Using the shift or stretch theorem find the Fourier transform of [1 for -3 ≤1≤-1 b(t) == 0. otherwise S₁ given the transform of unit square pulse function a(t) = = o. b(k)= = for -1 ≤t≤1 otherwise is a(k)= 2 sin(k)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Using the shift or stretch theorem find the Fourier transform of
1
for 3 ≤1 ≤-1
b(t) =
= {
0.
otherwise
given the transform of unit square pulse function a(t):
=
b(k): =
for 1 ≤t≤1
0. otherwise
is a(k)=
2 sin(k)
Transcribed Image Text:Using the shift or stretch theorem find the Fourier transform of 1 for 3 ≤1 ≤-1 b(t) = = { 0. otherwise given the transform of unit square pulse function a(t): = b(k): = for 1 ≤t≤1 0. otherwise is a(k)= 2 sin(k)
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