fourier series in matlab

To compute Fourier series of a given signal in Matlab, you can use the built-in function fft (Fast Fourier Transform) and create a user-defined function to compute the Fourier coefficients.

Here's an example code that demonstrates how to compute the Fourier series of a square wave signal:

main.m
% Define the period and number of harmonics
T = 1;
N = 25;

% Define the square wave signal
t = linspace(0, T, 1000);
x = square(2*pi*t/T);

% Compute the Fourier coefficients
c = zeros(1, N);
for n=1:N
    c(n) = trapz(t, x.*exp(-1i*2*pi*n*t/T))/T;
end

% Reconstruct the signal using Fourier series
x_recon = zeros(size(t));
for n=1:N
    x_recon = x_recon + c(n)*exp(1i*2*pi*n*t/T);
end

% Plot the signals
subplot(2,1,1)
plot(t, x)
title('Original Signal')

subplot(2,1,2)
plot(t, real(x_recon))
title('Reconstructed Signal')
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In this code, we define the period and number of harmonics (N) for the Fourier series. Then, we define a square wave signal with a period of T. We use the trapz function to compute the Fourier coefficients for the signal, and then reconstruct the signal using these coefficients. Finally, we plot the original and reconstructed signals for comparison.