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+/*---------------------------------------------------------------------------*\
+
+ FILE........: fmfsk.c
+ AUTHOR......: Brady O'Brien
+ DATE CREATED: 6 February 2016
+
+ C Implementation of a FM+ME+FSK modem for FreeDV mode B and other applications
+ (better APRS, anyone?)
+
+\*---------------------------------------------------------------------------*/
+
+/*
+ Copyright (C) 2016 David Rowe
+
+ All rights reserved.
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License version 2.1, as
+ published by the Free Software Foundation. This program is
+ distributed in the hope that it will be useful, but WITHOUT ANY
+ WARRANTY; without even the implied warranty of MERCHANTABILITY or
+ FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
+ License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with this program; if not, see <http://www.gnu.org/licenses/>.
+*/
+
+#include <assert.h>
+#include <stdint.h>
+#include <stdlib.h>
+#include <math.h>
+#include <string.h>
+#include <stdio.h>
+
+
+#include "fmfsk.h"
+#include "modem_probe.h"
+#include "comp_prim.h"
+
+#define STD_PROC_BITS 96
+
+/*
+ * Create a new fmfsk modem instance.
+ *
+ * int Fs - sample rate
+ * int Rb - non-manchester bitrate
+ * returns - new struct FMFSK on success, NULL on failure
+ */
+struct FMFSK * fmfsk_create(int Fs,int Rb){
+ assert( Fs % (Rb*2) == 0 ); /* Sample freq must be divisible by symbol rate */
+
+ int nbits = STD_PROC_BITS;
+
+ /* Allocate the struct */
+ struct FMFSK *fmfsk = malloc(sizeof(struct FMFSK));
+ if(fmfsk==NULL) return NULL;
+
+ /* Set up static parameters */
+ fmfsk->Rb = Rb;
+ fmfsk->Rs = Rb*2;
+ fmfsk->Fs = Fs;
+ fmfsk->Ts = Fs/fmfsk->Rs;
+ fmfsk->N = nbits*2*fmfsk->Ts;
+ fmfsk->nmem = fmfsk->N+(fmfsk->Ts*4);
+ fmfsk->nsym = nbits*2;
+ fmfsk->nbit = nbits;
+
+ /* Set up demod state */
+ fmfsk->lodd = 0;
+ fmfsk->nin = fmfsk->N;
+ fmfsk->snr_mean = 0;
+
+ float *oldsamps = malloc(sizeof(float)*fmfsk->nmem);
+ if(oldsamps == NULL){
+ free(fmfsk);
+ return NULL;
+ }
+ for(int i=0; i<fmfsk->nmem; i++) oldsamps[i] = 0.0;
+ fmfsk->oldsamps = oldsamps;
+
+ fmfsk->stats = (struct MODEM_STATS*)malloc(sizeof(struct MODEM_STATS));
+ if (fmfsk->stats == NULL) {
+ free(oldsamps);
+ free(fmfsk);
+ return NULL;
+ }
+
+ return fmfsk;
+}
+
+/*
+ * Destroys an fmfsk modem and deallocates memory
+ */
+void fmfsk_destroy(struct FMFSK *fmfsk){
+ free(fmfsk->oldsamps);
+ free(fmfsk);
+}
+
+/*
+ * Returns the number of samples that must be fed to fmfsk_demod the next
+ * cycle
+ */
+uint32_t fmfsk_nin(struct FMFSK *fmfsk){
+ return (uint32_t)fmfsk->nin;
+}
+
+void fmfsk_get_demod_stats(struct FMFSK *fmfsk,struct MODEM_STATS *stats){
+ /* copy from internal stats, note we can't overwrite stats completely
+ as it has other states rqd by caller, also we want a consistent
+ interface across modem types for the freedv_api.
+ */
+
+ stats->clock_offset = fmfsk->stats->clock_offset;
+ stats->snr_est = fmfsk->stats->snr_est; // TODO: make this SNR not Eb/No
+ stats->rx_timing = fmfsk->stats->rx_timing;
+ stats->foff = fmfsk->stats->foff;
+
+#ifndef __EMBEDDED__
+ stats->neyesamp = fmfsk->stats->neyesamp;
+ stats->neyetr = fmfsk->stats->neyetr;
+ memcpy(stats->rx_eye, fmfsk->stats->rx_eye, sizeof(stats->rx_eye));
+#endif // !__EMBEDDED__
+
+ /* these fields not used for FSK so set to something sensible */
+
+ stats->sync = 0;
+ stats->nr = fmfsk->stats->nr;
+ stats->Nc = fmfsk->stats->Nc;
+}
+
+/*
+ * Modulates nbit bits into N samples to be sent through an FM radio
+ *
+ * struct FSK *fsk - FSK config/state struct, set up by fsk_create
+ * float mod_out[] - Buffer for N samples of modulated FMFSK
+ * uint8_t tx_bits[] - Buffer containing Nbits unpacked bits
+ */
+
+void fmfsk_mod(struct FMFSK *fmfsk, float fmfsk_out[],uint8_t bits_in[]){
+ int i,j;
+ int nbit = fmfsk->nbit;
+ int Ts = fmfsk->Ts;
+
+ for(i=0; i<nbit; i++){
+ /* Save a manchester-encoded 0 */
+ if(bits_in[i] == 0){
+ for(j=0; j<Ts; j++)
+ fmfsk_out[ j+i*Ts*2] = -1;
+ for(j=0; j<Ts; j++)
+ fmfsk_out[Ts+j+i*Ts*2] = 1;
+ } else {
+ /* Save a manchester-encoded 1 */
+ for(j=0; j<Ts; j++)
+ fmfsk_out[ j+i*Ts*2] = 1;
+ for(j=0; j<Ts; j++)
+ fmfsk_out[Ts+j+i*Ts*2] = -1;
+ }
+ }
+}
+
+/*
+ * Demodulate some number of FMFSK samples. The number of samples to be
+ * demodulated can be found by calling fmfsk_nin().
+ *
+ * struct FMFSK *fsk - FMFSK config/state struct, set up by fsk_create
+ * uint8_t rx_bits[] - Buffer for nbit unpacked bits to be written
+ * float fsk_in[] - nin samples of modualted FMFSK from an FM radio
+ */
+void fmfsk_demod(struct FMFSK *fmfsk, uint8_t rx_bits[],float fmfsk_in[]){
+ int i,j,k;
+ int Ts = fmfsk->Ts;
+ int Fs = fmfsk->Fs;
+ int Rs = fmfsk->Rs;
+ int nin = fmfsk->nin;
+ int N = fmfsk->N;
+ int nsym = fmfsk->nsym;
+ int nbit = fmfsk->nbit;
+ int nmem = fmfsk->nmem;
+ float *oldsamps = fmfsk->oldsamps;
+ int nold = nmem-nin;
+ COMP phi_ft,dphi_ft; /* Phase and delta-phase for fine timing estimator */
+ float t;
+ COMP x; /* Magic fine timing angle */
+ float norm_rx_timing,old_norm_rx_timing,d_norm_rx_timing,appm;
+ int rx_timing,sample_offset;
+ int next_nin;
+ float apeven,apodd; /* Approx. prob of even or odd stream being correct */
+ float currv,mdiff,lastv;
+ int neyesamp;
+ int neyeoffset;
+ float eye_max;
+ uint8_t mbit;
+ float var_signal = 0, var_noise = 0, lastFabsV;
+
+ /* Shift in nin samples */
+ memmove(&oldsamps[0] , &oldsamps[nmem-nold], sizeof(float)*nold);
+ memcpy (&oldsamps[nold], &fmfsk_in[0] , sizeof(float)*nin );
+
+ /* Allocate memory for filtering */
+ float *rx_filt = malloc(sizeof(float)*(nsym+1)*Ts);
+
+ /* Integrate over Ts input symbols at every offset */
+ for(i=0; i<(nsym+1)*Ts; i++){
+ t=0;
+ /* Integrate over some samples */
+ for(j=i;j<i+Ts;j++){
+ t += oldsamps[j];
+ }
+ rx_filt[i] = t;
+ }
+
+ /*
+ * Fine timing estimation
+ *
+ * Estimate fine timing using line at Rs/2 that Manchester encoding provides
+ * We need this to sync up to Manchester codewords.
+ */
+
+ /* init fine timing extractor */
+ phi_ft.real = 1;
+ phi_ft.imag = 0;
+
+ /* Set up delta-phase */
+ dphi_ft.real = cosf(2*M_PI*((float)Rs)/((float)Fs));
+ dphi_ft.imag = sinf(2*M_PI*((float)Rs)/((float)Fs));
+
+ x.real = 0;
+ x.imag = 0;
+
+ for(i=0; i<(nsym+1)*Ts; i++){
+ /* Apply non-linearity */
+ t = rx_filt[i]*rx_filt[i];
+
+ /* Shift Rs/2 down to DC and accumulate */
+ x = cadd(x,fcmult(t,phi_ft));
+
+ /* Spin downshift oscillator */
+ phi_ft = cmult(dphi_ft,phi_ft);
+ modem_probe_samp_c("t_phi_ft",&phi_ft,1);
+ }
+
+ /* Figure out the normalized RX timing, using David's magic number */
+ norm_rx_timing = atan2f(x.imag,x.real)/(2*M_PI) - .42;
+ rx_timing = (int)lroundf(norm_rx_timing*(float)Ts);
+
+ old_norm_rx_timing = fmfsk->norm_rx_timing;
+ fmfsk->norm_rx_timing = norm_rx_timing;
+
+ /* Estimate sample clock offset */
+ d_norm_rx_timing = norm_rx_timing - old_norm_rx_timing;
+
+ /* Filter out big jumps in due to nin change */
+ if(fabsf(d_norm_rx_timing) < .2){
+ appm = 1e6*d_norm_rx_timing/(float)nsym;
+ fmfsk->ppm = .9*fmfsk->ppm + .1*appm;
+ }
+
+ /* Figure out how far offset the sample points are */
+ sample_offset = (Ts/2)+Ts+rx_timing-1;
+
+ /* Request fewer or greater samples next time, if fine timing is far
+ * enough off. This also makes it possible to tolerate clock offsets */
+ next_nin = N;
+ if(norm_rx_timing > -.2)
+ next_nin += Ts/2;
+ if(norm_rx_timing < -.65)
+ next_nin -= Ts/2;
+ fmfsk->nin = next_nin;
+
+ /* Make first diff of this round the last sample of the last round,
+ * for the odd stream */
+ lastv = fmfsk->lodd;
+ lastFabsV = fabs(lastv);
+ apeven = 0;
+ apodd = 0;
+ for(i=0; i<nsym; i++){
+ /* Sample a filtered value */
+ currv = rx_filt[sample_offset+(i*Ts)];
+ modem_probe_samp_f("t_symsamp",&currv,1);
+ mdiff = lastv - currv;
+ mbit = mdiff>0 ? 1 : 0;
+ lastv = currv;
+
+ // Calculate the signal variance. Note that the mean is zero
+ var_signal += currv * currv;
+
+ /* Calculate the variance of the noise between samples (symbols). A quick variance estimate
+ * without calculating mean can be done by differentiating (remove mean) and then
+ * dividing by 2. Fabs the samples as we are looking at how close the samples are to each
+ * other as if they were all the same polarity/symbol. */
+ currv = fabs(currv);
+ var_noise += (currv - lastFabsV) * (currv - lastFabsV);
+ lastFabsV = currv;
+
+ mdiff = mdiff>0 ? mdiff : 0-mdiff;
+
+ /* Put bit in it's stream */
+ if((i%2)==1){
+ apeven += mdiff;
+ /* Even stream goes in LSB */
+ rx_bits[i>>1] |= mbit ? 0x1 : 0x0;
+ }else{
+ apodd += mdiff;
+ /* Odd in second-to-LSB */
+ rx_bits[i>>1] = mbit ? 0x2 : 0x0;
+ }
+ }
+
+ /* Div by 2 to correct variance when doing via differentiation.*/
+ var_noise *= 0.5;
+
+ if(apeven>apodd){
+ /* Zero out odd bits from output bitstream */
+ for(i=0;i<nbit;i++)
+ rx_bits[i] &= 0x1;
+ }else{
+ /* Shift odd bits into LSB and even bits out of existence */
+ for(i=0;i<nbit;i++)
+ rx_bits[i] = (rx_bits[i]&0x2)>>1;
+ }
+
+ /* Save last sample of int stream for next demod round */
+ fmfsk->lodd = lastv;
+
+ /* Save demod statistics */
+ fmfsk->stats->Nc = 0;
+ fmfsk->stats->nr = 0;
+
+ /* Clock offset and RX timing are all we know here */
+ fmfsk->stats->clock_offset = fmfsk->ppm;
+ fmfsk->stats->rx_timing = (float)rx_timing;
+
+ /* Zero out all of the other things */
+ fmfsk->stats->foff = 0;
+
+ /* Use moving average to smooth SNR */
+ var_signal += 1E-6/3.1; var_noise += 1E-6; /* prevent NAN and bias towards -5dB SNR for zero signal inputs */
+ if(fmfsk->snr_mean < 0.1)
+ fmfsk->snr_mean = (10.0 * log10f(var_signal / var_noise));
+ else
+ fmfsk->snr_mean = 0.9 * fmfsk->snr_mean + 0.1 * (10.0 * log10f(var_signal / var_noise));
+ fmfsk->stats->snr_est = fmfsk->snr_mean;
+
+#ifndef __EMBEDDED__
+ /* Collect an eye diagram */
+ /* Take a sample for the eye diagrams */
+ neyesamp = fmfsk->stats->neyesamp = Ts*4;
+ neyeoffset = sample_offset+(Ts*2*28);
+
+ fmfsk->stats->neyetr = 8;
+ for(k=0; k<fmfsk->stats->neyetr; k++)
+ for(j=0; j<neyesamp; j++)
+ fmfsk->stats->rx_eye[k][j] = rx_filt[k*neyesamp+neyeoffset+j];
+ //fmfsk->stats->rx_eye[k][j] = fmfsk_in[k*neyesamp+neyeoffset+j];
+ eye_max = 0;
+
+ /* Normalize eye to +/- 1 */
+ for(i=0; i<fmfsk->stats->neyetr; i++)
+ for(j=0; j<neyesamp; j++)
+ if(fabsf(fmfsk->stats->rx_eye[i][j])>eye_max)
+ eye_max = fabsf(fmfsk->stats->rx_eye[i][j]);
+
+ for(i=0; i<fmfsk->stats->neyetr; i++)
+ for(j=0; j<neyesamp; j++)
+ fmfsk->stats->rx_eye[i][j] = (fmfsk->stats->rx_eye[i][j]/(2*eye_max))+.5;
+#endif // !__EMBEDDED__
+
+ modem_probe_samp_f("t_norm_rx_timing",&norm_rx_timing,1);
+ modem_probe_samp_f("t_rx_filt",rx_filt,(nsym+1)*Ts);
+
+ free(rx_filt);
+}