From 967f691be654a3fdd90eb95725d05e61267b223d Mon Sep 17 00:00:00 2001 From: zeefaad Date: Tue, 7 Oct 2025 13:55:52 +0200 Subject: [PATCH] qam edits --- QAM/constellation.dat | 11730 ++++++++++++++++++++++++++++++++++++ QAM/constellation_ref.dat | 16 + QAM/plot_const.plt | 16 + QAM/qam | Bin 20480 -> 25064 bytes QAM/qam.c | 117 +- 5 files changed, 11803 insertions(+), 76 deletions(-) create mode 100644 QAM/constellation.dat create mode 100644 QAM/constellation_ref.dat create mode 100644 QAM/plot_const.plt diff --git a/QAM/constellation.dat b/QAM/constellation.dat new file mode 100644 index 0000000..70ab637 --- /dev/null +++ b/QAM/constellation.dat @@ -0,0 +1,11730 @@ +-1.01168210 -0.93165967 +-1.02328479 3.17544624 +-1.07960613 0.89251486 + 0.91281567 -2.99665853 +-1.08758383 0.87336039 +-1.07823508 -0.89205197 +-0.95383062 0.89852621 + 2.71771558 0.81086828 +-3.10329045 0.77418791 +-2.99691118 -3.01386882 +-0.88136369 1.19616430 +-1.13058816 -1.02988424 +-0.86725404 1.00249492 + 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ylabel "Q (Quadrature)" +set grid +set key off +set pointsize 1.5 +set xrange [-5:5] +set yrange [-5:5] + +while (1) { + plot \ + 'constellation_ref.dat' using 1:2 with points pt 7 ps 2.5 lc rgb "yellow", \ + 'constellation.dat' using 1:2 with points pt 7 ps 1 lc rgb "blue" + pause 0.15 +} + diff --git a/QAM/qam b/QAM/qam index 836a1e423b1ce2fbb2663c4a514c2a2d2c2f0734..784cd9af5d5f713292aa5b57eb3ec19fc5c466f0 100755 GIT binary patch literal 25064 zcmeHveV80onQu)#AOfK$3J54tVxkczO#%rfW?5#EROq-21Tuq(0zEa|)zf9VyPEFm zOvZ~kIy>1ko!lquih_%~dA#bzU3Sf7SYp)bc~9=i?q2-v zXS@0reEpN(eaD)4)5Xfq!Ef z_!HB>F9F=fukrc<0H@+lc^df7rh)I82L5N$z*Ez}e>x4k1#la`#%m)0r=tHL;FmQb zqyG76@U8f|j`n!cD|kJAG4u)@?W;3E&g*cyGoBTX_hf@yycoKLFdkQ^r$kJ6Tk}@J z?JipRpw~(SMXPv6A+$0<&y~Dcd9P3i3K$PVB{s(s>CN$!>u0P~!Si@?lU6E~DHYRJ zD#&{|s~8qCC<<;aX=U9^CP<(!tT3Tz$+~{dO63cFE=-{%vDJ;I{G6NdKZ4;xFN2X2 znV^VDZ@~{y6g_XVg#og(+N=4LP*2xgzi!p)_?6Ksqsy$?^NQNz(%REiOTobz@DsCO z>$Bx)2JUCb6YKCSa_5t&tCHei+lwga@93{e7yEEY@LDin!peX7nKS5x&Ox156P{l| 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zQ57<$0XITcTJMO+hnoI%c)r2br+HhT;rh2YdI&*&NyDEoQ+0+OD;RzUIQXCVyO3Yk z49xKEhmD>Vpto?jDLj-aZuQPYjRu?siOnNtOU;G_z>mS8v37E`%*;NBXmT^4n8*h0 z+Mxe;ILSly&1CM17qhm~E3~4KUZE9Rv@4XUs9tApv@;F$+ieRM7tWnmF*$qk43e=j zFIN4|HH>EGk<}~jCGV^(AR(*%KxVAUg)d_dY~70A&9*c$o9(rAOqKnCt;f!;`h-2! zb)S{x`r**spKa>KTLGF*uaP;SaU^+7vgs&(AAqLQainlfPSiOKg;Tj}&9o>{JFIY4 zd)G|6eT4O+3@1BkZ42uoY>1h3t{whns^`lcPfoARj?zonok6(r1zavm7L{k4^h2rB zMk1Bxn7SsZ>(Z&4oGQ #include #include +#include "../wav/wav.h" -#define A 1 +#define A 3000 struct qam_system_s { int M; // Nombre de symboles M-QAM @@ -82,7 +83,7 @@ void modulate (qam_system* qam, double complex* symbols, int nb_symbols, double } // Demodulation QAM -void demodulate(qam_system* qam, double complex* s, int nb_symbols, uint8_t* bits_hat) { +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++) { @@ -90,8 +91,12 @@ void demodulate(qam_system* qam, double complex* s, int nb_symbols, uint8_t* bit } 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, j_cl = 0; @@ -106,7 +111,7 @@ void demodulate(qam_system* qam, double complex* s, int nb_symbols, uint8_t* bit } } - // index du symbole (id) : même mappage que dans bits_to_symbols() + // 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++) { @@ -131,37 +136,12 @@ double compare_bits(uint8_t* bits1, uint8_t* bits2, int nb_bits) { return (double)errors / nb_bits; } -void symbol_timing_recovery(double complex* r, int r_len, double complex* preamble, int preamble_len, int N_max, int* offset_est, int* N_est) { - double max_corr = 0; - int best_offset = 0; - int best_N = 1; - - for(int N_try = 1; N_try <= N_max; N_try++) { - for(int off = 0; off <= r_len - preamble_len * N_try; off++) { - double complex corr = 0; - for(int k = 0; k < preamble_len; k++) { - for(int n = 0; n < N_try; n++) { - corr += r[off + k * N_try + n] * conj(preamble[k]); - } - } - double mag = cabs(corr); - if(mag > max_corr) { - max_corr = mag; - best_offset = off; - best_N = N_try; - } - } - } - - *offset_est = best_offset; - *N_est = best_N; -} int main () { qam_system qam; qam.M = 16; qam.k = (int)log2((double)(qam.M)); qam.Fs = 44100; - qam.Ts = 0.0003; + qam.Ts = 0.05; qam.N = (int)qam.Fs * qam.Ts; qam.Fc = 2000; init_constellation(&qam); @@ -173,7 +153,7 @@ int main () { //for (int i = 0; i < nb_bits; i++) { // input_bits[i] = rand() % 2; //} - char* texte = "Bonjour tout le monde salut !!"; + char* texte = "Test du test"; int nb_chars = strlen(texte); int nb_bits = nb_chars * 8; int nb_symbols = (nb_bits + qam.k - 1) / qam.k; @@ -200,53 +180,27 @@ int main () { 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, 0); + add_noise(s, total_samples, sigma + 3); + + + 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"); // Démodulation - //uint8_t* output_bits = malloc(nb_bits * sizeof(uint8_t)); - //demodulate(&qam, s, nb_symbols, output_bits); + uint8_t* output_bits = malloc(nb_bits * sizeof(uint8_t)); + demodulate(&qam, s, nb_symbols, output_bits, fp_constel); - // Calcul du taux d'erreur - //double ber = compare_bits(input_bits, output_bits, nb_bits); - //printf("Taux d'erreur : %.4f\n", ber * 100); + fclose(fp_constel); - // Blind QAM - int preamble_symbols = 32; - uint8_t* preamble_bits = malloc(preamble_symbols * qam.k * sizeof(uint8_t)); - // Genere un préambule aléatoire - for(int i = 0; i < preamble_symbols * qam.k; i++) { - preamble_bits[i] = rand() % 2; - } - double complex* preamble_symbols_complex = (double complex*)malloc(sizeof(double complex) * preamble_symbols); - bits_to_symbols(&qam, preamble_bits, preamble_symbols * qam.k, preamble_symbols_complex); - // Ajout du préambule dans les données - int total_symbols = preamble_symbols + nb_symbols; - double complex* all_symbols = malloc(sizeof(double complex) * total_symbols); - // Copier le préambule - for(int i = 0; i < preamble_symbols; i++) { - all_symbols[i] = preamble_symbols_complex[i]; - } - // Copier les symboles réels - for(int i = 0; i < nb_symbols; i++) { - all_symbols[i + preamble_symbols] = symbols[i]; - } - int total_samples_with_preamble = total_symbols * qam.N; - double complex* s_with_preamble = malloc(sizeof(double complex) * total_samples_with_preamble); - - modulate(&qam, all_symbols, total_symbols, s_with_preamble); - - - // Symbol Timing Recovery blind - int offset_est = 0; - int N_est = 0; - symbol_timing_recovery(s_with_preamble, total_samples_with_preamble, preamble_symbols_complex, preamble_symbols, qam.N*2, &offset_est, &N_est); - - printf("Symbol Timing Recovery : offset=%d, N_est=%d (%d)\n", offset_est, N_est, qam.N); - - /* - // Calcul du BER - double ber = compare_bits(input_bits, output_bits, nb_bits); - printf("Taux d'erreur blind QAM: %.4f\n", ber * 100); // Reconstruction du texte char* texte_recup = malloc(nb_chars + 1); @@ -260,11 +214,22 @@ int main () { texte_recup[nb_chars] = '\0'; printf("Texte original : %s\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); + + // Affichage du signal dans un .wav + double* si = (double*)malloc(sizeof(double) * total_samples); + for (int i = 0; i < total_samples; i++) { + si[i] = cimag(s[i]); + } + write_wav("output.wav", si, total_samples); + // Libération mémoire free(input_bits); - //free(output_bits); + free(output_bits); free(symbols); free(s); free_constellation(&qam);