1. Calculate Fourier transform of the following functions (1) f₁(t) = (1; -1≤t≤1 (0; otherwise (ejant; -1≤t≤ 1 0; otherwise (2) f₂(t) = (3) f(t) = f₁(t) * f₁(t)
1. Calculate Fourier transform of the following functions (1) f₁(t) = (1; -1≤t≤1 (0; otherwise (ejant; -1≤t≤ 1 0; otherwise (2) f₂(t) = (3) f(t) = f₁(t) * f₁(t)
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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Please show solution on how to get the Fourier Transform. Thank you
Transcribed Image Text:1. Calculate Fourier transform of the following functions
(1) f₁ (t)
(2) f₂ (t)
=
=
1;−1≤t≤1
(0; otherwise
ej4πt ; − 1 ≤ t ≤1
{e'n
0; otherwise
(3) ƒ3(t) = f₁(t) * f₁(t)
Expert Solution
Step 1
Definition of Fourier transform of a function :
.
We will use this definition to solve the given problem.
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