4. Given the periodic sawtooth function shown as x(t) -4 12/21/01/05 -0,3 -0.1 0,3 -t,sec (a) Declare the function as a Scilab function and then plot it for -1≤0≤1. (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?
4. Given the periodic sawtooth function shown as x(t) -4 12/21/01/05 -0,3 -0.1 0,3 -t,sec (a) Declare the function as a Scilab function and then plot it for -1≤0≤1. (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?
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:4. Given the periodic sawtooth function shown as
x(t)
-4
12/21/01/05
-0,3
-0.1
0,3
-t,sec
(a) Declare the function as a Scilab function and then plot it for -1≤0≤1.
(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?
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