Page 342 - Schaum's Outline of Theory and Problems of Signals and Systems

CHAP. 61 FOURIER ANALYSIS OF DISCRETE-TIME SIGNALS AND SYSTEMS

R
and 9(~)= -- IRI I
T
2
which are sketched in Fig. 6-19.

Fig. 6-19

(dl Let R, ,, be the 3-dB bandwidth of the system. Then by definition (Sec. 5.7)

we obtain
1 'lT
and i13dB
=
We see that the system is a discrete-time wideband low-pass finite impulse response
(FIR) filter (Sec. 2.90.

6.35. Consider the discrete-time LTI system shown in Fig. 6-20. where a is a constant and

Fig. 6-20