O Show that the Fourier transform of | 3 -2<1<2 0 otherwise f() = {0 6 sin 20 is given by F (@) =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 22EQ
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(a) Show that the Fourier transform of
[ 3 -2<t<2
|0 otherwise
f(t) =
6 sin 20
is given by F (») =
(b) Use the first shift theorem to find the Fourier transform of e- f(t).
(c) Verify the first shift theorem by obtaining the Fourier transform of e f(t) directly.
Transcribed Image Text:(a) Show that the Fourier transform of [ 3 -2<t<2 |0 otherwise f(t) = 6 sin 20 is given by F (») = (b) Use the first shift theorem to find the Fourier transform of e- f(t). (c) Verify the first shift theorem by obtaining the Fourier transform of e f(t) directly.
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