Data at a bit rate R, must be transmitted using either binary NRZ polar signaling or 8-ary PAM NRZ polar signaling. (a) By what factor will the symbol rate be reduced in the 8-PAM case? (b) By what factor will bandwidth required from the lowpass channel be reduced in the 8-PAM case? (c) Assuming the minimum spacing between pulse levels must be the same in both cases, by what factor will the average power be increased in the 8-PAM case? [Hint: take the pulse amplitudes to be A in the binary case, and ±4, +34, +54, +74, and recall that scaling pulse amplitude by a factor k scales the pulse energy by a factor k². Assume that the data is random, so that all 8 levels are equally likely, and that the same pulse shape is used in both cases.]
Data at a bit rate R, must be transmitted using either binary NRZ polar signaling or 8-ary PAM NRZ polar signaling. (a) By what factor will the symbol rate be reduced in the 8-PAM case? (b) By what factor will bandwidth required from the lowpass channel be reduced in the 8-PAM case? (c) Assuming the minimum spacing between pulse levels must be the same in both cases, by what factor will the average power be increased in the 8-PAM case? [Hint: take the pulse amplitudes to be A in the binary case, and ±4, +34, +54, +74, and recall that scaling pulse amplitude by a factor k scales the pulse energy by a factor k². Assume that the data is random, so that all 8 levels are equally likely, and that the same pulse shape is used in both cases.]
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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Question
![11-1) similar to Lathi & Ding, Prob. P.6.7-5
Data at a bit rate R, must be transmitted using either binary NRZ polar signaling or 8-ary PAM NRZ polar signaling.
(a) By what factor will the symbol rate be reduced in the 8-PAM case?
(b) By what factor will bandwidth required from the lowpass channel be reduced in the 8-PAM case?
(c) Assuming the minimum spacing between pulse levels must be the same in both cases, by what factor will the
average power be increased in the 8-PAM case? [Hint: take the pulse amplitudes to be ±A in the binary case, and ±4,
+34, +54, +7A, and recall that scaling pulse amplitude by a factor k scales the pulse energy by a factor k². Assume
that the data is random, so that all 8 levels are equally likely, and that the same pulse shape is used in both cases.]
Warning: Solutions to the textbook problem that are posted online are mostly wrong. Work it out for yourself.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F410c339a-bf03-4b88-9cec-65ce570877e0%2F3ce99431-26b9-4f11-849f-273645917e21%2Fbme7u8ts_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11-1) similar to Lathi & Ding, Prob. P.6.7-5
Data at a bit rate R, must be transmitted using either binary NRZ polar signaling or 8-ary PAM NRZ polar signaling.
(a) By what factor will the symbol rate be reduced in the 8-PAM case?
(b) By what factor will bandwidth required from the lowpass channel be reduced in the 8-PAM case?
(c) Assuming the minimum spacing between pulse levels must be the same in both cases, by what factor will the
average power be increased in the 8-PAM case? [Hint: take the pulse amplitudes to be ±A in the binary case, and ±4,
+34, +54, +7A, and recall that scaling pulse amplitude by a factor k scales the pulse energy by a factor k². Assume
that the data is random, so that all 8 levels are equally likely, and that the same pulse shape is used in both cases.]
Warning: Solutions to the textbook problem that are posted online are mostly wrong. Work it out for yourself.
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