A continuaus - time, linear ard time invanant system withinput xlf) ond output ylt) satisties the input/output relatian-d.aye)+ 2aa) Find the frequency response Hgw) of the system.b) For a=0.5, plot the magnitude of the frequenayresponse Hljw) . Comment on the frequency selectivebehauiour. Is it low pass, high pass ,etc.c) For what values of a is the system stable ?Eyle) +ze) =xlt)Hint: Obtain ht) and then guess same interualsof a for which Jincelde is infiaity or finire.For a stale system it must be finite.o*y Gw)+ 2ajw y(jw) + Gwiylgw) =x(jw)

Given: A LTI system with input x(t) and output y(t) and satisfying the relation…

Answered: A continuaus - time, linear and time…

A continuaus - time, linear and time invarnant system with ingut xl) and output ylt) setisties the inputloutput relation - a yle)+ 2a Eyle) + d.

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

A continuaus - time, linear ard time invanant system with
input xlf) ond output ylt) satisties the input/output relatian-
d.
aye)+ 2a
a) Find the frequency response Hgw) of the system.
b) For a=0.5, plot the magnitude of the frequenay
response Hljw) . Comment on the frequency selective
behauiour. Is it low pass, high pass ,etc.
c) For what values of a is the system stable ?
Eyle) +ze) =xlt)
Hint: Obtain ht) and then guess same interuals
of a for which Jincelde is infiaity or finire.
For a stale system it must be finite.
o*y Gw)+ 2ajw y(jw) + Gwiylgw) =x(jw)

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