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a)For a LTI system gives an output y(t) = (e-2t – e-3¢)u(t) %3D in response to an input x(t) = e-2tu(t) find the impulse response of the system b)Find the Fourier transform of x(t) = Sinc2 (t)

a)For a LTI system gives an output y(t) = (e-2t – e-3¢)u(t) %3D in response to an input x(t) = e-2tu(t) find the impulse response of the system b)Find the Fourier transform of x(t) = Sinc2 (t)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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a)For a LTI system gives an output y(t) = (e-2t – e-3:)u(t) %3D in response to an input x(t) = e-2tu(t) find the impulse response of the system b)Find the Fourier transform of x(t) = Sinc? (t) (Hint: x(t) = y (t) then X(jw) =y(jw) + y(jw) * means convolution) c)Find the total energy of the signal x(t) = (t2+4) d)Given x(t) and h(t) as below find y(t) h(t)=x(-t) r (t) 0 1 -1
Transcribed Image Text:a)For a LTI system gives an output y(t) = (e-2t – e-3:)u(t) %3D in response to an input x(t) = e-2tu(t) find the impulse response of the system b)Find the Fourier transform of x(t) = Sinc? (t) (Hint: x(t) = y (t) then X(jw) =y(jw) + y(jw) * means convolution) c)Find the total energy of the signal x(t) = (t2+4) d)Given x(t) and h(t) as below find y(t) h(t)=x(-t) r (t) 0 1 -1
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