For the system of Figure P10.3, suppose that x[n] and h[n] are identical and as shown in...

For the system of Figure P10.3, suppose that x[n] and h[n] are identical and as shown in Figure P10.8(c).

(a) Find the output y[n] for all n, by sketching h[k] and x[n — k].

(b) Consider the expanded convolution sum of (10.15). Write out this expansion for each value of n in part (a), hut include only those terms that are nonzero. Evaluate this expansion to verify the results of part (a).

(c) Verify the results using MATLAB.