Now consider that white noise (i.e., noise with a PSD that is constant with frequency) is introduced in the channel of the system described in the previous problem. An ideal low pass filter is used at the receiver input to reduce the noise as much as possible, while transmitting the desired signal. (a) By what factor should the cutoff frequency of the noise reduction filter be reduced in the 8-PAM case, compared to binary? (b) By what factor will the noise power at the decision circuit be reduced in the 8-PAM case? (c) By what factor will the noise amplitude at the decision circuit be reduced in the 8-PAM case? (d) To obtain the same symbol error rate for 8-PAM as for binary, how should the minimum level spacing for 8-PAM compare to binary? (e) If the 8-PAM level spacing is adjusted according to part (d) above, by what factor will the average signal power be increased in the 8-PAM case, compared to binary?

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Now consider that white noise (i.e., noise with a PSD that is constant with frequency) is introduced in the channel of
the system described in the previous problem. An ideal low pass filter is used at the receiver input to reduce the noise
as much as possible, while transmitting the desired signal.
(a) By what factor should the cutoff frequency of the noise reduction filter be reduced in the 8-PAM case, compared to
binary?
(b) By what factor will the noise power at the decision circuit be reduced in the 8-PAM case?
(c) By what factor will the noise amplitude at the decision circuit be reduced in the 8-PAM case?
(d) To obtain the same symbol error rate for 8-PAM as for binary, how should the minimum level spacing for 8-PAM
compare to binary?
(e) If the 8-PAM level spacing is adjusted according to part (d) above, by what factor will the average signal power be
increased in the 8-PAM case, compared to binary?
Transcribed Image Text:Now consider that white noise (i.e., noise with a PSD that is constant with frequency) is introduced in the channel of the system described in the previous problem. An ideal low pass filter is used at the receiver input to reduce the noise as much as possible, while transmitting the desired signal. (a) By what factor should the cutoff frequency of the noise reduction filter be reduced in the 8-PAM case, compared to binary? (b) By what factor will the noise power at the decision circuit be reduced in the 8-PAM case? (c) By what factor will the noise amplitude at the decision circuit be reduced in the 8-PAM case? (d) To obtain the same symbol error rate for 8-PAM as for binary, how should the minimum level spacing for 8-PAM compare to binary? (e) If the 8-PAM level spacing is adjusted according to part (d) above, by what factor will the average signal power be increased in the 8-PAM case, compared to binary?
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