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3. Using Fourier transform properties, for each of the following input x(t) and impulse response h(t), compute Y (jw) for the output signal y(t) of an LTI system whose impulse response is h(t). (a) x(t) = te−2tu(t) and h(t) = e−³tu(t). (b) x(t) = e¯¹u(t) and h(t) = te−²tu(t). (c) x(t) = cos(t) and h(t) = e−²tu(t).

3. Using Fourier transform properties, for each of the following input x(t) and impulse response h(t), compute Y (jw) for the output signal y(t) of an LTI system whose impulse response is h(t). (a) x(t) = te−2tu(t) and h(t) = e−³tu(t). (b) x(t) = e¯¹u(t) and h(t) = te−²tu(t). (c) x(t) = cos(t) and h(t) = e−²tu(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
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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Try to use eigenfunctions to solve please

3. Using Fourier transform properties, for each of the following input x(t) and impulse response h(t), compute Y (jw) for the output signal y(t) of an LTI system whose impulse response is h(t). (a) x(t) = te−2tu(t) and h(t) = e−³tu(t). (b) x(t) = e¯¹u(t) and h(t) = te−²tu(t). (c) x(t) = cos(t) and h(t) = e−²tu(t).
Transcribed Image Text:3. Using Fourier transform properties, for each of the following input x(t) and impulse response h(t), compute Y (jw) for the output signal y(t) of an LTI system whose impulse response is h(t). (a) x(t) = te−2tu(t) and h(t) = e−³tu(t). (b) x(t) = e¯¹u(t) and h(t) = te−²tu(t). (c) x(t) = cos(t) and h(t) = e−²tu(t).
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