Question Consider the signal below x (t) 31 24 -12 -10 -8 6. 10 12 a. Write the equation of the signal above and define its Time period T. b. What is the frequency w, for the given signal? c. Sketch the derivative of the given signal, let's call d. Write the equation for g(t). e. Let's refer the Fourier coefficient of x(t) as ak and the Fourier Coefficients of g(t) as bk. f. What are the Fourier Coefficients of g(t). g. Can you find a property from your book that will relate ak and bu? g(t) i.e. g(t)=d/dt x(t). Foo

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the signal below x (t)
3-
2
-12
-10
-8
-6
-2
2
4
8
10
12
a. Write the equation of the signal above and define its Time period T.
b. What is the frequency w, for the given signal?
c. Sketch the derivative of the given signal, let's call it g(t) i.e. g(t)=d/dt x(t).
d. Write the equation for g(t).
e. Let's refer the Fourier coefficient of x(t) as ak and the Fourier Coefficients of g(t) as bk.
f. What are the Fourier Coefficients of g(t).
g. Can you find a property from your book that will relate a, and bi?
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Transcribed Image Text:Question Consider the signal below x (t) 3- 2 -12 -10 -8 -6 -2 2 4 8 10 12 a. Write the equation of the signal above and define its Time period T. b. What is the frequency w, for the given signal? c. Sketch the derivative of the given signal, let's call it g(t) i.e. g(t)=d/dt x(t). d. Write the equation for g(t). e. Let's refer the Fourier coefficient of x(t) as ak and the Fourier Coefficients of g(t) as bk. f. What are the Fourier Coefficients of g(t). g. Can you find a property from your book that will relate a, and bi? Activato Windows
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