(a) Figure shows two periodic sequences, x1[n] and x2[n], with period N = 7. Find a sequence y1[n] whose DFS is equal to the product of the DFS of x1[n] and the DFS of x2[n], i.e., Y1[k] = X1[k] X2[k].(b) Figure shows a periodic sequence x3[n] with period N = 7. Find a sequence y2[n] whose DFS is equal to the product of the DFS of x1[n] and the DFS of x3[n], i.e., Y2[k] = X1[k]X3[k].
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