Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Fourier Transform
In mathematics, the Fourier transformation is a mathematical transformation that rotates responsibilities by using region or time into tasks depending on the local or temporal frequency, such as the rendering of a musical track in step with existing volu…
Question

Find the Fourier Transform of the signals

x1(t) = e-²tu(t) x2(t) = e-²(t-1)u(t-1) x3 (t) = e-2tu(t) · cos(5t)
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Transcribed Image Text:x1(t) = e-²tu(t) x2(t) = e-²(t-1)u(t-1) x3 (t) = e-2tu(t) · cos(5t)
Expert Solution
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Step 1: what is given and what to do:

Given:

i right parenthesis space x subscript 1 left parenthesis t right parenthesis equals e to the power of negative 2 t end exponent u left parenthesis t right parenthesis comma i i right parenthesis space x subscript 2 left parenthesis t right parenthesis equals e to the power of negative 2 open parentheses t minus 1 close parentheses end exponent u left parenthesis t minus 1 right parenthesis comma i i i right parenthesis space x subscript 3 left parenthesis t right parenthesis equals e to the power of negative 2 t end exponent u left parenthesis t right parenthesis. cos open parentheses 5 t close parentheses comma

To find:

 Fourier Transform of given signals. 

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