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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--- 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