3.6. Consider three continuous-time periodic signals whose Fourier series repres= tions are as follows: 100 \k X1(t) = k 0 100 x2(t) = cos(km)eik, k=-100 ebonaoqe ts100 x3(1) = j sin (km leik. 2 k=-100 Use Fourier series properties to help answer the following questions: (a) Which of the three signals is/are real valued? (b) Which of the three signals is/are even?

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3.6. Consider three continuous-time periodic signals whose Fourier series representa-
pro-
tions are as follows:
representa-
ging
100
x1(t) = >
eik.
30
2T
k 0
100
2T
riod
x2(t) = >, cos(kT)ejk',
M borne
k= -100
%3D
boniao
aitsi100
kT
x3(1) = E jsin lelk
50
2
k=-100
Use Fourier series properties to help answer the following questions:
(a) Which of the three signals is/are real valued?
(b) Which of the three signals is/are even?
od
3.7. Suppose the periodic signal x(t) has fundamental period T and Fourier coefficients
ak. In a variety of situations, it is easier to calculate the Fourier series coefficients
Transcribed Image Text:3.6. Consider three continuous-time periodic signals whose Fourier series representa- pro- tions are as follows: representa- ging 100 x1(t) = > eik. 30 2T k 0 100 2T riod x2(t) = >, cos(kT)ejk', M borne k= -100 %3D boniao aitsi100 kT x3(1) = E jsin lelk 50 2 k=-100 Use Fourier series properties to help answer the following questions: (a) Which of the three signals is/are real valued? (b) Which of the three signals is/are even? od 3.7. Suppose the periodic signal x(t) has fundamental period T and Fourier coefficients ak. In a variety of situations, it is easier to calculate the Fourier series coefficients
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