I'm trying to generate a code that calculates the fourier series coefficients of a period.

such as: x(tc) = {1 if 0<=tc<5 and -0.5 if 5 <=tc<10}

I am given the fundamental period as 10 seconds.

The continuous time tc can be approximated as the discrete time, td, whose sampling frequency is 1kHz.

Answer 1

[Rick Rosson]

Fs = 1000;
dt = 1/Fs;

t = (0:dt:10-dt)';

N = size(t,1);

x = ones(N,1);
x(t>=5) = -0.5;

X = fftshift(fft(x))/N;

dF = Fs/N;
f = (-Fs/2:dF:Fs/2-dF)';

figure;
stem(f,abs(X));

[Joshua Brantley]

So what exactly is the plot telling me? I just learning about Fourier series the other day in class and I'm little confused.

[Rick Rosson]

Good luck.