5. Consider the following systems H : y(t) = ª__x(7)dr G: y(t) = x(2t) where the input is r(t) and the output is y(t). (a) What is H-1, the inverse of H? What is G-¹ ? (b) Consider the system in Figure 1. Find the inverse F-¹ and draw it in block diagram form in terms of H-¹ and G-¹. x(t) = x(t) H F G Figure 1: system w(1) w(t)

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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5. Consider the following systems
rt
H: y(t) = x(7)dr
L
G: y(t) = x(2t)
where the input is r(t) and the output is y(t).
(a) What is H-¹, the inverse of H? What is G-¹ ?
(b) Consider the system in Figure 1. Find the inverse F-1 and draw it in block diagram form in
terms of H-¹ and G-¹.
x(t)
= x(t)
H
H
F
G
Figure 1: system
w(t)
w(t)
Transcribed Image Text:5. Consider the following systems rt H: y(t) = x(7)dr L G: y(t) = x(2t) where the input is r(t) and the output is y(t). (a) What is H-¹, the inverse of H? What is G-¹ ? (b) Consider the system in Figure 1. Find the inverse F-1 and draw it in block diagram form in terms of H-¹ and G-¹. x(t) = x(t) H H F G Figure 1: system w(t) w(t)
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