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Midterm
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Thomas PÉRIN 2023-04-20 10:51:49 +02:00
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midterm.m
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@ -18,3 +18,59 @@ clc
% Thomas Périn, thomas.perin@ecam.fr
% 20/04/2023
%%%%%%%%%%%%%%%%%%
signal = csvread('unknownsignal.csv');
fs = 300; %Sampling frequency
n = length(signal);
t = 0:1/fs:(n-1)/fs;
windowDuration = 1;
figure;
plot(t, signal);
title('Original Signal');
xlabel('time (s)');
ylabel('amplitude (a.u.)');
%%%% Windowing %%%%
rectangularWin = zeros(1, n);
for l_sample=1:windowDuration*fs
rectangularWin(l_sample) = 1;
end
% plot rectangular window
figure;
plot(t, rectangularWin);
title('Rectangular Window');
xlabel('time (s)');
ylabel('amplitude (a.u.)');
% apply the rectangular window
for l_sample=1:n
signal_rect(l_sample) = signal(l_sample) * rectangularWin(l_sample);
end
% plot rectangular signal
figure;
plot(t, signal_rect);
title('Signal with Rectangular Windowing');
xlabel('time (s)');
ylabel('amplitude (a.u.)');
%%%% Spectral Analisis %%%%
% compute DFT of input signal
y = fft(signal_rect, n);
% power of the DFT
power = abs(y).^2/n;
figure;
f = (0:n-1)*(fs/n); % frequency range
plot(f,power);
title('Frequency Plot');
xlabel('frequency (Hz)');
ylabel('amplitude (a.u.)');
idx = find(power(61:81) == max(power(61:81)));
f(idx+60)