I had a Fourier series f(t) = {0 -pi< t <= 0 {t 0 <=t < pi and found out that a0

Question

I had a Fourier series

f(t) = {0 -pi< t <= 0

{t 0 <=t < pi

and found out that

a0 = pi/2

an = -2

bn = 2t

thus, f(t) = pi/4 + {sum from n=1 to infinity}(-2cos(nt) + 2tsin(n)t)

Now I have to plot the resulting series for n = 1,3,5,7,9,11 for t = -4 to 4

I'm supposed to plot seperately each n, with the original plot superimposed on the same plot.

This has to be done in matlab, but I don't know how to do it.

The problem is that I cannot use the symbols function in Matlab, as my version doesn't have the symolic math toolbox. I read that I have to do it using for loops, but I don't know how. Can someone please show me how to do this in matlab? Thank you!!

Explanation / Answer

refr http://faculty.olin.edu/bstorey/Notes/Fourier.pdf

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