Problem 3: f (x) =2 - x2, 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 23EQ
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Determine the Fourier Transform of the following function.
-2 < x < 0,
0 <x < 2;
Problem 1:
f(x) =
2x - .
f(x+4) = f(x)
Jr+L.
Problem 2: f (x) = +L
L.
ーL<x<0,
0 < x < L;
f(x +2L) = f(x)
Problem 3: f (x) =2 - x²,
0 <x < 2;
sine series, period 4
0 <x <T,
x,
Problem 4: f (x) =
cosine series, period 47
%3D
0,
π<x<2元:
Transcribed Image Text:Determine the Fourier Transform of the following function. -2 < x < 0, 0 <x < 2; Problem 1: f(x) = 2x - . f(x+4) = f(x) Jr+L. Problem 2: f (x) = +L L. ーL<x<0, 0 < x < L; f(x +2L) = f(x) Problem 3: f (x) =2 - x², 0 <x < 2; sine series, period 4 0 <x <T, x, Problem 4: f (x) = cosine series, period 47 %3D 0, π<x<2元:
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