pabr-leansdr/src/leansdr/sdr.h

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// This file is part of LeanSDR Copyright (C) 2016-2018 <pabr@pabr.org>.
// See the toplevel README for more information.
//
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program. If not, see <http://www.gnu.org/licenses/>.
#ifndef LEANSDR_SDR_H
#define LEANSDR_SDR_H
#include "leansdr/math.h"
#include "leansdr/dsp.h"
namespace leansdr {
// Abbreviations for floating-point types
typedef float f32;
typedef complex<u8> cu8;
typedef complex<s8> cs8;
typedef complex<u16> cu16;
typedef complex<s16> cs16;
typedef complex<f32> cf32;
//////////////////////////////////////////////////////////////////////
// SDR blocks
//////////////////////////////////////////////////////////////////////
// AUTO-NOTCH FILTER
// Periodically detects the [nslots] strongest peaks with a FFT,
// removes them with a first-order filter.
template<typename T>
struct auto_notch : runnable {
int decimation;
float k;
auto_notch(scheduler *sch, pipebuf< complex<T> > &_in,
pipebuf< complex<T> > &_out, int _nslots,
T _agc_rms_setpoint)
: runnable(sch, "auto_notch"),
decimation(1024*4096), k(0.002), // k(0.01)
fft(4096),
in(_in), out(_out,fft.n),
nslots(_nslots), slots(new slot[nslots]),
phase(0), gain(1), agc_rms_setpoint(_agc_rms_setpoint) {
for ( int s=0; s<nslots; ++s ) {
slots[s].i = -1;
slots[s].expj = new complex<float>[fft.n];
}
}
void run() {
while ( in.readable()>=fft.n && out.writable()>=fft.n ) {
phase += fft.n;
if ( phase >= decimation ) {
phase -= decimation;
detect();
}
process();
in.read(fft.n);
out.written(fft.n);
}
}
void detect() {
complex<T> *pin = in.rd();
complex<float> data[fft.n];
float m0=0, m2=0;
for ( int i=0; i<fft.n; ++i ) {
data[i].re = pin[i].re;
data[i].im = pin[i].im;
m2 += (float)pin[i].re*pin[i].re + (float)pin[i].im*pin[i].im;
if ( gen_abs(pin[i].re) > m0 ) m0 = gen_abs(pin[i].re);
if ( gen_abs(pin[i].im) > m0 ) m0 = gen_abs(pin[i].im);
}
if ( agc_rms_setpoint && m2 ) {
float rms = gen_sqrt(m2/fft.n);
if ( sch->debug ) fprintf(stderr, "(pow %f max %f)", rms, m0);
float new_gain = agc_rms_setpoint / rms;
gain = gain*0.9 + new_gain*0.1;
}
fft.inplace(data, true);
float amp[fft.n];
for ( int i=0; i<fft.n; ++i ) amp[i] = hypotf(data[i].re, data[i].im);
for ( slot *s=slots; s<slots+nslots; ++s ) {
int iamax = 0;
for ( int i=0; i<fft.n; ++i )
if ( amp[i] > amp[iamax] ) iamax=i;
if ( iamax != s->i ) {
if ( sch->debug )
fprintf(stderr, "%s: slot %d new peak %d -> %d\n",
name, (int)(s-slots), s->i, iamax);
s->i = iamax;
s->estim.re = 0;
s->estim.im = 0;
s->estt = 0;
for ( int i=0; i<fft.n; ++i ) {
float a = 2 * M_PI * s->i * i / fft.n;
s->expj[i].re = cosf(a);
s->expj[i].im = sinf(a);
}
}
amp[iamax] = 0;
if ( iamax-1 >= 0 ) amp[iamax-1] = 0;
if ( iamax+1 < fft.n ) amp[iamax+1] = 0;
}
}
void process() {
complex<T> *pin=in.rd(), *pend=pin+fft.n, *pout=out.wr();
for ( slot *s=slots; s<slots+nslots; ++s ) s->ej = s->expj;
for ( ; pin<pend; ++pin,++pout ) {
complex<float> out = *pin;
// TODO Optimize for nslots==1 ?
for ( slot *s=slots; s<slots+nslots; ++s->ej,++s ) {
complex<float> bb(pin->re*s->ej->re + pin->im*s->ej->im,
-pin->re*s->ej->im + pin->im*s->ej->re);
s->estim.re = bb.re*k + s->estim.re*(1-k);
s->estim.im = bb.im*k + s->estim.im*(1-k);
complex<float> sub(s->estim.re*s->ej->re - s->estim.im*s->ej->im,
s->estim.re*s->ej->im + s->estim.im*s->ej->re);
out.re -= sub.re;
out.im -= sub.im;
}
pout->re = gain * out.re;
pout->im = gain * out.im;
}
}
private:
cfft_engine<float> fft;
pipereader< complex<T> > in;
pipewriter< complex<T> > out;
int nslots;
struct slot {
int i;
complex<float> estim;
complex<float> *expj, *ej;
int estt;
} *slots;
int phase;
float gain;
T agc_rms_setpoint;
};
// SIGNAL STRENGTH ESTIMATOR
// Outputs RMS values.
template<typename T>
struct ss_estimator : runnable {
unsigned long window_size; // Samples per estimation
unsigned long decimation; // Output rate
ss_estimator(scheduler *sch, pipebuf< complex<T> > &_in, pipebuf<T> &_out)
: runnable(sch, "SS estimator"),
window_size(1024), decimation(1024),
in(_in), out(_out),
phase(0) {
}
void run() {
while ( in.readable()>=window_size && out.writable()>=1 ) {
phase += window_size;
if ( phase >= decimation ) {
phase -= decimation;
complex<T> *p=in.rd(), *pend=p+window_size;
float s = 0;
for ( ; p<pend; ++p )
s += (float)p->re*p->re + (float)p->im*p->im;
out.write(sqrtf(s/window_size));
}
in.read(window_size);
}
}
private:
pipereader< complex<T> > in;
pipewriter<T> out;
unsigned long phase;
};
template<typename T>
struct ss_amp_estimator : runnable {
unsigned long window_size; // Samples per estimation
unsigned long decimation; // Output rate
ss_amp_estimator(scheduler *sch, pipebuf< complex<T> > &_in,
pipebuf<T> &_out_ss,
pipebuf<T> &_out_ampmin, pipebuf<T> &_out_ampmax)
: runnable(sch, "SS estimator"),
window_size(1024), decimation(1024),
in(_in), out_ss(_out_ss),
out_ampmin(_out_ampmin), out_ampmax(_out_ampmax),
phase(0) {
}
void run() {
while ( in.readable() >= window_size &&
out_ss.writable() >= 1 &&
out_ampmin.writable() >= 1 &&
out_ampmax.writable() >= 1 ) {
phase += window_size;
if ( phase >= decimation ) {
phase -= decimation;
complex<T> *p=in.rd(), *pend=p+window_size;
float s2 = 0;
float amin=1e38, amax=0;
for ( ; p<pend; ++p ) {
float mag2 = (float)p->re*p->re + (float)p->im*p->im;
s2 += mag2;
float mag = sqrtf(mag2);
if ( mag < amin ) amin = mag;
if ( mag > amax ) amax = mag;
}
out_ss.write(sqrtf(s2/window_size));
out_ampmin.write(amin);
out_ampmax.write(amax);
}
in.read(window_size);
}
}
private:
pipereader< complex<T> > in;
pipewriter<T> out_ss, out_ampmin, out_ampmax;
unsigned long phase;
};
// AGC
template<typename T>
struct simple_agc : runnable {
float out_rms; // Desired RMS output power
float bw; // Bandwidth
float estimated; // Input power
simple_agc(scheduler *sch,
pipebuf< complex<T> > &_in,
pipebuf< complex<T> > &_out)
: runnable(sch, "AGC"),
out_rms(1), bw(0.001), estimated(0),
in(_in), out(_out) {
}
private:
pipereader< complex<T> > in;
pipewriter< complex<T> > out;
static const int chunk_size = 128;
void run() {
while ( in.readable() >= chunk_size &&
out.writable() >= chunk_size ) {
complex<T> *pin=in.rd(), *pend=pin+chunk_size;
float amp2 = 0;
for ( ; pin<pend; ++pin ) amp2 += pin->re*pin->re + pin->im*pin->im;
amp2 /= chunk_size;
if ( ! estimated ) estimated = amp2;
estimated = estimated*(1-bw) + amp2*bw;
float gain = estimated ? out_rms / sqrtf(estimated) : 0;
pin = in.rd();
complex<T> *pout = out.wr();
float bwcomp = 1 - bw;
for ( ; pin<pend; ++pin,++pout ) {
pout->re = pin->re * gain;
pout->im = pin->im * gain;
}
in.read(chunk_size);
out.written(chunk_size);
}
}
}; // simple_agc
typedef uint16_t u_angle; // [0,2PI[ in 65536 steps
typedef int16_t s_angle; // [-PI,PI[ in 65536 steps
// GENERIC CONSTELLATION DECODING BY LOOK-UP TABLE.
// Metrics and phase errors are pre-computed on a RxR grid.
// R must be a power of 2.
// Up to 256 symbols.
struct softsymbol {
int16_t cost; // For Viterbi with TBM=int16_t
uint8_t symbol;
};
// Target RMS amplitude for AGC
//const float cstln_amp = 73; // Best for 32APSK 9/10
//const float cstln_amp = 90; // Best for QPSK
//const float cstln_amp = 64; // Best for BPSK
//const float cstln_amp = 75; // Best for BPSK at 45°
const float cstln_amp = 75; // Trade-off
template<int R>
struct cstln_lut {
complex<signed char> *symbols;
int nsymbols;
int nrotations;
enum predef {
BPSK, // DVB-S2 (and DVB-S variant)
QPSK, // DVB-S
PSK8, APSK16, APSK32, // DVB-S2
APSK64E, // DVB-S2X
QAM16, QAM64, QAM256 // For experimentation only
};
cstln_lut(predef type, float gamma1=1, float gamma2=1, float gamma3=1) {
switch ( type ) {
case BPSK:
nrotations = 2;
nsymbols = 2;
symbols = new complex<signed char>[nsymbols];
#if 0 // BPSK at 0°
symbols[0] = polar(1, 2, 0);
symbols[1] = polar(1, 2, 1);
#else // BPSK at 45°
symbols[0] = polar(1, 8, 1);
symbols[1] = polar(1, 8, 5);
#endif
make_lut_from_symbols();
break;
case QPSK:
// EN 300 421, section 4.5 Baseband shaping and modulation
// EN 302 307, section 5.4.1
nrotations = 4;
nsymbols = 4;
symbols = new complex<signed char>[nsymbols];
symbols[0] = polar(1, 4, 0.5);
symbols[1] = polar(1, 4, 3.5);
symbols[2] = polar(1, 4, 1.5);
symbols[3] = polar(1, 4, 2.5);
make_lut_from_symbols();
break;
case PSK8:
// EN 302 307, section 5.4.2
nrotations = 8;
nsymbols = 8;
symbols = new complex<signed char>[nsymbols];
symbols[0] = polar(1, 8, 1);
symbols[1] = polar(1, 8, 0);
symbols[2] = polar(1, 8, 4);
symbols[3] = polar(1, 8, 5);
symbols[4] = polar(1, 8, 2);
symbols[5] = polar(1, 8, 7);
symbols[6] = polar(1, 8, 3);
symbols[7] = polar(1, 8, 6);
make_lut_from_symbols();
break;
case APSK16: {
// EN 302 307, section 5.4.3
float r1 = sqrtf(4 / (1+3*gamma1*gamma1));
float r2 = gamma1 * r1;
nrotations = 4;
nsymbols = 16;
symbols = new complex<signed char>[nsymbols];
symbols[0] = polar(r2, 12, 1.5);
symbols[1] = polar(r2, 12, 10.5);
symbols[2] = polar(r2, 12, 4.5);
symbols[3] = polar(r2, 12, 7.5);
symbols[4] = polar(r2, 12, 0.5);
symbols[5] = polar(r2, 12, 11.5);
symbols[6] = polar(r2, 12, 5.5);
symbols[7] = polar(r2, 12, 6.5);
symbols[8] = polar(r2, 12, 2.5);
symbols[9] = polar(r2, 12, 9.5);
symbols[10] = polar(r2, 12, 3.5);
symbols[11] = polar(r2, 12, 8.5);
symbols[12] = polar(r1, 4, 0.5);
symbols[13] = polar(r1, 4, 3.5);
symbols[14] = polar(r1, 4, 1.5);
symbols[15] = polar(r1, 4, 2.5);
make_lut_from_symbols();
break;
}
case APSK32: {
// EN 302 307, section 5.4.3
float r1 = sqrtf(8 / (1+3*gamma1*gamma1+4*gamma2*gamma2));
float r2 = gamma1 * r1;
float r3 = gamma2 * r1;
nrotations = 4;
nsymbols = 32;
symbols = new complex<signed char>[nsymbols];
symbols[0] = polar(r2, 12, 1.5);
symbols[1] = polar(r2, 12, 2.5);
symbols[2] = polar(r2, 12, 10.5);
symbols[3] = polar(r2, 12, 9.5);
symbols[4] = polar(r2, 12, 4.5);
symbols[5] = polar(r2, 12, 3.5);
symbols[6] = polar(r2, 12, 7.5);
symbols[7] = polar(r2, 12, 8.5);
symbols[8] = polar(r3, 16, 1 );
symbols[9] = polar(r3, 16, 3 );
symbols[10] = polar(r3, 16, 14 );
symbols[11] = polar(r3, 16, 12 );
symbols[12] = polar(r3, 16, 6 );
symbols[13] = polar(r3, 16, 4 );
symbols[14] = polar(r3, 16, 9 );
symbols[15] = polar(r3, 16, 11 );
symbols[16] = polar(r2, 12, 0.5);
symbols[17] = polar(r1, 4, 0.5);
symbols[18] = polar(r2, 12, 11.5);
symbols[19] = polar(r1, 4, 3.5);
symbols[20] = polar(r2, 12, 5.5);
symbols[21] = polar(r1, 4, 1.5);
symbols[22] = polar(r2, 12, 6.5);
symbols[23] = polar(r1, 4, 2.5);
symbols[24] = polar(r3, 16, 0 );
symbols[25] = polar(r3, 16, 2 );
symbols[26] = polar(r3, 16, 15 );
symbols[27] = polar(r3, 16, 13 );
symbols[28] = polar(r3, 16, 7 );
symbols[29] = polar(r3, 16, 5 );
symbols[30] = polar(r3, 16, 8 );
symbols[31] = polar(r3, 16, 10 );
make_lut_from_symbols();
break;
}
case APSK64E: {
// EN 302 307-2, section 5.4.5, Table 13e
float r1 =
sqrtf(64 / (4+12*gamma1*gamma1+20*gamma2*gamma2+28*gamma3*gamma3));
float r2 = gamma1 * r1;
float r3 = gamma2 * r1;
float r4 = gamma3 * r1;
nrotations = 4;
nsymbols = 64;
symbols = new complex<signed char>[nsymbols];
polar2( 0, r4, 1.0/ 4, 7.0/4, 3.0/ 4, 5.0/ 4);
polar2( 4, r4, 13.0/28, 43.0/28, 15.0/28, 41.0/28);
polar2( 8, r4, 1.0/28, 55.0/28, 27.0/28, 29.0/28);
polar2(12, r1, 1.0/ 4, 7.0/ 4, 3.0/ 4, 5.0/ 4);
polar2(16, r4, 9.0/28, 47.0/28, 19.0/28, 37.0/28);
polar2(20, r4, 11.0/28, 45.0/28, 17.0/28, 39.0/28);
polar2(24, r3, 1.0/20, 39.0/20, 19.0/20, 21.0/20);
polar2(28, r2, 1.0/12, 23.0/12, 11.0/12, 13.0/12);
polar2(32, r4, 5.0/28, 51.0/28, 23.0/28, 33.0/28);
polar2(36, r3, 9.0/20, 31.0/20, 11.0/20, 29.0/20);
polar2(40, r4, 3.0/28, 53.0/28, 25.0/28, 31.0/28);
polar2(44, r2, 5.0/12, 19.0/12, 7.0/12, 17.0/12);
polar2(48, r3, 1.0/ 4, 7.0/ 4, 3.0/ 4, 5.0/ 4);
polar2(52, r3, 7.0/20, 33.0/20, 13.0/20, 27.0/20);
polar2(56, r3, 3.0/20, 37.0/20, 17.0/20, 23.0/20);
polar2(60, r2, 1.0/ 4, 7.0/ 4, 3.0/ 4, 5.0/ 4);
make_lut_from_symbols();
break;
}
case QAM16:
make_qam(16);
break;
case QAM64:
make_qam(64);
break;
case QAM256:
make_qam(256);
break;
default:
fail("Constellation not implemented");
}
}
struct result {
struct softsymbol ss;
s_angle phase_error;
};
inline result *lookup(float I, float Q) {
// Handling of overflows beyond the lookup table:
// - For BPSK/QPSK/8PSK we only care about the phase,
// so the following is harmless and improves locking at low SNR.
// - For amplitude modulations this is not appropriate.
// However, if there is enough noise to cause overflow,
// demodulation would probably fail anyway.
//
// Comment-out for better throughput at high SNR.
#if 1
while ( I<-128 || I>127 || Q<-128 || Q>127 ) {
I *= 0.5;
Q *= 0.5;
}
#endif
return &lut[(u8)(s8)I][(u8)(s8)Q];
}
inline result *lookup(int I, int Q) {
// Ignore wrapping modulo 256
return &lut[(u8)I][(u8)Q];
}
private:
complex<signed char> polar(float r, int n, float i) {
float a = i * 2*M_PI / n;
return complex<signed char>(r*cosf(a)*cstln_amp, r*sinf(a)*cstln_amp);
}
// Helper function for some constellation tables
void polar2(int i, float r, float a0, float a1, float a2, float a3) {
float a[] = { a0, a1, a2, a3 };
for ( int j=0; j<4; ++j ) {
float phi = a[j] * M_PI;
symbols[i+j] = complex<signed char>(r*cosf(phi)*cstln_amp,
r*sinf(phi)*cstln_amp);
}
}
void make_qam(int n) {
nrotations = 4;
nsymbols = n;
symbols = new complex<signed char>[nsymbols];
int m = sqrtl(n);
float scale;
{ // Average power in first quadrant with unit grid
int q = m / 2;
float avgpower = 2*(q*0.25+(q-1)*q/2+(q-1)*q*(2*q-1)/6) / q;
scale = 1.0 / sqrtf(avgpower);
}
// Arbitrary mapping
int s = 0;
for ( int x=0; x<m; ++x )
for ( int y=0; y<m; ++y ) {
float I = x - (float)(m-1)/2;
float Q = y - (float)(m-1)/2;
symbols[s].re = I * scale * cstln_amp;
symbols[s].im = Q * scale * cstln_amp;
++s;
}
make_lut_from_symbols();
}
result lut[R][R];
void make_lut_from_symbols() {
for ( int I=-R/2; I<R/2; ++I )
for ( int Q=-R/2; Q<R/2; ++Q ) {
result *pr = &lut[I&(R-1)][Q&(R-1)];
// Simplified metric:
// Distance to nearest minus distance to second-nearest.
// Null at edge of decision regions
// => Suitable for Viterbi with partial metrics.
uint8_t nearest = 0;
int32_t cost=R*R*2, cost2=R*R*2;
for ( int s=0; s<nsymbols; ++s ) {
int32_t d2 =
(I-symbols[s].re)*(I-symbols[s].re) +
(Q-symbols[s].im)*(Q-symbols[s].im);
if ( d2 < cost ) {
cost2 = cost;
cost = d2;
nearest = s;
} else if ( d2 < cost2 ) {
cost2 = d2;
}
}
if ( cost > 32767 ) cost = 32767;
if ( cost2 > 32767 ) cost2 = 32767;
pr->ss.cost = cost - cost2;
pr->ss.symbol = nearest;
float ph_symbol = atan2f(symbols[pr->ss.symbol].im,
symbols[pr->ss.symbol].re);
float ph_err = atan2f(Q,I) - ph_symbol;
pr->phase_error = (s32)(ph_err * 65536 / (2*M_PI)); // Mod 65536
}
}
public:
// Convert soft metric to Hamming distance
void harden() {
for ( int i=0; i<R; ++i )
for ( int q=0; q<R; ++q ) {
softsymbol *ss = &lut[i][q].ss;
if ( ss->cost < 0 ) ss->cost = -1;
if ( ss->cost > 0 ) ss->cost = 1;
} // for I,Q
}
}; // cstln_lut
static const char *cstln_names[] = {
[cstln_lut<256>::BPSK] = "BPSK",
[cstln_lut<256>::QPSK] = "QPSK",
[cstln_lut<256>::PSK8] = "8PSK",
[cstln_lut<256>::APSK16] = "16APSK",
[cstln_lut<256>::APSK32] = "32APSK",
[cstln_lut<256>::APSK64E] = "64APSKe",
[cstln_lut<256>::QAM16] = "16QAM",
[cstln_lut<256>::QAM64] = "64QAM",
[cstln_lut<256>::QAM256] = "256QAM"
};
// SAMPLER INTERFACE FOR CSTLN_RECEIVER
template<typename T>
struct sampler_interface {
virtual complex<T> interp(const complex<T> *pin, float mu, float phase) = 0;
virtual void update_freq(float freqw) { } // 65536 = 1 Hz
virtual int readahead() { return 0; }
};
// NEAREST-SAMPLE SAMPLER FOR CSTLN_RECEIVER
// Suitable for bandpass-filtered, oversampled signals only
template<typename T>
struct nearest_sampler : sampler_interface<T> {
int readahead() { return 0; }
complex<T> interp(const complex<T> *pin, float mu, float phase) {
return pin[0]*trig.expi(-phase);
}
private:
trig16 trig;
}; // nearest_sampler
// LINEAR SAMPLER FOR CSTLN_RECEIVER
template<typename T>
struct linear_sampler : sampler_interface<T> {
int readahead() { return 1; }
complex<T> interp(const complex<T> *pin, float mu, float phase) {
// Derotate pin[0] and pin[1]
complex<T> s0 = pin[0]*trig.expi(-phase);
complex<T> s1 = pin[1]*trig.expi(-(phase+freqw));
// Interpolate linearly
return s0*(1-mu) + s1*mu;
}
void update_freq(float _freqw) { freqw = _freqw; }
private:
trig16 trig;
float freqw;
}; // linear_sampler
// FIR SAMPLER FOR CSTLN_RECEIVER
template<typename T, typename Tc>
struct fir_sampler : sampler_interface<T> {
fir_sampler(int _ncoeffs, Tc *_coeffs, int _subsampling=1)
: ncoeffs(_ncoeffs), coeffs(_coeffs), subsampling(_subsampling),
shifted_coeffs(new complex<T>[ncoeffs]),
update_freq_phase(0)
{
}
int readahead() { return ncoeffs-1; }
complex<T> interp(const complex<T> *pin, float mu, float phase) {
// Apply FIR filter with subsampling
complex<T> acc(0, 0);
complex<T> *pc = shifted_coeffs + (int)((1-mu)*subsampling);
complex<T> *pcend = shifted_coeffs + ncoeffs;
if ( subsampling == 1 ) {
// Special case for heavily oversampled signals,
// where filtering is expensive.
// gcc-4.9.2 can vectorize this form with NEON on ARM.
while ( pc < pcend )
acc += (*pc++)*(*pin++);
} else {
// Not vectorized because the coefficients are not
// guaranteed to be contiguous in memory.
for ( ; pc<pcend; pc+=subsampling,++pin )
acc += (*pc)*(*pin);
}
// Derotate
return trig.expi(-phase) * acc;
}
void update_freq(float freqw) {
// Throttling: Update one coeff per 16 processed samples,
// to keep the overhead of freq tracking below about 10%.
update_freq_phase -= 128; // chunk_size of cstln_receiver
if ( update_freq_phase <= 0 ) {
update_freq_phase = ncoeffs*16;
do_update_freq(freqw);
}
}
private:
void do_update_freq(float freqw) {
float f = freqw / subsampling;
for ( int i=0; i<ncoeffs; ++i )
shifted_coeffs[i] = trig.expi(-f*(i-ncoeffs/2)) * coeffs[i];
}
trig16 trig;
int ncoeffs;
Tc *coeffs;
int subsampling;
cf32 *shifted_coeffs;
int update_freq_phase;
}; // fir_sampler
// CONSTELLATION RECEIVER
// Linear interpolation: good enough for 1.2 samples/symbol,
// but higher oversampling is recommended.
template<typename T>
struct cstln_receiver : runnable {
sampler_interface<T> *sampler;
cstln_lut<256> *cstln;
unsigned long meas_decimation; // Measurement rate
float omega, min_omega, max_omega; // Samples per symbol
float freqw, min_freqw, max_freqw; // Freq offs (65536 = 1 Hz)
float pll_adjustment;
bool allow_drift; // Follow carrier beyond safe limits
static const unsigned int chunk_size = 128;
float kest;
cstln_receiver(scheduler *sch,
sampler_interface<T> *_sampler,
pipebuf< complex<T> > &_in,
pipebuf<softsymbol> &_out,
pipebuf<float> *_freq_out=NULL,
pipebuf<float> *_ss_out=NULL,
pipebuf<float> *_mer_out=NULL,
pipebuf<cf32> *_cstln_out=NULL)
: runnable(sch, "Constellation receiver"),
sampler(_sampler),
cstln(NULL),
meas_decimation(1048576),
pll_adjustment(1.0),
allow_drift(false),
kest(0.01),
in(_in), out(_out, chunk_size),
est_insp(cstln_amp*cstln_amp), agc_gain(1),
mu(0), phase(0),
est_sp(0), est_ep(0),
meas_count(0) {
set_omega(1);
set_freq(0);
freq_out = _freq_out ? new pipewriter<float>(*_freq_out) : NULL;
ss_out = _ss_out ? new pipewriter<float>(*_ss_out) : NULL;
mer_out = _mer_out ? new pipewriter<float>(*_mer_out) : NULL;
cstln_out = _cstln_out ? new pipewriter<cf32>(*_cstln_out) : NULL;
memset(hist, 0, sizeof(hist));
}
void set_omega(float _omega, float tol=10e-6) {
omega = _omega;
min_omega = omega * (1-tol);
max_omega = omega * (1+tol);
update_freq_limits();
}
void set_freq(float freq) {
freqw = freq * 65536;
update_freq_limits();
refresh_freq_tap();
}
void set_allow_drift(bool d) {
allow_drift = d;
}
void update_freq_limits() {
// Prevent PLL from crossing +-SR/n/2 and locking at +-SR/n.
int n = 4;
if ( cstln ) {
switch ( cstln->nsymbols ) {
case 2: n = 2; break; // BPSK
case 4: n = 4; break; // QPSK
case 8: n = 8; break; // 8PSK
case 16: n = 12; break; // 16APSK
case 32: n = 16; break; // 32APSK
default: n = 4; break;
}
}
min_freqw = freqw - 65536/max_omega/n/2;
max_freqw = freqw + 65536/max_omega/n/2;
}
void run() {
if ( ! cstln ) fail("constellation not set");
// Magic constants that work with the qa recordings.
float freq_alpha = 0.04;
float freq_beta = 0.0012 / omega * pll_adjustment;
float gain_mu = 0.02 / (cstln_amp*cstln_amp) * 2;
int max_meas = chunk_size/meas_decimation + 1;
// Large margin on output_size because mu adjustments
// can lead to more than chunk_size/min_omega symbols.
while ( in.readable() >= chunk_size+sampler->readahead() &&
out.writable() >= chunk_size &&
( !freq_out || freq_out ->writable()>=max_meas ) &&
( !ss_out || ss_out ->writable()>=max_meas ) &&
( !mer_out || mer_out ->writable()>=max_meas ) &&
( !cstln_out || cstln_out->writable()>=max_meas ) ) {
sampler->update_freq(freqw);
complex<T> *pin=in.rd(), *pin0=pin, *pend=pin+chunk_size;
softsymbol *pout=out.wr(), *pout0=pout;
// These are scoped outside the loop for SS and MER estimation.
complex<float> sg; // Symbol before AGC;
complex<float> s; // For MER estimation and constellation viewer
complex<signed char> *cstln_point = NULL;
while ( pin < pend ) {
// Here mu is the time of the next symbol counted from 0 at pin.
if ( mu < 1 ) {
// Here 0<=mu<1 is the fractional time of the next symbol
// between pin and pin+1.
sg = sampler->interp(pin, mu, phase);
s = sg * agc_gain;
// Constellation look-up
cstln_lut<256>::result *cr = cstln->lookup(s.re, s.im);
*pout = cr->ss;
++pout;
// PLL
phase += cr->phase_error * freq_alpha;
freqw += cr->phase_error * freq_beta;
// Modified Mueller and Müller
// mu[k]=real((c[k]-c[k-2])*conj(p[k-1])-(p[k]-p[k-2])*conj(c[k-1]))
// =dot(c[k]-c[k-2],p[k-1]) - dot(p[k]-p[k-2],c[k-1])
// p = received signals
// c = decisions (constellation points)
hist[2] = hist[1];
hist[1] = hist[0];
hist[0].p.re = s.re;
hist[0].p.im = s.im;
cstln_point = &cstln->symbols[cr->ss.symbol];
hist[0].c.re = cstln_point->re;
hist[0].c.im = cstln_point->im;
float muerr =
( (hist[0].p.re-hist[2].p.re)*hist[1].c.re +
(hist[0].p.im-hist[2].p.im)*hist[1].c.im ) -
( (hist[0].c.re-hist[2].c.re)*hist[1].p.re +
(hist[0].c.im-hist[2].c.im)*hist[1].p.im );
float mucorr = muerr * gain_mu;
const float max_mucorr = 0.1;
// TBD Optimize out statically
if ( mucorr < -max_mucorr ) mucorr = -max_mucorr;
if ( mucorr > max_mucorr ) mucorr = max_mucorr;
mu += mucorr;
mu += omega; // Next symbol time;
} // mu<1
// Next sample
++pin;
--mu;
phase += freqw;
} // chunk_size
in.read(pin-pin0);
out.written(pout-pout0);
// Normalize phase so that it never exceeds 32 bits.
// Max freqw is 2^31/65536/chunk_size = 256 Hz
// (this may happen with leandvb --drift --decim).
phase = fmodf(phase, 65536);
if ( cstln_point ) {
// Output the last interpolated PSK symbol, max once per chunk_size
if ( cstln_out )
cstln_out->write(s);
// AGC
// For APSK we must do AGC on the symbols, not the whole signal.
// TODO Use a better estimator at low SNR.
float insp = sg.re*sg.re + sg.im*sg.im;
est_insp = insp*kest + est_insp*(1-kest);
if ( est_insp )
agc_gain = cstln_amp / gen_sqrt(est_insp);
// SS and MER
complex<float> ev(s.re-cstln_point->re, s.im-cstln_point->im);
float sig_power, ev_power;
if ( cstln->nsymbols == 2 ) {
// Special case for BPSK: Ignore quadrature component of noise.
// TBD Projection on I axis assumes BPSK at 45°
float sig_real = (cstln_point->re+cstln_point->im) * 0.707;
float ev_real = (ev.re+ev.im) * 0.707;
sig_power = sig_real * sig_real;
ev_power = ev_real * ev_real;
} else {
sig_power =
(int)cstln_point->re*cstln_point->re +
(int)cstln_point->im*cstln_point->im;
ev_power = ev.re*ev.re + ev.im*ev.im;
}
est_sp = sig_power*kest + est_sp*(1-kest);
est_ep = ev_power*kest + est_ep*(1-kest);
}
// This is best done periodically ouside the inner loop,
// but will cause non-deterministic output.
if ( ! allow_drift ) {
if ( freqw < min_freqw || freqw > max_freqw )
freqw = (max_freqw+min_freqw) / 2;
}
// Output measurements
refresh_freq_tap();
meas_count += pin-pin0;
while ( meas_count >= meas_decimation ) {
meas_count -= meas_decimation;
if ( freq_out )
freq_out->write(freq_tap);
if ( ss_out )
ss_out->write(sqrtf(est_insp));
if ( mer_out )
mer_out->write(est_ep ? 10*logf(est_sp/est_ep)/logf(10) : 0);
}
} // Work to do
}
float freq_tap;
void refresh_freq_tap() {
freq_tap = freqw / 65536;
}
private:
struct {
complex<float> p; // Received symbol
complex<float> c; // Matched constellation point
} hist[3];
pipereader< complex<T> > in;
pipewriter<softsymbol> out;
float est_insp, agc_gain;
float mu; // PSK time expressed in clock ticks
float phase; // 65536=2pi
// Signal estimation
float est_sp; // Estimated RMS signal power
float est_ep; // Estimated RMS error vector power
unsigned long meas_count;
pipewriter<float> *freq_out, *ss_out, *mer_out;
pipewriter<cf32> *cstln_out;
};
// FAST QPSK RECEIVER
// Optimized for u8 input, no AGC, uses phase information only.
// Outputs hard symbols.
template<typename T>
struct fast_qpsk_receiver : runnable {
typedef u8 hardsymbol;
unsigned long meas_decimation; // Measurement rate
float omega, min_omega, max_omega; // Samples per symbol
signed long freqw, min_freqw, max_freqw; // Freq offs (angle per sample)
float pll_adjustment;
bool allow_drift; // Follow carrier beyond safe limits
static const unsigned int chunk_size = 128;
fast_qpsk_receiver(scheduler *sch,
pipebuf< complex<T> > &_in,
pipebuf<hardsymbol> &_out,
pipebuf<float> *_freq_out=NULL,
pipebuf< complex<T> > *_cstln_out=NULL)
: runnable(sch, "Fast QPSK receiver"),
meas_decimation(1048576),
pll_adjustment(1.0),
allow_drift(false),
in(_in), out(_out, chunk_size),
mu(0), phase(0),
meas_count(0)
{
set_omega(1);
set_freq(0);
freq_out = _freq_out ? new pipewriter<float>(*_freq_out) : NULL;
cstln_out = _cstln_out ? new pipewriter< complex<T> >(*_cstln_out) : NULL;
memset(hist, 0, sizeof(hist));
init_lookup_tables();
}
void set_omega(float _omega, float tol=10e-6) {
omega = _omega;
min_omega = omega * (1-tol);
max_omega = omega * (1+tol);
update_freq_limits();
}
void set_freq(float freq) {
freqw = freq * 65536;
update_freq_limits();
}
void update_freq_limits() {
// Prevent PLL from locking at +-symbolrate/4.
// TODO The +-SR/8 limit is suitable for QPSK only.
min_freqw = freqw - 65536/max_omega/8;
max_freqw = freqw + 65536/max_omega/8;
}
static const int RLUT_BITS = 8;
static const int RLUT_ANGLES = 1 << RLUT_BITS;
void run() {
// Magic constants that work with the qa recordings.
signed long freq_alpha = 0.04 * 65536;
signed long freq_beta = 0.0012 * 256 * 65536 / omega * pll_adjustment;
if ( ! freq_beta ) fail("Excessive oversampling");
float gain_mu = 0.02 / (cstln_amp*cstln_amp) * 2;
int max_meas = chunk_size/meas_decimation + 1;
// Largin margin on output_size because mu adjustments
// can lead to more than chunk_size/min_omega symbols.
while ( in.readable() >= chunk_size+1 && // +1 for interpolation
out.writable() >= chunk_size &&
( !freq_out || freq_out ->writable()>=max_meas ) &&
( !cstln_out || cstln_out->writable()>=max_meas ) ) {
complex<T> *pin=in.rd(), *pin0=pin, *pend=pin+chunk_size;
hardsymbol *pout=out.wr(), *pout0=pout;
cu8 s;
u_angle symbol_arg = 0; // Exported for constellation viewer
while ( pin < pend ) {
// Here mu is the time of the next symbol counted from 0 at pin.
if ( mu < 1 ) {
// Here 0<=mu<1 is the fractional time of the next symbol
// between pin and pin+1.
// Derotate and interpolate
#if 0 // Phase only (does not work)
// Careful with the float/signed/unsigned casts
u_angle a0 = fast_arg(pin[0]) - phase;
u_angle a1 = fast_arg(pin[1]) - (phase+freqw);
s_angle da = a1 - a0;
symbol_arg = a0 + (s_angle)(da*mu);
s = arg_to_symbol(symbol_arg);
#elif 1 // Linear by lookup-table. 1.2M on bench3bishs
polar *p0 = &lut_polar[pin[0].re][pin[0].im];
u_angle a0 = (u_angle)(p0->a-phase) >> (16-RLUT_BITS);
cu8 *p0r = &lut_rect[a0][p0->r>>1];
polar *p1 = &lut_polar[pin[1].re][pin[1].im];
u_angle a1 = (u_angle)(p1->a-(phase+freqw)) >> (16-RLUT_BITS);
cu8 *p1r = &lut_rect[a1][p1->r>>1];
s.re = (int)(p0r->re + (p1r->re-p0r->re)*mu);
s.im = (int)(p0r->im + (p1r->im-p0r->im)*mu);
symbol_arg = fast_arg(s);
#else // Linear floating-point, for reference
float a0 = -(int)phase*M_PI/32768;
float cosa0=cosf(a0), sina0=sinf(a0);
complex<float>
p0r(((float)pin[0].re-128)*cosa0 - ((float)pin[0].im-128)*sina0,
((float)pin[0].re-128)*sina0 + ((float)pin[0].im-128)*cosa0);
float a1 = -(int)(phase+freqw)*M_PI/32768;
float cosa1=cosf(a1), sina1=sinf(a1);
complex<float>
p1r(((float)pin[1].re-128)*cosa1 - ((float)pin[1].im-128)*sina1,
((float)pin[1].re-128)*sina1 + ((float)pin[1].im-128)*cosa1);
s.re = (int)(128 + p0r.re + (p1r.re-p0r.re)*mu);
s.im = (int)(128 + p0r.im + (p1r.im-p0r.im)*mu);
symbol_arg = fast_arg(s);
#endif
int quadrant = symbol_arg >> 14;
static unsigned char quadrant_to_symbol[4] = { 0, 2, 3, 1 };
*pout = quadrant_to_symbol[quadrant];
++pout;
// PLL
s_angle phase_error = (s_angle)(symbol_arg&16383) - 8192;
phase += (phase_error * freq_alpha + 32768) >> 16;
freqw += (phase_error * freq_beta + 32768*256) >> 24;
// Modified Mueller and Müller
// mu[k]=real((c[k]-c[k-2])*conj(p[k-1])-(p[k]-p[k-2])*conj(c[k-1]))
// =dot(c[k]-c[k-2],p[k-1]) - dot(p[k]-p[k-2],c[k-1])
// p = received signals
// c = decisions (constellation points)
hist[2] = hist[1];
hist[1] = hist[0];
#define HIST_FLOAT 0
#if HIST_FLOAT
hist[0].p.re = (float)s.re - 128;
hist[0].p.im = (float)s.im - 128;
cu8 cp = arg_to_symbol((symbol_arg&49152)+8192);
hist[0].c.re = (float)cp.re - 128;
hist[0].c.im = (float)cp.im - 128;
float muerr =
( (hist[0].p.re-hist[2].p.re)*hist[1].c.re +
(hist[0].p.im-hist[2].p.im)*hist[1].c.im ) -
( (hist[0].c.re-hist[2].c.re)*hist[1].p.re +
(hist[0].c.im-hist[2].c.im)*hist[1].p.im );
#else
hist[0].p = s;
hist[0].c = arg_to_symbol((symbol_arg&49152)+8192);
int muerr =
( (signed char)(hist[0].p.re-hist[2].p.re)*((int)hist[1].c.re-128) +
(signed char)(hist[0].p.im-hist[2].p.im)*((int)hist[1].c.im-128) ) -
( (signed char)(hist[0].c.re-hist[2].c.re)*((int)hist[1].p.re-128) +
(signed char)(hist[0].c.im-hist[2].c.im)*((int)hist[1].p.im-128) );
#endif
float mucorr = muerr * gain_mu;
const float max_mucorr = 0.1;
// TBD Optimize out statically
if ( mucorr < -max_mucorr ) mucorr = -max_mucorr;
if ( mucorr > max_mucorr ) mucorr = max_mucorr;
mu += mucorr;
mu += omega; // Next symbol time;
} // mu<1
// Next sample
++pin;
--mu;
phase += freqw;
} // chunk_size
in.read(pin-pin0);
out.written(pout-pout0);
if ( symbol_arg && cstln_out )
// Output the last interpolated PSK symbol, max once per chunk_size
cstln_out->write(s);
// This is best done periodically ouside the inner loop,
// but will cause non-deterministic output.
if ( ! allow_drift ) {
if ( freqw < min_freqw || freqw > max_freqw )
freqw = (max_freqw+min_freqw) / 2;
}
// Output measurements
meas_count += pin-pin0;
while ( meas_count >= meas_decimation ) {
meas_count -= meas_decimation;
if ( freq_out )
freq_out->write((float)freqw / 65536);
}
} // Work to do
}
private:
struct polar { u_angle a; unsigned char r; } lut_polar[256][256];
u_angle fast_arg(const cu8 &c) {
// TBD read cu8 as u16 index, same endianness as in init()
return lut_polar[c.re][c.im].a;
}
cu8 lut_rect[RLUT_ANGLES][256];
cu8 lut_sincos[65536];
cu8 arg_to_symbol(u_angle a) { return lut_sincos[a]; }
void init_lookup_tables() {
for ( int i=0; i<256; ++i )
for ( int q=0; q<256; ++q ) {
// Don't cast float to unsigned directly
lut_polar[i][q].a = (s_angle)(atan2f(q-128,i-128)*65536/(2*M_PI));
lut_polar[i][q].r = (int)hypotf(i-128,q-128);
}
for ( unsigned long a=0; a<65536; ++a ) {
float f = 2*M_PI * a / 65536;
lut_sincos[a].re = 128 + cstln_amp*cosf(f);
lut_sincos[a].im = 128 + cstln_amp*sinf(f);
}
for ( int a=0; a<RLUT_ANGLES; ++a )
for ( int r=0; r<256; ++r ) {
lut_rect[a][r].re = (int)(128 + r*cos(2*M_PI*a/RLUT_ANGLES));
lut_rect[a][r].im = (int)(128 + r*sin(2*M_PI*a/RLUT_ANGLES));
}
}
struct {
#if HIST_FLOAT
complex<float> p; // Received symbol
complex<float> c; // Matched constellation point
#else
cu8 p; // Received symbol
cu8 c; // Matched constellation point
#endif
} hist[3];
pipereader<cu8> in;
pipewriter<hardsymbol> out;
float mu; // PSK time expressed in clock ticks. TBD fixed point.
u_angle phase;
unsigned long meas_count;
pipewriter<float> *freq_out, *mer_out;
pipewriter<cu8> *cstln_out;
}; // fast_qpsk_receiver
// CONSTELLATION TRANSMITTER
// Maps symbols to I/Q points.
template<typename Tout, int Zout>
struct cstln_transmitter : runnable {
cstln_lut<256> *cstln;
cstln_transmitter(scheduler *sch,
pipebuf<u8> &_in, pipebuf< complex<Tout> > &_out)
: runnable(sch, "cstln_transmitter"),
in(_in), out(_out)
{
}
void run() {
if ( ! cstln ) fail("constellation not set");
int count = min(in.readable(), out.writable());
u8 *pin=in.rd(), *pend=pin+count;
complex<Tout> *pout = out.wr();
for ( ; pin<pend; ++pin,++pout ) {
complex<signed char> *cp = &cstln->symbols[*pin];
pout->re = Zout + cp->re;
pout->im = Zout + cp->im;
}
in.read(count);
out.written(count);
}
private:
pipereader<u8> in;
pipewriter< complex<Tout> > out;
}; // cstln_transmitter
// FREQUENCY SHIFTER
// Resolution is sample_freq/65536.
template<typename T>
struct rotator : runnable {
rotator(scheduler *sch, pipebuf< complex<T> > &_in,
pipebuf< complex<T> > &_out, float freq)
: runnable(sch, "rotator"),
in(_in), out(_out), index(0) {
int ifreq = freq * 65536;
if ( sch->debug )
fprintf(stderr, "Rotate: req=%f real=%f\n", freq, ifreq/65536.0);
for ( int i=0; i<65536; ++i ) {
lut_cos[i] = cosf(2*M_PI * i * ifreq / 65536);
lut_sin[i] = sinf(2*M_PI * i * ifreq / 65536);
}
}
void run() {
unsigned long count = min(in.readable(), out.writable());
complex<T> *pin = in.rd(), *pend = pin+count;
complex<T> *pout = out.wr();
for ( ; pin<pend; ++pin,++pout,++index ) {
float c = lut_cos[index];
float s = lut_sin[index];
pout->re = pin->re*c - pin->im*s;
pout->im = pin->re*s + pin->im*c;
}
in.read(count);
out.written(count);
}
private:
pipereader< complex<T> > in;
pipewriter< complex<T> > out;
float lut_cos[65536];
float lut_sin[65536];
unsigned short index; // Current phase
}; // rotator
// SPECTRUM-BASED CNR ESTIMATOR
// Assumes that the spectrum is as follows:
//
// ---|--noise---|-roll-off-|---carrier+noise----|-roll-off-|---noise--|---
// | (bw/2) | (bw) | (bw/2) | (bw) | (bw/2) |
//
// Maximum roll-off 0.5
template<typename T>
struct cnr_fft : runnable {
cnr_fft(scheduler *sch, pipebuf< complex<T> > &_in, pipebuf<float> &_out,
float _bandwidth, int nfft=4096)
: runnable(sch, "cnr_fft"),
bandwidth(_bandwidth), freq_tap(NULL), tap_multiplier(1),
decimation(1048576), kavg(0.1),
in(_in), out(_out),
fft(nfft), avgpower(NULL), phase(0) {
if ( bandwidth > 0.25 )
fail("CNR estimator requires Fsampling > 4x Fsignal");
}
float bandwidth;
float *freq_tap, tap_multiplier;
int decimation;
float kavg;
void run() {
while ( in.readable()>=fft.n && out.writable()>=1 ) {
phase += fft.n;
if ( phase >= decimation ) {
phase -= decimation;
do_cnr();
}
in.read(fft.n);
}
}
private:
void do_cnr() {
float center_freq = freq_tap ? *freq_tap * tap_multiplier : 0;
int icf = floor(center_freq*fft.n+0.5);
complex<T> data[fft.n];
memcpy(data, in.rd(), fft.n*sizeof(data[0]));
fft.inplace(data, true);
T power[fft.n];
for ( int i=0; i<fft.n; ++i )
power[i] = data[i].re*data[i].re + data[i].im*data[i].im;
if ( ! avgpower ) {
// Initialize with first spectrum
avgpower = new T[fft.n];
memcpy(avgpower, power, fft.n*sizeof(avgpower[0]));
}
// Accumulate and low-pass filter
for ( int i=0; i<fft.n; ++i )
avgpower[i] = avgpower[i]*(1-kavg) + power[i]*kavg;
int bwslots = (bandwidth/4) * fft.n;
if ( ! bwslots ) return;
// Measure carrier+noise in center band
float c2plusn2 = avgslots(icf-bwslots, icf+bwslots);
// Measure noise left and right of roll-off zones
float n2 = ( avgslots(icf-bwslots*4, icf-bwslots*3) +
avgslots(icf+bwslots*3, icf+bwslots*4) ) / 2;
float c2 = c2plusn2 - n2;
float cnr = (c2>0 && n2>0) ? 10 * logf(c2/n2)/logf(10) : -50;
out.write(cnr);
}
float avgslots(int i0, int i1) { // i0 <= i1
T s = 0;
for ( int i=i0; i<=i1; ++i ) s += avgpower[i&(fft.n-1)];
return s / (i1-i0+1);
}
pipereader< complex<T> > in;
pipewriter< float > out;
cfft_engine<T> fft;
T *avgpower;
int phase;
}; // cnr_fft
template<typename T>
struct spectrum : runnable {
static const int nfft = 1024;
spectrum(scheduler *sch, pipebuf< complex<T> > &_in,
pipebuf<float[nfft]> &_out)
: runnable(sch, "spectrum"),
decimation(1048576), kavg(0.1),
in(_in), out(_out),
fft(nfft), avgpower(NULL), phase(0) {
}
int decimation;
float kavg;
void run() {
while ( in.readable()>=fft.n && out.writable()>=1 ) {
phase += fft.n;
if ( phase >= decimation ) {
phase -= decimation;
do_spectrum();
}
in.read(fft.n);
}
}
private:
void do_spectrum() {
complex<T> data[fft.n];
memcpy(data, in.rd(), fft.n*sizeof(data[0]));
fft.inplace(data, true);
float power[nfft];
for ( int i=0; i<fft.n; ++i )
power[i] = (float)data[i].re*data[i].re + (float)data[i].im*data[i].im;
if ( ! avgpower ) {
// Initialize with first spectrum
avgpower = new float[fft.n];
memcpy(avgpower, power, fft.n*sizeof(avgpower[0]));
}
// Accumulate and low-pass filter
for ( int i=0; i<fft.n; ++i )
avgpower[i] = avgpower[i]*(1-kavg) + power[i]*kavg;
// Reuse power[]
for ( int i=0; i<fft.n/2; ++i ) {
power[i] = 10 * log10f(avgpower[nfft/2+i]);
power[nfft/2+i] = 10 * log10f(avgpower[i]);
}
memcpy(out.wr(), power, sizeof(power[0])*nfft);
out.written(1);
}
pipereader< complex<T> > in;
pipewriter< float[nfft] > out;
cfft_engine<T> fft;
T *avgpower;
int phase;
}; // spectrum
} // namespace
#endif // LEANSDR_SDR_H