Page 220 - Schaum's Outline of Theory and Problems of Signals and Systems

CHAP. 41 THE Z-TRANSFORM AND DISCRETE-TIME LTI SYSTEMS

4.54. Using the method of partial-fraction expansion, redo Prob. 4.53.
Ans. (a) x[n] = (1 - 294-n - 11
(6) x[n] = -u[n] - 2"u[-n - 11
(c) ~[n] (- 1 + 2")u[n]
=

4.55. Consider the system shown in Fig. 4-9. Find the system function H(z) and its impulse response
hbl.
1
Am. H(z) = , -, , h[nl=
1 - 72

u
Fig. 4-9

4.56. Consider the system shown in Fig. 4-10.

(a) Find the system function H(z).
(b) Find the difference equation relating the output y[n] and input x[n].

Fig. 4-10