Determine the range l1 le n le l2 of their convolution in

Question

Let x(n). N1 ≤ n ≤ N2 and h(n), M1 ≤ n ≤ M2 be two finite-duration signals

(a) Determine the range L1 ≤ n ≤ L2 of their convolution, in terms of N1, N2, M1 and M2.

(b) Determine the limits of the cases of partial overlap from the left, full overlap, and partial overlap from the right. For convenience, assume that h(n) has shorter duration than x(n).

(c) Illustrate the validity of your results by computing the convolution of the signals