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

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Joshua Brantley 2014-3-2

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评论： Rick Rosson 2014-3-2

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.

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Rick Rosson 2014-3-2

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编辑：Rick Rosson 2014-3-2

在 MATLAB Online 中打开

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));

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Joshua Brantley 2014-3-2

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 2014-3-2

Good luck.

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