Question: Consider the sequence x[n] Whose Fourier transform X(e j? ) is shown in Figure,? and? x d [n] = x s [Mn] = x[Mn] (a)

Consider the sequence x[n] Whose Fourier transform X(ej?) is shown in Figure,?

and?

xd[n] = xs[Mn] = x[Mn]

(a) Sketch Xs(ej?) and Xd(?j?) for each of the following cases:

(i) M = 3, ?H = ? / 2

(ii) M = 3, ?H = ? / 4

(b) What is the maximum value of ?H that will avoid aliasing when M = 3?

Sx(n]. n = Mk. k = 0. +1, 2,.... 0. (n] =

Sx(n]. n = Mk. k = 0. +1, 2,.... 0. (n] = otherwise. Part b | X(e) (1) Hm-

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