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Discrete Fourier Transform

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Homework Statement


Find the discrete Fourier transform X[k] = DFTn {x[n]} of the following
periodic sequences x[n] = x[n - N] with period N:

(a) For n = 0 . . .N - 1 we have x[n] =[tex]\delta[/tex][n].
(b) For n = 0 . . .N - 1 we have x[n] = [tex]\mu[/tex][n] -[tex]\mu[/tex][n - K] with K < N.
(c) x[n] = cos( (2*pi*M*n)/N ).

Homework Equations


We dont have a book for my digital processing class and i missed couple of classes so i have no idea how to start these problems. A little hint or a link to a good tutorial/source would be greatly appreciated.


The Attempt at a Solution

 
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