Fourier Series Coefficients Ck

Question

Matthew Benjamin 2013-3-7

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I am not at all skilled in Matlab and my teacher just expects us to know how to code. I am asking for a lot of help here. I have a problem with a graph of periodic repition and N=10 (N is the period) with length L=5. The amplitude of the graph is 1. So when 0<=n<L x(n) equals 1, otherwise it is 0. How would I calculate the fourier series coefficeints and plot the absolute value of Ck^2 (when k=0:N-1)?

PLEASE HELP I'M DESPERATE!

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Walter Roberson 2013-3-8

What is Ck in your notation ?

Matthew Benjamin 2013-3-8

Ck are the Fourier coefficients

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Answer 1

Rick Rosson 2013-3-8

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编辑：Rick Rosson 2013-3-8

在 MATLAB Online 中打开

Here is a start:

   N = 10;
   L = 5;
   n = 0:N-1
   x = ...
   C = ...
   figure;
   stem(n,x);
   figure;
   stem(n,abs(C));

For help on Fourier:

   >> doc fft
   >> doc fftshift

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Answer 2

Walter Roberson 2013-3-8

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Are you talking about a square wave with duty cycle 1/2 and amplitude 1? Or are you talking about a single square pulse? If you are talking about a single square pulse, it is a difference of step functions.

Are you going for analytic calculation or for numeric calculation?

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Matthew Benjamin 2013-3-8

It has 5 separate pulses. I need a numerical calculation.

Walter Roberson 2013-3-8

Your description is not compatible with it having 5 pulses. You wrote "when 0<=n<L x(n) equals 1, otherwise it is 0" which describes a single pulse over [0,L) with L=5

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