Consider the following CT periodic signals x(t), y(t) and z(t) x(t) -5 -4 -3 (c) -5 -4 -3 -5 -4 -3 -1 -2 y(t) 1 AAKAA -1 1 2 1 z(t) 2 1 cients C for the CT signal z(t), where 2 2 3 3 4 3 z(t) = x (t) (1 + cos(πt)). 4 5 t 4 य t 5 (a) Find the Fourier series coefficients, ak, for the CT signal x(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation. 5 (b) Find the Fourier series coefficients, bk, for the CT signal y(t) = cos(πt). You must use the fundamental frequency of y(t) in constructing the Fourier series representation. t Using the results of parts (a) and (b), determine the Fourier series coeffi- You must use the fundamental frequency of z(t) in constructing the Fourier series representation.

Introductory Circuit Analysis (13th Edition)
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Problem 1
Consider the following CT periodic signals x(t), y(t) and z(t)
x(t)
-5 -4
(c)
-5 -4
-5
3
-4
-2
-3 -2
-3
y(t)
1
AAÄÄÄ.
-1
1
-2
-1
2
1
z(t)
2
1
cients ck for the CT signal z(t), where
2
2
3
3
4
3
z(t) = x (t) (1 + cos(πt)).
4
5 t
4
5
(a)
Find the Fourier series coefficients, ak, for the CT signal x(t), which is
a periodic rectangular wave. You must use the fundamental frequency of x(t) in
constructing the Fourier series representation.
t
(b)
Find the Fourier series coefficients, bk, for the CT signal y(t) = cos(πt).
You must use the fundamental frequency of y(t) in constructing the Fourier series
representation.
5 t
Using the results of parts (a) and (b), determine the Fourier series coeffi-
You must use the fundamental frequency of z(t) in constructing the Fourier series
representation.
Transcribed Image Text:Problem 1 Consider the following CT periodic signals x(t), y(t) and z(t) x(t) -5 -4 (c) -5 -4 -5 3 -4 -2 -3 -2 -3 y(t) 1 AAÄÄÄ. -1 1 -2 -1 2 1 z(t) 2 1 cients ck for the CT signal z(t), where 2 2 3 3 4 3 z(t) = x (t) (1 + cos(πt)). 4 5 t 4 5 (a) Find the Fourier series coefficients, ak, for the CT signal x(t), which is a periodic rectangular wave. You must use the fundamental frequency of x(t) in constructing the Fourier series representation. t (b) Find the Fourier series coefficients, bk, for the CT signal y(t) = cos(πt). You must use the fundamental frequency of y(t) in constructing the Fourier series representation. 5 t Using the results of parts (a) and (b), determine the Fourier series coeffi- You must use the fundamental frequency of z(t) in constructing the Fourier series representation.
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