|                     sig += x;
 | |
|                 } else {
 | |
|                     noise += x;
 | |
|                 }
 | |
|             }
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (params.strength_how == 0) {
 | |
|         return sig - noise;
 | |
|     } else if (params.strength_how == 1) {
 | |
|         return sig - noise / 7;
 | |
|     } else if (params.strength_how == 2) {
 | |
|         return sig / (noise / 7);
 | |
|     } else if (params.strength_how == 3) {
 | |
|         return sig / (sig + (noise / 7));
 | |
|     } else if (params.strength_how == 4) {
 | |
|         return sig;
 | |
|     } else if (params.strength_how == 5) {
 | |
|         return sig / (sig + noise);
 | |
|     } else if (params.strength_how == 6) {
 | |
|         return sig / noise;
 | |
|     } else {
 | |
|         return 0;
 | |
|     }
 | |
| }
 | |
| 
 | |
| //
 | |
| // given a complete known signal's symbols in syms,
 | |
| // how strong is it? used to look for the best
 | |
| // offset and frequency at which to subtract a
 | |
| // decoded signal.
 | |
| //
 | |
| float FT8::one_strength_known(
 | |
|     const std::vector<float> &samples,
 | |
|     int rate,
 | |
|     const std::vector<int> &syms,
 | |
|     float hz,
 | |
|     int off
 | |
| )
 | |
| {
 | |
|     int block = blocksize(rate);
 | |
|     // assert(syms.size() == 79);
 | |
|     int bin0 = round(hz / 6.25);
 | |
|     float sig = 0;
 | |
|     float noise = 0;
 | |
|     float sum7 = 0;
 | |
|     std::complex<float> prev = 0;
 | |
| 
 | |
|     for (int si = 0; si < 79; si += params.known_sparse)
 | |
|     {
 | |
|         auto fft = fftEngine_->one_fft(samples, off + si * block, block);
 | |
| 
 | |
|         if (params.known_strength_how == 7)
 | |
|         {
 | |
|             std::complex<float> c = fft[bin0 + syms[si]];
 | |
| 
 | |
|             if (si > 0) {
 | |
|                 sum7 += std::abs(c - prev);
 | |
|             }
 | |
| 
 | |
|             prev = c;
 | |
|         }
 | |
|         else
 | |
|         {
 | |
|             for (int bi = 0; bi < 8; bi++)
 | |
|             {
 | |
|                 float x = std::abs(fft[bin0 + bi]);
 | |
| 
 | |
|                 if (bi == syms[si]) {
 | |
|                     sig += x;
 | |
|                 } else {
 | |
|                     noise += x;
 | |
|                 }
 | |
|             }
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (params.known_strength_how == 0) {
 | |
|         return sig - noise;
 | |
|     } else if (params.known_strength_how == 1) {
 | |
|         return sig - noise / 7;
 | |
|     } else if (params.known_strength_how == 2) {
 | |
|         return sig / (noise / 7);
 | |
|     } else if (params.known_strength_how == 3) {
 | |
|         return sig / (sig + (noise / 7));
 | |
|     } else if (params.known_strength_how == 4) {
 | |
|         return sig;
 | |
|     } else if (params.known_strength_how == 5) {
 | |
|         return sig / (sig + noise);
 | |
|     } else if (params.known_strength_how == 6) {
 | |
|         return sig / noise;
 | |
|     } else if (params.known_strength_how == 7) {
 | |
|         return -sum7;
 | |
|     } else {
 | |
|         return 0;
 | |
|     }
 | |
| }
 | |
| 
 | |
| int FT8::search_time_fine(
 | |
|     const std::vector<float> &samples200,
 | |
|     int off0,
 | |
|     int offN,
 | |
|     float hz,
 | |
|     int gran,
 | |
|     float &str
 | |
| )
 | |
| {
 | |
|     if (off0 < 0) {
 | |
|         off0 = 0;
 | |
|     }
 | |
| 
 | |
|     //
 | |
|     // shift in frequency to put hz at 25.
 | |
|     // only shift the samples we need, both for speed,
 | |
|     // and try to always shift down the same number of samples
 | |
|     // to make it easier to cache fftw plans.
 | |
|     //
 | |
|     int len = (offN - off0) + 79 * 32 + 32;
 | |
| 
 | |
|     if (off0 + len > (int)samples200.size())
 | |
|     {
 | |
|         // len = samples200.size() - off0;
 | |
|         // don't provoke random-length FFTs.
 | |
|         return -1;
 | |
|     }
 | |
| 
 | |
|     std::vector<float> downsamples200 = shift200(samples200, off0, len, hz);
 | |
|     int best_off = -1;
 | |
|     float best_sum = 0.0;
 | |
| 
 | |
|     for (int g = 0; g <= (offN - off0) && g + 79 * 32 <= len; g += gran)
 | |
|     {
 | |
|         float sum = one_strength(downsamples200, 25, g);
 | |
| 
 | |
|         if (sum > best_sum || best_off == -1)
 | |
|         {
 | |
|             best_off = g;
 | |
|             best_sum = sum;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     str = best_sum;
 | |
|     // assert(best_off >= 0);
 | |
|     return off0 + best_off;
 | |
| }
 | |
| 
 | |
| int FT8::search_time_fine_known(
 | |
|     const std::vector<std::complex<float>> &bins,
 | |
|     int rate,
 | |
|     const std::vector<int> &syms,
 | |
|     int off0,
 | |
|     int offN,
 | |
|     float hz,
 | |
|     int gran,
 | |
|     float &str
 | |
| )
 | |
| {
 | |
|     if (off0 < 0) {
 | |
|         off0 = 0;
 | |
|     }
 | |
| 
 | |
|     // nearest FFT bin center.
 | |
|     float hz0 = round(hz / 6.25) * 6.25;
 | |
|     // move hz to hz0, so it is centered in a symbol-sized bin.
 | |
|     std::vector<float> downsamples = fft_shift_f(bins, rate, hz - hz0);
 | |
|     int best_off = -1;
 | |
|     int block = blocksize(rate);
 | |
|     float best_sum = 0.0;
 | |
| 
 | |
|     for (int g = off0; g <= offN; g += gran)
 | |
|     {
 | |
|         if (g >= 0 && g + 79 * block <= (int)downsamples.size())
 | |
|         {
 | |
|             float sum = one_strength_known(downsamples, rate, syms, hz0, g);
 | |
| 
 | |
|             if (sum > best_sum || best_off == -1)
 | |
|             {
 | |
|                 best_off = g;
 | |
|                 best_sum = sum;
 | |
|             }
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (best_off < 0) {
 | |
|         return -1;
 | |
|     }
 | |
| 
 | |
|     str = best_sum;
 | |
|     return best_off;
 | |
| }
 | |
| 
 | |
| //
 | |
| // search for costas blocks in an MxN time/frequency grid.
 | |
| // hz0 +/- hz_win in hz_inc increments. hz0 should be near 25.
 | |
| // off0 +/- off_win in off_inc incremenents.
 | |
| //
 | |
| std::vector<Strength> FT8::search_both(
 | |
|     const std::vector<float> &samples200,
 | |
|     float hz0,
 | |
|     int hz_n,
 | |
|     float hz_win,
 | |
|     int off0,
 | |
|     int off_n,
 | |
|     int off_win
 | |
| )
 | |
| {
 | |
|     // assert(hz0 >= 25 - 6.25 / 2 && hz0 <= 25 + 6.25 / 2);
 | |
| 
 | |
|     std::vector<Strength> strengths;
 | |
| 
 | |
|     float hz_inc = 2 * hz_win / hz_n;
 | |
|     int off_inc = round(2 * off_win / (float)off_n);
 | |
| 
 | |
|     if (off_inc < 1) {
 | |
|         off_inc = 1;
 | |
|     }
 | |
| 
 | |
|     for (float hz = hz0 - hz_win; hz <= hz0 + hz_win + 0.01; hz += hz_inc)
 | |
|     {
 | |
|         float str = 0;
 | |
|         int off = search_time_fine(
 | |
|             samples200,
 | |
|             off0 - off_win,
 | |
|             off0 + off_win, hz,
 | |
|             off_inc,
 | |
|             str
 | |
|         );
 | |
| 
 | |
|         if (off >= 0)
 | |
|         {
 | |
|             Strength st;
 | |
|             st.hz_ = hz;
 | |
|             st.off_ = off;
 | |
|             st.strength_ = str;
 | |
|             strengths.push_back(st);
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return strengths;
 | |
| }
 | |
| 
 | |
| void FT8::search_both_known(
 | |
|     const std::vector<float> &samples,
 | |
|     int rate,
 | |
|     const std::vector<int> &syms,
 | |
|     float hz0,
 | |
|     float off_secs0, // seconds
 | |
|     float &hz_out,
 | |
|     float &off_out
 | |
| )
 | |
| {
 | |
|     // assert(hz0 >= 0 && hz0 + 50 < rate / 2);
 | |
| 
 | |
|     int off0 = round(off_secs0 * (float)rate);
 | |
|     int off_win = params.third_off_win * blocksize(rate_);
 | |
| 
 | |
|     if (off_win < 1) {
 | |
|         off_win = 1;
 | |
|     }
 | |
| 
 | |
|     int off_inc = trunc((2.0 * off_win) / (params.third_off_n - 1.0));
 | |
| 
 | |
|     if (off_inc < 1) {
 | |
|         off_inc = 1;
 | |
|     }
 | |
| 
 | |
|     int got_best = 0;
 | |
|     float best_hz = 0;
 | |
|     int best_off = 0;
 | |
|     float best_strength = 0;
 | |
|     std::vector<std::complex<float>> bins = fftEngine_->one_fft(samples, 0, samples.size());
 | |
|     float hz_start, hz_inc, hz_end;
 | |
| 
 | |
|     if (params.third_hz_n > 1)
 | |
|     {
 | |
|         hz_inc = (2.0 * params.third_hz_win) / (params.third_hz_n - 1.0);
 | |
|         hz_start = hz0 - params.third_hz_win;
 | |
|         hz_end = hz0 + params.third_hz_win;
 | |
|     }
 | |
|     else
 | |
|     {
 | |
|         hz_inc = 1;
 | |
|         hz_start = hz0;
 | |
|         hz_end = hz0;
 | |
|     }
 | |
| 
 | |
|     for (float hz = hz_start; hz <= hz_end + 0.0001; hz += hz_inc)
 | |
|     {
 | |
|         float strength = 0;
 | |
|         int off = search_time_fine_known(
 | |
|             bins,
 | |
|             rate,
 | |
|             syms,
 | |
|             off0 - off_win,
 | |
|             off0 + off_win,
 | |
|             hz,
 | |
|             off_inc,
 | |
|             strength
 | |
|         );
 | |
| 
 | |
|         if (off >= 0 && (got_best == 0 || strength > best_strength))
 | |
|         {
 | |
|             got_best = 1;
 | |
|             best_hz = hz;
 | |
|             best_off = off;
 | |
|             best_strength = strength;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (got_best)
 | |
|     {
 | |
|         hz_out = best_hz;
 | |
|         off_out = best_off / (float)rate;
 | |
|     }
 | |
| }
 | |
| 
 | |
| //
 | |
| // shift frequency by shifting the bins of one giant FFT.
 | |
| // so no problem with phase mismatch &c at block boundaries.
 | |
| // surprisingly fast at 200 samples/second.
 | |
| // shifts *down* by hz.
 | |
| //
 | |
| std::vector<float> FT8::fft_shift(
 | |
|     const std::vector<float> &samples,
 | |
|     int off,
 | |
|     int len,
 | |
|     int rate,
 | |
|     float hz
 | |
| )
 | |
| {
 | |
|     std::vector<std::complex<float>> bins;
 | |
|     // horrible hack to avoid repeated FFTs on the same input.
 | |
|     hack_mu_.lock();
 | |
| 
 | |
|     if ((int)samples.size() == hack_size_ && samples.data() == hack_data_ &&
 | |
|         off == hack_off_ && len == hack_len_ &&
 | |
|         samples[0] == hack_0_ && samples[1] == hack_1_)
 | |
|     {
 | |
|         bins = hack_bins_;
 | |
|     }
 | |
|     else
 | |
|     {
 | |
|         bins = fftEngine_->one_fft(samples, off, len);
 | |
|         hack_bins_ = bins;
 | |
|         hack_size_ = samples.size();
 | |
|         hack_off_ = off;
 | |
|         hack_len_ = len;
 | |
|         hack_0_ = samples[0];
 | |
|         hack_1_ = samples[1];
 | |
|         hack_data_ = samples.data();
 | |
|     }
 | |
| 
 | |
|     hack_mu_.unlock();
 | |
|     return fft_shift_f(bins, rate, hz);
 | |
| }
 | |
| 
 | |
| //
 | |
| // shift down by hz.
 | |
| //
 | |
| std::vector<float> FT8::fft_shift_f(
 | |
|     const std::vector<std::complex<float>> &bins,
 | |
|     int rate,
 | |
|     float hz
 | |
| )
 | |
| {
 | |
|     int nbins = bins.size();
 | |
|     int len = (nbins - 1) * 2;
 | |
|     float bin_hz = rate / (float)len;
 | |
|     int down = round(hz / bin_hz);
 | |
|     std::vector<std::complex<float>> bins1(nbins);
 | |
| 
 | |
|     for (int i = 0; i < nbins; i++)
 | |
|     {
 | |
|         int j = i + down;
 | |
| 
 | |
|         if (j >= 0 && j < nbins) {
 | |
|             bins1[i] = bins[j];
 | |
|         } else {
 | |
|             bins1[i] = 0;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     std::vector<float> out = fftEngine_->one_ifft(bins1);
 | |
|     return out;
 | |
| }
 | |
| 
 | |
| // shift the frequency by a fraction of 6.25,
 | |
| // to center hz on bin 4 (25 hz).
 | |
| std::vector<float> FT8::shift200(
 | |
|     const std::vector<float> &samples200,
 | |
|     int off,
 | |
|     int len,
 | |
|     float hz
 | |
| )
 | |
| {
 | |
|     if (std::abs(hz - 25) < 0.001 && off == 0 && len == (int)samples200.size()) {
 | |
|         return samples200;
 | |
|     } else {
 | |
|         return fft_shift(samples200, off, len, 200, hz - 25.0);
 | |
|     }
 | |
|     // return hilbert_shift(samples200, hz - 25.0, hz - 25.0, 200);
 | |
| }
 | |
| 
 | |
| // returns a mini-FFT of 79 8-tone symbols.
 | |
| FFTEngine::ffts_t FT8::extract(const std::vector<float> &samples200, float, int off)
 | |
| {
 | |
| 
 | |
|     FFTEngine::ffts_t bins3 = fftEngine_->ffts(samples200, off, 32);
 | |
|     FFTEngine::ffts_t m79(79);
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         m79[si].resize(8);
 | |
| 
 | |
|         if (si < (int)bins3.size())
 | |
|         {
 | |
|             for (int bi = 0; bi < 8; bi++)
 | |
|             {
 | |
|                 auto x = bins3[si][4 + bi];
 | |
|                 m79[si][bi] = x;
 | |
|             }
 | |
|         }
 | |
|         else
 | |
|         {
 | |
|             for (int bi = 0; bi < 8; bi++) {
 | |
|                 m79[si][bi] = 0;
 | |
|             }
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return m79;
 | |
| }
 | |
| 
 | |
| //
 | |
| // m79 is a 79x8 array of complex.
 | |
| //
 | |
| FFTEngine::ffts_t FT8::un_gray_code_c(const FFTEngine::ffts_t &m79)
 | |
| {
 | |
|     FFTEngine::ffts_t m79a(79);
 | |
|     int map[] = {0, 1, 3, 2, 6, 4, 5, 7};
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         m79a[si].resize(8);
 | |
| 
 | |
|         for (int bi = 0; bi < 8; bi++) {
 | |
|             m79a[si][map[bi]] = m79[si][bi];
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return m79a;
 | |
| }
 | |
| 
 | |
| //
 | |
| // m79 is a 79x8 array of float.
 | |
| //
 | |
| std::vector<std::vector<float>> FT8::un_gray_code_r(const std::vector<std::vector<float>> &m79)
 | |
| {
 | |
|     std::vector<std::vector<float>> m79a(79);
 | |
|     int map[] = {0, 1, 3, 2, 6, 4, 5, 7};
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         m79a[si].resize(8);
 | |
| 
 | |
|         for (int bi = 0; bi < 8; bi++) {
 | |
|             m79a[si][map[bi]] = m79[si][bi];
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return m79a;
 | |
| }
 | |
| 
 | |
| //
 | |
| // Generic Gray decoding for magnitudes (floats)
 | |
| //
 | |
| std::vector<std::vector<float>> FT8::un_gray_code_r_gen(const std::vector<std::vector<float>> &mags)
 | |
| {
 | |
|     if (mags.size() == 0) {
 | |
|         return mags;
 | |
|     }
 | |
| 
 | |
|     std::vector<std::vector<float>> magsa(mags.size());
 | |
|     int nsyms = mags.front().size();
 | |
| 
 | |
|     for (unsigned int si = 0; si < mags.size(); si++)
 | |
|     {
 | |
|         magsa[si].resize(nsyms);
 | |
| 
 | |
|         for (int bini = 0; bini < nsyms; bini++)
 | |
|         {
 | |
|             int grayi = bini ^ (bini >> 1);
 | |
|             magsa[si][bini] = mags[si][grayi];
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return magsa;
 | |
| }
 | |
| 
 | |
| //
 | |
| // normalize levels by windowed median.
 | |
| // this helps, but why?
 | |
| //
 | |
| std::vector<std::vector<float>> FT8::convert_to_snr(const std::vector<std::vector<float>> &m79)
 | |
| {
 | |
|     if (params.snr_how < 0 || params.snr_win < 0) {
 | |
|         return m79;
 | |
|     }
 | |
| 
 | |
|     //
 | |
|     // for each symbol time, what's its "noise" level?
 | |
|     //
 | |
|     std::vector<float> mm(79);
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         std::vector<float> v(8);
 | |
|         float sum = 0.0;
 | |
| 
 | |
|         for (int bi = 0; bi < 8; bi++)
 | |
|         {
 | |
|             float x = m79[si][bi];
 | |
|             v[bi] = x;
 | |
|             sum += x;
 | |
|         }
 | |
| 
 | |
|         if (params.snr_how != 1) {
 | |
|             std::sort(v.begin(), v.end());
 | |
|         }
 | |
| 
 | |
|         if (params.snr_how == 0) {
 | |
|             // median
 | |
|             mm[si] = (v[3] + v[4]) / 2;
 | |
|         } else if (params.snr_how == 1) {
 | |
|             mm[si] = sum / 8;
 | |
|         } else if (params.snr_how == 2) {
 | |
|             // all but strongest tone.
 | |
|             mm[si] = (v[0] + v[1] + v[2] + v[3] + v[4] + v[5] + v[6]) / 7;
 | |
|         } else if (params.snr_how == 3) {
 | |
|             mm[si] = v[0]; // weakest tone
 | |
|         } else if (params.snr_how == 4) {
 | |
|             mm[si] = v[7]; // strongest tone
 | |
|         } else if (params.snr_how == 5) {
 | |
|             mm[si] = v[6]; // second-strongest tone
 | |
|         } else {
 | |
|             mm[si] = 1.0;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     // we're going to take a windowed average.
 | |
|     std::vector<float> winwin;
 | |
| 
 | |
|     if (params.snr_win > 0) {
 | |
|         winwin = blackman(2 * params.snr_win + 1);
 | |
|     } else {
 | |
|         winwin.push_back(1.0);
 | |
|     }
 | |
| 
 | |
|     std::vector<std::vector<float>> n79(79);
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         float sum = 0;
 | |
| 
 | |
|         for (int dd = si - params.snr_win; dd <= si + params.snr_win; dd++)
 | |
|         {
 | |
|             int wi = dd - (si - params.snr_win);
 | |
| 
 | |
|             if (dd >= 0 && dd < 79) {
 | |
|                 sum += mm[dd] * winwin[wi];
 | |
|             } else if (dd < 0) {
 | |
|                 sum += mm[0] * winwin[wi];
 | |
|             } else {
 | |
|                 sum += mm[78] * winwin[wi];
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         n79[si].resize(8);
 | |
| 
 | |
|         for (int bi = 0; bi < 8; bi++) {
 | |
|             n79[si][bi] = m79[si][bi] / sum;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return n79;
 | |
| }
 | |
| 
 | |
| //
 | |
| // normalize levels by windowed median.
 | |
| // this helps, but why?
 | |
| //
 | |
| std::vector<std::vector<std::complex<float>>> FT8::c_convert_to_snr(
 | |
|     const std::vector<std::vector<std::complex<float>>> &m79
 | |
| )
 | |
| {
 | |
|     if (params.snr_how < 0 || params.snr_win < 0) {
 | |
|         return m79;
 | |
|     }
 | |
| 
 | |
|     //
 | |
|     // for each symbol time, what's its "noise" level?
 | |
|     //
 | |
|     std::vector<float> mm(79);
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         std::vector<float> v(8);
 | |
|         float sum = 0.0;
 | |
| 
 | |
|         for (int bi = 0; bi < 8; bi++)
 | |
|         {
 | |
|             float x = std::abs(m79[si][bi]);
 | |
|             v[bi] = x;
 | |
|             sum += x;
 | |
|         }
 | |
| 
 | |
|         if (params.snr_how != 1) {
 | |
|             std::sort(v.begin(), v.end());
 | |
|         }
 | |
| 
 | |
|         if (params.snr_how == 0) {
 | |
|             // median
 | |
|             mm[si] = (v[3] + v[4]) / 2;
 | |
|         } else if (params.snr_how == 1) {
 | |
|             mm[si] = sum / 8;
 | |
|         } else if (params.snr_how == 2) {
 | |
|             // all but strongest tone.
 | |
|             mm[si] = (v[0] + v[1] + v[2] + v[3] + v[4] + v[5] + v[6]) / 7;
 | |
|         } else if (params.snr_how == 3) {
 | |
|             mm[si] = v[0]; // weakest tone
 | |
|         } else if (params.snr_how == 4) {
 | |
|             mm[si] = v[7]; // strongest tone
 | |
|         } else if (params.snr_how == 5) {
 | |
|             mm[si] = v[6]; // second-strongest tone
 | |
|         } else {
 | |
|             mm[si] = 1.0;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     // we're going to take a windowed average.
 | |
|     std::vector<float> winwin;
 | |
| 
 | |
|     if (params.snr_win > 0) {
 | |
|         winwin = blackman(2 * params.snr_win + 1);
 | |
|     } else {
 | |
|         winwin.push_back(1.0);
 | |
|     }
 | |
| 
 | |
|     std::vector<std::vector<std::complex<float>>> n79(79);
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         float sum = 0;
 | |
| 
 | |
|         for (int dd = si - params.snr_win; dd <= si + params.snr_win; dd++)
 | |
|         {
 | |
|             int wi = dd - (si - params.snr_win);
 | |
| 
 | |
|             if (dd >= 0 && dd < 79) {
 | |
|                 sum += mm[dd] * winwin[wi];
 | |
|             } else if (dd < 0) {
 | |
|                 sum += mm[0] * winwin[wi];
 | |
|             } else {
 | |
|                 sum += mm[78] * winwin[wi];
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         n79[si].resize(8);
 | |
| 
 | |
|         for (int bi = 0; bi < 8; bi++) {
 | |
|             n79[si][bi] = m79[si][bi] / sum;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return n79;
 | |
| }
 | |
| 
 | |
| std::vector<std::vector<float>> FT8::convert_to_snr_gen(const FT8Params& params, int nbSymbolBits, const std::vector<std::vector<float>> &mags)
 | |
| {
 | |
|     if (params.snr_how < 0 || params.snr_win < 0) {
 | |
|         return mags;
 | |
|     }
 | |
| 
 | |
|     //
 | |
|     // for each symbol time, what's its "noise" level?
 | |
|     //
 | |
|     std::vector<float> mm(mags.size());
 | |
|     int nbSymbols = 1<<nbSymbolBits;
 | |
| 
 | |
|     for (int si = 0; si < (int) mags.size(); si++)
 | |
|     {
 | |
|         std::vector<float> v(nbSymbols);
 | |
|         float sum = 0.0;
 | |
| 
 | |
|         for (int bini = 0; bini < nbSymbols; bini++)
 | |
|         {
 | |
|             float x = mags[si][bini];
 | |
|             v[bini] = x;
 | |
|             sum += x;
 | |
|         }
 | |
| 
 | |
|         if (params.snr_how != 1) {
 | |
|             std::sort(v.begin(), v.end());
 | |
|         }
 | |
| 
 | |
|         int mid = nbSymbols / 2;
 | |
| 
 | |
|         if (params.snr_how == 0) {
 | |
|             // median
 | |
|             mm[si] = (v[mid-1] + v[mid]) / 2;
 | |
|         } else if (params.snr_how == 1) {
 | |
|             mm[si] = sum / nbSymbols;
 | |
|         } else if (params.snr_how == 2) {
 | |
|             // all but strongest tone.
 | |
|             mm[si] = std::accumulate(v.begin(), v.end() - 1, 0.0f) / (v.size() - 1);
 | |
|         } else if (params.snr_how == 3) {
 | |
|             mm[si] = v.front(); // weakest tone
 | |
|         } else if (params.snr_how == 4) {
 | |
|             mm[si] = v.back(); // strongest tone
 | |
|         } else if (params.snr_how == 5) {
 | |
|             mm[si] = v[v.size()-2]; // second-strongest tone
 | |
|         } else {
 | |
|             mm[si] = 1.0;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     // we're going to take a windowed average.
 | |
|     std::vector<float> winwin;
 | |
| 
 | |
|     if (params.snr_win > 0) {
 | |
|         winwin = blackman(2 * params.snr_win + 1);
 | |
|     } else {
 | |
|         winwin.push_back(1.0);
 | |
|     }
 | |
| 
 | |
|     std::vector<std::vector<float>> snr(mags.size());
 | |
| 
 | |
|     for (int si = 0; si < (int) mags.size(); si++)
 | |
|     {
 | |
|         float sum = 0;
 | |
| 
 | |
|         for (int dd = si - params.snr_win; dd <= si + params.snr_win; dd++)
 | |
|         {
 | |
|             int wi = dd - (si - params.snr_win);
 | |
| 
 | |
|             if (dd >= 0 && dd < (int) mags.size()) {
 | |
|                 sum += mm[dd] * winwin[wi];
 | |
|             } else if (dd < 0) {
 | |
|                 sum += mm[0] * winwin[wi];
 | |
|             } else {
 | |
|                 sum += mm[mags.size()-1] * winwin[wi];
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         snr[si].resize(nbSymbols);
 | |
| 
 | |
|         for (int bi = 0; bi < nbSymbols; bi++) {
 | |
|             snr[si][bi] = mags[si][bi] / sum;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return snr;
 | |
| }
 | |
| 
 | |
| //
 | |
| // statistics to decide soft probabilities,
 | |
| // to drive LDPC decoder.
 | |
| // distribution of strongest tones, and
 | |
| // distribution of noise.
 | |
| //
 | |
| void FT8::make_stats(
 | |
|     const std::vector<std::vector<float>> &m79,
 | |
|     Stats &bests,
 | |
|     Stats &all
 | |
| )
 | |
| {
 | |
|     int costas[] = {3, 1, 4, 0, 6, 5, 2};
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         if (si < 7 || (si >= 36 && si < 36 + 7) || si >= 72)
 | |
|         {
 | |
|             // Costas.
 | |
|             int ci;
 | |
| 
 | |
|             if (si >= 72) {
 | |
|                 ci = si - 72;
 | |
|             } else if (si >= 36) {
 | |
|                 ci = si - 36;
 | |
|             } else {
 | |
|                 ci = si;
 | |
|             }
 | |
| 
 | |
|             for (int bi = 0; bi < 8; bi++)
 | |
|             {
 | |
|                 float x = m79[si][bi];
 | |
|                 all.add(x);
 | |
| 
 | |
|                 if (bi == costas[ci]) {
 | |
|                     bests.add(x);
 | |
|                 }
 | |
|             }
 | |
|         }
 | |
|         else
 | |
|         {
 | |
|             float mx = 0;
 | |
| 
 | |
|             for (int bi = 0; bi < 8; bi++)
 | |
|             {
 | |
|                 float x = m79[si][bi];
 | |
| 
 | |
|                 if (x > mx) {
 | |
|                     mx = x;
 | |
|                 }
 | |
| 
 | |
|                 all.add(x);
 | |
|             }
 | |
| 
 | |
|             bests.add(mx);
 | |
|         }
 | |
|     }
 | |
| }
 | |
| 
 | |
| //
 | |
| // generalized version of the above for any number of symbols and no Costas
 | |
| // used by FT-chirp decoder
 | |
| //
 | |
| void FT8::make_stats_gen(
 | |
|     const std::vector<std::vector<float>> &mags,
 | |
|     int nbSymbolBits,
 | |
|     Stats &bests,
 | |
|     Stats &all
 | |
| )
 | |
| {
 | |
|     int nbBins = 1<<nbSymbolBits;
 | |
| 
 | |
|     for (unsigned int si = 0; si < mags.size(); si++)
 | |
|     {
 | |
|         float mx = 0;
 | |
| 
 | |
|         for (int bi = 0; bi < nbBins; bi++)
 | |
|         {
 | |
|             float x = mags[si][bi];
 | |
| 
 | |
|             if (x > mx) {
 | |
|                 mx = x;
 | |
|             }
 | |
| 
 | |
|             all.add(x);
 | |
|         }
 | |
| 
 | |
|         bests.add(mx);
 | |
|     }
 | |
| }
 | |
| 
 | |
| //
 | |
| // convert 79x8 complex FFT bins to magnitudes.
 | |
| //
 | |
| // exploits local phase coherence by decreasing magnitudes of bins
 | |
| // whose phase is far from the phases of nearby strongest tones.
 | |
| //
 | |
| // relies on each tone being reasonably well centered in its FFT bin
 | |
| // (in time and frequency) so that each tone completes an integer
 | |
| // number of cycles and thus preserves phase from one symbol to the
 | |
| // next.
 | |
| //
 | |
| std::vector<std::vector<float>> FT8::soft_c2m(const FFTEngine::ffts_t &c79)
 | |
| {
 | |
|     std::vector<std::vector<float>> m79(79);
 | |
|     std::vector<float> raw_phases(79); // of strongest tone in each symbol time
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         m79[si].resize(8);
 | |
|         int mxi = -1;
 | |
|         float mx;
 | |
|         float mx_phase;
 | |
| 
 | |
|         for (int bi = 0; bi < 8; bi++)
 | |
|         {
 | |
|             float x = std::abs(c79[si][bi]);
 | |
|             m79[si][bi] = x;
 | |
| 
 | |
|             if (mxi < 0 || x > mx)
 | |
|             {
 | |
|                 mxi = bi;
 | |
|                 mx = x;
 | |
|                 mx_phase = std::arg(c79[si][bi]); // -pi .. pi
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         raw_phases[si] = mx_phase;
 | |
|     }
 | |
| 
 | |
|     if (params.soft_phase_win <= 0) {
 | |
|         return m79;
 | |
|     }
 | |
| 
 | |
|     // phase around each symbol.
 | |
|     std::vector<float> phases(79);
 | |
| 
 | |
|     // for each symbol time, median of nearby phases
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         std::vector<float> v;
 | |
| 
 | |
|         for (int si1 = si - params.soft_phase_win; si1 <= si + params.soft_phase_win; si1++)
 | |
|         {
 | |
|             if (si1 >= 0 && si1 < 79)
 | |
|             {
 | |
|                 float x = raw_phases[si1];
 | |
|                 v.push_back(x);
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         // choose the phase that has the lowest total distance to other
 | |
|         // phases. like median but avoids -pi..pi wrap-around.
 | |
|         int n = v.size();
 | |
|         int best = -1;
 | |
|         float best_score = 0;
 | |
|         for (int i = 0; i < n; i++)
 | |
| 
 | |
|         {
 | |
|             float score = 0;
 | |
| 
 | |
|             for (int j = 0; j < n; j++)
 | |
|             {
 | |
|                 if (i == j) {
 | |
|                     continue;
 | |
|                 }
 | |
| 
 | |
|                 float d = fabs(v[i] - v[j]);
 | |
| 
 | |
|                 if (d > M_PI) {
 | |
|                     d = 2 * M_PI - d;
 | |
|                 }
 | |
| 
 | |
|                 score += d;
 | |
|             }
 | |
| 
 | |
|             if (best == -1 || score < best_score)
 | |
|             {
 | |
|                 best = i;
 | |
|                 best_score = score;
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         phases[si] = v[best];
 | |
|     }
 | |
| 
 | |
|     // project each tone against the median phase around that symbol time.
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         for (int bi = 0; bi < 8; bi++)
 | |
|         {
 | |
|             float mag = std::abs(c79[si][bi]);
 | |
|             float angle = std::arg(c79[si][bi]);
 | |
|             float d = angle - phases[si];
 | |
|             float factor = 0.1;
 | |
| 
 | |
|             if (d < M_PI / 2 && d > -M_PI / 2) {
 | |
|                 factor = cos(d);
 | |
|             }
 | |
| 
 | |
|             m79[si][bi] = factor * mag;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return m79;
 | |
| }
 | |
| 
 | |
| //
 | |
| // guess the probability that a bit is zero vs one,
 | |
| // based on strengths of strongest tones that would
 | |
| // give it those values. for soft LDPC decoding.
 | |
| //
 | |
| // returns log-likelihood, zero is positive, one is negative.
 | |
| //
 | |
| float FT8::bayes(
 | |
|     FT8Params& params,
 | |
|     float best_zero,
 | |
|     float best_one,
 | |
|     int lli,
 | |
|     Stats &bests,
 | |
|     Stats &all
 | |
| )
 | |
| {
 | |
|     float maxlog = 4.97;
 | |
|     float ll = 0;
 | |
|     float pzero = 0.5;
 | |
|     float pone = 0.5;
 | |
| 
 | |
|     if (params.use_apriori)
 | |
|     {
 | |
|         pzero = 1.0 - apriori174[lli];
 | |
|         pone = apriori174[lli];
 | |
|     }
 | |
| 
 | |
|     //
 | |
|     // Bayes combining rule normalization from:
 | |
|     // http://cs.wellesley.edu/~anderson/writing/naive-bayes.pdf
 | |
|     //
 | |
|     // a = P(zero)P(e0|zero)P(e1|zero)
 | |
|     // b = P(one)P(e0|one)P(e1|one)
 | |
|     // p = a / (a + b)
 | |
|     //
 | |
|     // also see Mark Owen's book Practical Signal Processing,
 | |
|     // Chapter 6.
 | |
|     //
 | |
| 
 | |
|     // zero
 | |
|     float a = pzero * bests.problt(best_zero) * (1.0 - all.problt(best_one));
 | |
|     // printf("FT8::bayes: a: %f bp: %f ap: %f \n", a, bests.problt(best_zero), all.problt(best_one));
 | |
| 
 | |
|     if (params.bayes_how == 1) {
 | |
|         a *= all.problt(all.mean() + (best_zero - best_one));
 | |
|     }
 | |
| 
 | |
|     // one
 | |
|     float b = pone * bests.problt(best_one) * (1.0 - all.problt(best_zero));
 | |
|     // printf("FT8::bayes: b: %f bp: %f ap: %f \n", b, bests.problt(best_one), all.problt(best_zero));
 | |
| 
 | |
|     if (params.bayes_how == 1) {
 | |
|         b *= all.problt(all.mean() + (best_one - best_zero));
 | |
|     }
 | |
| 
 | |
|     float p;
 | |
| 
 | |
|     if (a + b == 0) {
 | |
|         p = 0.5;
 | |
|     } else {
 | |
|         p = a / (a + b);
 | |
|     }
 | |
| 
 | |
|     // printf("FT8::bayes: all.mean: %f a: %f b: %f p: %f\n", all.mean(), a, b, p);
 | |
| 
 | |
|     if (1 - p == 0.0) {
 | |
|         ll = maxlog;
 | |
|     } else {
 | |
|         ll = log(p / (1 - p));
 | |
|     }
 | |
| 
 | |
|     if (ll > maxlog) {
 | |
|         ll = maxlog;
 | |
|     }
 | |
| 
 | |
|     if (ll < -maxlog) {
 | |
|         ll = -maxlog;
 | |
|     }
 | |
| 
 | |
|     return ll;
 | |
| }
 | |
| 
 | |
| //
 | |
| // c79 is 79x8 complex tones, before un-gray-coding.
 | |
| //
 | |
| void FT8::soft_decode(const FFTEngine::ffts_t &c79, float ll174[])
 | |
| {
 | |
|     std::vector<std::vector<float>> m79(79);
 | |
|     // m79 = absolute values of c79.
 | |
|     // still pre-un-gray-coding so we know which
 | |
|     // are the correct Costas tones.
 | |
|     m79 = soft_c2m(c79);
 | |
|     m79 = convert_to_snr(m79);
 | |
|     // statistics to decide soft probabilities.
 | |
|     // distribution of strongest tones, and
 | |
|     // distribution of noise.
 | |
|     Stats bests(params.problt_how_sig, params.log_tail, params.log_rate);
 | |
|     Stats all(params.problt_how_noise, params.log_tail, params.log_rate);
 | |
|     make_stats(m79, bests, all);
 | |
|     m79 = un_gray_code_r(m79);
 | |
|     int lli = 0;
 | |
| 
 | |
|     // tone numbers that make second index bit zero or one.
 | |
|     int zeroi[4][3];
 | |
|     int onei[4][3];
 | |
| 
 | |
|     for (int biti = 0; biti < 3; biti++)
 | |
|     {
 | |
|         if (biti == 0)
 | |
|         {
 | |
|             // high bit
 | |
|             zeroi[0][0] = 0;
 | |
|             zeroi[1][0] = 1;
 | |
|             zeroi[2][0] = 2;
 | |
|             zeroi[3][0] = 3;
 | |
|             onei[0][0] = 4;
 | |
|             onei[1][0] = 5;
 | |
|             onei[2][0] = 6;
 | |
|             onei[3][0] = 7;
 | |
|         }
 | |
| 
 | |
|         if (biti == 1)
 | |
|         {
 | |
|             // middle bit
 | |
|             zeroi[0][1] = 0;
 | |
|             zeroi[1][1] = 1;
 | |
|             zeroi[2][1] = 4;
 | |
|             zeroi[3][1] = 5;
 | |
|             onei[0][1] = 2;
 | |
|             onei[1][1] = 3;
 | |
|             onei[2][1] = 6;
 | |
|             onei[3][1] = 7;
 | |
|         }
 | |
| 
 | |
|         if (biti == 2)
 | |
|         {
 | |
|             // low bit
 | |
|             zeroi[0][2] = 0;
 | |
|             zeroi[1][2] = 2;
 | |
|             zeroi[2][2] = 4;
 | |
|             zeroi[3][2] = 6;
 | |
|             onei[0][2] = 1;
 | |
|             onei[1][2] = 3;
 | |
|             onei[2][2] = 5;
 | |
|             onei[3][2] = 7;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     for (int i79 = 0; i79 < 79; i79++)
 | |
|     {
 | |
|         if (i79 < 7 || (i79 >= 36 && i79 < 36 + 7) || i79 >= 72) {
 | |
|             // Costas, skip
 | |
|             continue;
 | |
|         }
 | |
| 
 | |
|         // for each of the three bits, look at the strongest tone
 | |
|         // that would make it a zero, and the strongest tone that
 | |
|         // would make it a one. use Bayes to decide which is more
 | |
|         // likely, comparing each against the distribution of noise
 | |
|         // and the distribution of strongest tones.
 | |
|         // most-significant-bit first.
 | |
| 
 | |
|         for (int biti = 0; biti < 3; biti++)
 | |
|         {
 | |
|             // strongest tone that would make this bit be zero.
 | |
|             int got_best_zero = 0;
 | |
|             float best_zero = 0;
 | |
| 
 | |
|             for (int i = 0; i < 4; i++)
 | |
|             {
 | |
|                 float x = m79[i79][zeroi[i][biti]];
 | |
| 
 | |
|                 if (got_best_zero == 0 || x > best_zero)
 | |
|                 {
 | |
|                     got_best_zero = 1;
 | |
|                     best_zero = x;
 | |
|                 }
 | |
|             }
 | |
| 
 | |
|             // strongest tone that would make this bit be one.
 | |
|             int got_best_one = 0;
 | |
|             float best_one = 0;
 | |
| 
 | |
|             for (int i = 0; i < 4; i++)
 | |
|             {
 | |
|                 float x = m79[i79][onei[i][biti]];
 | |
|                 if (got_best_one == 0 || x > best_one)
 | |
|                 {
 | |
|                     got_best_one = 1;
 | |
|                     best_one = x;
 | |
|                 }
 | |
|             }
 | |
| 
 | |
|             float ll = bayes(params, best_zero, best_one, lli, bests, all);
 | |
|             ll174[lli++] = ll;
 | |
|         }
 | |
|     }
 | |
|     // assert(lli == 174);
 | |
| }
 | |
| 
 | |
| //
 | |
| // mags is the vector of 2^nbSymbolBits vector of magnitudes at each symbol time
 | |
| // ll174 is the resulting 174 soft bits of payload
 | |
| // used in FT-chirp modulation scheme - generalized to any number of symbol bits
 | |
| //
 | |
| void FT8::soft_decode_mags(FT8Params& params, const std::vector<std::vector<float>>& mags_, int nbSymbolBits, float ll174[])
 | |
| {
 | |
|     std::vector<std::vector<float>> mags = convert_to_snr_gen(params, nbSymbolBits, mags_);
 | |
|     // statistics to decide soft probabilities.
 | |
|     // distribution of strongest tones, and
 | |
|     // distribution of noise.
 | |
|     Stats bests(params.problt_how_sig, params.log_tail, params.log_rate);
 | |
|     Stats all(params.problt_how_noise, params.log_tail, params.log_rate);
 | |
|     make_stats_gen(mags, nbSymbolBits, bests, all);
 | |
|     mags = un_gray_code_r_gen(mags);
 | |
|     int lli = 0;
 | |
|     int zoX = 1<<(nbSymbolBits-1);
 | |
|     int zoY = nbSymbolBits;
 | |
|     int *zeroi = new int[zoX*zoY];
 | |
|     int *onei = new int[zoX*zoY];
 | |
| 
 | |
|     for (int biti = 0; biti < nbSymbolBits; biti++)
 | |
|     {
 | |
|         int i = biti * zoX;
 | |
|         set_ones_zeroes(&onei[i], &zeroi[i], nbSymbolBits, biti);
 | |
|     }
 | |
| 
 | |
|     for (unsigned int si = 0; si < mags.size(); si++)
 | |
|     {
 | |
|         // for each of the symbol bits, look at the strongest tone
 | |
|         // that would make it a zero, and the strongest tone that
 | |
|         // would make it a one. use Bayes to decide which is more
 | |
|         // likely, comparing each against the distribution of noise
 | |
|         // and the distribution of strongest tones.
 | |
|         // most-significant-bit first.
 | |
|         for (int biti = nbSymbolBits - 1; biti >= 0; biti--)
 | |
|         {
 | |
|             // strongest tone that would make this bit be zero.
 | |
|             int got_best_zero = 0;
 | |
|             float best_zero = 0;
 | |
| 
 | |
|             for (int i = 0; i < 1<<(nbSymbolBits-1); i++)
 | |
|             {
 | |
|                 float x = mags[si][zeroi[i+biti*zoX]];
 | |
|                 // printf("FT8::soft_decode_mags:: biti: %d i: %d zeroi: %d x: %f best_zero: %f\n", biti, i, zeroi[i+biti*zoX], x, best_zero);
 | |
| 
 | |
|                 if (got_best_zero == 0 || x > best_zero)
 | |
|                 {
 | |
|                     got_best_zero = 1;
 | |
|                     best_zero = x;
 | |
|                 }
 | |
|             }
 | |
| 
 | |
|             // strongest tone that would make this bit be one.
 | |
|             int got_best_one = 0;
 | |
|             float best_one = 0;
 | |
| 
 | |
|             for (int i = 0; i < 1<<(nbSymbolBits-1); i++)
 | |
|             {
 | |
|                 float x = mags[si][onei[i+biti*zoX]];
 | |
|                 // printf("FT8::soft_decode_mags:: biti: %d i: %d onei: %d x: %f best_one: %f\n", biti, i, onei[i+biti*zoX], x, best_one);
 | |
| 
 | |
|                 if (got_best_one == 0 || x > best_one)
 | |
|                 {
 | |
|                     got_best_one = 1;
 | |
|                     best_one = x;
 | |
|                 }
 | |
|             }
 | |
| 
 | |
|             // printf("FT8::soft_decode_mags: biti: %d best_zero: %f best_one: %f\n", biti, best_zero, best_one);
 | |
| 
 | |
|             float ll = bayes(params, best_zero, best_one, lli, bests, all);
 | |
|             ll174[lli++] = ll;
 | |
|         }
 | |
|     }
 | |
| }
 | |
| 
 | |
| //
 | |
| // c79 is 79x8 complex tones, before un-gray-coding.
 | |
| //
 | |
| void FT8::c_soft_decode(const FFTEngine::ffts_t &c79x, float ll174[])
 | |
| {
 | |
|     FFTEngine::ffts_t c79 = c_convert_to_snr(c79x);
 | |
|     int costas[] = {3, 1, 4, 0, 6, 5, 2};
 | |
|     std::complex<float> maxes[79];
 | |
| 
 | |
|     for (int i = 0; i < 79; i++)
 | |
|     {
 | |
|         std::complex<float> m;
 | |
| 
 | |
|         if (i < 7)
 | |
|         {
 | |
|             // Costas.
 | |
|             m = c79[i][costas[i]];
 | |
|         }
 | |
|         else if (i >= 36 && i < 36 + 7)
 | |
|         {
 | |
|             // Costas.
 | |
|             m = c79[i][costas[i - 36]];
 | |
|         }
 | |
|         else if (i >= 72)
 | |
|         {
 | |
|             // Costas.
 | |
|             m = c79[i][costas[i - 72]];
 | |
|         }
 | |
|         else
 | |
|         {
 | |
|             int got = 0;
 | |
| 
 | |
|             for (int j = 0; j < 8; j++)
 | |
|             {
 | |
|                 if (got == 0 || std::abs(c79[i][j]) > std::abs(m))
 | |
|                 {
 | |
|                     got = 1;
 | |
|                     m = c79[i][j];
 | |
|                 }
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         maxes[i] = m;
 | |
|     }
 | |
| 
 | |
|     std::vector<std::vector<float>> m79(79);
 | |
| 
 | |
|     for (int i = 0; i < 79; i++)
 | |
|     {
 | |
|         m79[i].resize(8);
 | |
| 
 | |
|         for (int j = 0; j < 8; j++)
 | |
|         {
 | |
|             std::complex<float> c = c79[i][j];
 | |
|             int n = 0;
 | |
|             float sum = 0;
 | |
| 
 | |
|             for (int k = i - params.c_soft_win; k <= i + params.c_soft_win; k++)
 | |
|             {
 | |
|                 if (k < 0 || k >= 79) {
 | |
|                     continue;
 | |
|                 }
 | |
| 
 | |
|                 if (k == i)
 | |
|                 {
 | |
|                     sum -= params.c_soft_weight * std::abs(c);
 | |
|                 }
 | |
|                 else
 | |
|                 {
 | |
|                     // we're expecting all genuine tones to have
 | |
|                     // about the same phase and magnitude.
 | |
|                     // so set m79[i][j] to the distance from the
 | |
|                     // phase/magnitude predicted by surrounding
 | |
|                     // genuine-looking tones.
 | |
|                     std::complex<float> c1 = maxes[k];
 | |
|                     std::complex<float> d = c1 - c;
 | |
|                     sum += std::abs(d);
 | |
|                 }
 | |
| 
 | |
|                 n += 1;
 | |
|             }
 | |
| 
 | |
|             m79[i][j] = 0 - (sum / n);
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     // statistics to decide soft probabilities.
 | |
|     // distribution of strongest tones, and
 | |
|     // distribution of noise.
 | |
|     Stats bests(params.problt_how_sig, params.log_tail, params.log_rate);
 | |
|     Stats all(params.problt_how_noise, params.log_tail, params.log_rate);
 | |
|     make_stats(m79, bests, all);
 | |
|     m79 = un_gray_code_r(m79);
 | |
|     int lli = 0;
 | |
| 
 | |
|     // tone numbers that make second index bit zero or one.
 | |
|     int zeroi[4][3];
 | |
|     int onei[4][3];
 | |
| 
 | |
|     for (int biti = 0; biti < 3; biti++)
 | |
|     {
 | |
|         if (biti == 0)
 | |
|         {
 | |
|             // high bit
 | |
|             zeroi[0][0] = 0;
 | |
|             zeroi[1][0] = 1;
 | |
|             zeroi[2][0] = 2;
 | |
|             zeroi[3][0] = 3;
 | |
|             onei[0][0] = 4;
 | |
|             onei[1][0] = 5;
 | |
|             onei[2][0] = 6;
 | |
|             onei[3][0] = 7;
 | |
|         }
 | |
| 
 | |
|         if (biti == 1)
 | |
|         {
 | |
|             // middle bit
 | |
|             zeroi[0][1] = 0;
 | |
|             zeroi[1][1] = 1;
 | |
|             zeroi[2][1] = 4;
 | |
|             zeroi[3][1] = 5;
 | |
|             onei[0][1] = 2;
 | |
|             onei[1][1] = 3;
 | |
|             onei[2][1] = 6;
 | |
|             onei[3][1] = 7;
 | |
|         }
 | |
| 
 | |
|         if (biti == 2)
 | |
|         {
 | |
|             // low bit
 | |
|             zeroi[0][2] = 0;
 | |
|             zeroi[1][2] = 2;
 | |
|             zeroi[2][2] = 4;
 | |
|             zeroi[3][2] = 6;
 | |
|             onei[0][2] = 1;
 | |
|             onei[1][2] = 3;
 | |
|             onei[2][2] = 5;
 | |
|             onei[3][2] = 7;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     for (int i79 = 0; i79 < 79; i79++)
 | |
|     {
 | |
|         if (i79 < 7 || (i79 >= 36 && i79 < 36 + 7) || i79 >= 72) {
 | |
|             // Costas, skip
 | |
|             continue;
 | |
|         }
 | |
| 
 | |
|         // for each of the three bits, look at the strongest tone
 | |
|         // that would make it a zero, and the strongest tone that
 | |
|         // would make it a one. use Bayes to decide which is more
 | |
|         // likely, comparing each against the distribution of noise
 | |
|         // and the distribution of strongest tones.
 | |
|         // most-significant-bit first.
 | |
| 
 | |
|         for (int biti = 0; biti < 3; biti++)
 | |
|         {
 | |
|             // strongest tone that would make this bit be zero.
 | |
|             int got_best_zero = 0;
 | |
|             float best_zero = 0;
 | |
| 
 | |
|             for (int i = 0; i < 4; i++)
 | |
|             {
 | |
|                 float x = m79[i79][zeroi[i][biti]];
 | |
| 
 | |
|                 if (got_best_zero == 0 || x > best_zero)
 | |
|                 {
 | |
|                     got_best_zero = 1;
 | |
|                     best_zero = x;
 | |
|                 }
 | |
|             }
 | |
| 
 | |
|             // strongest tone that would make this bit be one.
 | |
|             int got_best_one = 0;
 | |
|             float best_one = 0;
 | |
| 
 | |
|             for (int i = 0; i < 4; i++)
 | |
|             {
 | |
|                 float x = m79[i79][onei[i][biti]];
 | |
| 
 | |
|                 if (got_best_one == 0 || x > best_one)
 | |
|                 {
 | |
|                     got_best_one = 1;
 | |
|                     best_one = x;
 | |
|                 }
 | |
|             }
 | |
| 
 | |
|             float ll = bayes(params, best_zero, best_one, lli, bests, all);
 | |
|             ll174[lli++] = ll;
 | |
|         }
 | |
|     }
 | |
|     // assert(lli == 174);
 | |
| }
 | |
| 
 | |
| //
 | |
| // set ones and zero symbol indexes. Bit index is LSB
 | |
| //
 | |
| void FT8::set_ones_zeroes(int ones[], int zeroes[], int nbBits, int bitIndex)
 | |
| {
 | |
|     int nbIndexes = 1 << (nbBits - 1);
 | |
| 
 | |
|     if (bitIndex == 0)
 | |
|     {
 | |
|         for (int i = 0; i < nbIndexes; i++)
 | |
|         {
 | |
|             zeroes[i] = i<<1;
 | |
|             ones[i] = zeroes[i] | 1;
 | |
|         }
 | |
|     }
 | |
|     else if (bitIndex == nbBits - 1)
 | |
|     {
 | |
|         for (int i = 0; i < nbIndexes; i++)
 | |
|         {
 | |
|             zeroes[i] = i;
 | |
|             ones[i] = (1<<(nbBits-1)) | zeroes[i];
 | |
|         }
 | |
|     }
 | |
|     else
 | |
|     {
 | |
|         int mask = (1<<nbBits) - 1;
 | |
|         int maskLow = (1<<bitIndex) - 1;
 | |
|         int maskHigh = mask ^ maskLow;
 | |
| 
 | |
|         for (int i = 0; i < nbIndexes; i++)
 | |
|         {
 | |
|             zeroes[i] = (i & maskLow) + ((i & maskHigh)<<1);
 | |
|             ones[i] = zeroes[i] + (1<<bitIndex);
 | |
|         }
 | |
|     }
 | |
| }
 | |
| 
 | |
| //
 | |
| // turn 79 symbol numbers into 174 bits.
 | |
| // strip out the three Costas sync blocks,
 | |
| // leaving 58 symbol numbers.
 | |
| // each represents three bits.
 | |
| // (all post-un-gray-code).
 | |
| // str is per-symbol strength; must be positive.
 | |
| // each returned element is < 0 for 1, > 0 for zero,
 | |
| // scaled by str.
 | |
| //
 | |
| std::vector<float> FT8::extract_bits(const std::vector<int> &syms, const std::vector<float> str)
 | |
| {
 | |
|     // assert(syms.size() == 79);
 | |
|     // assert(str.size() == 79);
 | |
| 
 | |
|     std::vector<float> bits;
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         if (si < 7 || (si >= 36 && si < 36 + 7) || si >= 72)
 | |
|         {
 | |
|             // costas -- skip
 | |
|         }
 | |
|         else
 | |
|         {
 | |
|             bits.push_back((syms[si] & 4) == 0 ? str[si] : -str[si]);
 | |
|             bits.push_back((syms[si] & 2) == 0 ? str[si] : -str[si]);
 | |
|             bits.push_back((syms[si] & 1) == 0 ? str[si] : -str[si]);
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return bits;
 | |
| }
 | |
| 
 | |
| // decode successive pairs of symbols. exploits the likelyhood
 | |
| // that they have the same phase, by summing the complex
 | |
| // correlations for each possible pair and using the max.
 | |
| void FT8::soft_decode_pairs(
 | |
|     const FFTEngine::ffts_t &m79x,
 | |
|     float ll174[]
 | |
| )
 | |
| {
 | |
|     FFTEngine::ffts_t m79 = c_convert_to_snr(m79x);
 | |
| 
 | |
|     struct BitInfo
 | |
|     {
 | |
|         float zero; // strongest correlation that makes it zero
 | |
|         float one;  // and one
 | |
|     };
 | |
| 
 | |
|     std::vector<BitInfo> bitinfo(79 * 3);
 | |
| 
 | |
|     for (int i = 0; i < (int)bitinfo.size(); i++)
 | |
|     {
 | |
|         bitinfo[i].zero = 0;
 | |
|         bitinfo[i].one = 0;
 | |
|     }
 | |
| 
 | |
|     Stats all(params.problt_how_noise, params.log_tail, params.log_rate);
 | |
|     Stats bests(params.problt_how_sig, params.log_tail, params.log_rate);
 | |
|     int map[] = {0, 1, 3, 2, 6, 4, 5, 7}; // un-gray-code
 | |
| 
 | |
|     for (int si = 0; si < 79; si += 2)
 | |
|     {
 | |
|         float mx = 0;
 | |
|         float corrs[8 * 8];
 | |
| 
 | |
|         for (int s1 = 0; s1 < 8; s1++)
 | |
|         {
 | |
|             for (int s2 = 0; s2 < 8; s2++)
 | |
|             {
 | |
|                 // sum up the correlations.
 | |
|                 std::complex<float> csum = m79[si][s1];
 | |
| 
 | |
|                 if (si + 1 < 79) {
 | |
|                     csum += m79[si + 1][s2];
 | |
|                 }
 | |
| 
 | |
|                 float x = std::abs(csum);
 | |
|                 corrs[s1 * 8 + s2] = x;
 | |
| 
 | |
|                 if (x > mx) {
 | |
|                     mx = x;
 | |
|                 }
 | |
| 
 | |
|                 all.add(x);
 | |
|                 // first symbol
 | |
|                 int i = map[s1];
 | |
| 
 | |
|                 for (int bit = 0; bit < 3; bit++)
 | |
|                 {
 | |
|                     int bitind = (si + 0) * 3 + (2 - bit);
 | |
| 
 | |
|                     if ((i & (1 << bit)))
 | |
|                     {
 | |
|                         // symbol i would make this bit a one.
 | |
|                         if (x > bitinfo[bitind].one) {
 | |
|                             bitinfo[bitind].one = x;
 | |
|                         }
 | |
|                     }
 | |
|                     else
 | |
|                     {
 | |
|                         // symbol i would make this bit a zero.
 | |
|                         if (x > bitinfo[bitind].zero) {
 | |
|                             bitinfo[bitind].zero = x;
 | |
|                         }
 | |
|                     }
 | |
|                 }
 | |
| 
 | |
|                 // second symbol
 | |
|                 if (si + 1 < 79)
 | |
|                 {
 | |
|                     i = map[s2];
 | |
| 
 | |
|                     for (int bit = 0; bit < 3; bit++)
 | |
|                     {
 | |
|                         int bitind = (si + 1) * 3 + (2 - bit);
 | |
| 
 | |
|                         if ((i & (1 << bit)))
 | |
|                         {
 | |
|                             // symbol i would make this bit a one.
 | |
|                             if (x > bitinfo[bitind].one) {
 | |
|                                 bitinfo[bitind].one = x;
 | |
|                             }
 | |
|                         }
 | |
|                         else
 | |
|                         {
 | |
|                             // symbol i would make this bit a zero.
 | |
|                             if (x > bitinfo[bitind].zero) {
 | |
|                                 bitinfo[bitind].zero = x;
 | |
|                             }
 | |
|                         }
 | |
|                     }
 | |
|                 }
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         if (si == 0 || si == 36 || si == 72) {
 | |
|             bests.add(corrs[3 * 8 + 1]);
 | |
|         } else if (si == 2 || si == 38 || si == 74) {
 | |
|             bests.add(corrs[4 * 8 + 0]);
 | |
|         } else if (si == 4 || si == 40 || si == 76) {
 | |
|             bests.add(corrs[6 * 8 + 5]);
 | |
|         } else {
 | |
|             bests.add(mx);
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     int lli = 0;
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         if (si < 7 || (si >= 36 && si < 36 + 7) || si >= 72) {
 | |
|             // costas
 | |
|             continue;
 | |
|         }
 | |
| 
 | |
|         for (int i = 0; i < 3; i++)
 | |
|         {
 | |
|             float best_zero = bitinfo[si * 3 + i].zero;
 | |
|             float best_one = bitinfo[si * 3 + i].one;
 | |
|             // ll174[lli++] = best_zero > best_one ? 4.99 : -4.99;
 | |
|             float ll = bayes(params, best_zero, best_one, lli, bests, all);
 | |
|             ll174[lli++] = ll;
 | |
|         }
 | |
|     }
 | |
|     // assert(lli == 174);
 | |
| }
 | |
| 
 | |
| void FT8::soft_decode_triples(
 | |
|     const FFTEngine::ffts_t &m79x,
 | |
|     float ll174[]
 | |
| )
 | |
| {
 | |
|     FFTEngine::ffts_t m79 = c_convert_to_snr(m79x);
 | |
| 
 | |
|     struct BitInfo
 | |
|     {
 | |
|         float zero; // strongest correlation that makes it zero
 | |
|         float one;  // and one
 | |
|     };
 | |
| 
 | |
|     std::vector<BitInfo> bitinfo(79 * 3);
 | |
| 
 | |
|     for (int i = 0; i < (int)bitinfo.size(); i++)
 | |
|     {
 | |
|         bitinfo[i].zero = 0;
 | |
|         bitinfo[i].one = 0;
 | |
|     }
 | |
| 
 | |
|     Stats all(params.problt_how_noise, params.log_tail, params.log_rate);
 | |
|     Stats bests(params.problt_how_sig, params.log_tail, params.log_rate);
 | |
| 
 | |
|     int map[] = {0, 1, 3, 2, 6, 4, 5, 7}; // un-gray-code
 | |
| 
 | |
|     for (int si = 0; si < 79; si += 3)
 | |
|     {
 | |
|         float mx = 0;
 | |
|         float corrs[8 * 8 * 8];
 | |
| 
 | |
|         for (int s1 = 0; s1 < 8; s1++)
 | |
|         {
 | |
|             for (int s2 = 0; s2 < 8; s2++)
 | |
|             {
 | |
|                 for (int s3 = 0; s3 < 8; s3++)
 | |
|                 {
 | |
|                     std::complex<float> csum = m79[si][s1];
 | |
| 
 | |
|                     if (si + 1 < 79) {
 | |
|                         csum += m79[si + 1][s2];
 | |
|                     }
 | |
| 
 | |
|                     if (si + 2 < 79) {
 | |
|                         csum += m79[si + 2][s3];
 | |
|                     }
 | |
| 
 | |
|                     float x = std::abs(csum);
 | |
|                     corrs[s1 * 64 + s2 * 8 + s3] = x;
 | |
| 
 | |
|                     if (x > mx) {
 | |
|                         mx = x;
 | |
|                     }
 | |
| 
 | |
|                     all.add(x);
 | |
|                     // first symbol
 | |
|                     int i = map[s1];
 | |
| 
 | |
|                     for (int bit = 0; bit < 3; bit++)
 | |
|                     {
 | |
|                         int bitind = (si + 0) * 3 + (2 - bit);
 | |
| 
 | |
|                         if ((i & (1 << bit)))
 | |
|                         {
 | |
|                             // symbol i would make this bit a one.
 | |
|                             if (x > bitinfo[bitind].one) {
 | |
|                                 bitinfo[bitind].one = x;
 | |
|                             }
 | |
|                         }
 | |
|                         else
 | |
|                         {
 | |
|                             // symbol i would make this bit a zero.
 | |
|                             if (x > bitinfo[bitind].zero) {
 | |
|                                 bitinfo[bitind].zero = x;
 | |
|                             }
 | |
|                         }
 | |
|                     }
 | |
| 
 | |
|                     // second symbol
 | |
|                     if (si + 1 < 79)
 | |
|                     {
 | |
|                         i = map[s2];
 | |
| 
 | |
|                         for (int bit = 0; bit < 3; bit++)
 | |
|                         {
 | |
|                             int bitind = (si + 1) * 3 + (2 - bit);
 | |
| 
 | |
|                             if ((i & (1 << bit)))
 | |
|                             {
 | |
|                                 // symbol i would make this bit a one.
 | |
|                                 if (x > bitinfo[bitind].one) {
 | |
|                                     bitinfo[bitind].one = x;
 | |
|                                 }
 | |
|                             }
 | |
|                             else
 | |
|                             {
 | |
|                                 // symbol i would make this bit a zero.
 | |
|                                 if (x > bitinfo[bitind].zero) {
 | |
|                                     bitinfo[bitind].zero = x;
 | |
|                                 }
 | |
|                             }
 | |
|                         }
 | |
|                     }
 | |
| 
 | |
|                     // third symbol
 | |
|                     if (si + 2 < 79)
 | |
|                     {
 | |
|                         i = map[s3];
 | |
| 
 | |
|                         for (int bit = 0; bit < 3; bit++)
 | |
|                         {
 | |
|                             int bitind = (si + 2) * 3 + (2 - bit);
 | |
| 
 | |
|                             if ((i & (1 << bit)))
 | |
|                             {
 | |
|                                 // symbol i would make this bit a one.
 | |
|                                 if (x > bitinfo[bitind].one) {
 | |
|                                     bitinfo[bitind].one = x;
 | |
|                                 }
 | |
|                             }
 | |
|                             else
 | |
|                             {
 | |
|                                 // symbol i would make this bit a zero.
 | |
|                                 if (x > bitinfo[bitind].zero) {
 | |
|                                     bitinfo[bitind].zero = x;
 | |
|                                 }
 | |
|                             }
 | |
|                         }
 | |
|                     }
 | |
|                 }
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         // costas: 3, 1, 4, 0, 6, 5, 2
 | |
|         if (si == 0 || si == 36 || si == 72) {
 | |
|             bests.add(corrs[3 * 64 + 1 * 8 + 4]);
 | |
|         } else if (si == 3 || si == 39 || si == 75) {
 | |
|             bests.add(corrs[0 * 64 + 6 * 8 + 5]);
 | |
|         } else {
 | |
|             bests.add(mx);
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     int lli = 0;
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         if (si < 7 || (si >= 36 && si < 36 + 7) || si >= 72) {
 | |
|             // costas
 | |
|             continue;
 | |
|         }
 | |
| 
 | |
|         for (int i = 0; i < 3; i++)
 | |
|         {
 | |
|             float best_zero = bitinfo[si * 3 + i].zero;
 | |
|             float best_one = bitinfo[si * 3 + i].one;
 | |
|             // ll174[lli++] = best_zero > best_one ? 4.99 : -4.99;
 | |
|             float ll = bayes(params, best_zero, best_one, lli, bests, all);
 | |
|             ll174[lli++] = ll;
 | |
|         }
 | |
|     }
 | |
|     // assert(lli == 174);
 | |
| }
 | |
| 
 | |
| //
 | |
| // given log likelyhood for each bit, try LDPC and OSD decoders.
 | |
| // on success, puts corrected 174 bits into a174[].
 | |
| //
 | |
| int FT8::decode(const float ll174[], int a174[], FT8Params& _params, int use_osd, std::string &comment)
 | |
| {
 | |
|     int plain[174];  // will be 0/1 bits.
 | |
|     int ldpc_ok = 0; // 83 will mean success.
 | |
|     LDPC::ldpc_decode((float *)ll174, _params.ldpc_iters, plain, &ldpc_ok);
 | |
|     int ok_thresh = 83; // 83 is perfect
 | |
| 
 | |
|     if (ldpc_ok >= ok_thresh)
 | |
|     {
 | |
|         // plain[] is 91 systematic data bits, 83 parity bits.
 | |
|         for (int i = 0; i < 174; i++) {
 | |
|             a174[i] = plain[i];
 | |
|         }
 | |
| 
 | |
|         if (OSD::check_crc(a174)) {
 | |
|             // success!
 | |
|             return 1;
 | |
|         } else {
 | |
|             comment = "CRC fail";
 | |
|         }
 | |
|     }
 | |
|     else
 | |
|     {
 | |
|         comment = "LDPC fail";
 | |
|     }
 | |
| 
 | |
|     if (use_osd && _params.osd_depth >= 0 && ldpc_ok >= _params.osd_ldpc_thresh)
 | |
|     {
 | |
|         int oplain[91];
 | |
|         int got_depth = -1;
 | |
|         int osd_ok = OSD::osd_decode((float *)ll174, _params.osd_depth, oplain, &got_depth);
 | |
| 
 | |
|         if (osd_ok)
 | |
|         {
 | |
|             // reconstruct all 174.
 | |
|             comment += "OSD-" + std::to_string(got_depth) + "-" + std::to_string(ldpc_ok);
 | |
|             OSD::ldpc_encode(oplain, a174);
 | |
|             return 1;
 | |
|         }
 | |
|         else
 | |
|         {
 | |
|             comment = "OSD fail";
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return 0;
 | |
| }
 | |
| 
 | |
| //
 | |
| // encode a 77 bit message into a 174 bit payload
 | |
| // adds the 14 bit CRC to obtain 91 bits
 | |
| // apply (174, 91) generator mastrix to obtain the 83 parity bits
 | |
| // append the 83 bits to the 91 bits message + crc to obbain the 174 bit payload
 | |
| //
 | |
| void FT8::encode(int a174[], int s77[])
 | |
| {
 | |
|     int a91[91]; // msg + CRC
 | |
|     std::fill(a91, a91 + 91, 0);
 | |
|     std::copy(s77, s77+77, a91); // copy msg
 | |
|     LDPC::ft8_crc(a91, 82, &a91[77]); // append CRC - to match OSD::check_crc
 | |
|     std::copy(a91, a91+91, a174); // copy msg + CRC
 | |
|     int sum, n, ni, b;
 | |
| 
 | |
|     for (int i=0; i<83; i++)
 | |
|     {
 | |
|         sum = 0;
 | |
| 
 | |
|         for (int j=0; j<91; j++)
 | |
|         {
 | |
|             n = j/8;  // byte index in the generator matrix
 | |
|             ni = j%8;  // bit index in the generator matrix byte LSB first
 | |
|             b = (Arrays::Gm[i][n] >> (7-ni)) & 1; // bit in the generator matrix
 | |
|             sum += a91[j] * b;
 | |
|         }
 | |
| 
 | |
|         a174[91+i] = sum % 2; // sum modulo 2
 | |
|     }
 | |
| }
 | |
| 
 | |
| //
 | |
| // bandpass filter some FFT bins.
 | |
| // smooth transition from stop-band to pass-band,
 | |
| // so that it's not a brick-wall filter, so that it
 | |
| // doesn't ring.
 | |
| //
 | |
| std::vector<std::complex<float>> FT8::fbandpass(
 | |
|     const std::vector<std::complex<float>> &bins0,
 | |
|     float bin_hz,
 | |
|     float low_outer,  // start of transition
 | |
|     float low_inner,  // start of flat area
 | |
|     float high_inner, // end of flat area
 | |
|     float high_outer  // end of transition
 | |
| )
 | |
| {
 | |
|     // assert(low_outer <= low_inner);
 | |
|     // assert(low_inner <= high_inner);
 | |
|     // assert(high_inner <= high_outer);
 | |
| 
 | |
|     int nbins = bins0.size();
 | |
|     std::vector<std::complex<float>> bins1(nbins);
 | |
| 
 | |
|     for (int i = 0; i < nbins; i++)
 | |
|     {
 | |
|         float ihz = i * bin_hz;
 | |
|         // cos(x)+flat+cos(x) taper
 | |
|         float factor;
 | |
|         if (ihz <= low_outer || ihz >= high_outer)
 | |
|         {
 | |
|             factor = 0;
 | |
|         }
 | |
|         else if (ihz >= low_outer && ihz < low_inner)
 | |
|         {
 | |
|             // rising shoulder
 | |
| #if 1
 | |
|             factor = (ihz - low_outer) / (low_inner - low_outer); // 0 .. 1
 | |
| #else
 | |
|             float theta = (ihz - low_outer) / (low_inner - low_outer);    // 0 .. 1
 | |
|             theta -= 1;                                                    // -1 .. 0
 | |
|             theta *= 3.14159;                                              // -pi .. 0
 | |
|             factor = cos(theta);                                           // -1 .. 1
 | |
|             factor = (factor + 1) / 2;                                     // 0 .. 1
 | |
| #endif
 | |
|         }
 | |
|         else if (ihz > high_inner && ihz <= high_outer)
 | |
|         {
 | |
|             // falling shoulder
 | |
| #if 1
 | |
|             factor = (high_outer - ihz) / (high_outer - high_inner); // 1 .. 0
 | |
| #else
 | |
|             float theta = (high_outer - ihz) / (high_outer - high_inner); // 1 .. 0
 | |
|             theta = 1.0 - theta;                                           // 0 .. 1
 | |
|             theta *= 3.14159;                                              // 0 .. pi
 | |
|             factor = cos(theta);                                           // 1 .. -1
 | |
|             factor = (factor + 1) / 2;                                     // 1 .. 0
 | |
| #endif
 | |
|         }
 | |
|         else
 | |
|         {
 | |
|             factor = 1.0;
 | |
|         }
 | |
| 
 | |
|         bins1[i] = bins0[i] * factor;
 | |
|     }
 | |
| 
 | |
|     return bins1;
 | |
| }
 | |
| 
 | |
| //
 | |
| // move hz down to 25, filter+convert to 200 samples/second.
 | |
| //
 | |
| // like fft_shift(). one big FFT, move bins down and
 | |
| // zero out those outside the band, then IFFT,
 | |
| // then re-sample.
 | |
| //
 | |
| // XXX maybe merge w/ fft_shift() / shift200().
 | |
| //
 | |
| std::vector<float> FT8::down_v7(const std::vector<float> &samples, float hz)
 | |
| {
 | |
|     int len = samples.size();
 | |
|     std::vector<std::complex<float>> bins = fftEngine_->one_fft(samples, 0, len);
 | |
| 
 | |
|     return down_v7_f(bins, len, hz);
 | |
| }
 | |
| 
 | |
| std::vector<float> FT8::down_v7_f(const std::vector<std::complex<float>> &bins, int len, float hz)
 | |
| {
 | |
|     int nbins = bins.size();
 | |
|     float bin_hz = rate_ / (float)len;
 | |
|     int down = round((hz - 25) / bin_hz);
 | |
|     std::vector<std::complex<float>> bins1(nbins);
 | |
| 
 | |
|     for (int i = 0; i < nbins; i++)
 | |
|     {
 | |
|         int j = i + down;
 | |
| 
 | |
|         if (j >= 0 && j < nbins) {
 | |
|             bins1[i] = bins[j];
 | |
|         } else {
 | |
|             bins1[i] = 0;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     // now filter to fit in 200 samples/second.
 | |
| 
 | |
|     float low_inner = 25.0 - params.shoulder200_extra;
 | |
|     float low_outer = low_inner - params.shoulder200;
 | |
| 
 | |
|     if (low_outer < 0) {
 | |
|         low_outer = 0;
 | |
|     }
 | |
| 
 | |
|     float high_inner = 75 - 6.25 + params.shoulder200_extra;
 | |
|     float high_outer = high_inner + params.shoulder200;
 | |
| 
 | |
|     if (high_outer > 100) {
 | |
|         high_outer = 100;
 | |
|     }
 | |
| 
 | |
|     bins1 = fbandpass(
 | |
|         bins1,
 | |
|         bin_hz,
 | |
|         low_outer,
 | |
|         low_inner,
 | |
|         high_inner,
 | |
|         high_outer
 | |
|     );
 | |
| 
 | |
|     // convert back to time domain and down-sample to 200 samples/second.
 | |
|     int blen = round(len * (200.0 / rate_));
 | |
|     std::vector<std::complex<float>> bbins(blen / 2 + 1);
 | |
| 
 | |
|     for (int i = 0; i < (int)bbins.size(); i++) {
 | |
|         bbins[i] = bins1[i];
 | |
|     }
 | |
| 
 | |
|     std::vector<float> out = fftEngine_->one_ifft(bbins);
 | |
|     return out;
 | |
| }
 | |
| 
 | |
| //
 | |
| // putative start of signal is at hz and symbol si0.
 | |
| //
 | |
| // return 2 if it decodes to a brand-new message.
 | |
| // return 1 if it decodes but we've already seen it,
 | |
| //   perhaps in a different pass.
 | |
| // return 0 if we could not decode.
 | |
| //
 | |
| // XXX merge with one_iter().
 | |
| //
 | |
| int FT8::one_merge(const std::vector<std::complex<float>> &bins, int len, float hz, int off)
 | |
| {
 | |
|     //
 | |
|     // set up to search for best frequency and time offset.
 | |
|     //
 | |
| 
 | |
|     //
 | |
|     // move down to 25 hz and re-sample to 200 samples/second,
 | |
|     // i.e. 32 samples/symbol.
 | |
|     //
 | |
|     std::vector<float> samples200 = down_v7_f(bins, len, hz);
 | |
|     int off200 = round((off / (float)rate_) * 200.0);
 | |
|     int ret = one_iter(samples200, off200, hz);
 | |
|     return ret;
 | |
| }
 | |
| 
 | |
| // return 2 if it decodes to a brand-new message.
 | |
| // return 1 if it decodes but we've already seen it,
 | |
| //   perhaps in a different pass.
 | |
| // return 0 if we could not decode.
 | |
| int FT8::one_iter(const std::vector<float> &samples200, int best_off, float hz_for_cb)
 | |
| {
 | |
|     if (params.do_second)
 | |
|     {
 | |
|         std::vector<Strength> strengths = search_both(
 | |
|             samples200,
 | |
|             25,
 | |
|             params.second_hz_n,
 | |
|             params.second_hz_win,
 | |
|             best_off,
 | |
|             params.second_off_n,
 | |
|             params.second_off_win * 32
 | |
|         );
 | |
|         //
 | |
|         // sort strongest-first.
 | |
|         //
 | |
|         std::sort(
 | |
|             strengths.begin(),
 | |
|             strengths.end(),
 | |
|             [](const Strength &a, const Strength &b) -> bool {
 | |
|                 return a.strength_ > b.strength_;
 | |
|             }
 | |
|         );
 | |
| 
 | |
|         for (int i = 0; i < (int)strengths.size() && i < params.second_count; i++)
 | |
|         {
 | |
|             float hz = strengths[i].hz_;
 | |
|             int off = strengths[i].off_;
 | |
|             int ret = one_iter1(samples200, off, hz, hz_for_cb, hz_for_cb);
 | |
| 
 | |
|             if (ret > 0) {
 | |
|                 return ret;
 | |
|             }
 | |
|         }
 | |
|     }
 | |
|     else
 | |
|     {
 | |
|         int ret = one_iter1(samples200, best_off, 25, hz_for_cb, hz_for_cb);
 | |
|         return ret;
 | |
|     }
 | |
| 
 | |
|     return 0;
 | |
| }
 | |
| 
 | |
| //
 | |
| // estimate SNR, yielding numbers vaguely similar to WSJT-X.
 | |
| // m79 is a 79x8 complex FFT output.
 | |
| //
 | |
| float FT8::guess_snr(const FFTEngine::ffts_t &m79)
 | |
| {
 | |
|     int costas[] = {3, 1, 4, 0, 6, 5, 2};
 | |
|     float pnoises = 0;
 | |
|     float psignals = 0;
 | |
| 
 | |
|     for (int i = 0; i < 7; i++)
 | |
|     {
 | |
|         psignals += std::abs(m79[i][costas[i]]);
 | |
|         psignals += std::abs(m79[36 + i][costas[i]]);
 | |
|         psignals += std::abs(m79[72 + i][costas[i]]);
 | |
|         pnoises += std::abs(m79[i][(costas[i] + 4) % 8]);
 | |
|         pnoises += std::abs(m79[36 + i][(costas[i] + 4) % 8]);
 | |
|         pnoises += std::abs(m79[72 + i][(costas[i] + 4) % 8]);
 | |
|     }
 | |
| 
 | |
|     for (int i = 0; i < 79; i++)
 | |
|     {
 | |
|         if (i < 7 || (i >= 36 && i < 36 + 7) || (i >= 72 && i < 72 + 7)) {
 | |
|             continue;
 | |
|         }
 | |
| 
 | |
|         std::vector<float> v(8);
 | |
| 
 | |
|         for (int j = 0; j < 8; j++) {
 | |
|             v[j] = std::abs(m79[i][j]);
 | |
|         }
 | |
| 
 | |
|         std::sort(v.begin(), v.end());
 | |
|         psignals += v[7]; // strongest tone, probably the signal
 | |
|         pnoises += (v[2] + v[3] + v[4]) / 3;
 | |
|     }
 | |
| 
 | |
|     pnoises /= 79;
 | |
|     psignals /= 79;
 | |
|     pnoises *= pnoises; // square yields power
 | |
|     psignals *= psignals;
 | |
|     float raw = psignals / pnoises;
 | |
|     raw -= 1; // turn (s+n)/n into s/n
 | |
| 
 | |
|     if (raw < 0.1) {
 | |
|         raw = 0.1;
 | |
|     }
 | |
| 
 | |
|     raw /= (2500.0 / 2.7); // 2.7 hz noise b/w -> 2500 hz b/w
 | |
|     float snr = 10 * log10(raw);
 | |
|     snr += 5;
 | |
|     snr *= 1.4;
 | |
|     return snr;
 | |
| }
 | |
| 
 | |
| //
 | |
| // compare phases of successive symbols to guess whether
 | |
| // the starting offset is a little too high or low.
 | |
| // we expect each symbol to have the same phase.
 | |
| // an error in causes the phase to advance at a steady rate.
 | |
| // so if hz is wrong, we expect the phase to advance
 | |
| // or retard at a steady pace.
 | |
| // an error in offset causes each symbol to start at
 | |
| // a phase that depends on the symbol's frequency;
 | |
| // a particular offset error causes a phase error
 | |
| // that depends on frequency.
 | |
| // hz0 is actual FFT bin number of m79[...][0] (always 4).
 | |
| //
 | |
| // the output adj_hz is relative to the FFT bin center;
 | |
| // a positive number means the real signal seems to be
 | |
| // a bit higher in frequency that the bin center.
 | |
| //
 | |
| // adj_off is the amount to change the offset, in samples.
 | |
| // should be subtracted from offset.
 | |
| //
 | |
| void FT8::fine(const FFTEngine::ffts_t &m79, int, float &adj_hz, float &adj_off)
 | |
| {
 | |
|     adj_hz = 0.0;
 | |
|     adj_off = 0.0;
 | |
|     // tone number for each of the 79 symbols.
 | |
|     int sym[79];
 | |
|     float symval[79];
 | |
|     float symphase[79];
 | |
|     int costas[] = {3, 1, 4, 0, 6, 5, 2};
 | |
| 
 | |
|     for (int i = 0; i < 79; i++)
 | |
|     {
 | |
|         if (i < 7)
 | |
|         {
 | |
|             sym[i] = costas[i];
 | |
|         }
 | |
|         else if (i >= 36 && i < 36 + 7)
 | |
|         {
 | |
|             sym[i] = costas[i - 36];
 | |
|         }
 | |
|         else if (i >= 72)
 | |
|         {
 | |
|             sym[i] = costas[i - 72];
 | |
|         }
 | |
|         else
 | |
|         {
 | |
|             int mxj = -1;
 | |
|             float mx = 0;
 | |
| 
 | |
|             for (int j = 0; j < 8; j++)
 | |
|             {
 | |
|                 float x = std::abs(m79[i][j]);
 | |
| 
 | |
|                 if (mxj < 0 || x > mx)
 | |
|                 {
 | |
|                     mx = x;
 | |
|                     mxj = j;
 | |
|                 }
 | |
|             }
 | |
| 
 | |
|             sym[i] = mxj;
 | |
|         }
 | |
| 
 | |
|         symphase[i] = std::arg(m79[i][sym[i]]);
 | |
|         symval[i] = std::abs(m79[i][sym[i]]);
 | |
|     }
 | |
| 
 | |
|     float sum = 0;
 | |
|     float weight_sum = 0;
 | |
| 
 | |
|     for (int i = 0; i < 79 - 1; i++)
 | |
|     {
 | |
|         float d = symphase[i + 1] - symphase[i];
 | |
| 
 | |
|         while (d > M_PI) {
 | |
|             d -= 2 * M_PI;
 | |
|         }
 | |
| 
 | |
|         while (d < -M_PI) {
 | |
|             d += 2 * M_PI;
 | |
|         }
 | |
| 
 | |
|         float w = symval[i];
 | |
|         sum += d * w;
 | |
|         weight_sum += w;
 | |
|     }
 | |
| 
 | |
|     float mean = sum / weight_sum;
 | |
|     float err_rad = mean; // radians per symbol time
 | |
|     float err_hz = (err_rad / (2 * M_PI)) / 0.16; // cycles per symbol time
 | |
| 
 | |
|     // if each symbol's phase is a bit more than we expect,
 | |
|     // that means the real frequency is a bit higher
 | |
|     // than we thought, so increase our estimate.
 | |
|     adj_hz = err_hz;
 | |
| 
 | |
|     //
 | |
|     // now think about offset error.
 | |
|     //
 | |
|     // the higher tones have many cycles per
 | |
|     // symbol -- e.g. tone 7 has 11 cycles
 | |
|     // in each symbol. a one- or two-sample
 | |
|     // offset error at such a high tone will
 | |
|     // change the phase by pi or more,
 | |
|     // which makes the phase-to-samples
 | |
|     // conversion ambiguous. so only try
 | |
|     // to distinguish early-ontime-late,
 | |
|     // not the amount.
 | |
|     //
 | |
|     int nearly = 0;
 | |
|     int nlate = 0;
 | |
|     float early = 0.0;
 | |
|     float late = 0.0;
 | |
| 
 | |
|     for (int i = 1; i < 79; i++)
 | |
|     {
 | |
|         float ph0 = std::arg(m79[i - 1][sym[i - 1]]);
 | |
|         float ph = std::arg(m79[i][sym[i]]);
 | |
|         float d = ph - ph0;
 | |
|         d -= err_rad; // correct for hz error.
 | |
| 
 | |
|         while (d > M_PI) {
 | |
|             d -= 2 * M_PI;
 | |
|         }
 | |
| 
 | |
|         while (d < -M_PI) {
 | |
|             d += 2 * M_PI;
 | |
|         }
 | |
| 
 | |
|         // if off is correct, each symbol will have the same phase (modulo
 | |
|         // the above hz correction), since each FFT bin holds an integer
 | |
|         // number of cycles.
 | |
| 
 | |
|         // if off is too small, the phase is altered by the trailing part
 | |
|         // of the previous symbol. if the previous tone was lower,
 | |
|         // the phase won't have advanced as much as expected, and
 | |
|         // this symbol's phase will be lower than the previous phase.
 | |
|         // if the previous tone was higher, the phase will be more
 | |
|         // advanced than expected. thus off too small leads to
 | |
|         // a phase difference that's the reverse of the tone difference.
 | |
| 
 | |
|         // if off is too high, then the FFT started a little way into
 | |
|         // this symbol, which causes the phase to be advanced a bit.
 | |
|         // of course the previous symbol's phase was also advanced
 | |
|         // too much. if this tone is higher than the previous symbol,
 | |
|         // its phase will be more advanced than the previous. if
 | |
|         // less, less.
 | |
| 
 | |
|         // the point: if successive phases and tone differences
 | |
|         // are positively correlated, off is too high. if negatively,
 | |
|         // too low.
 | |
| 
 | |
|         // fine_max_tone:
 | |
|         // if late, ignore if a high tone, since ambiguous.
 | |
|         // if early, ignore if prev is a high tone.
 | |
| 
 | |
|         if (sym[i] > sym[i - 1])
 | |
|         {
 | |
|             if (d > 0 && sym[i] <= params.fine_max_tone)
 | |
|             {
 | |
|                 nlate++;
 | |
|                 late += d / std::abs(sym[i] - sym[i - 1]);
 | |
|             }
 | |
| 
 | |
|             if (d < 0 && sym[i - 1] <= params.fine_max_tone)
 | |
|             {
 | |
|                 nearly++;
 | |
|                 early += fabs(d) / std::abs(sym[i] - sym[i - 1]);
 | |
|             }
 | |
|         }
 | |
|         else if (sym[i] < sym[i - 1])
 | |
|         {
 | |
|             if (d > 0 && sym[i - 1] <= params.fine_max_tone)
 | |
|             {
 | |
|                 nearly++;
 | |
|                 early += d / std::abs(sym[i] - sym[i - 1]);
 | |
|             }
 | |
| 
 | |
|             if (d < 0 && sym[i] <= params.fine_max_tone)
 | |
|             {
 | |
|                 nlate++;
 | |
|                 late += fabs(d) / std::abs(sym[i] - sym[i - 1]);
 | |
|             }
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (nearly > 0) {
 | |
|         early /= nearly;
 | |
|     }
 | |
| 
 | |
|     if (nlate > 0) {
 | |
|         late /= nlate;
 | |
|     }
 | |
| 
 | |
|     // qDebug("early %d %.1f, late %d %.1f", nearly, early, nlate, late);
 | |
| 
 | |
|     // assumes 32 samples/symbol.
 | |
|     if (nearly > 2 * nlate)
 | |
|     {
 | |
|         adj_off = round(32 * early / params.fine_thresh);
 | |
| 
 | |
|         if (adj_off > params.fine_max_off) {
 | |
|             adj_off = params.fine_max_off;
 | |
|         }
 | |
|     }
 | |
|     else if (nlate > 2 * nearly)
 | |
|     {
 | |
|         adj_off = 0 - round(32 * late / params.fine_thresh);
 | |
| 
 | |
|         if (fabs(adj_off) > params.fine_max_off) {
 | |
|             adj_off -= params.fine_max_off;
 | |
|         }
 | |
|     }
 | |
| }
 | |
| 
 | |
| //
 | |
| // the signal is at roughly 25 hz in samples200.
 | |
| //
 | |
| // return 2 if it decodes to a brand-new message.
 | |
| // return 1 if it decodes but we've already seen it,
 | |
| //   perhaps in a different pass.
 | |
| // return 0 if we could not decode.
 | |
| //
 | |
| int FT8::one_iter1(
 | |
|     const std::vector<float> &samples200x,
 | |
|     int best_off,
 | |
|     float best_hz,
 | |
|     float hz0_for_cb,
 | |
|     float hz1_for_cb
 | |
| )
 | |
| {
 | |
|     // put best_hz in the middle of bin 4, at 25.0.
 | |
|     std::vector<float> samples200 = shift200(
 | |
|         samples200x,
 | |
|         0,
 | |
|         samples200x.size(),
 | |
|         best_hz
 | |
|     );
 | |
| 
 | |
|     // mini 79x8 FFT.
 | |
|     FFTEngine::ffts_t m79 = extract(samples200, 25, best_off);
 | |
| 
 | |
|     // look at symbol-to-symbol phase change to try
 | |
|     // to improve best_hz and best_off.
 | |
|     if (params.do_fine_hz || params.do_fine_off)
 | |
|     {
 | |
|         float adj_hz = 0;
 | |
|         float adj_off = 0;
 | |
|         fine(m79, 4, adj_hz, adj_off);
 | |
| 
 | |
|         if (params.do_fine_hz == 0) {
 | |
|             adj_hz = 0;
 | |
|         }
 | |
| 
 | |
|         if (params.do_fine_off == 0) {
 | |
|             adj_off = 0;
 | |
|         }
 | |
| 
 | |
|         if (fabs(adj_hz) < 6.25 / 4 && fabs(adj_off) < 4)
 | |
|         {
 | |
|             best_hz += adj_hz;
 | |
|             best_off += round(adj_off);
 | |
| 
 | |
|             if (best_off < 0) {
 | |
|                 best_off = 0;
 | |
|             }
 | |
| 
 | |
|             samples200 = shift200(samples200x, 0, samples200x.size(), best_hz);
 | |
|             m79 = extract(samples200, 25, best_off);
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     float ll174[174];
 | |
| 
 | |
|     if (params.soft_ones)
 | |
|     {
 | |
|         if (params.soft_ones == 1) {
 | |
|             soft_decode(m79, ll174);
 | |
|         } else {
 | |
|             c_soft_decode(m79, ll174);
 | |
|         }
 | |
| 
 | |
|         int ret = try_decode(
 | |
|             samples200,
 | |
|             ll174,
 | |
|             best_hz,
 | |
|             best_off,
 | |
|             hz0_for_cb,
 | |
|             hz1_for_cb,
 | |
|             params.use_osd,
 | |
|             "",
 | |
|             m79
 | |
|         );
 | |
| 
 | |
|         if (ret) {
 | |
|             return ret;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (params.soft_pairs)
 | |
|     {
 | |
|         float p174[174];
 | |
|         soft_decode_pairs(m79, p174);
 | |
|         int ret = try_decode(
 | |
|             samples200,
 | |
|             p174,
 | |
|             best_hz,
 | |
|             best_off,
 | |
|             hz0_for_cb,
 | |
|             hz1_for_cb,
 | |
|             params.use_osd,
 | |
|             "",
 | |
|             m79
 | |
|         );
 | |
| 
 | |
|         if (ret) {
 | |
|             return ret;
 | |
|         }
 | |
| 
 | |
|         if (params.soft_ones == 0) {
 | |
|             std::copy(p174, p174 + 174, ll174);
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (params.soft_triples)
 | |
|     {
 | |
|         float p174[174];
 | |
|         soft_decode_triples(m79, p174);
 | |
|         int ret = try_decode(
 | |
|             samples200,
 | |
|             p174,
 | |
|             best_hz,
 | |
|             best_off,
 | |
|             hz0_for_cb,
 | |
|             hz1_for_cb,
 | |
|             params.use_osd,
 | |
|             "",
 | |
|             m79
 | |
|         );
 | |
| 
 | |
|         if (ret) {
 | |
|             return ret;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (params.use_hints)
 | |
|     {
 | |
|         for (int hi = 0; hi < (int)hints1_.size(); hi++)
 | |
|         {
 | |
|             int h = hints1_[hi]; // 28-bit number, goes in ll174 0..28
 | |
| 
 | |
|             if (params.use_hints == 2 && h != 2)
 | |
|             {
 | |
|                 // just CQ
 | |
|                 continue;
 | |
|             }
 | |
| 
 | |
|             float n174[174];
 | |
| 
 | |
|             for (int i = 0; i < 174; i++)
 | |
|             {
 | |
|                 if (i < 28)
 | |
|                 {
 | |
|                     int bit = h & (1 << 27);
 | |
| 
 | |
|                     if (bit) {
 | |
|                         n174[i] = -4.97;
 | |
|                     } else {
 | |
|                         n174[i] = 4.97;
 | |
|                     }
 | |
| 
 | |
|                     h <<= 1;
 | |
|                 }
 | |
|                 else
 | |
|                 {
 | |
|                     n174[i] = ll174[i];
 | |
|                 }
 | |
|             }
 | |
| 
 | |
|             int ret = try_decode(
 | |
|                 samples200,
 | |
|                 n174,
 | |
|                 best_hz,
 | |
|                 best_off,
 | |
|                 hz0_for_cb,
 | |
|                 hz1_for_cb,
 | |
|                 0,
 | |
|                 "hint1",
 | |
|                 m79
 | |
|             );
 | |
| 
 | |
|             if (ret) {
 | |
|                 return ret;
 | |
|             }
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (params.use_hints == 1)
 | |
|     {
 | |
|         for (int hi = 0; hi < (int)hints2_.size(); hi++)
 | |
|         {
 | |
|             int h = hints2_[hi]; // 28-bit number, goes in ll174 29:29+28
 | |
|             float n174[174];
 | |
| 
 | |
|             for (int i = 0; i < 174; i++)
 | |
|             {
 | |
|                 if (i >= 29 && i < 29 + 28)
 | |
|                 {
 | |
|                     int bit = h & (1 << 27);
 | |
| 
 | |
|                     if (bit) {
 | |
|                         n174[i] = -4.97;
 | |
|                     } else {
 | |
|                         n174[i] = 4.97;
 | |
|                     }
 | |
| 
 | |
|                     h <<= 1;
 | |
|                 }
 | |
|                 else
 | |
|                 {
 | |
|                     n174[i] = ll174[i];
 | |
|                 }
 | |
|             }
 | |
| 
 | |
|             int ret = try_decode(
 | |
|                 samples200,
 | |
|                 n174,
 | |
|                 best_hz,
 | |
|                 best_off,
 | |
|                 hz0_for_cb,
 | |
|                 hz1_for_cb,
 | |
|                 0,
 | |
|                 "hint2",
 | |
|                 m79
 | |
|             );
 | |
| 
 | |
|             if (ret) {
 | |
|                 return ret;
 | |
|             }
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return 0;
 | |
| }
 | |
| 
 | |
| //
 | |
| // subtract a corrected decoded signal from nsamples_,
 | |
| // perhaps revealing a weaker signal underneath,
 | |
| // to be decoded in a subsequent pass.
 | |
| //
 | |
| // re79[] holds the error-corrected symbol numbers.
 | |
| //
 | |
| void FT8::subtract(
 | |
|     const std::vector<int> re79,
 | |
|     float hz0,
 | |
|     float hz1,
 | |
|     float off_sec
 | |
| )
 | |
| {
 | |
|     int block = blocksize(rate_);
 | |
|     float bin_hz = rate_ / (float)block;
 | |
|     int off0 = off_sec * rate_;
 | |
|     float mhz = (hz0 + hz1) / 2.0;
 | |
|     int bin0 = round(mhz / bin_hz);
 | |
|     // move nsamples so that signal is centered in bin0.
 | |
|     float diff0 = (bin0 * bin_hz) - hz0;
 | |
|     float diff1 = (bin0 * bin_hz) - hz1;
 | |
|     std::vector<float> moved = fftEngine_->hilbert_shift(nsamples_, diff0, diff1, rate_);
 | |
|     FFTEngine::ffts_t bins = fftEngine_->ffts(moved, off0, block);
 | |
| 
 | |
|     if (bin0 + 8 > (int)bins[0].size()) {
 | |
|         return;
 | |
|     }
 | |
| 
 | |
|     if ((int)bins.size() < 79) {
 | |
|         return;
 | |
| 
 | |
|     }
 | |
| 
 | |
|     std::vector<float> phases(79);
 | |
|     std::vector<float> amps(79);
 | |
| 
 | |
|     for (int i = 0; i < 79; i++)
 | |
|     {
 | |
|         int sym = bin0 + re79[i];
 | |
|         std::complex<float> c = bins[i][sym];
 | |
|         phases[i] = std::arg(c);
 | |
|         // FFT multiplies magnitudes by number of bins,
 | |
|         // or half the number of samples.
 | |
|         amps[i] = std::abs(c) / (block / 2.0);
 | |
|     }
 | |
| 
 | |
|     int ramp = round(block * params.subtract_ramp);
 | |
| 
 | |
|     if (ramp < 1) {
 | |
|         ramp = 1;
 | |
|     }
 | |
| 
 | |
|     // initial ramp part of first symbol.
 | |
|     {
 | |
|         int sym = bin0 + re79[0];
 | |
|         float phase = phases[0];
 | |
|         float amp = amps[0];
 | |
|         float hz = 6.25 * sym;
 | |
|         float dtheta = 2 * M_PI / (rate_ / hz); // advance per sample
 | |
| 
 | |
|         for (int jj = 0; jj < ramp; jj++)
 | |
|         {
 | |
|             float theta = phase + jj * dtheta;
 | |
|             float x = amp * cos(theta);
 | |
|             x *= jj / (float)ramp;
 | |
|             int iii = off0 + block * 0 + jj;
 | |
|             moved[iii] -= x;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     for (int si = 0; si < 79; si++)
 | |
|     {
 | |
|         int sym = bin0 + re79[si];
 | |
|         float phase = phases[si];
 | |
|         float amp = amps[si];
 | |
|         float hz = 6.25 * sym;
 | |
|         float dtheta = 2 * M_PI / (rate_ / hz); // advance per sample
 | |
| 
 | |
|         // we've already done the first ramp for this symbol.
 | |
|         // now for the steady part between ramps.
 | |
|         for (int jj = ramp; jj < block - ramp; jj++)
 | |
|         {
 | |
|             float theta = phase + jj * dtheta;
 | |
|             float x = amp * cos(theta);
 | |
|             int iii = off0 + block * si + jj;
 | |
|             moved[iii] -= x;
 | |
|         }
 | |
| 
 | |
|         // now the two ramps, from us to the next symbol.
 | |
|         // we need to smoothly change the frequency,
 | |
|         // approximating wsjt-x's gaussian frequency shift,
 | |
|         // and also end up matching the next symbol's phase,
 | |
|         // which is often different from this symbol due
 | |
|         // to inaccuracies in hz or offset.
 | |
| 
 | |
|         // at start of this symbol's off-ramp.
 | |
|         float theta = phase + (block - ramp) * dtheta;
 | |
|         float hz1;
 | |
|         float phase1;
 | |
| 
 | |
|         if (si + 1 >= 79)
 | |
|         {
 | |
|             hz1 = hz;
 | |
|             phase1 = phase;
 | |
|         }
 | |
|         else
 | |
|         {
 | |
|             int sym1 = bin0 + re79[si + 1];
 | |
|             hz1 = 6.25 * sym1;
 | |
|             phase1 = phases[si + 1];
 | |
|         }
 | |
| 
 | |
|         float dtheta1 = 2 * M_PI / (rate_ / hz1);
 | |
|         // add this to dtheta for each sample, to gradually
 | |
|         // change the frequency.
 | |
|         float inc = (dtheta1 - dtheta) / (2.0 * ramp);
 | |
|         // after we've applied all those inc's, what will the
 | |
|         // phase be at the end of the next symbol's initial ramp,
 | |
|         // if we don't do anything to correct it?
 | |
|         float actual = theta + dtheta * 2.0 * ramp + inc * 4.0 * ramp * ramp / 2.0;
 | |
|         // what phase does the next symbol want to be at when
 | |
|         // its on-ramp finishes?
 | |
|         float target = phase1 + dtheta1 * ramp;
 | |
| 
 | |
|         // ???
 | |
|         while (fabs(target - actual) > M_PI)
 | |
|         {
 | |
|             if (target < actual) {
 | |
|                 target += (2 * M_PI) - 1e-3; // plus epsilonn to break possible infinite loop
 | |
|             } else {
 | |
|                 target -= (2 * M_PI) + 1e-3; // plus epsilonn to break possible infinite loop
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         // adj is to be spread evenly over the off-ramp and on-ramp samples.
 | |
|         float adj = target - actual;
 | |
|         int end = block + ramp;
 | |
| 
 | |
|         if (si == 79 - 1) {
 | |
|             end = block;
 | |
|         }
 | |
| 
 | |
|         for (int jj = block - ramp; jj < end; jj++)
 | |
|         {
 | |
|             int iii = off0 + block * si + jj;
 | |
|             float x = amp * cos(theta);
 | |
| 
 | |
|             // trail off to zero at the very end.
 | |
|             if (si == 79 - 1) {
 | |
|                 x *= 1.0 - ((jj - (block - ramp)) / (float)ramp);
 | |
|             }
 | |
| 
 | |
|             moved[iii] -= x;
 | |
|             theta += dtheta;
 | |
|             dtheta += inc;
 | |
|             theta += adj / (2.0 * ramp);
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     nsamples_ = fftEngine_->hilbert_shift(moved, -diff0, -diff1, rate_);
 | |
| }
 | |
| 
 | |
| //
 | |
| // decode, give to callback, and subtract.
 | |
| //
 | |
| // return 2 if it decodes to a brand-new message.
 | |
| // return 1 if it decodes but we've already seen it,
 | |
| //   perhaps in a different pass.
 | |
| // return 0 if we could not decode.
 | |
| //
 | |
| int FT8::try_decode(
 | |
|     const std::vector<float> &samples200,
 | |
|     float ll174[174],
 | |
|     float best_hz,
 | |
|     int best_off_samples,
 | |
|     float hz0_for_cb,
 | |
|     float,
 | |
|     int use_osd,
 | |
|     const char *comment1,
 | |
|     const FFTEngine::ffts_t &m79
 | |
| )
 | |
| {
 | |
|     int a174[174];
 | |
|     std::string comment(comment1);
 | |
| 
 | |
|     if (decode(ll174, a174, params, use_osd, comment))
 | |
|     {
 | |
|         // a174 is corrected 91 bits of plain message plus 83 bits of LDPC parity.
 | |
|         // how many of the corrected 174 bits match the received signal in ll174?
 | |
|         int correct_bits = 0;
 | |
| 
 | |
|         for (int i = 0; i < 174; i++)
 | |
|         {
 | |
|             if (ll174[i] < 0 && a174[i] == 1) {
 | |
|                 correct_bits += 1;
 | |
|             } else if (ll174[i] > 0 && a174[i] == 0) {
 | |
|                 correct_bits += 1;
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         // reconstruct correct 79 symbols from LDPC output.
 | |
|         std::vector<int> re79 = recode(a174);
 | |
| 
 | |
|         if (params.do_third == 1)
 | |
|         {
 | |
|             // fine-tune offset and hz for better subtraction.
 | |
|             float best_off = best_off_samples / 200.0;
 | |
|             search_both_known(
 | |
|                 samples200,
 | |
|                 200,
 | |
|                 re79,
 | |
|                 best_hz,
 | |
|                 best_off,
 | |
|                 best_hz,
 | |
|                 best_off
 | |
|             );
 | |
|             best_off_samples = round(best_off * 200.0);
 | |
|         }
 | |
| 
 | |
|         // convert starting sample # from 200 samples/second back to rate_.
 | |
|         // also hz.
 | |
|         float best_off = best_off_samples / 200.0; // convert to seconds
 | |
|         best_hz = hz0_for_cb + (best_hz - 25.0);
 | |
| 
 | |
|         if (params.do_third == 2)
 | |
|         {
 | |
|             // fine-tune offset and hz for better subtraction.
 | |
|             search_both_known(
 | |
|                 samples_,
 | |
|                 rate_,
 | |
|                 re79,
 | |
|                 best_hz,
 | |
|                 best_off,
 | |
|                 best_hz,
 | |
|                 best_off
 | |
|             );
 | |
|         }
 | |
| 
 | |
|         float snr = guess_snr(m79);
 | |
| 
 | |
|         if (cb_)
 | |
|         {
 | |
|             cb_mu_.lock();
 | |
|             int ret = cb_->hcb(
 | |
|                 a174,
 | |
|                 best_hz + down_hz_,
 | |
|                 best_off,
 | |
|                 comment.c_str(),
 | |
|                 snr,
 | |
|                 pass_,
 | |
|                 correct_bits
 | |
|             );
 | |
| 
 | |
|             cb_mu_.unlock();
 | |
| 
 | |
|             if (ret == 2)
 | |
|             {
 | |
|                 // a new decode. subtract it from nsamples_.
 | |
|                 subtract(re79, best_hz, best_hz, best_off);
 | |
|             }
 | |
| 
 | |
|             return ret;
 | |
|         }
 | |
| 
 | |
|         return 1;
 | |
|     }
 | |
|     else
 | |
|     {
 | |
|         return 0;
 | |
|     }
 | |
| }
 | |
| 
 | |
| //
 | |
| // given 174 bits corrected by LDPC, work
 | |
| // backwards to the symbols that must have
 | |
| // been sent.
 | |
| // used to help ensure that subtraction subtracts
 | |
| // at the right place.
 | |
| //
 | |
| std::vector<int> FT8::recode(int a174[])
 | |
| {
 | |
|     int i174 = 0;
 | |
|     int costas[] = {3, 1, 4, 0, 6, 5, 2};
 | |
|     std::vector<int> out79;
 | |
| 
 | |
|     for (int i79 = 0; i79 < 79; i79++)
 | |
|     {
 | |
|         if (i79 < 7)
 | |
|         {
 | |
|             out79.push_back(costas[i79]);
 | |
|         }
 | |
|         else if (i79 >= 36 && i79 < 36 + 7)
 | |
|         {
 | |
|             out79.push_back(costas[i79 - 36]);
 | |
|         }
 | |
|         else if (i79 >= 72)
 | |
|         {
 | |
|             out79.push_back(costas[i79 - 72]);
 | |
|         }
 | |
|         else
 | |
|         {
 | |
|             int sym = (a174[i174 + 0] << 2) | (a174[i174 + 1] << 1) | (a174[i174 + 2] << 0);
 | |
|             i174 += 3;
 | |
|             // gray code
 | |
|             int map[] = {0, 1, 3, 2, 5, 6, 4, 7};
 | |
|             sym = map[sym];
 | |
|             out79.push_back(sym);
 | |
|         }
 | |
|     }
 | |
|     // assert(out79.size() == 79);
 | |
|     // assert(i174 == 174);
 | |
|     return out79;
 | |
| }
 | |
| 
 | |
| FT8Decoder::~FT8Decoder()
 | |
| {
 | |
|     forceQuit(); // stop all remaining running threads if any
 | |
| 
 | |
|     for (auto& fftEngine : fftEngines) {
 | |
|         delete fftEngine;
 | |
|     }
 | |
| }
 | |
| 
 | |
| //
 | |
| // Launch decoding
 | |
| //
 | |
| void FT8Decoder::entry(
 | |
|     float xsamples[],
 | |
|     int nsamples,
 | |
|     int start,
 | |
|     int rate,
 | |
|     float min_hz,
 | |
|     float max_hz,
 | |
|     int hints1[],
 | |
|     int hints2[],
 | |
|     double time_left,
 | |
|     double total_time_left,
 | |
|     CallbackInterface *cb,
 | |
|     int nprevdecs,
 | |
|     struct cdecode *xprevdecs
 | |
| )
 | |
| {
 | |
|     double t0 = now();
 | |
|     double deadline = t0 + time_left;
 | |
|     double final_deadline = t0 + total_time_left;
 | |
|     // decodes from previous runs, for subtraction.
 | |
|     std::vector<cdecode> prevdecs;
 | |
| 
 | |
|     for (int i = 0; i < nprevdecs; i++) {
 | |
|         prevdecs.push_back(xprevdecs[i]);
 | |
|     }
 | |
| 
 | |
|     std::vector<float> samples(nsamples);
 | |
| 
 | |
|     for (int i = 0; i < nsamples; i++) {
 | |
|         samples[i] = xsamples[i];
 | |
|     }
 | |
| 
 | |
|     if (min_hz < 0) {
 | |
|         min_hz = 0;
 | |
|     }
 | |
| 
 | |
|     if (max_hz > rate / 2) {
 | |
|         max_hz = rate / 2;
 | |
|     }
 | |
| 
 | |
|     float per = (max_hz - min_hz) / params.nthreads;
 | |
| 
 | |
|     for (int i = 0; i < params.nthreads; i++)
 | |
|     {
 | |
|         float hz0 = min_hz + i * per;
 | |
| 
 | |
|         if (i > 0 || params.overlap_edges) {
 | |
|             hz0 -= params.overlap;
 | |
|         }
 | |
| 
 | |
|         float hz1 = min_hz + (i + 1) * per;
 | |
| 
 | |
|         if (i != params.nthreads - 1 || params.overlap_edges) {
 | |
|             hz1 += params.overlap;
 | |
|         }
 | |
| 
 | |
|         hz0 = std::max(hz0, 0.0f);
 | |
|         hz1 = std::min(hz1, (rate / 2.0f) - 50);
 | |
| 
 | |
|         if (i == (int) fftEngines.size()) {
 | |
|             fftEngines.push_back(new FFTEngine());
 | |
|         }
 | |
| 
 | |
|         FT8 *ft8 = new FT8(
 | |
|             samples,
 | |
|             hz0,
 | |
|             hz1,
 | |
|             start,
 | |
|             rate,
 | |
|             hints1,
 | |
|             hints2,
 | |
|             deadline,
 | |
|             final_deadline,
 | |
|             cb,
 | |
|             prevdecs,
 | |
|             fftEngines[i]
 | |
|         );
 | |
| 
 | |
|         ft8->getParams() = getParams(); // transfer parameters
 | |
|         int npasses = nprevdecs > 0 ? params.npasses_two : params.npasses_one;
 | |
|         ft8->set_npasses(npasses);
 | |
|         QThread *th = new QThread();
 | |
|         th->setObjectName(tr("ft8:%1:%2").arg(cb->get_name()).arg(i));
 | |
|         threads.push_back(th);
 | |
|         // std::thread *th = new std::thread([ft8, npasses] () { ft8->go(npasses); });
 | |
|         // thv.push_back(std::pair<FT8*, std::thread*>(ft8, th));
 | |
|         ft8->moveToThread(th);
 | |
|         QObject::connect(th, &QThread::started, ft8, &FT8::start_work);
 | |
|         QObject::connect(ft8, &FT8::finished, th, &QThread::quit, Qt::DirectConnection);
 | |
|         QObject::connect(th, &QThread::finished, ft8, &QObject::deleteLater);
 | |
|         QObject::connect(th, &QThread::finished, th, &QThread::deleteLater);
 | |
|         th->start();
 | |
|     }
 | |
| }
 | |
| 
 | |
| void FT8Decoder::wait(double time_left)
 | |
| {
 | |
|     unsigned long thread_timeout = time_left * 1000;
 | |
| 
 | |
|     while (threads.size() != 0)
 | |
|     {
 | |
|         bool success = threads.front()->wait(thread_timeout);
 | |
| 
 | |
|         if (!success)
 | |
|         {
 | |
|             qDebug("FT8::FT8Decoder::wait: thread timed out");
 | |
|             thread_timeout = 50; // only 50ms for the rest
 | |
|         }
 | |
| 
 | |
|         threads.erase(threads.begin());
 | |
|     }
 | |
| }
 | |
| 
 | |
| void FT8Decoder::forceQuit()
 | |
| {
 | |
|     while (threads.size() != 0)
 | |
|     {
 | |
|         threads.front()->quit();
 | |
|         threads.front()->wait();
 | |
|         threads.erase(threads.begin());
 | |
|     }
 | |
| }
 | |
| 
 | |
| } // namespace FT8
 |