Question 1 Consider the following Fourier series: 8 s(t) = (-2) 1 (sin (2tnft)) n=1 where, n is an odd integer. Assume f = 5 kHz. %3D Answer the following questions: a. Draw s(t) in the frequency domain by considering only the first four harmonics and ignoring the rest. b. What are the spectrum and bandwidth of the signal you drew in part (a)? c. Assume that s(t) is used to represent 10 bits, with a bit duration of 20 us. If s(t) is sent over a cable having a cutoff frequency of 20 kHz and acting as a low-pass filter, how many harmonics will the destination system receive?

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Question 1
Consider the following Fourier series:
8
1
s(t) = (-)2
(sin (2nnft))
n2
n=1
where, n is an odd integer. Assume f = 5 kHz.
Answer the following questions:
a. Draw s(t) in the frequency domain by considering only the first four harmonics and
ignoring the rest.
b. What are the spectrum and bandwidth of the signal you drew in part (a)?
c. Assume that s(t) is used to represent 10 bits, with a bit duration of 20 us. If s(t) is sent
over a cable having a cutoff frequency of 20 kHz and acting as a low-pass filter, how many
harmonics will the destination system receive?
Transcribed Image Text:Question 1 Consider the following Fourier series: 8 1 s(t) = (-)2 (sin (2nnft)) n2 n=1 where, n is an odd integer. Assume f = 5 kHz. Answer the following questions: a. Draw s(t) in the frequency domain by considering only the first four harmonics and ignoring the rest. b. What are the spectrum and bandwidth of the signal you drew in part (a)? c. Assume that s(t) is used to represent 10 bits, with a bit duration of 20 us. If s(t) is sent over a cable having a cutoff frequency of 20 kHz and acting as a low-pass filter, how many harmonics will the destination system receive?
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