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fundamental property of linear time-invariant systems is that whenever the input of the system a sinusoid of a certain frequency the output will also be a sinusoid of the same frequency but CHAPTER 2 CONTINUOUS-TIME SYSTEMS with an amplitude and phase determined by the system. For the following systems let the input be x (t) = cos(t), -00

fundamental property of linear time-invariant systems is that whenever the input of the system a sinusoid of a certain frequency the output will also be a sinusoid of the same frequency but CHAPTER 2 CONTINUOUS-TIME SYSTEMS with an amplitude and phase determined by the system. For the following systems let the input be x (t) = cos(t), -00

Introductory Circuit Analysis (13th Edition)
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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2.6 A fundamental property of linear time-invariant systems is that whenever the input of the system is a sinusoid of a certain frequency the output will also be a sinusoid of the same frequency but 160 CHAPTER 2 CONTINUOUS-TIME SYSTEMS with an amplitude and phase determined by the system. For the following systems let the input be x (t) = cos(t), -0 <t < o∞, find the output y(t) and determine if the system is LTI: (a) -y(1) = [x(1)|², (c) y(t)=x(1)u(t), (d) y(1)=; f,-2×(t)dt. (b) y(t)=0.5[x(t)+x(t= 1)], Answers: (a) y(t) =0.5(1+cos(2t)); (c) system is not LTI.
Transcribed Image Text:2.6 A fundamental property of linear time-invariant systems is that whenever the input of the system is a sinusoid of a certain frequency the output will also be a sinusoid of the same frequency but 160 CHAPTER 2 CONTINUOUS-TIME SYSTEMS with an amplitude and phase determined by the system. For the following systems let the input be x (t) = cos(t), -0 <t < o∞, find the output y(t) and determine if the system is LTI: (a) -y(1) = [x(1)|², (c) y(t)=x(1)u(t), (d) y(1)=; f,-2×(t)dt. (b) y(t)=0.5[x(t)+x(t= 1)], Answers: (a) y(t) =0.5(1+cos(2t)); (c) system is not LTI.
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