Use the definition or existing results given by the textbook to compute the following Fourier transforms. Show details of your calculations: (a) F{e-al=}, a > 0.
Use the definition or existing results given by the textbook to compute the following Fourier transforms. Show details of your calculations: (a) F{e-al=}, a > 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use the definition or existing results given by the textbook to compute the following
Fourier transforms. Show details of your calculations:
(a) F{e-ul«}, «
a > 0.
|피, if la < 1,
(b) F{f(x)}, where f(x) =
0,
otherwise.
(c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page
235 of the textbook.
(d) F{e*-a=*}.
5ix-ar

Transcribed Image Text:|1, т20,
h(x)
1o,
:=
0,
x < 0.
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