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

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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)
Transcribed Image Text: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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