plot a rectified sine wave and its first seven fourier coefficients in matlab

main.m
% Rectified Sine Wave
t = 0:0.01:4*pi; % Time vector
x = abs(sin(t)); % Rectified sine wave

% Plotting the rectified sine wave
figure;
subplot(3,1,1);
plot(t,x);
title('Rectified Sine Wave');
xlabel('Time');
ylabel('Amplitude');

% Fourier Series Coefficients
N = 7; % Number of coefficients
a0 = 2/pi;
coefficients = zeros(1,N+1);
coefficients(1) = a0;
for n = 1:N
    an = 2/(pi*(4*n^2 - 1));
    bn = 0;
    coefficients(n+1) = an;
end

% Reconstructing the signal using Fourier coefficients
xt = zeros(size(t));
for n = 0:N
    xt = xt + coefficients(n+1) * cos((2*n+1)*t);
end

% Plotting the reconstructed signal
subplot(3,1,2);
plot(t,xt);
title('Reconstructed Signal using Fourier Coefficients');
xlabel('Time');
ylabel('Amplitude');

% Plotting the Fourier coefficients
subplot(3,1,3);
stem(0:N, coefficients);
title('Fourier Coefficients');
xlabel('Coefficient Index');
ylabel('Amplitude');
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