63 input signals. Much of the remainder of this book deals with a thorough exploitation of this fact in order to develop results and techniques for analyzing and synthesizing LTI systems. (a) Consider an LTI system whose response to the signal xi(t) in Figure P1.31(a) is the signal y1(t) illustrated in Figure P1.31(b). Determine and sketch carefully the response of the system to the input x2(t) depicted in Figure P1.31(c). (b) Determine and sketch the response of the system considered in part (a) to the input x3(t) shown in Figure P1.31(d). (t) Y1 (t)

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Chap. 1
Problems
rt input signals. Much of the remainder of this book deals with a thorough exploitation
of this fact in order to develop results and techniques for analyzing and synthesizZing
LTI systems.
(a) Consider an LTI system whose response to the signal x1(t) in Figure P1.31(a) is
the signal y1(t) illustrated in Figure P1.31(b). Determine and sketch carefully
the response of the system to the input x2(t) depicted in Figure P1.31(c).
(b) Determine and sketch the response of the system considered in part (a) to the
input x3(t) shown in Figure P1.31(d).
63
i bius
(1) 'x
GAGIT o
20inoquaq adh 1o Inavs molg
21
nodr lergia bbn ns ai 1
1.
0 1
(a)
(b)
X2 (t)
(1) Ex
21
1.
-1 0 1 2
2 3 4
Figure P1.31
(p)
ADVANCED PROBLEMS
1.32. Let x(t) be a continuous-time signal, and let
%3D
of the signal is cut in half. Similarly, y2(1) represents a slowed down version
re that the duration of the signal is doubled. Consider the followi
The signal y (1) represents a speeded up version of x(t) in the sense that the durati
Transcribed Image Text:-1 (0) Chap. 1 Problems rt input signals. Much of the remainder of this book deals with a thorough exploitation of this fact in order to develop results and techniques for analyzing and synthesizZing LTI systems. (a) Consider an LTI system whose response to the signal x1(t) in Figure P1.31(a) is the signal y1(t) illustrated in Figure P1.31(b). Determine and sketch carefully the response of the system to the input x2(t) depicted in Figure P1.31(c). (b) Determine and sketch the response of the system considered in part (a) to the input x3(t) shown in Figure P1.31(d). 63 i bius (1) 'x GAGIT o 20inoquaq adh 1o Inavs molg 21 nodr lergia bbn ns ai 1 1. 0 1 (a) (b) X2 (t) (1) Ex 21 1. -1 0 1 2 2 3 4 Figure P1.31 (p) ADVANCED PROBLEMS 1.32. Let x(t) be a continuous-time signal, and let %3D of the signal is cut in half. Similarly, y2(1) represents a slowed down version re that the duration of the signal is doubled. Consider the followi The signal y (1) represents a speeded up version of x(t) in the sense that the durati
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