Problem 2 Plot the following 1D functions of t, compute their Fourier Transforms, then plot the Fourier Transforms (real and imaginary components).You may use a computer to make your plots if you prefer. (a) f(t) = e=t . eiwot t = [0, ∞]

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 2
Plot the following 1D functions of t, compute their Fourier Transforms,
then plot the Fourier Transforms (real and imaginary components).You may use a computer to
make your plots if you prefer.
(a) f(t)
= e-t. piwot
t = [0, ∞0]
SA t| < T/2
10 else
(b) f(t) =
t = [-00, 00);
Seiwot t| < 7/2
(c) f(t)
t = [-0, 00];
else
Transcribed Image Text:Problem 2 Plot the following 1D functions of t, compute their Fourier Transforms, then plot the Fourier Transforms (real and imaginary components).You may use a computer to make your plots if you prefer. (a) f(t) = e-t. piwot t = [0, ∞0] SA t| < T/2 10 else (b) f(t) = t = [-00, 00); Seiwot t| < 7/2 (c) f(t) t = [-0, 00]; else
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