diff --git a/LAHRIRI_WOLFF_CR_SAR_audio.pdf b/LAHRIRI_WOLFF_CR_SAR_audio.pdf
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diff --git a/Partie1/quesion2.m b/Partie1/quesion2.m
new file mode 100644
index 0000000000000000000000000000000000000000..ab9a1231ae014e9c0ba9a1c2c76cf0c2b30227d0
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+++ b/Partie1/quesion2.m
@@ -0,0 +1,31 @@
+% Charger les fichiers audio
+[y1, Fs1] = audioread('single_tone_piano1.wav');
+[y2, Fs2] = audioread('single_tone_piano2.wav');
+
+% Calculer la FFT
+N1 = length(y1);
+N2 = length(y2);
+f1 = (-N1/2:N1/2-1)*(Fs1/N1);
+f2 = (-N2/2:N2/2-1)*(Fs2/N2);
+
+Y1 = fftshift(abs(fft(y1)));
+Y2 = fftshift(abs(fft(y2)));
+
+% Affichage
+figure;
+subplot(2,1,1);
+plot(f1, 20*log10(Y1));
+title('Spectre du Piano 1');
+xlabel('Fréquence (Hz)');
+ylabel('Amplitude (dB)');
+xlim([0 2000]); % zoom sur la zone utile
+
+subplot(2,1,2);
+plot(f2, 20*log10(Y2));
+title('Spectre du Piano 2');
+xlabel('Fréquence (Hz)');
+ylabel('Amplitude (dB)');
+xlim([0 2000]); % zoom aussi
+
+% Sauvegarder la figure
+saveas(gcf, 'spectre_pianos.png');
\ No newline at end of file
diff --git a/Partie1/question1.m b/Partie1/question1.m
new file mode 100644
index 0000000000000000000000000000000000000000..1f8790edbc555057863144fc1b1ba156edaf0824
--- /dev/null
+++ b/Partie1/question1.m
@@ -0,0 +1,72 @@
+% --- Paramètres ---
+clear; close all; clc
+
+% Charger les sons d'instruments
+[instru1, Fs1] = audioread('single_tone_guitar_nylon_string_a2.wav'); % Exemple instrument à cordes
+[instru2, Fs2] = audioread('single_tone_violin-a3.wav'); % Exemple instrument à cordes
+[instru3, Fs3] = audioread('single_tone_cello-a3.wav'); % Exemple instrument à vent
+
+% Assurer que ce sont des signaux mono
+if size(instru1,2) > 1, instru1 = mean(instru1,2); end
+if size(instru2,2) > 1, instru2 = mean(instru2,2); end
+if size(instru3,2) > 1, instru3 = mean(instru3,2); end
+
+% Découper pour avoir la même durée
+N = 2^14; % Nombre d'échantillons (choisi ici pour avoir une puissance de 2)
+instru1 = instru1(1:N);
+instru2 = instru2(1:N);
+instru3 = instru3(1:N);
+
+% --- Calcul FFT ---
+f1 = (-N/2:N/2-1)*(Fs1/N); % Axe fréquentiel
+f2 = (-N/2:N/2-1)*(Fs2/N);
+f3 = (-N/2:N/2-1)*(Fs3/N);
+
+FFT1 = fftshift(fft(instru1));
+FFT2 = fftshift(fft(instru2));
+FFT3 = fftshift(fft(instru3));
+
+% --- Calcul de l'amplitude en dB ---
+Amp1 = 20*log10(abs(FFT1));
+Amp2 = 20*log10(abs(FFT2));
+Amp3 = 20*log10(abs(FFT3));
+
+% --- Affichage ---
+figure;
+subplot(3,1,1)
+plot(f1, Amp1);
+xlim([0 5000]); % Limiter entre 0 et 5000 Hz (à adapter si besoin)
+xlabel('Fréquence (Hz)');
+ylabel('Amplitude (dB)');
+title('Spectre de la Guitare');
+grid on
+
+subplot(3,1,2)
+plot(f2, Amp2);
+xlim([0 5000]);
+xlabel('Fréquence (Hz)');
+ylabel('Amplitude (dB)');
+title('Spectre du Violon');
+grid on
+
+subplot(3,1,3)
+plot(f3, Amp3);
+xlim([0 5000]);
+xlabel('Fréquence (Hz)');
+ylabel('Amplitude (dB)');
+title('Spectre de la contrebasse');
+grid on
+
+% --- Détermination de la fréquence fondamentale ---
+% Chercher le maximum dans la partie positive
+[~, idx1] = max(Amp1(N/2:end));
+[~, idx2] = max(Amp2(N/2:end));
+[~, idx3] = max(Amp3(N/2:end));
+
+f_fondamentale1 = f1(N/2 + idx1 - 1);
+f_fondamentale2 = f2(N/2 + idx2 - 1);
+f_fondamentale3 = f3(N/2 + idx3 - 1);
+
+fprintf('Fréquence fondamentale guitare : %.2f Hz\n', f_fondamentale1);
+fprintf('Fréquence fondamentale violon : %.2f Hz\n', f_fondamentale2);
+fprintf('Fréquence fondamentale flûte : %.2f Hz\n', f_fondamentale3);
\ No newline at end of file
diff --git a/Partie1/question3.m b/Partie1/question3.m
new file mode 100644
index 0000000000000000000000000000000000000000..78a7a178203ddf54073017ee3360c6747373f540
--- /dev/null
+++ b/Partie1/question3.m
@@ -0,0 +1,42 @@
+% Charger le son
+[y, Fs] = audioread('single_tone_piano1.wav');
+
+% FFT
+N = 2^nextpow2(length(y));
+Y = fft(y, N);
+P = abs(Y(1:N/2+1));
+f = Fs*(0:(N/2))/N;
+
+% Trouver la fondamentale (plus fort pic sous 500 Hz)
+[~, loc_f1] = max(P(f < 500)); % Suppose que f1 est sous 500Hz
+f1 = f(loc_f1);
+
+% Initialiser
+freq_harm = zeros(1,8);
+amp_harm = zeros(1,8);
+
+% Chercher 8 harmoniques autour de nf1
+for n = 1:8
+ [~, idx] = min(abs(f - n*f1)); % Trouver l'index proche de n*f1
+ freq_harm(n) = f(idx);
+ amp_harm(n) = P(idx);
+end
+
+% Durée du son
+duration = 2; % secondes
+t = 0:1/Fs:duration;
+
+% Signal synthétisé
+synth = zeros(size(t));
+for k = 1:8
+ synth = synth + amp_harm(k) * cos(2*pi*freq_harm(k)*t);
+end
+
+% Normaliser
+synth = synth / max(abs(synth));
+
+% Jouer le son
+sound(synth, Fs);
+
+% Sauvegarder si besoin
+audiowrite('piano_synthetise.wav', synth, Fs);
\ No newline at end of file
diff --git a/Partie1/question4.m b/Partie1/question4.m
new file mode 100644
index 0000000000000000000000000000000000000000..e6548d50549705d1ebfa78c7f2655eb84a2b6f28
--- /dev/null
+++ b/Partie1/question4.m
@@ -0,0 +1,28 @@
+% Définir les durées relatives
+attackTime = 0.1; % secondes
+decayTime = 0.2; % secondes
+sustainLevel = 0.6; % entre 0 et 1
+releaseTime = 0.5; % secondes
+
+% Créer l'enveloppe
+attackSamples = round(attackTime*Fs);
+decaySamples = round(decayTime*Fs);
+sustainSamples = round((duration - attackTime - decayTime - releaseTime)*Fs);
+releaseSamples = round(releaseTime*Fs);
+
+envelope = [linspace(0,1,attackSamples), ...
+ linspace(1,sustainLevel,decaySamples), ...
+ sustainLevel*ones(1,sustainSamples), ...
+ linspace(sustainLevel,0,releaseSamples)];
+
+% Ajuster au vecteur temps t
+envelope = [envelope, zeros(1, length(t) - length(envelope))];
+
+% Appliquer l'enveloppe au signal synthétisé
+synth_adsr = synth .* envelope;
+
+% Jouer le son
+sound(synth_adsr, Fs);
+
+% Sauvegarder
+audiowrite('piano_synthetise_adsr.wav', synth_adsr, Fs);
\ No newline at end of file
diff --git a/Partie2/question22.m b/Partie2/question22.m
new file mode 100644
index 0000000000000000000000000000000000000000..b25ae664c2354a58a38e46ec0a92813a351f761e
--- /dev/null
+++ b/Partie2/question22.m
@@ -0,0 +1,31 @@
+N = 1024;
+fe = 1000;
+t = (0: N - 1) / fe;
+x = sign(sin(2 * pi * 5 * t)); % signal carré 5 Hz
+
+% Filtrage passe-bas
+b = [0.5, 0.5];
+a = 1;
+y = filter(b, a, x);
+
+% FFT
+Xf = fftshift(fft(x)) / N;
+Yf = fftshift(fft(y)) / N;
+f = (-N / 2 : N / 2 - 1) * (fe / N);
+
+% Affichage avec subplot
+figure;
+
+subplot(2,1,1);
+plot(f, 20 * log10(abs(Xf) + 1e-12), 'b');
+xlabel('Fréquence (Hz)');
+ylabel('Amplitude (dB)');
+title('Spectre du signal d’entrée (x[k])');
+grid on;
+
+subplot(2,1,2);
+plot(f, 20 * log10(abs(Yf) + 1e-12), 'r');
+xlabel('Fréquence (Hz)');
+ylabel('Amplitude (dB)');
+title('Spectre du signal de sortie (y[k]) après filtrage');
+grid on;
diff --git a/Partie2/test_effet_reverb.m b/Partie2/test_effet_reverb.m
new file mode 100644
index 0000000000000000000000000000000000000000..5011b7c9472ca2e895002c96217a419ff5df8dbe
--- /dev/null
+++ b/Partie2/test_effet_reverb.m
@@ -0,0 +1,25 @@
+% test_effet_reverb.m
+% Script de test de la fonction effet_reverb avec mesure de temps
+
+% --- Étape 1 : Chargement du signal audio source ---
+[x, fe] = audioread('nylon-guitar.wav'); % x : signal source, fe : fréquence d'échantillonnage
+
+% --- Étape 2 : Simulation de la pièce ---
+addpath('C:\Users\infos\OneDrive\Bureau\IMT\Electrical Engineering IMT\SAR\synth_add\student_pack\src');
+z = simule_piece(x, fe); % réponse simulée de la pièce
+
+% --- Étape 3 : Estimation de la réponse impulsionnelle ---
+[Rzx, ~] = xcorr(z, x, 'none');
+h = Rzx / max(abs(Rzx)); % normalisation facultative
+
+% Application de la réverbération avec mesure de temps ---
+tic; % démarrage du chronomètre
+y = effet_reverb(x, h); % application de la réverbération
+temps_execution = toc; % arrêt du chronomètre
+
+% Affichage du temps d'exécution ---
+fprintf('Temps d''exécution de effet_reverb : %.6f secondes\n', temps_execution);
+
+% --- Étape 6 : Écoute et export du signal ---
+sound(y, fe); % écoute dans MATLAB
+audiowrite('nylon-guitar-reverbe.wav', y, fe); % export dans un fichier .wav
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diff --git a/Partie3/Q319.m b/Partie3/Q319.m
new file mode 100644
index 0000000000000000000000000000000000000000..f0f8a8b61bbb57ac865bb68c3502678bbe9b9c7c
--- /dev/null
+++ b/Partie3/Q319.m
@@ -0,0 +1,22 @@
+% Paramètres du filtre
+K = 10; % Taille du filtre de moyenne glissante
+Fe = 44100; % Fréquence d'échantillonnage
+Nfft = 4096; % Taille de la FFT pour la résolution
+
+% Réponse impulsionnelle : moyenne glissante
+h = ones(1, K) / K;
+
+% Réponse en fréquence
+H = fft(h, Nfft);
+H = fftshift(H); % Centrer autour de 0
+nu = linspace(-0.5, 0.5, Nfft); % Axe des fréquences réduites
+
+% Affichage
+figure;
+
+% Module linéaire
+plot(nu, abs(H), 'b', 'LineWidth', 1.5);
+xlabel('Fréquence réduite \nu');
+ylabel('|H_r(\nu)|');
+title('Module linéaire du filtre h_r(k)');
+grid on;
\ No newline at end of file
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diff --git a/Partie3/analyse_delay.fig b/Partie3/analyse_delay.fig
new file mode 100644
index 0000000000000000000000000000000000000000..6c448c51ddaa51cfa8e66dbdf1d3fdddec5f8985
Binary files /dev/null and b/Partie3/analyse_delay.fig differ
diff --git a/Partie3/analyse_delay.m b/Partie3/analyse_delay.m
new file mode 100644
index 0000000000000000000000000000000000000000..c1ddf4738fcc882ed34c060d7682d4a1fa916358
--- /dev/null
+++ b/Partie3/analyse_delay.m
@@ -0,0 +1,26 @@
+% analyse_delay.m
+% Script pour obtenir et tracer la réponse impulsionnelle h(k) d’un filtre à retard
+
+% Paramètres du filtre
+tau = 5; % Retard en échantillons
+g = 0.7; % Coefficient d'atténuation
+N = 10 * tau; % Durée d'observation suffisante pour voir les réflexions
+
+% Signal d'entrée : une impulsion de Dirac
+x = zeros(1, N);
+x(1) = 1; % Dirac à k = 0
+
+% Définition des coefficients du filtre
+a = [1, zeros(1, tau - 1), g];
+b = 1;
+
+% Calcul de la réponse impulsionnelle
+h = filter(b, a, x);
+
+% Affichage de la réponse
+k = 0:N-1;
+stem(k, h, 'filled');
+xlabel('k');
+ylabel('h(k)');
+title('Réponse impulsionnelle du filtre à retard');
+grid on;
\ No newline at end of file
diff --git a/Partie3/analyse_freq_delay_filtre.m b/Partie3/analyse_freq_delay_filtre.m
new file mode 100644
index 0000000000000000000000000000000000000000..c4225f2b1bc25195f63e01c96c41abed2f722862
--- /dev/null
+++ b/Partie3/analyse_freq_delay_filtre.m
@@ -0,0 +1,28 @@
+% analyse_freq_delay_filtre.m
+% Analyse de la réponse fréquentielle du système à delay filtré
+
+% Paramètres
+Fe = 44100; % fréquence d'échantillonnage
+g = 0.9; % atténuation
+K = 10; % longueur moyenne
+tau_s = 0.25; % retard en secondes
+tau = round(tau_s * Fe);
+N = 4096; % taille FFT
+
+% Impulsion en entrée
+x = zeros(1, N);
+x(1) = 1; % Dirac
+
+% Réponse du système
+h = effet_delay_filtre(x, tau_s, g, K, Fe);
+
+% Réponse fréquentielle
+H = fft(h, N);
+nu = linspace(0, 1, N); % fréquence réduite
+
+% Affichage
+plot(nu, abs(H), 'LineWidth', 1.5);
+xlabel('Fréquence réduite \nu');
+ylabel('|h(nu)|');
+title('Réponse fréquentielle du système à delay filtré');
+grid on;
diff --git a/Partie3/effet_delay.m b/Partie3/effet_delay.m
new file mode 100644
index 0000000000000000000000000000000000000000..d8b7672bdcfbfcfe5f761335fab3469a742da94e
--- /dev/null
+++ b/Partie3/effet_delay.m
@@ -0,0 +1,24 @@
+function y = effet_delay(x, delay_s, g, Fe)
+%EFFET_DELAY applique un effet de retard (delay) sur un signal audio.
+%
+% y = effet_delay(x, delay_s, g, Fe)
+%
+% Entrées :
+% - x : signal d'entrée (vecteur)
+% - delay_s : temps de retard en secondes
+% - g : coefficient d'atténuation
+% - Fe : fréquence d'échantillonnage (Hz)
+%
+% Sortie :
+% - y : signal de sortie filtré avec effet de delay
+
+ % Convertir le temps de delay en nombre d'échantillons
+ tau = round(delay_s * Fe);
+
+ % Définir les coefficients du filtre (forme canonique)
+ a = [1, zeros(1, tau - 1), g];
+ b = 1;
+
+ % Appliquer le filtre
+ y = filter(b, a, x);
+end
diff --git a/Partie3/effet_delay_filtre.m b/Partie3/effet_delay_filtre.m
new file mode 100644
index 0000000000000000000000000000000000000000..0accf8eb3ffdf0de9a3c5522d86b95562f4c0122
--- /dev/null
+++ b/Partie3/effet_delay_filtre.m
@@ -0,0 +1,35 @@
+function y = effet_delay_filtre(x, delay_s, g, K, Fe)
+%EFFET_DELAY_FILTRE applique un effet de delay avec moyenne glissante dans la boucle de retour.
+%
+% y = effet_delay_filtre(x, delay_s, g, K, Fe)
+%
+% Entrées :
+% - x : signal d'entrée
+% - delay_s : durée du retard (en secondes)
+% - g : coefficient d'amortissement
+% - K : longueur du filtre de moyenne
+% - Fe : fréquence d'échantillonnage (Hz)
+%
+% Sortie :
+% - y : signal de sortie avec effet de delay filtré
+
+ % Calcul du retard en échantillons
+ tau = round(delay_s * Fe);
+
+ % Initialisation du vecteur de sortie
+ N = length(x);
+ y = zeros(size(x));
+
+ % Boucle de calcul récursif
+ for k = 1:N
+ % Calcul de la somme de moyenne glissante
+ somme = 0;
+ for n = 0:K-1
+ index = k - tau - n;
+ if index > 0
+ somme = somme + y(index);
+ end
+ end
+ y(k) = x(k) - (g / K) * somme;
+ end
+end
diff --git a/Partie3/effet_reverb.m b/Partie3/effet_reverb.m
new file mode 100644
index 0000000000000000000000000000000000000000..bb0010a54b0cf2b1662118354e32488ae85031bf
--- /dev/null
+++ b/Partie3/effet_reverb.m
@@ -0,0 +1,28 @@
+function y = effet_reverb(x, h)
+% EFFET_REVERB Applique un effet de réverbération à un signal source
+%
+% y = effet_reverb(x, h)
+%
+% Entrées :
+% - x : signal source (vecteur ligne ou colonne)
+% - h : réponse impulsionnelle estimée (vecteur)
+%
+% Sortie :
+% - y : signal x après application de la réverbération (convolué par h)
+
+ % Vérification des entrées
+ if nargin < 2
+ error('Deux arguments sont requis : effet_reverb(x, h)');
+ end
+
+ % Conversion éventuelle en vecteurs colonne
+ if isrow(x)
+ x = x(:);
+ end
+ if isrow(h)
+ h = h(:);
+ end
+
+ % Convolution via un filtre RIF (réponse impulsionnelle finie)
+ y = filter(h, 1, x);
+end
diff --git a/Partie3/effet_reverb_FFT.m b/Partie3/effet_reverb_FFT.m
new file mode 100644
index 0000000000000000000000000000000000000000..40601932fba51b00454448684a06c81383ac57eb
--- /dev/null
+++ b/Partie3/effet_reverb_FFT.m
@@ -0,0 +1,42 @@
+function y = effet_reverb_FFT(x, h)
+%EFFET_REVERB_FFT Applique l'effet de réverbération via convolution rapide (FFT)
+%
+% y = effet_reverb_FFT(x, h)
+%
+% Entrées :
+% - x : signal source
+% - h : réponse impulsionnelle estimée
+%
+% Sortie :
+% - y : signal réverbéré obtenu via convolution rapide dans le domaine fréquentiel
+
+ % Vérification des entrées
+ if nargin < 2
+ error('Deux arguments sont requis : effet_reverb_FFT(x, h)');
+ end
+
+ % Conversion éventuelle en vecteurs colonne
+ if isrow(x)
+ x = x(:);
+ end
+ if isrow(h)
+ h = h(:);
+ end
+
+ % Détermination de la taille optimale pour la FFT
+ NFFT = 2^nextpow2(length(x) + length(h) - 1);
+
+ % FFT des deux signaux (zéro-padding)
+ Xf = fft(x, NFFT);
+ Hf = fft(h, NFFT);
+
+ % Produit dans le domaine fréquentiel
+ Yf = Xf .* Hf;
+
+ % Revenir dans le domaine temporel
+ y_temp = ifft(Yf);
+
+ % Tronquer à la longueur réelle attendue
+ y = real(y_temp(1 : length(x)));
+
+end
diff --git a/Partie3/karplusStrong.m b/Partie3/karplusStrong.m
new file mode 100644
index 0000000000000000000000000000000000000000..0265e285477801cfa0fc342a47d596c049426e05
--- /dev/null
+++ b/Partie3/karplusStrong.m
@@ -0,0 +1,23 @@
+function signal = karplusStrong(freqHz, iterations, fs, g, alpha)
+ % freqHz : fréquence fondamentale en Hz
+ % iterations : durée en nombre d'échantillons
+ % fs : fréquence d'échantillonnage
+ % g : facteur d'amortissement (0 < g < 1)
+ % alpha : coefficient du filtre de boucle (entre 0 et 1)
+
+ N = floor(fs / freqHz); % taille de la ligne à retard
+ x = 2 * rand(1, N) - 1; % bruit blanc centré
+
+ % Initialisation de la ligne à retard
+ y = zeros(1, iterations);
+ y(1:N) = x; % amorçage avec bruit blanc
+ for k = N+2:iterations
+ y(k) = g * (alpha * y(k - N) + (1 - alpha) * y(k - N - 1));
+ end
+
+ signal = y;
+
+ % Lecture et affichage
+ sound(signal, fs);
+ plot(signal), grid on, title('Karplus-Strong avec perte d’énergie')
+end
diff --git a/Partie3/question314.m b/Partie3/question314.m
new file mode 100644
index 0000000000000000000000000000000000000000..5ce215ca5f1438941517cdcd52f58a2a0ecb4cab
--- /dev/null
+++ b/Partie3/question314.m
@@ -0,0 +1,28 @@
+% Comparaison réponse fréquentielle théorique vs DFT numérique
+
+% Paramètres du filtre
+tau = 5; % retard en échantillons
+g = 0.7; % atténuation
+N = 512; % nombre de points FFT
+
+% --- Réponse théorique ---
+nu = linspace(0, 1, N); % fréquence réduite (de 0 à 1)
+mod_theo = 1 ./ sqrt(1 + 2*g*cos(2*pi*nu*tau) + g^2);
+
+% --- Réponse impulsionnelle numérique ---
+x = zeros(1, N);
+x(1) = 1; % Dirac
+a = [1, zeros(1, tau - 1), g];
+b = 1;
+h = filter(b, a, x);
+mod_dft = abs(fft(h, N)); % transformée de Fourier discrète
+
+% --- Tracé comparatif ---
+figure;
+plot(nu, mod_theo, 'b', 'LineWidth', 2); hold on;
+plot(nu, mod_dft(1:N), 'r--', 'LineWidth', 1.5);
+xlabel('Frequence reduite \nu');
+ylabel('|\hat{h}(\nu)|');
+legend('Theorique', 'Numerique (TFD)');
+title('Comparaison du module de la reponse en frequence');
+grid on;
diff --git a/Partie3/question33.m b/Partie3/question33.m
new file mode 100644
index 0000000000000000000000000000000000000000..75a27d7612936529387943034b6668ce28f5fb54
--- /dev/null
+++ b/Partie3/question33.m
@@ -0,0 +1,20 @@
+% Charger les signaux depuis le fichier fourni
+load signal_excitation.mat % Contient xe1, xe2, fe
+
+% Calcul des autocorrélations pour chaque signal
+[Rxe1, lags1] = xcorr(xe1, 'normalized');
+[Rxe2, lags2] = xcorr(xe2, 'normalized');
+
+% Affichage comparatif des fonctions d’autocorrélation
+figure;
+subplot(2,1,1)
+plot(lags1, Rxe1);
+title('Autocorrélation de xe1');
+xlabel('Retard'); ylabel('Amplitude');
+grid on;
+
+subplot(2,1,2)
+plot(lags2, Rxe2);
+title('Autocorrélation de xe2');
+xlabel('Retard'); ylabel('Amplitude');
+grid on;
\ No newline at end of file
diff --git a/Partie3/question34.m b/Partie3/question34.m
new file mode 100644
index 0000000000000000000000000000000000000000..37d2eef6d5883fd18f24f16da435374d67d51a96
--- /dev/null
+++ b/Partie3/question34.m
@@ -0,0 +1,23 @@
+% Chargement du signal et de la fréquence d’échantillonnage
+load signal_excitation.mat % Contient xe1, xe2, fe
+x = xe1; % Signal d'excitation retenu
+
+% Simulation de la réponse de la pièce
+z = simule_piece(x, fe); % Appel avec la fréquence en argument
+
+% Corrélation croisée brute (non normalisée)
+[Rzx, lags] = xcorr(z, x, 'none');
+
+% (Optionnel) Normalisation manuelle
+Rzx = Rzx / max(abs(Rzx));
+
+% Axe temporel en secondes
+t = lags / fe;
+
+% Affichage du résultat
+figure;
+plot(t, Rzx);
+xlabel('Temps (s)');
+ylabel('Amplitude estimée');
+title('Réponse impulsionnelle estimée de la pièce');
+grid on;
diff --git a/Partie3/question35.m b/Partie3/question35.m
new file mode 100644
index 0000000000000000000000000000000000000000..d1d678bf2261448497ec4a7dc4c0789094e14dfe
--- /dev/null
+++ b/Partie3/question35.m
@@ -0,0 +1,24 @@
+function y = effet_reverb(x, h)
+%EFFET_REVERB Applique un effet de réverbération à un signal
+%
+% y = effet_reverb(x, h)
+%
+% Entrées :
+% - x : signal source (vecteur ligne ou colonne)
+% - h : réponse impulsionnelle estimée (réverbération)
+%
+% Sortie :
+% - y : signal x après application de la réverbération (convolué par h)
+
+ % Vérification : colonne -> colonne
+ if isrow(x)
+ x = x(:);
+ end
+ if isrow(h)
+ h = h(:);
+ end
+
+ % Application de la convolution (par filtrage)
+ y = filter(h, 1, x); % RIF : pas de partie récursive
+
+end
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new file mode 100644
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+(k) t
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+%%Trailer
+%%Pages: 1
+%%EOF
diff --git a/wav/nylon-guitar-reverbe.wav b/wav/nylon-guitar-reverbe.wav
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diff --git a/wav/nylon-guitar.wav b/wav/nylon-guitar.wav
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diff --git a/wav/piano_chord.wav b/wav/piano_chord.wav
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diff --git a/wav/piano_delay_filtre.wav b/wav/piano_delay_filtre.wav
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diff --git a/wav/piano_synthetise.wav b/wav/piano_synthetise.wav
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diff --git a/wav/piano_synthetise_adsr.wav b/wav/piano_synthetise_adsr.wav
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diff --git a/wav/piano_synthetise_idft.wav b/wav/piano_synthetise_idft.wav
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index 0000000000000000000000000000000000000000..bc05d6d120a5693db61e672cbe8bdb3e1cfd2045
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diff --git a/wav/question1.m b/wav/question1.m
new file mode 100644
index 0000000000000000000000000000000000000000..1f8790edbc555057863144fc1b1ba156edaf0824
--- /dev/null
+++ b/wav/question1.m
@@ -0,0 +1,72 @@
+% --- Paramètres ---
+clear; close all; clc
+
+% Charger les sons d'instruments
+[instru1, Fs1] = audioread('single_tone_guitar_nylon_string_a2.wav'); % Exemple instrument à cordes
+[instru2, Fs2] = audioread('single_tone_violin-a3.wav'); % Exemple instrument à cordes
+[instru3, Fs3] = audioread('single_tone_cello-a3.wav'); % Exemple instrument à vent
+
+% Assurer que ce sont des signaux mono
+if size(instru1,2) > 1, instru1 = mean(instru1,2); end
+if size(instru2,2) > 1, instru2 = mean(instru2,2); end
+if size(instru3,2) > 1, instru3 = mean(instru3,2); end
+
+% Découper pour avoir la même durée
+N = 2^14; % Nombre d'échantillons (choisi ici pour avoir une puissance de 2)
+instru1 = instru1(1:N);
+instru2 = instru2(1:N);
+instru3 = instru3(1:N);
+
+% --- Calcul FFT ---
+f1 = (-N/2:N/2-1)*(Fs1/N); % Axe fréquentiel
+f2 = (-N/2:N/2-1)*(Fs2/N);
+f3 = (-N/2:N/2-1)*(Fs3/N);
+
+FFT1 = fftshift(fft(instru1));
+FFT2 = fftshift(fft(instru2));
+FFT3 = fftshift(fft(instru3));
+
+% --- Calcul de l'amplitude en dB ---
+Amp1 = 20*log10(abs(FFT1));
+Amp2 = 20*log10(abs(FFT2));
+Amp3 = 20*log10(abs(FFT3));
+
+% --- Affichage ---
+figure;
+subplot(3,1,1)
+plot(f1, Amp1);
+xlim([0 5000]); % Limiter entre 0 et 5000 Hz (à adapter si besoin)
+xlabel('Fréquence (Hz)');
+ylabel('Amplitude (dB)');
+title('Spectre de la Guitare');
+grid on
+
+subplot(3,1,2)
+plot(f2, Amp2);
+xlim([0 5000]);
+xlabel('Fréquence (Hz)');
+ylabel('Amplitude (dB)');
+title('Spectre du Violon');
+grid on
+
+subplot(3,1,3)
+plot(f3, Amp3);
+xlim([0 5000]);
+xlabel('Fréquence (Hz)');
+ylabel('Amplitude (dB)');
+title('Spectre de la contrebasse');
+grid on
+
+% --- Détermination de la fréquence fondamentale ---
+% Chercher le maximum dans la partie positive
+[~, idx1] = max(Amp1(N/2:end));
+[~, idx2] = max(Amp2(N/2:end));
+[~, idx3] = max(Amp3(N/2:end));
+
+f_fondamentale1 = f1(N/2 + idx1 - 1);
+f_fondamentale2 = f2(N/2 + idx2 - 1);
+f_fondamentale3 = f3(N/2 + idx3 - 1);
+
+fprintf('Fréquence fondamentale guitare : %.2f Hz\n', f_fondamentale1);
+fprintf('Fréquence fondamentale violon : %.2f Hz\n', f_fondamentale2);
+fprintf('Fréquence fondamentale flûte : %.2f Hz\n', f_fondamentale3);
\ No newline at end of file
diff --git a/wav/question2.m b/wav/question2.m
new file mode 100644
index 0000000000000000000000000000000000000000..4334df60e470002b064d458fdda89de226d5b1e6
--- /dev/null
+++ b/wav/question2.m
@@ -0,0 +1,66 @@
+% analyse_inharmonicite.m
+% Analyse spectrale et inharmonicité de deux sons de piano
+
+clear; close all;
+
+%% --- Paramètres ---
+N_harmo = 7; % nombre d'harmoniques à extraire
+Nfft = 2^15; % résolution spectrale suffisante
+
+%% --- Fonction pour analyser un fichier ---
+function [f1, f_th, f_mes, xi] = analyse_piano(filename, N_harmo, Nfft)
+ [x, Fe] = audioread(filename);
+ x = x(:, 1); % mono
+ x = x .* hann(length(x)); % fenêtrage
+ X = abs(fft(x, Nfft));
+ X = X(1:Nfft/2);
+ f = (0:Nfft/2-1)*(Fe/Nfft);
+
+ % Détection de la fondamentale
+ [~, idx_f1] = max(X);
+ f1 = f(idx_f1);
+
+ % Recherche des harmoniques
+ f_th = (1:N_harmo) * f1;
+ f_mes = zeros(1, N_harmo);
+
+ for n = 1:N_harmo
+ % Chercher le pic dans ±30 Hz autour de nf1
+ fmin = f_th(n) - 30;
+ fmax = f_th(n) + 30;
+ idx_range = find(f >= fmin & f <= fmax);
+ [~, local_idx] = max(X(idx_range));
+ f_mes(n) = f(idx_range(local_idx));
+ end
+
+ % Calcul de l’inharmonicité
+ xi = 1200 * (log2(f_mes) - log2(f_th));
+end
+
+%% --- Piano 1 ---
+[f1_1, fth_1, fmes_1, xi_1] = analyse_piano("single_tone_piano1.wav", N_harmo, Nfft);
+
+%% --- Piano 2 ---
+[f1_2, fth_2, fmes_2, xi_2] = analyse_piano("single_tone_piano2.wav", N_harmo, Nfft);
+
+%% --- Affichage des résultats ---
+fprintf("Fréquence fondamentale Piano 1 : %.2f Hz\n", f1_1);
+fprintf("Fréquence fondamentale Piano 2 : %.2f Hz\n\n", f1_2);
+
+fprintf("=== Résultats Piano 1 ===\n");
+disp(table((2:N_harmo)', fth_1(2:end)', fmes_1(2:end)', xi_1(2:end)', ...
+ 'VariableNames', {'n', 'f_theorique', 'f_mesuree', 'inharmonicite'}));
+
+fprintf("=== Résultats Piano 2 ===\n");
+disp(table((2:N_harmo)', fth_2(2:end)', fmes_2(2:end)', xi_2(2:end)', ...
+ 'VariableNames', {'n', 'f_theorique', 'f_mesuree', 'inharmonicite'}));
+
+%% --- Tracé comparatif ---
+figure;
+plot(2:N_harmo, xi_1(2:end), 'bo-', 'LineWidth', 1.5); hold on;
+plot(2:N_harmo, xi_2(2:end), 'r*-', 'LineWidth', 1.5);
+xlabel('Harmonique n');
+ylabel('\xi (cents)');
+title('Inharmonicité comparée des deux pianos');
+legend('Piano 1', 'Piano 2');
+grid on;
diff --git a/wav/question3.m b/wav/question3.m
new file mode 100644
index 0000000000000000000000000000000000000000..78a7a178203ddf54073017ee3360c6747373f540
--- /dev/null
+++ b/wav/question3.m
@@ -0,0 +1,42 @@
+% Charger le son
+[y, Fs] = audioread('single_tone_piano1.wav');
+
+% FFT
+N = 2^nextpow2(length(y));
+Y = fft(y, N);
+P = abs(Y(1:N/2+1));
+f = Fs*(0:(N/2))/N;
+
+% Trouver la fondamentale (plus fort pic sous 500 Hz)
+[~, loc_f1] = max(P(f < 500)); % Suppose que f1 est sous 500Hz
+f1 = f(loc_f1);
+
+% Initialiser
+freq_harm = zeros(1,8);
+amp_harm = zeros(1,8);
+
+% Chercher 8 harmoniques autour de nf1
+for n = 1:8
+ [~, idx] = min(abs(f - n*f1)); % Trouver l'index proche de n*f1
+ freq_harm(n) = f(idx);
+ amp_harm(n) = P(idx);
+end
+
+% Durée du son
+duration = 2; % secondes
+t = 0:1/Fs:duration;
+
+% Signal synthétisé
+synth = zeros(size(t));
+for k = 1:8
+ synth = synth + amp_harm(k) * cos(2*pi*freq_harm(k)*t);
+end
+
+% Normaliser
+synth = synth / max(abs(synth));
+
+% Jouer le son
+sound(synth, Fs);
+
+% Sauvegarder si besoin
+audiowrite('piano_synthetise.wav', synth, Fs);
\ No newline at end of file
diff --git a/wav/question5.m b/wav/question5.m
new file mode 100644
index 0000000000000000000000000000000000000000..b55c6b4fc5a9393ec07b0fade8b3fd0b1f0fc4ef
--- /dev/null
+++ b/wav/question5.m
@@ -0,0 +1,23 @@
+% Créer un spectre vide
+X = zeros(1, N/2+1);
+
+% Placer les amplitudes aux bonnes fréquences
+for k = 1:8
+ [~, idx] = min(abs(f - freq_harm(k)));
+ X(idx) = amp_harm(k); % Spectre à moitié (positif uniquement)
+end
+
+% Remplir la partie négative (symétrie conjugée)
+X_full = [X, conj(flip(X(2:end-1)))];
+
+% Signal synthétisé par IDFT
+synth_idft = real(ifft(X_full));
+
+% Normaliser
+synth_idft = synth_idft / max(abs(synth_idft));
+
+% Jouer le son
+sound(synth_idft, Fs);
+
+% Sauvegarder
+audiowrite('piano_synthetise_idft.wav', synth_idft, Fs);
\ No newline at end of file
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