QUESTION 2 Find the Fourier Transform of f(t) = a) g(t) = {o, (1-t², |t| ≤ 1 |t| > 1 = { And use the first Shift theorem to deduce the Fourier transform of the following functions Je-2jt (1-t²), |t| ≤ 1 |t| > 1 b) h(t) = {e−¹(1 − t²), -t(1-t²), |t|≤1 |t| > 1
QUESTION 2 Find the Fourier Transform of f(t) = a) g(t) = {o, (1-t², |t| ≤ 1 |t| > 1 = { And use the first Shift theorem to deduce the Fourier transform of the following functions Je-2jt (1-t²), |t| ≤ 1 |t| > 1 b) h(t) = {e−¹(1 − t²), -t(1-t²), |t|≤1 |t| > 1
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:QUESTION 2
Find the Fourier Transform of
a) g(t) =
b) h(t) =
f(t): =
And use the first Shift theorem to deduce the Fourier transform of the
following functions
(1-t², |t| ≤ 1
|t| > 1
= {1,-
{e-t (1
(e-¹ (1-t²),
(0,
{e=²jt (1-
p−²jt (1 − t²), |t|≤ 1
|t| > 1
|t| ≤ 1
|t| > 1
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