PLL

2025-10-23 18:45:13 +02:00
parent 9b652e9338
commit bf8421abb6
6 changed files with 964 additions and 419 deletions
--- a/QAM/c.py
+++ b/QAM/c.py
@ -0,0 +1,68 @@
 import numpy as np
 import matplotlib.pyplot as plt
 from matplotlib.animation import FuncAnimation
 # --- Demande à l'utilisateur ---
 user_input = input("GIF ? (o/n) : ").strip().lower()
 GENERATE_GIF = user_input == 'o'
 # --- Fichiers ---
 ref_file = "constellation_ref.dat"   # constellation de référence
 rx_file = "constellation.dat"        # symboles corrigés par la PLL
 # Charger les données
 ref_constel = np.loadtxt(ref_file)  # colonnes I Q
 rx_data = np.loadtxt(rx_file)       # colonnes I Q
 # Paramètres
 window_size = 50   # nombre de symboles à afficher dans la fenêtre
 speed_factor = 5   # pour accélérer l'animation
 N_frames = len(rx_data)
 # Figure
 fig, ax = plt.subplots(figsize=(6,6))
 ax.set_title("Rolling Constellation avec PLL")
 ax.set_xlabel("I")
 ax.set_ylabel("Q")
 ax.grid(True)
 # Constellation de référence
 ax.scatter(ref_constel[:,0], ref_constel[:,1], c='red', marker='x', label='Référence')
 # Points PLL
 scat = ax.scatter([], [], c='blue', s=20, label='Points récents')
 last_point = ax.scatter([], [], c='green', s=50, label='Dernier symbole')
 ax.set_xlim(np.min(ref_constel[:,0])-0.5, np.max(ref_constel[:,0])+0.5)
 ax.set_ylim(np.min(ref_constel[:,1])-0.5, np.max(ref_constel[:,1])+0.5)
 ax.legend()
 # Initialisation
 def init():
    scat.set_offsets(np.empty((0,2)))
    last_point.set_offsets(np.empty((0,2)))
    return scat, last_point
 # Mise à jour
 def update(frame):
    idx = min(frame*speed_factor, N_frames)
    start_idx = max(0, idx - window_size)
    data_window = rx_data[start_idx:idx]
    scat.set_offsets(data_window)
    if len(data_window) > 0:
        last_point.set_offsets(data_window[-1:])
    return scat, last_point
 # Création de l'animation
 ani = FuncAnimation(fig, update, frames=int(N_frames/speed_factor)+1,
                    init_func=init, blit=True, interval=20)
 # --- Sauvegarde GIF conditionnelle ---
 if GENERATE_GIF:
    ani.save("pll_constellation.gif", writer='pillow', fps=30)
    print("GIF généré : pll_constellation.gif")
 # Affichage à l'écran
 plt.show()
--- a/QAM/constellation.dat
+++ b/QAM/constellation.dat
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 315  0.60214958
 316 -0.65258179
 317 -0.25001500
 318  0.44121658
 319  0.96245495
 320  1.45675107
 321  2.69145796
 322  2.37095582
 323  3.97637516
 324  3.85361441
 325  3.58577535
 326  3.50000828
 327 -0.43423912
 328  1.36523917
 329  2.18195567
 330  5.21570149
 331  4.97610029
 332  3.49323687
 333  2.10115109
 334  0.17235424
 335 -1.65693151
 336 -1.19993225
 337 -2.11430285
 338 -2.08670069
 339 -2.53396648
 340 -3.72798679
 341 -5.04291244
 342 -4.91874652
 343 -5.80267373
 344 -5.52241278
 345 -4.28532392
 346 -2.92635899
 347 -4.17278916
 348 -3.22602464
 349 -3.35881958
 350 -1.26911975
 351 -3.84201081
 352 -2.30996479
 353 -1.51851602
 354  0.19661667
 355  2.00483430
 356  5.35872769
 357  5.51796261
 358  8.62712861
 359  8.90680187
 360  8.76741407
 361  6.92001797
 362  5.93110615
 363  3.88445548
 364  4.88271185
 365  2.96859712
 366  5.65956130
 367  1.90664653
 368  0.61185042
 369 -1.36498789
 370 -3.07352133
 371 -5.02975949
 372 -6.06279919
 373 -7.38376800
 374 -7.93086081
 375 -6.88736975
 376 -7.29285632
 377 -6.12726282
 378 -4.89349560
 379 -3.99839930
 380 -1.99635080
 381 -2.17305647
 382  1.25292461
 383  3.15141476
 384  3.73890886
 385  4.68866735
 386  5.46853657
 387  6.38095697
 388  5.18027131
 389  3.03735287
 390  3.12669418
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 394 -0.31489838
 395 -2.04849665
 396 -4.23446144
 397 -3.67551828
 398 -3.76101457
 399 -4.01155962
 400 -7.40896510
 401 -6.34552867
 402 -4.55391017
 403 -2.77388463
 404 -2.18594372
 405 -0.88289000
 406  1.42591973
 407  2.18216875
 408  5.82453862
 409  6.82758168
 410  5.95849746
 411  4.78360579
 412  5.21365704
 413  7.31742854
 414  7.11921723
 415  6.83090473
--- a/QAM/qam.c
+++ b/QAM/qam.c
@ -314,6 +314,56 @@ void po(qam_system* qam, double complex* s_with_preamble, double complex* preamb
    }
 }
 // Costas loop
 void pll(qam_system* qam, double complex* s_with_preamble, double complex* r_corr, int L, int total_samples, 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 start_data_idx = L * qam->N;
    int N = qam->N;
    for (int k = 0; k < nb_symbols; k++) {
        double complex r_k = 0;
        for (int n = 0; n < N; n++) {
            int idx = start_data_idx + k * N + n;
            double t = (double)idx / qam->Fs;
            r_k += s_with_preamble[idx] * cexp(-2.0 * I * M_PI * qam->Fc * t) / A;
        }
        double complex r_symbol = r_k / N;
        r_symbol *= cexp(-I * phase_est);
        double min_dist = INFINITY;
        double complex closest = 0;
        for (int idx = 0; idx < qam->M; idx++) {
            double dist = cabs(r_symbol - qam->constellation[idx]);
            if (dist < min_dist) {
                min_dist = dist;
                closest = qam->constellation[idx];
            }
        }
        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;
        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 = start_data_idx + k * N + n;
            r_corr[idx] = s_with_preamble[idx] * cexp(-I * phase_est);
        }
    }
 }
 int main () {
    // Initialisation du system qam
    qam_system qam;
@ -354,7 +404,7 @@ int main () {
    double complex* s_with_preamble = concat_preamble_signal(preamble_mod, L, s_mod, nb_symbols, qam.N);
    // Ajout du bruit
-    add_noise(s_with_preamble, total_samples, 10);
+    add_noise(s_with_preamble, total_samples, 24);
    FILE *fp_ref = fopen("constellation_ref.dat", "w");
    fill_constellation_data(&qam, fp_ref);
@ -364,7 +414,7 @@ int main () {
    add_dephasage(s_with_preamble, M_PI / 6.0 , total_samples);
    // AJout de decalage de fréquence
-    add_freq(&qam, s_with_preamble, 10, total_samples); 
+    add_freq(&qam, s_with_preamble, 50, total_samples); 
    // Estimation / correction du CFO
    cfo(s_with_preamble, qam.N, L, qam.Fs, total_samples, qam.Fc);
@ -373,10 +423,21 @@ int main () {
    // Correction phase
    po(&qam, s_with_preamble, preamble, L, total_samples);
    // PLL
    double complex* s_corrected = malloc(sizeof(double complex) * total_samples);
    double Kp = 0.5;
    double Ki = 0.01;
    double alpha = 0.1;
    FILE *fp_pll_error = fopen("pll_error.dat", "w");
    pll(&qam, s_with_preamble, s_corrected, L, total_samples, nb_symbols, Kp, Ki, alpha, fp_pll_error);
    fclose(fp_pll_error);
    // Démodulation
    FILE *fp_constel = fopen("constellation.dat", "w");
    uint8_t* output_bits = (uint8_t*)malloc(nb_bits * sizeof(uint8_t));
-    demodulate(&qam, s_with_preamble + L * qam.N, nb_symbols, output_bits, fp_constel);
+    demodulate(&qam, s_corrected + L * qam.N, nb_symbols, output_bits, fp_constel);
    fclose(fp_constel);
    // Reconstruction du texte