Page 104 - Schaum's Outline of Theory and Problems of Signals and Systems

CHAP. 21 LINEAR TIME-INVARIANT SYSTEMS

(a) From Eq. (2.35) we have

Osksn
Since u[k]u[n - k] =
otherwise
we have

Using Eq. (1.90), we obtain

m
x[k]h[n -k] = f aku[k]a-'"-*'u[-(n - k)]
y[n] =
k= -m k- -m

For n 10, we have
Osk
u[k]u[k - n J =
otherwise
Thus, using Eq. (1.911, we have

For n r 0, we have

nsk
u[k]u[k - n] =
otherwise
Thus, using Eq. (1.921, we have