Consider the cascade of two LTI systems shown below, with input x(t) and output y(t). If the impulse response of each of these LTI systems is h(t) = rect(t), then what is the output y(t) when the input is ä(t) = 8(t) ? (a) (b) t+1 if -1 < t ≤0 1-t if 0

Consider the cascade of two LTI systems shown below, with input x(t) and output y(t). If the impulse response of each of these LTI systems is h(t) = rect(t), then what is the output y(t) when the input is ä(t) = 8(t) ? (a) (b) t+1 if -1 < t ≤0 1-t if 0

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

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Consider the cascade of two LTI systems shown below, with input x(t) and output y(t). If the
impulse response of each of these LTI systems is h(t) = rect(t), then what is the output y(t) when
the input is r(t) = 8(t)?
(a)
(b)
t+1 if -1 < t ≤0
1-t
if 0 < t <1
0
else
t
2-t
0
if 0 < t < 1
if 1 < t < 2
else
x(t)
2(t+1)
(c) 2(1-t)
0
if −1<t≤0
if 0<t≤1
else
LTI
→h(t)
LTI
h(t)
→ y(t)

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