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April 2nd, 2009, 04:41 PM   #1
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Fourier Transform help

I am having a hard time doing Fourier transforms. I've read the textbook section and basically can't do it at all. If someone could post a solution to this problem with a reasonable number of steps and explanation I would be very appreciative.

(a) Find the negative and zero coefficients c0, c-1, c-2,... of the finite Fourier transform of F(t) = sin(t+1)/cos(t) by expressing the terms as a contour integral around the unit circle and evaluating that integral.

(b) Reason out what the positive coefficients c1, c2, ... must be, given that F(t) is a real function.
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