Are the systems whose input-output relationship is given as below linear? Is it memoryless? Is it causal? Does it change over time? Find transfer function and impulse responses if available, explain why not. (u(t) indicates the input of the system, y(t) the output. 8(t) is a unit impulse, 1(t) is a unit step function.) a. y(t) = u(t – 2) + u(2 – t) %3D
Are the systems whose input-output relationship is given as below linear? Is it memoryless? Is it causal? Does it change over time? Find transfer function and impulse responses if available, explain why not. (u(t) indicates the input of the system, y(t) the output. 8(t) is a unit impulse, 1(t) is a unit step function.) a. y(t) = u(t – 2) + u(2 – t) %3D
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Subject : "Lineer Algebra"(ElectricalEngineering)
Books about the question:
"Chi Tsong Chen, Linear System Theory and Design"
“John S. Bay, Fundamentals of Linear State Space Systems"
NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom-
ialRoots,Etc.), ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut-
ions,ExplainThemWithTheirReasons.
Are the systems whose input-output relationship is given as below linear?
Is it memoryless?
Is it causal?
Does it change over time?
Find transfer function and impulse responses if available, explain why not.
(u(t) indicates the input of the system, y(t) the output. 8(t) is a unit impulse, 1(t) is a unit step
function.)
а. у(t) %3D
b. y(t) = cos(3t) u(t)
и(t - 2) + u(2 - t)
= Sje-t+wu(w)dw
d. y(t) = S u(w)dw
e. у(t) %3D 1(t)
f. y(t) = 0
с. у(t) %3D
-2t
I|
%3D
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