Пример #1
0
// Helper function to keep code base small
void symsync_crcf_bench(struct rusage *     _start,
                        struct rusage *     _finish,
                        unsigned long int * _num_iterations,
                        unsigned int        _k,
                        unsigned int        _m)
{
    unsigned long int i;
    unsigned int npfb = 16;     // number of filters in bank
    unsigned int k    = _k;     // samples/symbol
    unsigned int m    = _m;     // filter delay [symbols]
    float beta        = 0.3f;   // filter excess bandwidth factor

    // create symbol synchronizer
    symsync_crcf q = symsync_crcf_create_rnyquist(LIQUID_RNYQUIST_RRC,
                                                  k, m, beta, npfb);

    //
    unsigned int num_samples = 64;
    *_num_iterations /= num_samples;

    unsigned int num_written;
    float complex x[num_samples];
    float complex y[num_samples];

    // generate pseudo-random data
    msequence ms = msequence_create_default(6);
    for (i=0; i<num_samples; i++)
        x[i] = ((float)msequence_generate_symbol(ms, 6) - 31.5) / 24.0f;
    msequence_destroy(ms);

    // start trials
    getrusage(RUSAGE_SELF, _start);
    for (i=0; i<(*_num_iterations); i++) {
        symsync_crcf_execute(q, x, num_samples, y, &num_written);
        symsync_crcf_execute(q, x, num_samples, y, &num_written);
        symsync_crcf_execute(q, x, num_samples, y, &num_written);
        symsync_crcf_execute(q, x, num_samples, y, &num_written);
    }
    getrusage(RUSAGE_SELF, _finish);
    *_num_iterations *= 4 * num_samples;

    symsync_crcf_destroy(q);
}
int main(int argc, char*argv[]) {
    srand(time(NULL));

    // options
    unsigned int k           =   2;     // samples/symbol (input)
    unsigned int k_out       =   2;     // samples/symbol (output)
    unsigned int m           =   5;     // filter delay (symbols)
    float        beta        =   0.5f;  // filter excess bandwidth factor
    unsigned int num_filters =  32;     // number of filters in the bank
    unsigned int num_symbols = 400;     // number of data symbols
    float        SNRdB       =  30.0f;  // signal-to-noise ratio

    // transmit/receive filter types
    liquid_firfilt_type ftype_tx = LIQUID_FIRFILT_RRC;
    liquid_firfilt_type ftype_rx = LIQUID_FIRFILT_RRC;

    float bt    =  0.02f;       // loop filter bandwidth
    float tau   = -0.2f;        // fractional symbol offset
    float r     =    1.00f;     // resampled rate
    
    // use random data or 101010 phasing pattern
    int random_data=1;

    int dopt;
    while ((dopt = getopt(argc,argv,"hT:k:K:m:b:B:s:w:n:t:r:")) != EOF) {
        switch (dopt) {
        case 'h':   usage();                        return 0;
        case 'T':
            if (strcmp(optarg,"gmsk")==0) {
                ftype_tx = LIQUID_FIRFILT_GMSKTX;
                ftype_rx = LIQUID_FIRFILT_GMSKRX;
            } else {
                ftype_tx = liquid_getopt_str2firfilt(optarg);
                ftype_rx = liquid_getopt_str2firfilt(optarg);
            }
            if (ftype_tx == LIQUID_FIRFILT_UNKNOWN) {
                fprintf(stderr,"error: %s, unknown filter type '%s'\n", argv[0], optarg);
                exit(1);
            }
            break;
        case 'k':   k           = atoi(optarg);     break;
        case 'K':   k_out       = atoi(optarg);     break;
        case 'm':   m           = atoi(optarg);     break;
        case 'b':   beta        = atof(optarg);     break;
        case 'B':   num_filters = atoi(optarg);     break;
        case 's':   SNRdB       = atof(optarg);     break;
        case 'w':   bt          = atof(optarg);     break;
        case 'n':   num_symbols = atoi(optarg);     break;
        case 't':   tau         = atof(optarg);     break;
        case 'r':   r           = atof(optarg);     break;
        default:
            exit(1);
        }
    }

    // validate input
    if (k < 2) {
        fprintf(stderr,"error: k (samples/symbol) must be at least 2\n");
        exit(1);
    } else if (m < 1) {
        fprintf(stderr,"error: m (filter delay) must be greater than 0\n");
        exit(1);
    } else if (beta <= 0.0f || beta > 1.0f) {
        fprintf(stderr,"error: beta (excess bandwidth factor) must be in (0,1]\n");
        exit(1);
    } else if (num_filters == 0) {
        fprintf(stderr,"error: number of polyphase filters must be greater than 0\n");
        exit(1);
    } else if (bt <= 0.0f) {
        fprintf(stderr,"error: timing PLL bandwidth must be greater than 0\n");
        exit(1);
    } else if (num_symbols == 0) {
        fprintf(stderr,"error: number of symbols must be greater than 0\n");
        exit(1);
    } else if (tau < -1.0f || tau > 1.0f) {
        fprintf(stderr,"error: timing phase offset must be in [-1,1]\n");
        exit(1);
    } else if (r < 0.5f || r > 2.0f) {
        fprintf(stderr,"error: timing frequency offset must be in [0.5,2]\n");
        exit(1);
    }

    // compute delay
    while (tau < 0) tau += 1.0f;    // ensure positive tau
    float g = k*tau;                // number of samples offset
    int ds=floorf(g);               // additional symbol delay
    float dt = (g - (float)ds);     // fractional sample offset
    if (dt > 0.5f) {                // force dt to be in [0.5,0.5]
        dt -= 1.0f;
        ds++;
    }

    unsigned int i, n=0;

    unsigned int num_samples = k*num_symbols;
    unsigned int num_samples_resamp = (unsigned int) ceilf(num_samples*r*1.1f) + 4;
    float complex s[num_symbols];           // data symbols
    float complex x[num_samples];           // interpolated samples
    float complex y[num_samples_resamp];    // resampled data (resamp_crcf)
    float complex z[k_out*num_symbols + 64];// synchronized samples
    float complex sym_out[num_symbols + 64];// synchronized symbols

    for (i=0; i<num_symbols; i++) {
        if (random_data) {
            // random signal (QPSK)
            s[i]  = cexpf(_Complex_I*0.5f*M_PI*((rand() % 4) + 0.5f));
        } else {
            s[i] = (i%2) ? 1.0f : -1.0f;  // 101010 phasing pattern
        }
    }

    // 
    // create and run interpolator
    //

    // design interpolating filter
    unsigned int h_len = 2*k*m+1;
    float h[h_len];
    liquid_firdes_rnyquist(ftype_tx,k,m,beta,dt,h);
    firinterp_crcf q = firinterp_crcf_create(k,h,h_len);
    for (i=0; i<num_symbols; i++) {
        firinterp_crcf_execute(q, s[i], &x[n]);
        n+=k;
    }
    assert(n == num_samples);
    firinterp_crcf_destroy(q);

    // 
    // run resampler
    //
    unsigned int resamp_len = 10*k; // resampling filter semi-length (filter delay)
    float resamp_bw = 0.45f;        // resampling filter bandwidth
    float resamp_As = 60.0f;        // resampling filter stop-band attenuation
    unsigned int resamp_npfb = 64;  // number of filters in bank
    resamp_crcf f = resamp_crcf_create(r, resamp_len, resamp_bw, resamp_As, resamp_npfb);
    unsigned int num_samples_resampled = 0;
    unsigned int num_written;
    for (i=0; i<num_samples; i++) {
#if 0
        // bypass arbitrary resampler
        y[i] = x[i];
        num_samples_resampled = num_samples;
#else
        // TODO : compensate for resampler filter delay
        resamp_crcf_execute(f, x[i], &y[num_samples_resampled], &num_written);
        num_samples_resampled += num_written;
#endif
    }
    resamp_crcf_destroy(f);

    // 
    // add noise
    //
    float nstd = powf(10.0f, -SNRdB/20.0f);
    for (i=0; i<num_samples_resampled; i++)
        y[i] += nstd*(randnf() + _Complex_I*randnf());


    // 
    // create and run symbol synchronizer
    //

    symsync_crcf d = symsync_crcf_create_rnyquist(ftype_rx, k, m, beta, num_filters);
    symsync_crcf_set_lf_bw(d,bt);
    symsync_crcf_set_output_rate(d,k_out);

    unsigned int num_samples_sync=0;
    unsigned int nn;
    unsigned int num_symbols_sync = 0;
    float tau_hat[num_samples];
    for (i=ds; i<num_samples_resampled; i++) {
        tau_hat[num_samples_sync] = symsync_crcf_get_tau(d);
        symsync_crcf_execute(d, &y[i], 1, &z[num_samples_sync], &nn);

        // decimate
        unsigned int j;
        for (j=0; j<nn; j++) {
            if ( (num_samples_sync%k_out)==0 )
                sym_out[num_symbols_sync++] = z[num_samples_sync];
            num_samples_sync++;
        }
    }
    symsync_crcf_destroy(d);

    // print last several symbols to screen
    printf("output symbols:\n");
    printf("  ...\n");
    for (i=num_symbols_sync-10; i<num_symbols_sync; i++)
        printf("  sym_out(%2u) = %8.4f + j*%8.4f;\n", i+1, crealf(sym_out[i]), cimagf(sym_out[i]));

    //
    // export output file
    //

    FILE* fid = fopen(OUTPUT_FILENAME,"w");
    fprintf(fid,"%% %s, auto-generated file\n\n", OUTPUT_FILENAME);
    fprintf(fid,"close all;\nclear all;\n\n");

    fprintf(fid,"k=%u;\n",k);
    fprintf(fid,"m=%u;\n",m);
    fprintf(fid,"beta=%12.8f;\n",beta);
    fprintf(fid,"k_out=%u;\n",k_out);
    fprintf(fid,"num_filters=%u;\n",num_filters);
    fprintf(fid,"num_symbols=%u;\n",num_symbols);

    for (i=0; i<h_len; i++)
        fprintf(fid,"h(%3u) = %12.5f;\n", i+1, h[i]);

    for (i=0; i<num_symbols; i++)
        fprintf(fid,"s(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(s[i]), cimagf(s[i]));

    for (i=0; i<num_samples; i++)
        fprintf(fid,"x(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(x[i]), cimagf(x[i]));
        
    for (i=0; i<num_samples_resampled; i++)
        fprintf(fid,"y(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(y[i]), cimagf(y[i]));
        
    for (i=0; i<num_samples_sync; i++)
        fprintf(fid,"z(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(z[i]), cimagf(z[i]));
        
    for (i=0; i<num_symbols_sync; i++)
        fprintf(fid,"sym_out(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(sym_out[i]), cimagf(sym_out[i]));
        
    for (i=0; i<num_samples_sync; i++)
        fprintf(fid,"tau_hat(%3u) = %12.8f;\n", i+1, tau_hat[i]);


    fprintf(fid,"\n\n");
    fprintf(fid,"%% scale QPSK in-phase by sqrt(2)\n");
    fprintf(fid,"z = z*sqrt(2);\n");
    fprintf(fid,"\n\n");
    fprintf(fid,"tz = [0:length(z)-1]/k_out;\n");
    fprintf(fid,"iz = 1:k_out:length(z);\n");
    fprintf(fid,"figure;\n");
    fprintf(fid,"plot(tz,     real(z),    '-',...\n");
    fprintf(fid,"     tz(iz), real(z(iz)),'or');\n");
    fprintf(fid,"xlabel('Time');\n");
    fprintf(fid,"ylabel('Output Signal (real)');\n");
    fprintf(fid,"grid on;\n");
    fprintf(fid,"legend('output time series','optimum timing','location','northeast');\n");

    fprintf(fid,"iz0 = iz( 1:round(length(iz)*0.5) );\n");
    fprintf(fid,"iz1 = iz( round(length(iz)*0.5):length(iz) );\n");
    fprintf(fid,"figure;\n");
    fprintf(fid,"hold on;\n");
    fprintf(fid,"plot(real(z(iz0)),imag(z(iz0)),'x','MarkerSize',4,'Color',[0.6 0.6 0.6]);\n");
    fprintf(fid,"plot(real(z(iz1)),imag(z(iz1)),'o','MarkerSize',4,'Color',[0 0.25 0.5]);\n");
    fprintf(fid,"hold off;\n");
    fprintf(fid,"axis square;\n");
    fprintf(fid,"grid on;\n");
    fprintf(fid,"axis([-1 1 -1 1]*2.0);\n");
    fprintf(fid,"xlabel('In-phase');\n");
    fprintf(fid,"ylabel('Quadrature');\n");
    fprintf(fid,"legend(['first 50%%'],['last 50%%'],'location','northeast');\n");

    fprintf(fid,"figure;\n");
    fprintf(fid,"tt = 0:(length(tau_hat)-1);\n");
    fprintf(fid,"b = floor(num_filters*tau_hat + 0.5);\n");
    fprintf(fid,"stairs(tt,tau_hat*num_filters);\n");
    fprintf(fid,"hold on;\n");
    fprintf(fid,"plot(tt,b,'-k','Color',[0 0 0]);\n");
    fprintf(fid,"hold off;\n");
    fprintf(fid,"xlabel('time');\n");
    fprintf(fid,"ylabel('filterbank index');\n");
    fprintf(fid,"grid on;\n");
    fprintf(fid,"axis([0 length(tau_hat) -1 num_filters]);\n");

    fclose(fid);
    printf("results written to %s.\n", OUTPUT_FILENAME);

    // clean it up
    printf("done.\n");
    return 0;
}
Пример #3
0
int main(int argc, char*argv[]) {
    srand(time(NULL));

    // options
    unsigned int k=2;               // samples/symbol (input)
    unsigned int m=3;               // filter delay (symbols)
    float beta=0.5f;                // filter excess bandwidth factor
    unsigned int npfb=32;    // number of filters in the bank
    unsigned int p=3;               // equalizer length (symbols, hp_len = 2*k*p+1)
    float mu = 0.05f;               // equalizer learning rate
    unsigned int num_symbols=500;   // number of data symbols
    unsigned int hc_len=5;          // channel filter length
    float SNRdB = 30.0f;            // signal-to-noise ratio
    liquid_firfilt_type ftype = LIQUID_FIRFILT_ARKAISER;

    float bt=0.05f;                 // symbol synchronizer loop filter bandwidth
    float tau=-0.1f;                // fractional symbol offset
    
    int dopt;
    while ((dopt = getopt(argc,argv,"uhk:m:b:n:B:w:p:W:s:c:t:")) != EOF) {
        switch (dopt) {
        case 'u':
        case 'h':   usage();                        return 0;
        // transmit filter properties
        case 'k':   k           = atoi(optarg);     break;
        case 'm':   m           = atoi(optarg);     break;
        case 'b':   beta        = atof(optarg);     break;
        case 'n':   num_symbols = atoi(optarg);     break;
        // symsync properties
        case 'B':   npfb        = atoi(optarg);     break;
        case 'w':   bt          = atof(optarg);     break;
        // equalizer properties
        case 'p':   p           = atoi(optarg);     break;
        case 'W':   mu          = atof(optarg);     break;
        // equalizer properties
        case 's':   SNRdB       = atof(optarg);     break;
        case 'c':   hc_len      = atoi(optarg);     break;
        case 't':   tau         = atof(optarg);     break;
        default:
            exit(1);
        }
    }

    // validate input
    if (k < 2) {
        fprintf(stderr,"error: %s,k (samples/symbol) must be at least 2\n", argv[0]);
        exit(1);
    } else if (m < 1) {
        fprintf(stderr,"error: %s,m (filter delay) must be greater than 0\n", argv[0]);
        exit(1);
    } else if (beta <= 0.0f || beta > 1.0f) {
        fprintf(stderr,"error: %s,beta (excess bandwidth factor) must be in (0,1]\n", argv[0]);
        exit(1);
    } else if (num_symbols == 0) {
        fprintf(stderr,"error: %s,number of symbols must be greater than 0\n", argv[0]);
        exit(1);
    } else if (npfb == 0) {
        fprintf(stderr,"error: %s,number of polyphase filters must be greater than 0\n", argv[0]);
        exit(1);
    } else if (bt < 0.0f) {
        fprintf(stderr,"error: %s,timing PLL bandwidth cannot be negative\n", argv[0]);
        exit(1);
    } else if (p == 0) {
        fprintf(stderr,"error: %s, equalizer order must be at least 1\n", argv[0]);
        exit(1);
    } else if (mu < 0.0f || mu > 1.0f) {
        fprintf(stderr,"error: %s, equalizer learning rate must be in [0,1]\n", argv[0]);
        exit(1);
    } else if (hc_len < 1) {
        fprintf(stderr,"error: %s, channel response must have at least 1 tap\n", argv[0]);
        exit(1);
    } else if (tau < -1.0f || tau > 1.0f) {
        fprintf(stderr,"error: %s,timing phase offset must be in [-1,1]\n", argv[0]);
        exit(1);
    }

    // derived values
    unsigned int ht_len = 2*k*m+1;  // transmit filter order
    unsigned int hp_len = 2*k*p+1;  // equalizer order
    float nstd = powf(10.0f, -SNRdB/20.0f);

    float dt = tau;                 // fractional sample offset
    unsigned int ds = 0;            // full sample delay

    unsigned int i;

    unsigned int num_samples = k*num_symbols;
    float complex s[num_symbols];               // data symbols
    float complex x[num_samples];               // interpolated samples
    float complex y[num_samples];               // channel output
    float complex z[k*num_symbols + 64];        // synchronized samples
    float complex sym_out[num_symbols + 64];    // synchronized symbols

    for (i=0; i<num_symbols; i++) {
        s[i] = (rand() % 2 ? M_SQRT1_2 : -M_SQRT1_2) +
               (rand() % 2 ? M_SQRT1_2 : -M_SQRT1_2) * _Complex_I;
    }

    // 
    // create and run interpolator
    //

    // design interpolating filter
    float ht[ht_len];
    liquid_firdes_prototype(ftype,k,m,beta,dt,ht);
    firinterp_crcf q = firinterp_crcf_create(k, ht, ht_len);
    for (i=0; i<num_symbols; i++)
        firinterp_crcf_execute(q, s[i], &x[i*k]);
    firinterp_crcf_destroy(q);


    // 
    // channel
    //

    // generate channel impulse response, filter
    float complex hc[hc_len];
    hc[0] = 1.0f;
    for (i=1; i<hc_len; i++)
        hc[i] = 0.07f*(randnf() + randnf()*_Complex_I);
    firfilt_cccf fchannel = firfilt_cccf_create(hc, hc_len);
    // push through channel
    for (i=0; i<num_samples; i++) {
        firfilt_cccf_push(fchannel, x[i]);
        firfilt_cccf_execute(fchannel, &y[i]);

        // add noise
        y[i] += nstd*(randnf() + randnf()*_Complex_I)*M_SQRT1_2;
    }
    firfilt_cccf_destroy(fchannel);


    // 
    // symbol timing recovery
    //

    // create symbol synchronizer
    symsync_crcf d = symsync_crcf_create_rnyquist(ftype, k, m, beta, npfb);
    symsync_crcf_set_lf_bw(d,bt);
    symsync_crcf_set_output_rate(d,k);

    unsigned int num_samples_sync=0;
    unsigned int nw;
    for (i=ds; i<num_samples; i++) {
        // push through symbol synchronizer
        symsync_crcf_execute(d, &y[i], 1, &z[num_samples_sync], &nw);
        num_samples_sync += nw;
    }
    printf("num samples : %6u (%6u synchronized)\n", num_samples, num_samples_sync);
    symsync_crcf_destroy(d);


    // 
    // equalizer/decimator
    //

    // create equalizer as low-pass filter
    float complex hp[hp_len];
    eqlms_cccf eq = eqlms_cccf_create_lowpass(hp_len, 0.4f);
    eqlms_cccf_set_bw(eq, mu);

    // push through equalizer and decimate
    unsigned int num_symbols_sync = 0;
    float complex d_hat = 0.0f;
    for (i=0; i<num_samples_sync; i++) {
        // push sample into equalizer
        eqlms_cccf_push(eq, z[i]);

        // decimate by k
        if ( (i%k) != 0) continue;

        // compute output
        eqlms_cccf_execute(eq, &d_hat);
        sym_out[num_symbols_sync++] = d_hat;

        // check if buffer is full
        if ( i < hp_len ) continue;

        // estimate transmitted signal
        float complex d_prime = (crealf(d_hat) > 0.0f ? M_SQRT1_2 : -M_SQRT1_2) +
                                (cimagf(d_hat) > 0.0f ? M_SQRT1_2 : -M_SQRT1_2) * _Complex_I;

        // update equalizer
        eqlms_cccf_step(eq, d_prime, d_hat);
    }

    // get equalizer weights
    eqlms_cccf_get_weights(eq, hp);

    // destroy equalizer object
    eqlms_cccf_destroy(eq);

    // print last several symbols to screen
    printf("output symbols:\n");
    for (i=num_symbols_sync-10; i<num_symbols_sync; i++)
        printf("  sym_out(%2u) = %8.4f + j*%8.4f;\n", i+1, crealf(sym_out[i]), cimagf(sym_out[i]));

    //
    // export output file
    //

    FILE* fid = fopen(OUTPUT_FILENAME,"w");
    fprintf(fid,"%% %s, auto-generated file\n\n", OUTPUT_FILENAME);
    fprintf(fid,"close all;\nclear all;\n\n");

    fprintf(fid,"k=%u;\n",k);
    fprintf(fid,"m=%u;\n",m);
    fprintf(fid,"beta=%12.8f;\n",beta);
    fprintf(fid,"npfb=%u;\n",npfb);
    fprintf(fid,"num_symbols=%u;\n",num_symbols);

    for (i=0; i<ht_len; i++)
        fprintf(fid,"ht(%3u) = %12.5f;\n", i+1, ht[i]);

    for (i=0; i<hc_len; i++)
        fprintf(fid,"hc(%3u) = %12.5f + j*%12.8f;\n", i+1, crealf(hc[i]), cimagf(hc[i]));

    for (i=0; i<hp_len; i++)
        fprintf(fid,"hp(%3u) = %12.5f + j*%12.8f;\n", i+1, crealf(hp[i]), cimagf(hp[i]));

    for (i=0; i<num_symbols; i++)
        fprintf(fid,"s(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(s[i]), cimagf(s[i]));

    for (i=0; i<num_samples; i++)
        fprintf(fid,"x(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(x[i]), cimagf(x[i]));
        
    for (i=0; i<num_samples; i++)
        fprintf(fid,"y(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(y[i]), cimagf(y[i]));
        
    for (i=0; i<num_samples_sync; i++)
        fprintf(fid,"z(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(z[i]), cimagf(z[i]));
        
    for (i=0; i<num_symbols_sync; i++)
        fprintf(fid,"sym_out(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(sym_out[i]), cimagf(sym_out[i]));
        
#if 0
    fprintf(fid,"\n\n");
    fprintf(fid,"%% scale QPSK in-phase by sqrt(2)\n");
    fprintf(fid,"z = z*sqrt(2);\n");
    fprintf(fid,"\n\n");
    fprintf(fid,"tz = [0:length(z)-1]/k;\n");
    fprintf(fid,"iz = 1:k:length(z);\n");
    fprintf(fid,"figure;\n");
    fprintf(fid,"plot(tz,     real(z),    '-',...\n");
    fprintf(fid,"     tz(iz), real(z(iz)),'or');\n");
    fprintf(fid,"xlabel('Time');\n");
    fprintf(fid,"ylabel('Output Signal (real)');\n");
    fprintf(fid,"grid on;\n");
    fprintf(fid,"legend('output time series','optimim timing',1);\n");
#endif

    // compute composite response
    fprintf(fid,"hd = real(conv(ht/k,conv(hc,hp)));\n");

    // plot frequency response
    fprintf(fid,"nfft = 1024;\n");
    fprintf(fid,"f = [0:(nfft-1)]/nfft - 0.5;\n");
    fprintf(fid,"Ht = 20*log10(abs(fftshift(fft(ht/k,nfft))));\n");
    fprintf(fid,"Hc = 20*log10(abs(fftshift(fft(hc,  nfft))));\n");
    fprintf(fid,"Hp = 20*log10(abs(fftshift(fft(hp,  nfft))));\n");
    fprintf(fid,"Hd = 20*log10(abs(fftshift(fft(hd,  nfft))));\n");
    fprintf(fid,"figure;\n");
    fprintf(fid,"plot(f,Ht, f,Hc, f,Hp, f,Hd,'-k','LineWidth',2);\n");
    fprintf(fid,"axis([-0.5 0.5 -20 10]);\n");
    fprintf(fid,"axis([-0.5 0.5 -6  6 ]);\n");
    fprintf(fid,"grid on;\n");
    fprintf(fid,"legend('transmit','channel','equalizer','composite','location','northeast');\n");

    fprintf(fid,"i0 = [1:round(length(sym_out)/2)];\n");
    fprintf(fid,"i1 = [round(length(sym_out)/2):length(sym_out)];\n");
    fprintf(fid,"figure;\n");
    fprintf(fid,"plot(real(sym_out(i0)),imag(sym_out(i0)),'x','MarkerSize',4,'Color',[0.60 0.60 0.60],...\n");
    fprintf(fid,"     real(sym_out(i1)),imag(sym_out(i1)),'x','MarkerSize',4,'Color',[0.00 0.25 0.50]);\n");
    fprintf(fid,"axis square;\n");
    fprintf(fid,"grid on;\n");
    fprintf(fid,"axis([-1 1 -1 1]*1.2);\n");
    fprintf(fid,"xlabel('In-phase');\n");
    fprintf(fid,"ylabel('Quadrature');\n");
    fprintf(fid,"legend(['first 50%%'],['last 50%%'],'location','northeast');\n");

    fclose(fid);

    printf("results written to %s.\n", OUTPUT_FILENAME);

    // clean it up
    printf("done.\n");
    return 0;
}
int main(int argc, char*argv[])
{
    srand(time(NULL));

    // options
    unsigned int k           =   2;     // samples/symbol (input)
    unsigned int m           =   3;     // filter delay (symbols)
    float        beta        =   0.5f;  // filter excess bandwidth factor
    unsigned int num_filters =  32;     // number of filters in the bank
    float        SNRdB       =  30.0f;  // signal-to-noise ratio
    float        bt          =   0.02f; // loop filter bandwidth
    unsigned int num_symbols = 400;     // number of data symbols
    float        tau         =  -0.20f; // fractional symbol offset

    // Nyquist filter type
    liquid_firfilt_type ftype = LIQUID_FIRFILT_KAISER;
    
    int dopt;
    while ((dopt = getopt(argc,argv,"uhk:m:b:B:s:w:n:t:")) != EOF) {
        switch (dopt) {
        case 'h':   usage();                        return 0;
        case 'k':   k           = atoi(optarg);     break;
        case 'm':   m           = atoi(optarg);     break;
        case 'b':   beta        = atof(optarg);     break;
        case 'B':   num_filters = atoi(optarg);     break;
        case 's':   SNRdB       = atof(optarg);     break;
        case 'w':   bt          = atof(optarg);     break;
        case 'n':   num_symbols = atoi(optarg);     break;
        case 't':   tau         = atof(optarg);     break;
        default:
            exit(1);
        }
    }

    unsigned int i;

    // validate input
    if (k < 2) {
        fprintf(stderr,"error: k (samples/symbol) must be at least 2\n");
        exit(1);
    } else if (m < 1) {
        fprintf(stderr,"error: m (filter delay) must be greater than 0\n");
        exit(1);
    } else if (beta <= 0.0f || beta > 1.0f) {
        fprintf(stderr,"error: beta (excess bandwidth factor) must be in (0,1]\n");
        exit(1);
    } else if (num_filters == 0) {
        fprintf(stderr,"error: number of polyphase filters must be greater than 0\n");
        exit(1);
    } else if (bt <= 0.0f) {
        fprintf(stderr,"error: timing PLL bandwidth must be greater than 0\n");
        exit(1);
    } else if (num_symbols == 0) {
        fprintf(stderr,"error: number of symbols must be greater than 0\n");
        exit(1);
    } else if (tau < -1.0f || tau > 1.0f) {
        fprintf(stderr,"error: timing phase offset must be in [-1,1]\n");
        exit(1);
    }

    // derived values
    unsigned int num_samples = k*num_symbols;
    float complex x[num_samples];           // interpolated samples
    float complex y[num_samples];           // received signal (with noise)
    float         tau_hat[num_samples];     // instantaneous timing offset estimate
    float complex sym_out[num_symbols + 64];// synchronized symbols

    // create sequence of Nyquist-interpolated QPSK symbols
    firinterp_crcf interp = firinterp_crcf_create_nyquist(ftype,k,m,beta,tau);
    for (i=0; i<num_symbols; i++) {
        // generate random QPSK symbol
        float complex s = ( rand() % 2 ? M_SQRT1_2 : -M_SQRT1_2 ) +
                          ( rand() % 2 ? M_SQRT1_2 : -M_SQRT1_2 ) * _Complex_I;

        // interpolate symbol
        firinterp_crcf_execute(interp, s, &x[i*k]);
    }
    firinterp_crcf_destroy(interp);


    // add noise
    float nstd = powf(10.0f, -SNRdB/20.0f);
    for (i=0; i<num_samples; i++)
        y[i] = x[i] + nstd*(randnf() + _Complex_I*randnf());


    // create and run symbol synchronizer
    symsync_crcf decim = symsync_crcf_create_kaiser(k, m, beta, num_filters);
    symsync_crcf_set_lf_bw(decim,bt);   // set loop filter bandwidth

    // NOTE: we could just synchronize entire block (see following line);
    //       however we would like to save the instantaneous timing offset
    //       estimate for plotting purposes
    //symsync_crcf_execute(d, y, num_samples, sym_out, &num_symbols_sync);

    unsigned int num_symbols_sync = 0;
    unsigned int num_written=0;
    for (i=0; i<num_samples; i++) {
        // save instantaneous timing offset estimate
        tau_hat[i] = symsync_crcf_get_tau(decim);

        // execute one sample at a time
        symsync_crcf_execute(decim, &y[i], 1, &sym_out[num_symbols_sync], &num_written);

        // increment number of symbols synchronized
        num_symbols_sync += num_written;
    }
    symsync_crcf_destroy(decim);

    // print last several symbols to screen
    printf("output symbols:\n");
    for (i=num_symbols_sync-10; i<num_symbols_sync; i++)
        printf("  sym_out(%2u) = %8.4f + j*%8.4f;\n", i+1, crealf(sym_out[i]), cimagf(sym_out[i]));


    //
    // export output file
    //
    FILE* fid = fopen(OUTPUT_FILENAME,"w");
    fprintf(fid,"%% %s, auto-generated file\n\n", OUTPUT_FILENAME);
    fprintf(fid,"close all;\nclear all;\n\n");

    fprintf(fid,"k=%u;\n",k);
    fprintf(fid,"m=%u;\n",m);
    fprintf(fid,"beta=%12.8f;\n",beta);
    fprintf(fid,"num_filters=%u;\n",num_filters);
    fprintf(fid,"num_symbols=%u;\n",num_symbols);

    for (i=0; i<num_samples; i++)
        fprintf(fid,"x(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(x[i]), cimagf(x[i]));
        
    for (i=0; i<num_samples; i++)
        fprintf(fid,"y(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(y[i]), cimagf(y[i]));
        
    for (i=0; i<num_samples; i++)
        fprintf(fid,"tau_hat(%3u) = %12.8f;\n", i+1, tau_hat[i]);
        
    for (i=0; i<num_symbols_sync; i++)
        fprintf(fid,"sym_out(%3u) = %12.8f + j*%12.8f;\n", i+1, crealf(sym_out[i]), cimagf(sym_out[i]));
        
    fprintf(fid,"i0 = 1:round( 0.5*num_symbols );\n");
    fprintf(fid,"i1 = round( 0.5*num_symbols ):num_symbols;\n");
    fprintf(fid,"figure;\n");
    fprintf(fid,"hold on;\n");
    fprintf(fid,"plot(real(sym_out(i0)),imag(sym_out(i0)),'x','MarkerSize',4,'Color',[0.6 0.6 0.6]);\n");
    fprintf(fid,"plot(real(sym_out(i1)),imag(sym_out(i1)),'o','MarkerSize',4,'Color',[0 0.25 0.5]);\n");
    fprintf(fid,"hold off;\n");
    fprintf(fid,"axis square;\n");
    fprintf(fid,"grid on;\n");
    fprintf(fid,"axis([-1 1 -1 1]*1.6);\n");
    fprintf(fid,"xlabel('In-phase');\n");
    fprintf(fid,"ylabel('Quadrature');\n");
    fprintf(fid,"legend(['first 50%%'],['last 50%%'],1);\n");

    fprintf(fid,"figure;\n");
    fprintf(fid,"tt = 0:(length(tau_hat)-1);\n");
    fprintf(fid,"b = floor(num_filters*tau_hat + 0.5);\n");
    fprintf(fid,"stairs(tt,tau_hat*num_filters);\n");
    fprintf(fid,"hold on;\n");
    fprintf(fid,"plot(tt,b,'-k','Color',[0 0 0]);\n");
    fprintf(fid,"hold off;\n");
    fprintf(fid,"xlabel('time');\n");
    fprintf(fid,"ylabel('filterbank index');\n");
    fprintf(fid,"grid on;\n");
    fprintf(fid,"axis([0 length(tau_hat) -1 num_filters]);\n");

    fclose(fid);
    printf("results written to %s.\n", OUTPUT_FILENAME);

    // clean it up
    printf("done.\n");
    return 0;
}
Пример #5
0
int main(int argc, char*argv[]) {
    srand(time(NULL));

    // options
    unsigned int k=2;               // samples/symbol (input)
    unsigned int k_out=2;           // samples/symbol (output)
    unsigned int m=4;               // filter delay (symbols)
    float beta=0.3f;                // filter excess bandwidth factor
    unsigned int num_filters=64;    // number of filters in the bank
    unsigned int num_symbols=500;   // number of data symbols
    float SNRdB = 30.0f;            // signal-to-noise ratio
    liquid_rnyquist_type ftype_tx = LIQUID_RNYQUIST_RRC;
    liquid_rnyquist_type ftype_rx = LIQUID_RNYQUIST_RRC;

    float bt=0.01f;     // loop filter bandwidth
    float tau=-0.4f;    // fractional symbol offset
    float r = 1.00f;    // resampled rate
    
    char filename_base[256] = "figures.gen/filter_symsync_crcf";
    
    int dopt;
    while ((dopt = getopt(argc,argv,"hf:k:K:m:b:B:s:w:n:t:r:")) != EOF) {
        switch (dopt) {
        case 'h':   usage();                            return 0;
        case 'f':   strncpy(filename_base,optarg,256);  break;
        case 'k':   k           = atoi(optarg);     break;
        case 'K':   k_out       = atoi(optarg);     break;
        case 'm':   m           = atoi(optarg);     break;
        case 'b':   beta        = atof(optarg);     break;
        case 'B':   num_filters = atoi(optarg);     break;
        case 's':   SNRdB       = atof(optarg);     break;
        case 'w':   bt          = atof(optarg);     break;
        case 'n':   num_symbols = atoi(optarg);     break;
        case 't':   tau         = atof(optarg);     break;
        case 'r':   r           = atof(optarg);     break;
        default:
            exit(1);
        }
    }

    // validate input
    if (k < 2) {
        fprintf(stderr,"error: k (samples/symbol) must be at least 2\n");
        exit(1);
    } else if (m < 1) {
        fprintf(stderr,"error: m (filter delay) must be greater than 0\n");
        exit(1);
    } else if (beta <= 0.0f || beta > 1.0f) {
        fprintf(stderr,"error: beta (excess bandwidth factor) must be in (0,1]\n");
        exit(1);
    } else if (num_filters == 0) {
        fprintf(stderr,"error: number of polyphase filters must be greater than 0\n");
        exit(1);
    } else if (bt <= 0.0f) {
        fprintf(stderr,"error: timing PLL bandwidth must be greater than 0\n");
        exit(1);
    } else if (num_symbols == 0) {
        fprintf(stderr,"error: number of symbols must be greater than 0\n");
        exit(1);
    } else if (tau < -1.0f || tau > 1.0f) {
        fprintf(stderr,"error: timing phase offset must be in [-1,1]\n");
        exit(1);
    } else if (r < 0.5f || r > 2.0f) {
        fprintf(stderr,"error: timing frequency offset must be in [0.5,2]\n");
        exit(1);
    }

    // compute delay
    while (tau < 0) tau += 1.0f;    // ensure positive tau
    float g = k*tau;                // number of samples offset
    int ds=floorf(g);               // additional symbol delay
    float dt = (g - (float)ds);     // fractional sample offset
    if (dt > 0.5f) {                // force dt to be in [0.5,0.5]
        dt -= 1.0f;
        ds++;
    }

    unsigned int i, n=0;

    // derived values
    unsigned int num_samples = k*num_symbols;
    unsigned int num_samples_resamp = (unsigned int) ceilf(num_samples*r*1.1f) + 4;

    // arrays
    float complex s[num_symbols];           // data symbols
    float complex x[num_samples];           // interpolated samples
    float complex y[num_samples_resamp];    // resampled data (resamp_crcf)
    float complex z[k_out*num_symbols + 64];// synchronized samples
    float complex sym_out[num_symbols + 64];// synchronized symbols

    // random signal (QPSK)
    for (i=0; i<num_symbols; i++) {
        s[i] = ( rand() % 2 ? M_SQRT1_2 : -M_SQRT1_2 ) +
               ( rand() % 2 ? M_SQRT1_2 : -M_SQRT1_2 ) * _Complex_I;
    }

    // 
    // create and run interpolator
    //

    // design interpolating filter
    unsigned int h_len = 2*k*m+1;
    float h[h_len];
    liquid_firdes_rnyquist(ftype_tx,k,m,beta,dt,h);
    interp_crcf q = interp_crcf_create(k,h,h_len);
    for (i=0; i<num_symbols; i++) {
        interp_crcf_execute(q, s[i], &x[n]);
        n+=k;
    }
    assert(n == num_samples);
    interp_crcf_destroy(q);

    // 
    // run resampler
    //
    unsigned int resamp_len = 10*k; // resampling filter semi-length (filter delay)
    float resamp_bw = 0.45f;        // resampling filter bandwidth
    float resamp_As = 60.0f;        // resampling filter stop-band attenuation
    unsigned int resamp_npfb = 64;  // number of filters in bank
    resamp_crcf f = resamp_crcf_create(r, resamp_len, resamp_bw, resamp_As, resamp_npfb);
    unsigned int num_samples_resampled = 0;
    unsigned int num_written;
    for (i=0; i<num_samples; i++) {
#if 0
        // bypass arbitrary resampler
        y[i] = x[i];
        num_samples_resampled = num_samples;
#else
        // TODO : compensate for resampler filter delay
        resamp_crcf_execute(f, x[i], &y[num_samples_resampled], &num_written);
        num_samples_resampled += num_written;
#endif
    }
    resamp_crcf_destroy(f);

    // 
    // add noise
    //
    float nstd = powf(10.0f, -SNRdB/20.0f);
    for (i=0; i<num_samples_resampled; i++)
        y[i] += nstd*(randnf() + _Complex_I*randnf());


    // 
    // create and run symbol synchronizer
    //

    symsync_crcf d = symsync_crcf_create_rnyquist(ftype_rx, k, m, beta, num_filters);
    symsync_crcf_set_lf_bw(d,bt);
    symsync_crcf_set_output_rate(d,k_out);

    unsigned int num_samples_sync=0;
    unsigned int nn;
    unsigned int num_symbols_sync = 0;
    float tau_hat[num_samples];
    for (i=ds; i<num_samples_resampled; i++) {
        tau_hat[num_samples_sync] = symsync_crcf_get_tau(d);
        symsync_crcf_execute(d, &y[i], 1, &z[num_samples_sync], &nn);

        // decimate
        unsigned int j;
        for (j=0; j<nn; j++) {
            if ( (num_samples_sync%k_out)==0 )
                sym_out[num_symbols_sync++] = z[num_samples_sync];
            num_samples_sync++;
        }
    }
    symsync_crcf_destroy(d);

    // print last several symbols to screen
    printf("output symbols:\n");
    for (i=num_symbols_sync-10; i<num_symbols_sync; i++)
        printf("  sym_out(%2u) = %8.4f + j*%8.4f;\n", i+1, crealf(sym_out[i]), cimagf(sym_out[i]));

    // 
    // export output
    //
    FILE * fid = NULL;
    char filename[300];

    // 
    // const: constellation
    //
    strncpy(filename, filename_base, 256);
    strcat(filename, "_const.gnu");
    fid = fopen(filename,"w");
    if (!fid) {
        fprintf(stderr,"error: %s, could not open file '%s' for writing\n", argv[0], filename);
        return 1;
    }
    fprintf(fid,"# %s: auto-generated file\n\n", filename);
    fprintf(fid,"reset\n");
    fprintf(fid,"set terminal postscript eps enhanced color solid rounded\n");
    fprintf(fid,"set size ratio 1\n");
    fprintf(fid,"set xrange [-1.5:1.5];\n");
    fprintf(fid,"set yrange [-1.5:1.5];\n");
    fprintf(fid,"set xlabel 'In-phase'\n");
    fprintf(fid,"set ylabel 'Quadrature phase'\n");
    fprintf(fid,"set grid xtics ytics\n");
    fprintf(fid,"set grid linetype 1 linecolor rgb '%s' linewidth 1\n",LIQUID_DOC_COLOR_GRID);
    fprintf(fid,"plot '-' using 1:2 with points pointtype 7 pointsize 0.5 linecolor rgb '%s' title 'first %u symbols',\\\n", LIQUID_DOC_COLOR_GRAY, num_symbols/2);
    fprintf(fid,"     '-' using 1:2 with points pointtype 7 pointsize 0.7 linecolor rgb '%s' title 'last %u symbols'\n",     LIQUID_DOC_COLOR_RED,  num_symbols/2);

    // first half of symbols
    for (i=2*m; i<num_symbols_sync/2; i++)
        fprintf(fid,"  %12.4e %12.4e\n", crealf(sym_out[i]), cimagf(sym_out[i]));
    fprintf(fid,"e\n");

    // second half of symbols
    for ( ; i<num_symbols_sync; i++)
        fprintf(fid,"  %12.4e %12.4e\n", crealf(sym_out[i]), cimagf(sym_out[i]));
    fprintf(fid,"e\n");

    fclose(fid);
    printf("results written to '%s'\n", filename);


    //
    // time series
    //
    strncpy(filename, filename_base, 256);
    strcat(filename, "_time.gnu");
    fid = fopen(filename,"w");
    if (!fid) {
        fprintf(stderr,"error: %s, could not open file '%s' for writing\n", argv[0], filename);
        return 1;
    }
    fprintf(fid,"# %s: auto-generated file\n\n", filename);
    fprintf(fid,"reset\n");
    fprintf(fid,"set terminal postscript eps enhanced color solid rounded\n");
    fprintf(fid,"set xrange [0:%u];\n",num_symbols);
    fprintf(fid,"set yrange [-1.5:1.5]\n");
    fprintf(fid,"set size ratio 0.3\n");
    fprintf(fid,"set xlabel 'Symbol Index'\n");
    fprintf(fid,"set key top right nobox\n");
    //fprintf(fid,"set ytics -5,1,5\n");
    fprintf(fid,"set grid xtics ytics\n");
    fprintf(fid,"set pointsize 0.6\n");
    fprintf(fid,"set grid linetype 1 linecolor rgb '%s' lw 1\n", LIQUID_DOC_COLOR_GRID);
    fprintf(fid,"set multiplot layout 2,1 scale 1.0,1.0\n");

    // real
    fprintf(fid,"# real\n");
    fprintf(fid,"set ylabel 'Real'\n");
    fprintf(fid,"plot '-' using 1:2 with lines linetype 1 linewidth 1 linecolor rgb '#999999' notitle,\\\n");
    fprintf(fid,"     '-' using 1:2 with points pointtype 7 linecolor rgb '%s' notitle'\n", LIQUID_DOC_COLOR_BLUE);
    // 
    for (i=0; i<num_samples_sync; i++)
        fprintf(fid,"%12.8f %12.4e\n", (float)i/(float)k_out, crealf(z[i]));
    fprintf(fid,"e\n");
    // 
    for (i=0; i<num_samples_sync; i+=k)
        fprintf(fid,"%12.8f %12.4e\n", (float)i/(float)k_out, crealf(z[i]));
    fprintf(fid,"e\n");

    // imag
    fprintf(fid,"# imag\n");
    fprintf(fid,"set ylabel 'Imag'\n");
    fprintf(fid,"plot '-' using 1:2 with lines linetype 1 linewidth 1 linecolor rgb '#999999' notitle,\\\n");
    fprintf(fid,"     '-' using 1:2 with points pointtype 7 linecolor rgb '%s' notitle'\n", LIQUID_DOC_COLOR_GREEN);
    // 
    for (i=0; i<num_samples_sync; i++)
        fprintf(fid,"%12.8f %12.4e\n", (float)i/(float)k_out, cimagf(z[i]));
    fprintf(fid,"e\n");
    // 
    for (i=0; i<num_samples_sync; i+=k)
        fprintf(fid,"%12.8f %12.4e\n", (float)i/(float)k_out, cimagf(z[i]));
    fprintf(fid,"e\n");

    fprintf(fid,"unset multiplot\n");

    // close output file
    fclose(fid);
    printf("results written to '%s'\n", filename);

    // clean it up
    return 0;
}