ImageShack - Hosting :: questionyw0.jpg I was asked to find the fourier transform of x(n). Could someone explain whats happening in this answer? Thanks
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Originally Posted by hammer ImageShack - Hosting :: questionyw0.jpg I was asked to find the fourier transform of x(n). Could someone explain whats happening in this answer? Thanks I presume the problem is in simplifying ? Define . Then So Now, note that the last two factors are independent of m: Note also that the summation is the summation of an infinite geometric series. The sum of any geometric series is Thus So finally we get: -Dan
Originally Posted by hammer ImageShack - Hosting :: questionyw0.jpg I was asked to find the fourier transform of x(n). Could someone explain whats happening in this answer? Thanks This is a Discrete Fourier Transform, (on the second line) is the transform of by definition of the DFT (and that for , and otherwise). The rest is just simplification using the sum of a geometric series formula. ZB
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