Page 240 - Schaum's Outline of Theory and Problems of Signals and Systems
P. 240
CHAP. 51 FOURIER ANALYSIS OF TIME SIGNALS AND SYSTEMS 229
B. Nonideal Frequency-Selective Filters:
As an example of a simple continuous-time causal frequency-selective filter, we
consider the RC filter shown in Fig. 5-6(a). The output y(t) and the input x(t) are related
by (Prob. 1.32)
Taking the Fourier transforms of both sides of the above equation, the frequency response
H(w) of the RC filter is given by
where w0 = 1/RC. Thus, the amplitude response (H(w)l and phase response OJw) are
given by
(b)
Fig. 5-6 RC filter and its frequency response.
