Consider the signal s(t), shown below, which is periodic with period T, = 4. %3D s(t) 2 + t 2 -2 -1 -1

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Problem 4
Consider the signal s(t), shown below, which is periodic with period T, = 4.
s(t)
2
+ t
2
-2
-1
I)
Determine the complex Fourier series coefficients {Sx} of s(t), simplifying your
answer as much as possible. What is the value of S,?
II)
If P; is the power of s(t) and P, is the power of its first harmonic, determine the
ratio P1/Ps-
II)
Let x(t) be also periodic with period T, = 4. If its Fourier series coefficients are
given by
Xo
and
(Vk # 0) Xx = (jkN.)-1Sx
%3D
%3D
2
Determine and sketch its time-domain form.
Transcribed Image Text:Problem 4 Consider the signal s(t), shown below, which is periodic with period T, = 4. s(t) 2 + t 2 -2 -1 I) Determine the complex Fourier series coefficients {Sx} of s(t), simplifying your answer as much as possible. What is the value of S,? II) If P; is the power of s(t) and P, is the power of its first harmonic, determine the ratio P1/Ps- II) Let x(t) be also periodic with period T, = 4. If its Fourier series coefficients are given by Xo and (Vk # 0) Xx = (jkN.)-1Sx %3D %3D 2 Determine and sketch its time-domain form.
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