1. Find the Fourier series representation of f(x) = { x ² 0, -π< x≤ 0 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
Pls Answer #’s 1 to 3.
Transcribed Image Text:1.
Find the Fourier series representation of
f(x) = { x ²
0,
-π < x≤ 0
0<x< π
X,
**Box your answers for coefficients ao, an, bn, and f(x).
2.
3.
Find the 4-point discrete Fourier transform (DFT) of the
sequence x(n) = {1, 5, 3, 1}.
Find the Fourier Cosine transform of e-t²
Hint: Use the integral formula
√√π
So e-u² du =
2
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