Obisidian vault auto-backup: 07-01-2026 13:41:49 on . 5 files edited

.obsidian/workspace.json

@@ -37,10 +37,10 @@
             "state": {
               "type": "pdf",
               "state": {
-                "file": "ISEN/Réseau/CIPA4/TP/Module 4/M04 TP 01 - Communication.pdf"
+                "file": "ISEN/Réseau/CIPA4/TP/Module 5/M05 TP 01 - Les commandes.pdf"
               },
               "icon": "lucide-file-text",
-              "title": "M04 TP 01 - Communication"
+              "title": "M05 TP 01 - Les commandes"
             }
           }
         ],
@@ -219,17 +219,17 @@
   },
   "active": "8beea5ef99c3c6ed",
   "lastOpenFiles": [
-    "ISEN/Traitement du signal/CIPA4/TP/TP3/TP3cipa_MARQUET.pdf",
-    "ISEN/Traitement du signal/CIPA4/TP/TP3/TP3_Experience3.m",
-    "ISEN/Traitement du signal/CIPA4/TP/TP3/TP3_Experience2.m",
-    "ISEN/Traitement du signal/CIPA4/TP/TP3/TP3_Experience1.m",
-    "ISEN/Traitement du signal/CIPA4/TP/TP3/E71marquet.wav",
-    "ISEN/Traitement du signal/CIPA4/TP/TP2/TP2cipa_MARQUET.pdf",
-    "ISEN/Traitement du signal/CIPA4/TP/TP2/~$P2cipa.docx",
-    "ISEN/Traitement du signal/CIPA4/TP/TP2/TP2_Experience7.m",
-    "ISEN/Traitement du signal/CIPA4/TP/TP2/TP2_Experience6.m",
-    "ISEN/Traitement du signal/CIPA4/TP/TP2/TP2_Experience5.m",
-    "ISEN/Réseau/CIPA4/TP/Module 4/M04 TP 02 -Packet_Tracer-La_communication.pka~",
+    "ISEN/Traitement du signal/CIPA4/TP/TP4/~WRL3213.tmp",
+    "ISEN/Traitement du signal/CIPA4/TP/TP4/~WRD3209.tmp",
+    "ISEN/Traitement du signal/CIPA4/TP/TP4/TP4_Experience1.m",
+    "ISEN/Traitement du signal/CIPA4/TP/TP4/TP3_Experience1.m",
+    "ISEN/Traitement du signal/CIPA4/TP/TP4/~WRL0001.tmp",
+    "ISEN/Traitement du signal/CIPA4/TP/TP4/~WRD0000.tmp",
+    "ISEN/Traitement du signal/CIPA4/TP/TP4/~$P4cipa.doc",
+    "ISEN/Traitement du signal/CIPA4/TP/TP4/TP2425cipaCR.doc",
+    "ISEN/Traitement du signal/CIPA4/TP/TP4/DS2425cipaSACCADE.wav",
+    "ISEN/Traitement du signal/CIPA4/TP/TP4/DS2425cipa9.wav",
+    "ISEN/Traitement du signal/CIPA4/TP/TP4/DS2425cipa8.wav",
     "ISEN/Réseau/CIPA4/TP/TP M02 Conversion.md",
     "Protocol Data Units (PDU).md",
     "ISEN/English/CIPA4/Elevator pitch.md",

ISEN/Traitement du signal/CIPA4/TP/TP4/TP4_Experience1.m

@@ -0,0 +1,109 @@
+%% Experiment 1 : Baseband recovery from TP4cipaQ1.mat
+
+clc;
+clear;
+close all;
+
+%% 0) Load data
+
+data = load('TP4cipaQ1.mat');
+champs = fieldnames(data);
+sig = data.(champs{1});
+sig = sig(:);
+
+Fs = 96000;                 % Sampling frequency in Hz (given)
+Ts = 1/Fs;                  % Sampling period
+
+N = length(sig);              % Number of samples
+t = (0:N-1)*Ts;             % Time axis in seconds 
+
+%% i) Plot y(t) over the whole duration
+
+figure('Name','i) Full signal y(t)');
+plot(t, sig, 'g');
+xlabel('Time (s)');
+ylabel('Amplitude');
+title('Full signal y(t) sampled at 96 kHz');
+grid on;
+
+%% ii) Plot the first 10000 samples
+
+Nseg = min(10000, N);       % in case the file is shorter
+t_seg = t(1:Nseg);
+sig_seg = sig(1:Nseg);
+
+figure('Name','ii) First 10000 samples of y(t)');
+plot(t_seg, sig_seg, 'g');
+xlabel('Time (s)');
+ylabel('Amplitude');
+title('First 10000 samples of y(t)');
+grid on;
+
+%% iii) Amplitude spectrum of y(t) (frequencies in Hz)
+
+Y  = fft(sig);
+magY = abs(Y);              % magnitude spectrum
+
+halfN = floor(N/2) + 1;     % positive frequencies only
+magY_half = magY(1:halfN);
+f = (0:halfN-1) * (Fs/N);   % frequency axis in Hz
+
+figure('Name','iii) Amplitude spectrum of y(t)');
+plot(f, magY_half, 'g');
+xlabel('Frequency (Hz)');
+ylabel('|Y(f)|');
+title('Single-sided amplitude spectrum of y(t)');
+grid on;
+xlim([0 Fs/2]);
+
+% Choose cutoff frequency for baseband, e.g. 5 kHz (adapt after seeing spectrum)
+Fc = 5000;                       % cutoff in Hz
+wc = 2*pi*Fc/Fs;                 % digital radian cutoff
+
+r = 0.95;                        % pole radius (<1); closer to 1 => sharper LP
+
+% Poles at r*exp(±j*wc)  => denominator:
+a = [1, -2*r*cos(wc), r^2];
+
+% Simple low-pass numerator (gain 1 - r)
+b = (1 - r) * [1, 0, 0];        % two zeros at z=0, gives LP shape
+
+%% Apply the low-pass filter
+
+y_filt = filter(b, a, sig);
+
+%% iv) Amplitude spectrum of filtered signal (frequencies in kHz)
+
+YF  = fft(y_filt);
+magYF = abs(YF);
+
+magYF_half = magYF(1:halfN);
+f_kHz = f / 1000;               % convert frequency axis to kHz
+
+figure('Name','iv) Spectrum of filtered signal');
+plot(f_kHz, magYF_half, 'g');
+xlabel('Frequency (kHz)');
+ylabel('|Y_{filt}(f)|');
+title('Single-sided amplitude spectrum of filtered signal (baseband)');
+grid on;
+xlim([0 (Fs/2)/1000]);
+
+%% v) Filtered signal versus time (seconds)
+
+figure('Name','v) Filtered signal y\_filt(t)');
+plot(t, y_filt, 'g');
+xlabel('Time (s)');
+ylabel('Amplitude');
+title('Filtered signal in time domain');
+grid on;
+
+%% vi) First 10000 samples of filtered signal
+
+y_filt_seg = y_filt(1:Nseg);
+
+figure('Name','vi) First 10000 samples of filtered signal');
+plot(t_seg, y_filt_seg, 'g');
+xlabel('Time (s)');
+ylabel('Amplitude');
+title('First 10000 samples of filtered signal');
+grid on;