diff --git a/QAM/DDPLL/debug.py b/QAM/DDPLL/debug.py new file mode 100644 index 0000000..ed8966b --- /dev/null +++ b/QAM/DDPLL/debug.py @@ -0,0 +1,104 @@ +#!/usr/bin/env python3 +import pyqtgraph as pg +from pyqtgraph.Qt import QtWidgets, QtCore +import numpy as np +import sys, os + +# -------------------- Fichiers de données -------------------- +REF_FILE = "constellation_ref.dat" +RX_FILE = "constellation.dat" +ERROR_FILE = "pll_error.dat" + +# -------------------- Fonctions de chargement -------------------- +def load_points(filename): + if os.path.exists(filename): + return np.loadtxt(filename) + else: + return np.zeros((0,2)) + +def load_error(filename): + if os.path.exists(filename): + return np.loadtxt(filename) + else: + return np.zeros((0,2)) + +# -------------------- Application -------------------- +app = QtWidgets.QApplication(sys.argv) +win = pg.GraphicsLayoutWidget(show=True, title="Constellation et PLL Error") +win.resize(900, 900) +win.setBackground('#0a0a0a') # fond noir profond + +plot = win.addPlot() +plot.setAspectLocked(True) # axes égaux + +# -------------------- Axes stylés -------------------- +plot.getAxis('left').setPen(pg.mkPen('#AAA', width=2)) +plot.getAxis('bottom').setPen(pg.mkPen('#AAA', width=2)) +plot.getAxis('left').setTextPen(pg.mkPen('#EEE')) +plot.getAxis('bottom').setTextPen(pg.mkPen('#EEE')) +plot.setLabel('left', 'Quadrature (Q)', color='#EEE', size='12pt') +plot.setLabel('bottom', 'In-phase (I)', color='#EEE', size='12pt') + +# -------------------- Grille subtile -------------------- +grid = pg.GridItem() +grid.setPen(pg.mkPen('#444', width=1, style=QtCore.Qt.DotLine)) +plot.addItem(grid) + +# -------------------- Chargement initial -------------------- +ref_data = load_points(REF_FILE) +rx_data = load_points(RX_FILE) +error_data = load_error(ERROR_FILE) + +# Points référence +ref_plot = plot.plot(ref_data[:,0], ref_data[:,1], + pen=None, + symbol='o', + symbolSize=10, + symbolBrush=pg.mkBrush('#1E90FF'), # bleu vif + symbolPen=None, + name='Référence') + +# Points reçus +rx_plot = plot.plot(rx_data[:,0], rx_data[:,1], + pen=None, + symbol='x', + symbolSize=6, + symbolBrush=pg.mkBrush('#FF4500'), # orange vif + symbolPen=None, + name='Reçu') + +# PLL error en vert +error_plot = plot.plot(error_data[:,0], error_data[:,1], + pen=pg.mkPen('#00FF00', width=2), + symbol=None, + name='PLL error') + +# -------------------- Légende stylée -------------------- +legend = plot.addLegend() +for item in legend.items: + item[1].setPen(pg.mkPen('#FFF', width=2)) + +# -------------------- Timer pour mise à jour dynamique -------------------- +def update(): + ref_data = load_points(REF_FILE) + rx_data = load_points(RX_FILE) + error_data = load_error(ERROR_FILE) + + if ref_data.size > 0: + ref_plot.setData(ref_data[:,0], ref_data[:,1]) + if rx_data.size > 0: + rx_plot.setData(rx_data[:,0], rx_data[:,1]) + if error_data.size > 0: + error_plot.setData(error_data[:,0], error_data[:,1]) + +timer = QtCore.QTimer() +timer.timeout.connect(update) +timer.start(500) # ms + +# -------------------- Anti-aliasing -------------------- +pg.setConfigOptions(antialias=True) + +# -------------------- Exécution -------------------- +if __name__ == '__main__': + sys.exit(app.exec_()) + diff --git a/QAM/DDPLL/qam.c b/QAM/DDPLL/qam.c new file mode 100644 index 0000000..02b1ff5 --- /dev/null +++ b/QAM/DDPLL/qam.c @@ -0,0 +1,346 @@ +#include +#include +#include +#include +#include +#include + +#define A 10 + +struct qam_system_s { + int M; // Nombre de symboles M-QAM + int k; // Nombre de bits/symboles + double Fs; // Fréquence d'échantillionage + double Ts; // Temps d'échantillionage + int N; // Nombre d'échantillions + double Fc; // Fréquence de la porteuse + double complex** constellation; // Tableau de symboles I + j Q +}; +typedef struct qam_system_s qam_system; + +// Initialisation de la constellation (double tableau de taille sqrt(M)), +// ToDo : changer à un tableau à 1 dimension pour éviter de calculer sqrt(M) +void init_constellation (qam_system* qam) { + int sm = (int)sqrt(qam->M); + qam->constellation = (double complex**)malloc(sizeof(double complex*) * sm); + + for (int i = 0; i < sm; i++) { + qam->constellation[i] = (double complex*)malloc(sizeof(double complex) * sm); + } + + double norm_factor = sqrt((double)(qam->M - 1) / 3.0); // Pour puissance unitaire + + for (int i = 0; i < sm; i++) { + double complex ip = -(sm - 1) + 2 * i; + for (int j = 0; j < sm; j++) { + double complex qp = -(sm - 1) + 2 * j; + qam->constellation[i][j] = (ip + I * qp) / norm_factor; + } + } +} + +// Calcul du bruit gaussien pour un sigma donné +// Formule de Box-Muller +double gaussian_noise (double sigma) { + double u1 = (rand() + 1) / ((double)RAND_MAX + 2); + double u2 = (rand() + 1) / ((double)RAND_MAX + 2); + return sigma * sqrt(-2 * log(u1)) * cos(2 * M_PI * u2); +} + +// Ajout du bruit +void add_noise (double complex* s, int len, double sigma) { + for (int i = 0; i < len; i++) { + double nr = gaussian_noise(sigma); + double ni = gaussian_noise(sigma); + s[i] += nr + I * ni; + } +} + +// Changer le tableau de bits en boolen ou alors la represenation binaire et shifter pour extraire les bits (pas bien si M plus grand) +void bits_to_symbols (qam_system* qam, uint8_t* bits, int nb_bits, double complex* symbols) { + int nb_symbols = nb_bits / qam->k; + int sm = sqrt(qam->M); + for (int k = 0; k < nb_symbols; k++) { + int id = 0; + for (int b = 0 ; b < qam->k; b++) { + id = id * 2 + bits[k * qam->k + b]; + } + int i = id / sm; + int j = id % sm; + symbols[k] = qam->constellation[i][j]; + } +} + +// Modulation QAM +void modulate (qam_system* qam, double complex* symbols, int nb_symbols, double complex* s) { + for (int k = 0; k < nb_symbols; k++) { + double complex iq = symbols[k]; + for (int n = 0; n < qam->N; n++) { + int idx = k * qam->N + n; + s[idx] = A * iq * cexp(2 * I * M_PI * qam->Fc * ((double)idx / qam->Fs)); + } + } +} + +// Demodulation QAM +void demodulate(qam_system* qam, double complex* s, int nb_symbols, uint8_t* bits_hat, FILE *fp_constel) { + for (int k = 0; k < nb_symbols; k++) { + double complex r = 0; + for (int n = 0; n < qam->N; n++) { + r += s[k * qam->N + n] * cexp(-2 * I * M_PI * qam->Fc * ((double)(k * qam->N + n) / qam->Fs)) / A; + } + r /= qam->N; + + if (fp_constel) { + fprintf(fp_constel, "% .8f % .8f\n", creal(r), cimag(r)); + fflush(fp_constel); + } + + // Distance euclidien de Ir et Qr pour avoir le point le plus proche de la constellation (lent) + int sm = (int)sqrt(qam->M); + double min_d = INFINITY; + int i_cl = 0; + int j_cl = 0; + for (int i = 0; i < sm; i++) { + for (int j = 0; j < sm; j++) { + double d = cabs(r - qam->constellation[i][j]); + if (d < min_d) { + min_d = d; + i_cl = i; + j_cl = j; + } + } + } + + // index du symbole (id) : même mappage que dans bits_to_symbols() + int id = i_cl * sm + j_cl; + + for (int b = 0; b < qam->k; b++) { + bits_hat[k * qam->k + b] = (id >> (qam->k - 1 - b)) & 1; + } + } +} + +// PLL pour corriger le déphasage +void pll_qam_symbol(qam_system* qam, double complex* symbols_rx, double complex* r_corr, int nb_symbols, double Kp, double Ki, double alpha, FILE* fp_error) { + double phase_est = 0.0; + double integrator = 0.0; + double filtered_error = 0.0; + + int sm = (int)sqrt(qam->M); + int N = qam->N; + + for (int k = 0; k < nb_symbols; k++) { + double complex r_symbol = 0; + for (int n = 0; n < N; n++) { + int idx = k * N + n; + r_symbol += symbols_rx[idx] * cexp(-2.0 * I * M_PI * qam->Fc * ((double)idx / qam->Fs)); + } + r_symbol /= N; + + r_symbol *= cexp(-I * phase_est); + + double min_d = INFINITY; + double complex closest = 0; + for (int i = 0; i < sm; i++) { + for (int j = 0; j < sm; j++) { + double d = cabs(r_symbol - qam->constellation[i][j]); + if (d < min_d) { + min_d = d; + closest = qam->constellation[i][j]; + } + } + } + + double error = carg(r_symbol * conj(closest)); + + filtered_error = (1.0 - alpha) * filtered_error + alpha * error; + integrator += Ki * filtered_error; + phase_est += Kp * filtered_error + integrator; + + // Écriture de l'erreur PLL dans le fichier + if (fp_error) { + fprintf(fp_error, "%d % .8f\n", k, 100 * filtered_error); + fflush(fp_error); + } + + for (int n = 0; n < N; n++) { + int idx = k * N + n; + r_corr[idx] = symbols_rx[idx] * cexp(-I * phase_est); + } + } +} + + +// Libération de la mémoire +void free_constellation(qam_system* qam) { + int sm = (int)sqrt(qam->M); + for (int i = 0; i < sm; i++) + free(qam->constellation[i]); + free(qam->constellation); +} + +double compare_bits(uint8_t* bits1, uint8_t* bits2, int nb_bits) { + int errors = 0; + for (int i = 0; i < nb_bits; i++) { + if (bits1[i] != bits2[i]) errors++; + } + return (double)errors / nb_bits; +} + +// Minimise le BER (si la pll s'est lockée de maniere déphasée de k*pi/2) +void demodulate2(qam_system* qam, double complex* r_corr, int nb_symbols, uint8_t* input_bits, uint8_t* output_bits, FILE* fp_constel) { + + int nb_bits = nb_symbols * qam->k; + double best_ber = INFINITY; + double best_angle = 0.0; + uint8_t* temp_bits = (uint8_t*)malloc(nb_bits * sizeof(uint8_t)); + + for (int r = 0; r < 4; r++) { + double angle = r * M_PI/2; + + double complex* rotated = (double complex*)malloc(sizeof(double complex) * nb_symbols * qam->N); + for (int i = 0; i < nb_symbols * qam->N; i++) { + rotated[i] = r_corr[i] * cexp(I * angle); + } + + demodulate(qam, rotated, nb_symbols, temp_bits, fp_constel); + + double ber = compare_bits(input_bits, temp_bits, nb_bits); + + if (ber < best_ber) { + best_ber = ber; + best_angle = angle; + } + + free(rotated); + } + + for (int i = 0; i < nb_symbols * qam->N; i++) { + r_corr[i] *= cexp(I * best_angle); + } + + demodulate(qam, r_corr, nb_symbols, output_bits, fp_constel); + + free(temp_bits); +} + + +int main () { + qam_system qam; + qam.M = 16; + qam.k = (int)log2((double)(qam.M)); + qam.Fs = 44100; + //qam.Ts = 0.0003; + //qam.N = (int)qam.Fs * qam.Ts; + qam.Ts = 0.01; + qam.N = (int)(qam.Fs * qam.Ts); + qam.Fc = 2000; + init_constellation(&qam); + + //int nb_bits = 1000; + //int nb_symbols = nb_bits / qam.k; + + //uint8_t* input_bits = malloc(nb_bits * sizeof(uint8_t)); + //for (int i = 0; i < nb_bits; i++) { + // input_bits[i] = rand() % 2; + //} + char* texte = "Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux"; + int nb_chars = strlen(texte); + int nb_bits = nb_chars * 8; + int nb_symbols = (nb_bits + qam.k - 1) / qam.k; + + // Conversion du texte en bits + uint8_t* input_bits = malloc(nb_bits * sizeof(uint8_t)); + for(int i = 0; i < nb_chars; i++){ + for(int b = 0; b < 8; b++){ + input_bits[i*8 + b] = (texte[i] >> (7-b)) & 1; + } + } + + // Conversion en symboles + double complex* symbols = malloc(sizeof(double complex) * nb_symbols); + bits_to_symbols(&qam, input_bits, nb_bits, symbols); + + // Modulation + int total_samples = qam.N * nb_symbols; + double complex* s = malloc(sizeof(double complex) * total_samples); + modulate(&qam, symbols, nb_symbols, s); + + // Ajout du bruit + double signal_power = (2.0/3.0)*(qam.M-1); // puissance moyenne + double snr_dB = 5; // SNR en dB + double snr_lin = pow(10.0, snr_dB / 10.0); + double sigma = sqrt(signal_power / snr_lin); + add_noise(s, total_samples, 10); + + + FILE *fp_ref = fopen("constellation_ref.dat", "w"); + int sm = (int)sqrt(qam.M); + for (int i = 0; i < sm; i++) { + for (int j = 0; j < sm; j++) { + fprintf(fp_ref, "% .8f % .8f\n", creal(qam.constellation[i][j]), cimag(qam.constellation[i][j])); + } + } + fclose(fp_ref); + FILE *fp_constel = fopen("constellation.dat", "w"); + + // Ajout de dephasage + //double phase_offset = M_PI / 6.0; // 30 degrés + //for (int i = 0; i < total_samples; i++) { + // s[i] *= cexp(I * phase_offset); + //} + + // AJout de decalage de fréquence + double freq_offset = 1; // Hz de décalage + for (int i = 0; i < total_samples; i++) { + double t = (double)i / qam.Fs; + s[i] *= cexp(I * 2 * M_PI * freq_offset * t); + } + + // Ajout de decalage entre les symbole + //int offset_samples = (int)(0.3 * qam.N); // décalage de 30% d’un symbole + //memmove(s + offset_samples, s, (total_samples - offset_samples) * sizeof(double complex)); + + double complex* r_corr = malloc(sizeof(double complex) * total_samples); + double Kp = 0.2; + double Ki = 0.02; + double alpha = 0.1; + FILE* fp_error = fopen("pll_error.dat", "w"); + pll_qam_symbol(&qam, s, r_corr, nb_symbols, Kp, Ki, alpha, fp_error); + fclose(fp_error); + + // Démodulation + uint8_t* output_bits = (uint8_t*)malloc(nb_bits * sizeof(uint8_t)); + demodulate2(&qam, r_corr, nb_symbols, input_bits, output_bits, fp_constel); + //demodulate(&qam, r_corr, nb_symbols, output_bits, fp_constel); + + fclose(fp_constel); + + // Reconstruction du texte + char* texte_recup = malloc(nb_chars + 1); + for(int i = 0; i < nb_chars; i++){ + char c = 0; + for(int b = 0; b < 8; b++){ + c |= output_bits[i*8 + b] << (7-b); + } + texte_recup[i] = c; + } + texte_recup[nb_chars] = '\0'; + printf("Texte original : %s\n\n", texte); + printf("Texte demodulé : %s\n", texte_recup); + + // Calcul du BER + double ber = compare_bits(input_bits, output_bits, nb_bits); + printf("Taux d'erreur blind QAM: %.4f\n", ber * 100); + + // Libération mémoire + free(input_bits); + free(output_bits); + free(symbols); + free(r_corr); + free(s); + free_constellation(&qam); + + return 0; +} diff --git a/QAM/constellation.dat b/QAM/constellation.dat index ade747e..46fab40 100644 --- a/QAM/constellation.dat +++ b/QAM/constellation.dat @@ -1,6700 +1,416 @@ --0.49312910 -0.43836022 --0.46588749 0.39218954 --0.54054931 0.36661926 - 0.49251926 -0.29072943 --0.46357049 0.33980815 --0.58373317 0.36767790 --1.44388089 -0.06380276 --0.73692665 -1.74804322 --0.64054454 0.32704734 - 0.23045707 0.61199202 --1.01461140 1.01555332 --0.25199109 -0.62158549 --0.61151519 0.10415416 --1.00377468 0.91781365 --0.57083884 0.17706984 --0.23469503 -0.63933647 --1.40693781 -0.23838148 - 1.69679711 -0.62415213 --1.34966183 -0.13132460 --0.62347344 -1.80626345 --0.99382469 1.00563841 - 0.15617397 -1.38943160 --0.96754389 0.95058542 --1.44745384 -0.17788847 --0.54896632 0.14961739 --0.20751188 -0.53841599 --0.61548350 0.21108328 - 1.31787249 0.18518488 --0.92506406 1.10504461 --0.76755469 -1.81041044 --0.49823804 0.26832755 --0.25770395 -0.49299514 --0.80445826 1.15286667 - 0.25429921 0.47631850 --1.36361634 0.08864417 --1.13169601 -1.56188177 --0.48863441 0.30753590 --1.56651383 1.23989916 --0.53404640 0.46323824 --0.51068929 -0.52484888 --1.31639274 0.55584022 --1.55198903 -1.09768324 --0.35645088 0.53035848 --1.13605652 0.80017714 --0.32095586 0.57020052 - 0.60664780 -1.74307660 --0.08229309 0.55129744 - 1.84768208 0.35366147 --0.20720600 0.71162256 - 1.32707993 -0.46106109 - 0.00205230 0.68233187 --1.13645290 -0.74341034 --0.63594833 1.18032030 --1.89566259 0.00082941 - 0.66522464 1.31357397 - 0.67314106 1.29543817 --0.06409784 0.61229394 --0.72675427 -1.20130470 - 0.11080414 0.63307648 --0.16193528 -0.58229106 - 0.95926667 1.09881626 - 0.55357411 1.77388248 - 0.24621068 0.56860069 - 1.39950568 0.00136639 - 1.13551078 0.80726331 --0.37028544 -0.56050837 - 0.31471134 1.41951078 --1.33809552 1.15285160 - 0.55573080 0.47825230 --0.26161881 1.34971530 - 1.38381582 0.16275289 --0.17843410 1.43090007 - 1.43530734 0.09250852 --0.29960529 0.59434582 - 0.60633575 0.30444950 --0.25976681 0.59483534 - 1.39538346 -0.22134708 --0.25539021 0.60132879 - 1.41253391 -0.30449914 --1.42129404 0.27711195 - 1.23848465 0.79476872 --1.91540913 -0.31368939 - 1.18055929 0.75350168 --0.12232210 1.85073865 --0.05287970 0.66530083 - 0.61288862 0.00615398 - 0.56928379 -0.04855936 --0.57558297 -0.05732512 - 0.66081938 -0.00795061 - 0.62126371 0.12897831 - 1.24925570 0.71181147 --0.20799570 1.84330795 - 0.72027981 0.10957817 - 0.16162840 -0.60519388 - 1.36679405 -0.26603369 --0.25640998 0.58738141 - 0.63198651 0.19584187 - 1.42489176 -0.02934271 - 0.58234375 0.34959800 --0.34808581 0.49612453 - 0.76807411 1.19414788 --1.53934982 -1.15845606 - 0.54289278 1.37629748 --1.26048024 1.40973535 - 1.29254849 0.50841745 --1.37152984 0.37579637 - 1.30819966 0.53772395 - 0.25218489 1.32543570 - 0.36282215 0.60338822 --0.58331444 0.48030079 - 0.33574811 0.57130455 --0.01925867 -1.43172352 - 1.07561036 0.76379105 --1.70647743 0.79830011 - 0.29875002 0.55118096 --0.49413435 0.18927067 - 1.10329414 0.87471257 - 0.60511432 -0.24524899 --0.08227558 1.43338144 --1.73656435 0.70443321 - 0.27127763 0.65230833 - 0.71706303 1.73447690 - 0.19963272 0.60831121 --0.50673964 0.26300651 - 0.08618131 1.43196022 --1.64515176 0.90938706 - 0.33243522 0.47037115 - 0.20812472 1.42643788 - 0.28417675 0.56644362 --1.17395874 -1.41840755 - 0.39303175 0.54716286 - 1.29426449 -1.45739001 - 0.51897348 0.31312114 - 0.20189850 -1.30857079 - 0.48431471 0.33962940 --1.14314631 0.87741275 - 0.84439422 1.03130488 --0.78287930 1.82577454 - 1.33453418 -0.22244968 - 1.46517928 -0.38156387 - 0.67006015 0.12601020 --1.34681612 0.51544415 - 0.65882092 0.04122959 --0.64058672 0.10169315 - 1.23053026 -0.84184729 - 1.90182045 -0.35918631 - 0.57293423 -0.07264081 - 0.24762844 -1.36158380 - 0.82677473 -1.08058127 --0.60184765 0.26890616 - 1.43540903 -0.06398030 - 1.11500108 1.50312830 - 0.55632645 -0.34293621 - 1.38777360 0.48583482 - 0.34856842 -1.26416597 - 1.43983345 0.23086610 - 0.32652443 -1.36984448 - 0.58583590 0.36647527 - 0.31439111 -0.57177300 - 0.55122599 0.36177636 - 0.15392454 -1.46154843 - 0.55530408 0.31070330 - 0.18194848 -1.40641639 --0.19109120 1.39575725 - 1.23059095 -0.73800760 --1.05838782 1.63603020 - 1.29932701 -0.75204553 - 1.64290513 1.02750345 - 0.48854915 0.42829527 - 0.32135969 -0.51966887 - 0.31402473 -0.54713351 --0.40821929 0.48305853 - 0.34959235 -0.46314513 - 0.36275278 -0.46300114 - 1.27265068 -0.65178247 - 1.43221182 1.24041232 - 0.43307405 -0.42737772 --0.51647542 -0.42610062 - 0.39870932 -1.38446921 - 0.46348282 0.45619670 - 0.39049649 -0.45167761 - 0.46141459 -1.35699195 - 0.47860006 -0.43875667 - 0.37227951 0.42777809 - 1.33181354 -0.42001186 --1.46942642 1.33552465 - 1.35467355 -0.24054131 - 1.25495986 1.40830883 - 0.40667724 -1.21227952 - 0.34336836 1.29746660 - 0.51122531 -1.29662851 - 1.26829014 -0.48620704 - 0.47542851 -0.45858113 - 0.46322098 0.40826543 - 0.37860877 -0.36153684 --1.28463111 0.55213279 - 0.38193641 -1.41189988 - 1.46789574 1.19297464 - 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0.01415632 --0.00438784 0.62505166 - 0.21759909 1.83861653 - 0.06310354 0.66927442 --0.62907286 0.14112148 --0.27207808 1.34830037 --1.85314288 0.55917188 - 0.20677978 0.62080544 --0.08875349 1.37182654 - 0.31698872 0.57498189 --1.04486129 -1.60256127 - 0.45369023 0.56583143 - 1.37682141 -1.34133959 - 0.43164412 0.32718458 - 0.30518170 -1.38708046 - 0.46063041 0.33389376 --1.08206465 0.75671010 - 1.02107167 1.04382374 --0.58306095 1.87170959 - 1.32379828 -0.28364977 - 1.30263163 -0.50178778 - 0.50887517 0.02506996 --1.27551565 0.72096462 - 0.68623132 -0.02356005 --0.62210421 0.18500796 - 0.99397265 -0.97871532 - 1.71419842 -0.78987403 - 0.50675404 -0.31692900 --0.37255714 -1.40402404 - 0.40218548 -1.30343312 --0.42825988 0.50743761 - 1.17330113 -0.81689998 - 1.83370134 0.63374944 - 0.19572608 -0.60314465 - 1.33774175 -0.41010182 --0.73693618 -1.22997409 - 1.09127692 -0.86433550 --1.02260010 -1.00321802 - 0.59916890 -0.34629988 --0.34768323 -0.44697922 - 0.36812941 -0.46966552 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0.22134708 - 0.25539021 -0.60132879 --1.41253391 0.30449914 - 1.42129404 -0.27711195 --1.23848465 -0.79476872 - 1.91540913 0.31368939 --1.18055929 -0.75350168 - 0.12232210 -1.85073865 - 0.05287970 -0.66530083 --0.61288862 -0.00615398 --0.56928379 0.04855936 - 0.57558297 0.05732512 --0.66081938 0.00795061 --0.62126371 -0.12897831 --1.24925570 -0.71181147 - 0.20799570 -1.84330795 --0.72027981 -0.10957817 --0.16162840 0.60519388 --1.36679405 0.26603369 - 0.25640998 -0.58738141 --0.63198651 -0.19584187 --1.42489176 0.02934271 --0.58234375 -0.34959800 - 0.34808581 -0.49612453 --0.76807411 -1.19414788 - 1.53934982 1.15845606 --0.54289278 -1.37629748 - 1.26048024 -1.40973535 --1.29254849 -0.50841745 - 1.37152984 -0.37579637 --1.30819966 -0.53772395 --0.25218489 -1.32543570 --0.36282215 -0.60338822 - 0.58331444 -0.48030079 --0.33574811 -0.57130455 - 0.01925867 1.43172352 --1.07561036 -0.76379105 - 1.70647743 -0.79830011 --0.29875002 -0.55118096 - 0.49413435 -0.18927067 --1.10329414 -0.87471257 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-0.36647527 --0.31439111 0.57177300 --0.55122599 -0.36177636 --0.15392454 1.46154843 --0.55530408 -0.31070330 --0.18194848 1.40641639 - 0.19109120 -1.39575725 --1.23059095 0.73800760 - 1.05838782 -1.63603020 --1.29932701 0.75204553 --1.64290513 -1.02750345 --0.48854915 -0.42829527 --0.32135969 0.51966887 --0.31402473 0.54713351 - 0.40821929 -0.48305853 --0.34959235 0.46314513 --0.36275278 0.46300114 --1.27265068 0.65178247 --1.43221182 -1.24041232 --0.43307405 0.42737772 - 0.51647542 0.42610062 --0.39870932 1.38446921 --0.46348282 -0.45619670 --0.39049649 0.45167761 --0.46141459 1.35699195 --0.47860006 0.43875667 --0.37227951 -0.42777809 --1.33181354 0.42001186 - 1.46942642 -1.33552465 --1.35467355 0.24054131 --1.25495986 -1.40830883 --0.40667724 1.21227952 --0.34336836 -1.29746660 --0.51122531 1.29662851 --1.26829014 0.48620704 --0.47542851 0.45858113 --0.46322098 -0.40826543 --0.37860877 0.36153684 - 1.28463111 -0.55213279 --0.38193641 1.41189988 --1.46789574 -1.19297464 --0.41533317 0.39431372 --0.58157336 -0.35232190 --0.22123598 1.34072012 - 0.52197053 0.31018662 --1.16401188 0.71090656 --1.57755998 -1.06721260 --0.29059809 0.46060836 --1.01455997 1.58800060 --0.34614656 0.58037936 --0.49166316 -0.39786727 --1.23801280 0.61431747 --1.50205886 -1.05015128 --0.34256781 0.55460231 --1.26020365 0.61918419 --0.29486748 0.43112466 - 1.11145208 -1.57675241 --0.39345128 0.55900156 - 1.66262477 1.04097517 --0.28399732 0.62354478 - 1.40720403 0.23881131 --0.36412334 0.49133367 --0.61663726 -1.24283050 --1.23406872 0.57458389 --1.56705738 -1.16699039 --0.33106028 1.46067509 --0.39749714 1.33635830 --0.41639985 0.43909702 - 0.40637188 -1.31018215 --0.46398736 0.48240907 - 0.43407995 -0.43177368 --0.63567534 1.29649210 --1.50738711 1.04098967 --0.57352193 0.36558677 - 0.17938385 1.33818738 --0.80318810 1.20955656 - 0.58319142 -0.40253586 --1.35385005 0.01844988 --0.90000245 -1.63825300 --0.56925117 0.31452996 --1.03179985 -0.92240232 --0.84645521 1.17916827 --1.04811890 -0.92435302 --0.97823409 1.10396536 --0.28686913 -0.54484057 --0.66543957 0.25649646 --0.20815634 -0.57946473 --1.00386265 1.10458956 --0.31162012 -0.63333601 --0.87031330 1.16721290 - 0.82554779 -1.11000322 --1.40321663 -0.03243840 - 1.66880695 -0.99837091 --1.36583651 -0.00946331 --0.92304963 -1.72160326 --0.30077011 -0.55989123 --0.53568303 0.26604740 --0.47734084 0.35443458 - 0.52283669 -0.38317180 --0.53381267 0.28580178 --0.43180889 0.35195401 --1.35832899 0.35228012 --1.33461878 -1.35674023 --0.37790382 0.43426117 - 0.57868811 0.27220163 --0.25960080 1.40409334 --0.50760478 -0.34757223 --0.32241509 0.57723957 --0.02213625 1.39037117 --0.28990554 0.46044805 --0.59280594 -0.26580855 --1.12859636 0.78891389 - 0.76334421 -1.61595902 --1.12183813 0.82854358 --1.71698327 -0.68060853 - 0.01559377 1.45532091 --0.93226504 -1.05622686 - 0.12391905 1.41377026 --0.99544230 0.96662576 --0.18062687 0.61816139 --0.56120432 -0.26683333 --0.25491154 0.58349713 - 1.00658394 -0.98681896 - 0.11218367 1.43628780 --1.75673354 -0.65698745 --0.17356967 0.60007338 --0.59160307 -0.25850668 - 0.18051505 1.39109302 - 0.64730100 0.26144884 --1.02563893 0.97666680 --1.84105981 -0.69278901 --0.24344342 0.67356771 --0.70614968 1.76473214 --0.31808779 0.41543225 --0.57902613 -0.30216571 --1.11720342 0.78187017 --1.56789252 -1.07502526 --0.32973406 0.48966243 --1.31246417 0.58282531 --0.35513562 0.43926624 - 1.25932928 -1.39630660 --0.35508332 0.50250547 - 1.36299893 1.31541374 --0.48366227 0.40930939 - 1.18629494 0.57839401 --0.48408390 0.38074880 --0.23106436 -1.33513378 --1.47872146 0.24187192 --1.04057385 -1.60587810 --0.70613753 1.20883328 --0.77418647 1.27360828 --0.54932334 0.27507944 - 0.75099366 -1.20144390 --0.54311799 0.31730556 - 0.43689619 -0.36100699 --0.68057011 1.14638248 --1.49065463 0.96585266 --0.57939024 0.37563974 - 0.15172203 1.38478413 --0.60843063 1.30743466 - 0.51697330 -0.37145858 --1.42032171 0.28334504 --1.09121350 -1.42570909 --0.53795204 0.45352421 --1.29468740 -0.50906913 --0.49829285 1.42065717 --1.30416969 -0.40187845 --0.44706352 1.35811508 --0.47198783 -0.46273384 --0.38365221 0.55999642 --0.44034582 -0.48425347 --0.45039272 1.27963457 --0.40610996 -0.44210415 --0.47542117 1.33636491 - 0.56487046 -1.37009319 --1.37891167 0.50933896 - 1.37717880 -1.30438253 --1.37120370 0.43820721 --1.37123838 -1.40597727 --0.41928379 -0.45289077 --0.46147079 0.40652335 --0.41905463 0.45603164 - 0.38210245 -0.56235700 --0.41392200 0.45267870 --0.41869112 0.47570792 --1.32292082 0.56264367 --1.58135279 -1.14991627 --0.40229873 0.44463505 - 0.52697004 0.35559198 --0.31836502 1.33462657 --0.44740613 -0.33158422 --0.38355188 0.54504640 --0.21912007 1.37681586 --0.36250703 0.55418831 --0.55239939 -0.36689436 --1.24059986 0.59231345 - 1.14029910 -1.47571996 --1.33982493 0.65110998 --1.43849554 -1.15412735 --0.23998001 1.34025718 --0.55774286 -1.28792666 --0.29619776 1.36386461 --1.40707642 0.61490174 --0.37383552 0.46057389 --0.53272901 -0.38923871 --0.37192573 0.43956967 - 1.29403150 -0.52040379 --0.28172924 1.32348368 --1.41920314 -1.20364515 --0.44041550 0.47944654 --0.49239887 -0.30683208 --0.34339420 1.37628726 - 0.39968255 0.40898115 --1.37726077 0.55772612 --1.32953344 -1.28599650 --0.50032959 0.43473914 --1.38641056 1.33400519 --0.49096498 0.40491811 --0.43444759 -0.50159857 --1.35071691 0.46306005 --1.37656796 -1.24900712 --0.42328074 0.43644420 --1.29178551 0.51162408 --0.48076468 0.47907603 - 1.14681829 -1.49878874 --0.25548246 0.52388396 - 1.53566425 1.11482464 --0.37859303 0.52048191 - 1.42179721 0.19593383 --0.36016071 0.52453826 --0.73795012 -1.19572250 --1.20904102 0.72367479 --1.58337945 -0.96972019 --0.10293273 1.44919554 --0.12775262 1.38652855 --0.31290352 0.59430648 - 0.22432905 -1.42816491 --0.39342956 0.48366920 - 0.41946261 -0.47904495 --0.43167421 1.38224568 --1.40982569 1.32200542 --0.57793339 0.38422869 - 0.35495691 1.39222087 --0.55294204 1.25761533 - 0.46822918 -0.35486629 --1.42929218 0.24374197 --1.05840084 -1.50421351 --0.51957210 0.43074910 --1.31788966 -0.59291920 --0.82769229 1.28630376 --1.23169809 -0.73702214 --0.74736373 1.20137992 --0.37504969 -0.53324518 --0.58647842 0.34051409 --0.30722641 -0.59861330 --0.79700743 1.19642934 --0.35132856 -0.60865858 --0.82942716 1.15126985 - 0.88240038 -1.12874689 --1.37581364 0.12009707 - 1.69187181 -0.88213673 --1.54824354 0.04272465 --0.87603033 -1.70039344 --0.25119759 -0.57979061 --0.56972045 0.31166815 --0.53467929 0.31887437 - 0.52827891 -0.34698805 --0.52123516 0.32135571 --0.48104433 0.37297174 --1.31300047 0.47205215 --1.48546164 -1.27115150 --0.34736674 0.42335238 - 0.58941434 0.30449596 --0.21608733 1.48889260 --0.46737398 -0.20971766 --0.30513371 0.50127821 - 0.09546868 1.43205451 --0.27029627 0.53774486 --0.57488676 -0.22141196 --1.00087688 0.92942860 - 0.64650912 -1.84485659 --0.96214819 1.06685276 --1.90452572 -0.62995878 - 0.29337887 1.36817279 --1.14352557 -0.93406215 - 0.33023519 1.38618978 --0.79812669 1.16051160 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a/QAM/qam.c b/QAM/qam.c index 02b1ff5..29095a6 100644 --- a/QAM/qam.c +++ b/QAM/qam.c @@ -39,38 +39,6 @@ void init_constellation (qam_system* qam) { } } -// Calcul du bruit gaussien pour un sigma donné -// Formule de Box-Muller -double gaussian_noise (double sigma) { - double u1 = (rand() + 1) / ((double)RAND_MAX + 2); - double u2 = (rand() + 1) / ((double)RAND_MAX + 2); - return sigma * sqrt(-2 * log(u1)) * cos(2 * M_PI * u2); -} - -// Ajout du bruit -void add_noise (double complex* s, int len, double sigma) { - for (int i = 0; i < len; i++) { - double nr = gaussian_noise(sigma); - double ni = gaussian_noise(sigma); - s[i] += nr + I * ni; - } -} - -// Changer le tableau de bits en boolen ou alors la represenation binaire et shifter pour extraire les bits (pas bien si M plus grand) -void bits_to_symbols (qam_system* qam, uint8_t* bits, int nb_bits, double complex* symbols) { - int nb_symbols = nb_bits / qam->k; - int sm = sqrt(qam->M); - for (int k = 0; k < nb_symbols; k++) { - int id = 0; - for (int b = 0 ; b < qam->k; b++) { - id = id * 2 + bits[k * qam->k + b]; - } - int i = id / sm; - int j = id % sm; - symbols[k] = qam->constellation[i][j]; - } -} - // Modulation QAM void modulate (qam_system* qam, double complex* symbols, int nb_symbols, double complex* s) { for (int k = 0; k < nb_symbols; k++) { @@ -121,63 +89,40 @@ void demodulate(qam_system* qam, double complex* s, int nb_symbols, uint8_t* bit } } -// PLL pour corriger le déphasage -void pll_qam_symbol(qam_system* qam, double complex* symbols_rx, double complex* r_corr, int nb_symbols, double Kp, double Ki, double alpha, FILE* fp_error) { - double phase_est = 0.0; - double integrator = 0.0; - double filtered_error = 0.0; +// Calcul du bruit gaussien pour un sigma donné +// Formule de Box-Muller +double gaussian_noise (double sigma) { + double u1 = (rand() + 1) / ((double)RAND_MAX + 2); + double u2 = (rand() + 1) / ((double)RAND_MAX + 2); + return sigma * sqrt(-2 * log(u1)) * cos(2 * M_PI * u2); +} - int sm = (int)sqrt(qam->M); - int N = qam->N; - - for (int k = 0; k < nb_symbols; k++) { - double complex r_symbol = 0; - for (int n = 0; n < N; n++) { - int idx = k * N + n; - r_symbol += symbols_rx[idx] * cexp(-2.0 * I * M_PI * qam->Fc * ((double)idx / qam->Fs)); - } - r_symbol /= N; - - r_symbol *= cexp(-I * phase_est); - - double min_d = INFINITY; - double complex closest = 0; - for (int i = 0; i < sm; i++) { - for (int j = 0; j < sm; j++) { - double d = cabs(r_symbol - qam->constellation[i][j]); - if (d < min_d) { - min_d = d; - closest = qam->constellation[i][j]; - } - } - } - - double error = carg(r_symbol * conj(closest)); - - filtered_error = (1.0 - alpha) * filtered_error + alpha * error; - integrator += Ki * filtered_error; - phase_est += Kp * filtered_error + integrator; - - // Écriture de l'erreur PLL dans le fichier - if (fp_error) { - fprintf(fp_error, "%d % .8f\n", k, 100 * filtered_error); - fflush(fp_error); - } - - for (int n = 0; n < N; n++) { - int idx = k * N + n; - r_corr[idx] = symbols_rx[idx] * cexp(-I * phase_est); - } +// Ajout du bruit +void add_noise (double complex* s, int len, double sigma) { + //double signal_power = (2.0/3.0)*(qam.M-1); + //double snr_dB = 5; // SNR en dB + //double snr_lin = pow(10.0, snr_dB / 10.0); + //double sigma = sqrt(signal_power / snr_lin); + for (int i = 0; i < len; i++) { + double nr = gaussian_noise(sigma); + double ni = gaussian_noise(sigma); + s[i] += nr + I * ni; } } - -// Libération de la mémoire -void free_constellation(qam_system* qam) { - int sm = (int)sqrt(qam->M); - for (int i = 0; i < sm; i++) - free(qam->constellation[i]); - free(qam->constellation); +// Changer le tableau de bits en boolen ou alors la represenation binaire et shifter pour extraire les bits (pas bien si M plus grand) +void bits_to_symbols (qam_system* qam, uint8_t* bits, int nb_bits, double complex* symbols) { + int nb_symbols = nb_bits / qam->k; + int sm = sqrt(qam->M); + for (int k = 0; k < nb_symbols; k++) { + int id = 0; + for (int b = 0 ; b < qam->k; b++) { + id = id * 2 + bits[k * qam->k + b]; + } + int i = id / sm; + int j = id % sm; + symbols[k] = qam->constellation[i][j]; + } } double compare_bits(uint8_t* bits1, uint8_t* bits2, int nb_bits) { @@ -188,75 +133,72 @@ double compare_bits(uint8_t* bits1, uint8_t* bits2, int nb_bits) { return (double)errors / nb_bits; } -// Minimise le BER (si la pll s'est lockée de maniere déphasée de k*pi/2) -void demodulate2(qam_system* qam, double complex* r_corr, int nb_symbols, uint8_t* input_bits, uint8_t* output_bits, FILE* fp_constel) { - - int nb_bits = nb_symbols * qam->k; - double best_ber = INFINITY; - double best_angle = 0.0; - uint8_t* temp_bits = (uint8_t*)malloc(nb_bits * sizeof(uint8_t)); - - for (int r = 0; r < 4; r++) { - double angle = r * M_PI/2; - - double complex* rotated = (double complex*)malloc(sizeof(double complex) * nb_symbols * qam->N); - for (int i = 0; i < nb_symbols * qam->N; i++) { - rotated[i] = r_corr[i] * cexp(I * angle); - } - - demodulate(qam, rotated, nb_symbols, temp_bits, fp_constel); - - double ber = compare_bits(input_bits, temp_bits, nb_bits); - - if (ber < best_ber) { - best_ber = ber; - best_angle = angle; - } - - free(rotated); +void add_dephasage(double complex* s, double phi_offset, int total_samples) { + for (int i = 0; i < total_samples; i++) { + s[i] *= cexp(I * phi_offset); } - - for (int i = 0; i < nb_symbols * qam->N; i++) { - r_corr[i] *= cexp(I * best_angle); - } - - demodulate(qam, r_corr, nb_symbols, output_bits, fp_constel); - - free(temp_bits); } +void add_freq(qam_system* qam, double complex* s, double freq_offset, int total_samples) { + for (int i = 0; i < total_samples; i++) { + double t = (double)i / qam->Fs; + s[i] *= cexp(I * 2 * M_PI * freq_offset * t); + } +} + +void fill_constellation_data(qam_system* qam, FILE *fp_ref) { + int sm = (int)sqrt(qam->M); + for (int i = 0; i < sm; i++) { + for (int j = 0; j < sm; j++) { + fprintf(fp_ref, "% .8f % .8f\n", creal(qam->constellation[i][j]), cimag(qam->constellation[i][j])); + } + } +} + +void reconstruction_text(int nb_chars, uint8_t* output_bits, char* texte_recup) { + for(int i = 0; i < nb_chars; i++){ + char c = 0; + for(int b = 0; b < 8; b++){ + c |= output_bits[i*8 + b] << (7-b); + } + texte_recup[i] = c; + } + texte_recup[nb_chars] = '\0'; +} + +void conversion_text_to_bits(int nb_chars, int nb_bits, char* texte, uint8_t* input_bits) { + for(int i = 0; i < nb_chars; i++){ + for(int b = 0; b < 8; b++){ + input_bits[i*8 + b] = (texte[i] >> (7-b)) & 1; + } + } +} + +// Libération de la mémoire +void free_constellation(qam_system* qam) { + int sm = (int)sqrt(qam->M); + for (int i = 0; i < sm; i++) + free(qam->constellation[i]); + free(qam->constellation); +} int main () { qam_system qam; qam.M = 16; qam.k = (int)log2((double)(qam.M)); qam.Fs = 44100; - //qam.Ts = 0.0003; - //qam.N = (int)qam.Fs * qam.Ts; qam.Ts = 0.01; qam.N = (int)(qam.Fs * qam.Ts); qam.Fc = 2000; init_constellation(&qam); - //int nb_bits = 1000; - //int nb_symbols = nb_bits / qam.k; - - //uint8_t* input_bits = malloc(nb_bits * sizeof(uint8_t)); - //for (int i = 0; i < nb_bits; i++) { - // input_bits[i] = rand() % 2; - //} - char* texte = "Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux"; + // Conversion du texte en bits + char* texte = "Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux"; int nb_chars = strlen(texte); int nb_bits = nb_chars * 8; int nb_symbols = (nb_bits + qam.k - 1) / qam.k; - - // Conversion du texte en bits uint8_t* input_bits = malloc(nb_bits * sizeof(uint8_t)); - for(int i = 0; i < nb_chars; i++){ - for(int b = 0; b < 8; b++){ - input_bits[i*8 + b] = (texte[i] >> (7-b)) & 1; - } - } + conversion_text_to_bits(nb_chars, nb_bits, texte, input_bits); // Conversion en symboles double complex* symbols = malloc(sizeof(double complex) * nb_symbols); @@ -268,65 +210,28 @@ int main () { modulate(&qam, symbols, nb_symbols, s); // Ajout du bruit - double signal_power = (2.0/3.0)*(qam.M-1); // puissance moyenne - double snr_dB = 5; // SNR en dB - double snr_lin = pow(10.0, snr_dB / 10.0); - double sigma = sqrt(signal_power / snr_lin); - add_noise(s, total_samples, 10); - + add_noise(s, total_samples, 0); FILE *fp_ref = fopen("constellation_ref.dat", "w"); - int sm = (int)sqrt(qam.M); - for (int i = 0; i < sm; i++) { - for (int j = 0; j < sm; j++) { - fprintf(fp_ref, "% .8f % .8f\n", creal(qam.constellation[i][j]), cimag(qam.constellation[i][j])); - } - } + fill_constellation_data(&qam, fp_ref); fclose(fp_ref); - FILE *fp_constel = fopen("constellation.dat", "w"); // Ajout de dephasage - //double phase_offset = M_PI / 6.0; // 30 degrés - //for (int i = 0; i < total_samples; i++) { - // s[i] *= cexp(I * phase_offset); - //} + //add_dephasage(s, M_PI / 6.0, total_samples); // AJout de decalage de fréquence - double freq_offset = 1; // Hz de décalage - for (int i = 0; i < total_samples; i++) { - double t = (double)i / qam.Fs; - s[i] *= cexp(I * 2 * M_PI * freq_offset * t); - } - - // Ajout de decalage entre les symbole - //int offset_samples = (int)(0.3 * qam.N); // décalage de 30% d’un symbole - //memmove(s + offset_samples, s, (total_samples - offset_samples) * sizeof(double complex)); - - double complex* r_corr = malloc(sizeof(double complex) * total_samples); - double Kp = 0.2; - double Ki = 0.02; - double alpha = 0.1; - FILE* fp_error = fopen("pll_error.dat", "w"); - pll_qam_symbol(&qam, s, r_corr, nb_symbols, Kp, Ki, alpha, fp_error); - fclose(fp_error); + //add_freq(&qam, s, 1, total_samples); // Démodulation + FILE *fp_constel = fopen("constellation.dat", "w"); uint8_t* output_bits = (uint8_t*)malloc(nb_bits * sizeof(uint8_t)); - demodulate2(&qam, r_corr, nb_symbols, input_bits, output_bits, fp_constel); - //demodulate(&qam, r_corr, nb_symbols, output_bits, fp_constel); - + demodulate(&qam, s, nb_symbols, output_bits, fp_constel); fclose(fp_constel); // Reconstruction du texte char* texte_recup = malloc(nb_chars + 1); - for(int i = 0; i < nb_chars; i++){ - char c = 0; - for(int b = 0; b < 8; b++){ - c |= output_bits[i*8 + b] << (7-b); - } - texte_recup[i] = c; - } - texte_recup[nb_chars] = '\0'; + reconstruction_text(nb_chars, output_bits, texte_recup); + printf("Texte original : %s\n\n", texte); printf("Texte demodulé : %s\n", texte_recup); @@ -338,7 +243,6 @@ int main () { free(input_bits); free(output_bits); free(symbols); - free(r_corr); free(s); free_constellation(&qam); diff --git a/QAM/< b/QAM/qamold.c similarity index 79% rename from QAM/< rename to QAM/qamold.c index b02e218..27ce8c9 100644 --- a/QAM/< +++ b/QAM/qamold.c @@ -121,44 +121,6 @@ void demodulate(qam_system* qam, double complex* s, int nb_symbols, uint8_t* bit } } -// PLL pour corriger le déphasage -// Entrées : signal reçu s, nombre total d'échantillons, gain proportionnel Kp, gain intégral Ki -// Sortie : signal corrigé r_corr -void fpll_mqam(qam_system* qam, double complex* s, double complex* r_corr, int total_samples, double Kp, double Ki) { - double phase_est = 0.0; - double freq_correction = 0.0; - int sm = (int)sqrt(qam->M); - - for (int n = 0; n < total_samples; n++) { - // Corrige le signal avec l'estimation de phase courante - r_corr[n] = s[n] * cexp(-I * phase_est); - - // Extraire le symbole correspondant au "échantillon central" du symbole - if (n % qam->N == qam->N/2) { - // Trouver le symbole quantifié le plus proche - double complex r = r_corr[n]; - double min_d = INFINITY; - double complex closest = 0; - for (int i = 0; i < sm; i++) { - for (int j = 0; j < sm; j++) { - double d = cabs(r - qam->constellation[i][j]); - if (d < min_d) { - min_d = d; - closest = qam->constellation[i][j]; - } - } - } - // Calculer l'erreur de phase - double error = carg(r * conj(closest)); - - // Mettre à jour la PLL - freq_correction += Ki * error; - phase_est += Kp * error + freq_correction; - } - } -} - - // Libération de la mémoire void free_constellation(qam_system* qam) { int sm = (int)sqrt(qam->M); @@ -177,7 +139,7 @@ double compare_bits(uint8_t* bits1, uint8_t* bits2, int nb_bits) { int main () { qam_system qam; - qam.M = 4; + qam.M = 16; qam.k = (int)log2((double)(qam.M)); qam.Fs = 44100; //qam.Ts = 0.0003; @@ -194,7 +156,7 @@ int main () { //for (int i = 0; i < nb_bits; i++) { // input_bits[i] = rand() % 2; //} - char* texte = "Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, "; + char* texte = "Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux, Vif juge, trempez ce blond whisky aqueux"; int nb_chars = strlen(texte); int nb_bits = nb_chars * 8; int nb_symbols = (nb_bits + qam.k - 1) / qam.k; @@ -232,6 +194,7 @@ int main () { } } fclose(fp_ref); + FILE *fp_constel = fopen("constellation.dat", "w"); // Ajout de dephasage @@ -241,24 +204,27 @@ int main () { //} // AJout de decalage de fréquence - double freq_offset = 0; // Hz de décalage - for (int i = 0; i < total_samples; i++) { - double t = (double)i / qam.Fs; - s[i] *= cexp(I * 2 * M_PI * freq_offset * t); - } + //double freq_offset = 1; // Hz de décalage + //for (int i = 0; i < total_samples; i++) { + // double t = (double)i / qam.Fs; + // s[i] *= cexp(I * 2 * M_PI * freq_offset * t); + //} // Ajout de decalage entre les symbole //int offset_samples = (int)(0.3 * qam.N); // décalage de 30% d’un symbole //memmove(s + offset_samples, s, (total_samples - offset_samples) * sizeof(double complex)); - double complex* r_corr = malloc(sizeof(double complex) * total_samples); - double Kp = 0.001; - double Ki = 0.0001; - fpll_mqam(&qam, s, r_corr, total_samples, Kp, Ki); + //double complex* r_corr = malloc(sizeof(double complex) * total_samples); + //double Kp = 0.2; + //double Ki = 0.02; + //double alpha = 0.1; + //FILE* fp_error = fopen("pll_error.dat", "w"); + //pll_qam_symbol(&qam, s, r_corr, nb_symbols, Kp, Ki, alpha, fp_error); + //fclose(fp_error); // Démodulation uint8_t* output_bits = (uint8_t*)malloc(nb_bits * sizeof(uint8_t)); - demodulate(&qam, r_corr, nb_symbols, output_bits, fp_constel); + demodulate(&qam, s, nb_symbols, output_bits, fp_constel); fclose(fp_constel); @@ -283,7 +249,6 @@ int main () { free(input_bits); free(output_bits); free(symbols); - free(r_corr); free(s); free_constellation(&qam);