Question: Consider the complex sequence (a) Find the Fourier transform X(e j? ) of x[n]. (b) Find the N-point DFT X[k] of the finite-length sequence x[n].

Consider the complex sequence

eion". 0sns N-1. (n] = 0. otherwise.

(a) Find the Fourier transform X(ej?) of x[n].

(b) Find the N-point DFT X[k] of the finite-length sequence x[n].

(c) Find the DFT of x[n] for case ?0 = 2?k0/N, where k0 is an integer.

eion". 0sns N-1. (n] = 0. otherwise.

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