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11-2) 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 16-PAM case, compared to binary? (b) By what factor will the noise power at the decision circuit be reduced in the 16-PAM case? (c) By what factor will the noise amplitude at the decision circuit be reduced in the 16-PAM case? (d) To obtain the same symbol error rate for 16-PAM as for binary, how should the minimum level spacing for 16-PAM compare to binary? (e) If the 16-PAM level spacing is adjusted according to part (d) above, by what factor will the average signal power be increased in the 16-PAM case, compared to binary?

11-2) 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 16-PAM case, compared to binary? (b) By what factor will the noise power at the decision circuit be reduced in the 16-PAM case? (c) By what factor will the noise amplitude at the decision circuit be reduced in the 16-PAM case? (d) To obtain the same symbol error rate for 16-PAM as for binary, how should the minimum level spacing for 16-PAM compare to binary? (e) If the 16-PAM level spacing is adjusted according to part (d) above, by what factor will the average signal power be increased in the 16-PAM case, compared to binary?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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11-2) 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 16-PAM case, compared to binary? (b) By what factor will the noise power at the decision circuit be reduced in the 16-PAM case? (c) By what factor will the noise amplitude at the decision circuit be reduced in the 16-PAM case? (d) To obtain the same symbol error rate for 16-PAM as for binary, how should the minimum level spacing for 16-PAM compare to binary? (e) If the 16-PAM level spacing is adjusted according to part (d) above, by what factor will the average signal power be increased in the 16-PAM case, compared to binary?
Transcribed Image Text:11-2) 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 16-PAM case, compared to binary? (b) By what factor will the noise power at the decision circuit be reduced in the 16-PAM case? (c) By what factor will the noise amplitude at the decision circuit be reduced in the 16-PAM case? (d) To obtain the same symbol error rate for 16-PAM as for binary, how should the minimum level spacing for 16-PAM compare to binary? (e) If the 16-PAM level spacing is adjusted according to part (d) above, by what factor will the average signal power be increased in the 16-PAM case, compared to binary?
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