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GEL 3003 A14 TP1 solutions .pdf



Original filename: GEL-3003-A14_TP1_solutions.pdf
Title: A14_TP1_solutions.pptx
Author: André Zaccarin

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GEL-3003
TP #1 A2014

p. 1

TP #1, Q1
% Nfft: nombre de points de la DFT (fonction fft)
Nfft = 200000;
deltaf = 2/Nfft
xx = [-1:deltaf:1-deltaf];
yy = 20*log10(abs(fftshift(fft(data,Nfft))));
figure, plot(xx,yy);
figure, plot(xx,yy);
xlabel(' \omega \times \pi'); ylabel('dB');
title('|X(\omega)|^2');

freqz(RIF_1,1);
freqz(RII_b,RII_a);
figure, zplane(RIF_1,1);
figure, zplane(RII_b,RII_a);
p. 2

TFD du signal audio (module^2)

p. 3

Résolution en fréquence vs précision
data = data1 + (0.1*cos(0.55*pi*(1:40100)))';
% Le signal a 40100 points; la résolution en
fréquence est déterminée par le nombre de points du
signal et la fenêtre qui est utilisée
Résolution = demi-largeur du lobe principal
= 2π/40100 = 5×10-5 π pour la fenêtre rectangulaire
% A) TFD (fft) calculée sur 200000 points; il y a
donc un point de la DFT à chaque 2π/200000 = 10-5 π
% B) TFD (fft) calculée sur 50000 points; il y a
donc un point de la DFT à chaque 2π/50000 = 4×10-5 π

p. 4

L = 40100, fen. Rectang, Nfft = 200000

p. 5

L = 40100, fen. Rectang, Nfft = 200000

p. 6

L = 40100, fen. Rectang, Nfft = 50000

p. 7

TP #1, Q1
figure, zplane(RIF_1,1);
freqz(RIF_1,1);
figure, zplane(RII_b,RII_a);
freqz(RII_b,RII_a);

p. 8

Filtre RII

p. 9


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