Question: Let x 1 [n] be a sequence obtained by expanding the sequence x[n] = (1/4) n u[n] by a factor of 4; i.e., Find and

Let x1[n] be a sequence obtained by expanding the sequence x[n] = (1/4)n u[n] by a factor of 4; i.e.,

x /4]. 0. otherwise. k = 0, 14, 18..... xi[n} =

Find and sketch a six-point sequence q[n] whose six-point DFT Q[k] satisfies the two constraints.

?Q[0] = X1(1),

Q[3] = X1(? 1),

?where X1(z) represents the z-transform of X1[n].

x /4]. 0. otherwise. k = 0, 14, 18..... xi[n} =

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