2. Given the periodic square function shown as x(t) -6 2 (a) Declare the function as a Scilab function and then plot it for -5
2. Given the periodic square function shown as x(t) -6 2 (a) Declare the function as a Scilab function and then plot it for -5
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:2. Given the periodic square function shown as
x(t)
-6
2
(a) Declare the function as a Scilab function and then plot it for -5<t≤5.
(b) Determine the Fourier series of x(t) with 3 harmonic components.
(c) Determine the Fourier series of x(t) in magnitude-phase form with 3 harmonic components.
(d) Plot the graph of x(t) as reconstructed from its Fourier series with 3 harmonic components.
(e) Plot the graph of x(t) as reconstructed from its Fourier series with 10 harmonic components.
(f) Plot the graph of x(t) as reconstructed from its Fourier series with 20 harmonic components.
(g) Do the graphs exhibit Gibb's phenomenon?
Gibb's phenomenon is the presence of increasing fluctuations at the vicinity of the jump
discontinuity of a function.
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