Let x(n), be two finite-duration signals. (a) Determine the range of their convolution...

Let x(n), be two finite-duration signals.

(a) Determine the range 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