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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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb29c8079-1767-4255-a596-f513635c59d0%2F26e32172-56ae-4d8e-9888-14983b9ac84a%2Fit0zqza_processed.png&w=3840&q=75)
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
![|1, т20,
h(x)
1o,
:=
0,
x < 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb29c8079-1767-4255-a596-f513635c59d0%2F26e32172-56ae-4d8e-9888-14983b9ac84a%2Fhxnmqh_processed.png&w=3840&q=75)
Transcribed Image Text:|1, т20,
h(x)
1o,
:=
0,
x < 0.
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