The periodic signal x(t) = 3 cos(6t) + 2 cos(15t) has the followingexponential Fourier series coefficients:1. 5, |n| = 61, |n| = 15a)Dn0, otherwise3, |n|2, |n| = 5b)Dn0, otherwise1. 5, |n| = 21, n| = 5c)Dn0, otherwised) Dn= 1. 5e16n + 1, 5e¬j6n+ ejl5n+e-j15n3, |n| = 62, |n|e)Dn150, otherwise

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The periodic signal x(t) = 3 cos(6t)+2 cos(15t) has the following exponential Fourier series coefficients: (1 5. Inl 6.

Introductory Circuit Analysis (13th Edition)

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ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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Concept explainers

Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.

Question

The periodic signal x(t) = 3 cos(6t) + 2 cos(15t) has the following
exponential Fourier series coefficients:
1. 5, |n| = 6
1, |n| = 15
a)
Dn
0, otherwise
3, |n|
2, |n| = 5
b)
Dn
0, otherwise
1. 5, |n| = 2
1, n| = 5
c)
Dn
0, otherwise
d) Dn
= 1. 5e16n + 1, 5e¬j6n
+ ejl5n
+e-j15n
3, |n| = 6
2, |n|
e)
Dn
15
0, otherwise

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