Page 211 - Schaum's Outline of Theory and Problems of Signals and Systems

200 THE z-TRANSFORM AND DISCRETE-TIME LTI SYSTEMS [CHAP. 4

Thus,

(b) Using partial-fraction expansion, we have

Thus,

Taking the inverse z-transform of H(z), we get

2
Then Y(z) = X(Z) H(z) = 121 > 1
(z - l)(z - ;)(z - i)

Again using partial-fraction expansion, we have

Thus,

Taking the inverse z-transformation of Y(z), we obtain