Page 237 - Schaum's Outline of Theory and Problems of Signals and Systems

FOURIER ANALYSIS OF TIME SIGNALS AND SYSTEMS [CHAP. 5

Cl Id 'I +Id I

(b)
Fig. 5-4 Distortionless transmission.

signal has a different waveform than the input signal because of different delays in passing
through the system for different frequency components of the input signal. This form of
distortion is called phase distortion.

C. LTI Systems Characterized by Differential Equations:
As discussed in Sec. 2.5, many continuous-time LTI systems of practical interest are
described by linear constant-coefficient differential equations of the form

with M IN. Taking the Fourier transform of both sides of Eq. (5.83) and using the
linearity property (5.49) and the time-differentiation property (5.551, we have