Page 354 - Schaum's Outline of Theory and Problems of Signals and Systems

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

(b)
Fig. 6-30 Simulation of a differentiator.

(b) By Eq. (6.184) the frequency response Hd(R) of the discrete-time system is given by

Note that when R -C 1, we have
2 R R
Hd(R) = j-tan- = j- = jw
T, 2 Ts
if R = oT, (Fig. 6-31).

Fig. 631