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Problem 2. In a certain (hypothetical) communication system we find the received signal at the input to a signal detector is r = ±A+n where +A and -A occur with equal probability and the noise variable n has probability density function p(n) = { n+1, 1-n, 1≤ n ≤ 0, 0

Problem 2. In a certain (hypothetical) communication system we find the received signal at the input to a signal detector is r = ±A+n where +A and -A occur with equal probability and the noise variable n has probability density function p(n) = { n+1, 1-n, 1≤ n ≤ 0, 0

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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Problem 2. In a certain (hypothetical) communication system we find the received signal at the input to a signal detector is r = ±A+n where +A and -A occur with equal probability and the noise variable n has probability density function p(n) = { n+1, 1-n, 1≤ n ≤ 0, 0<n<1. We wish to decide on whether +A was sent or -A was sent. a. Determine the smallest value of A that yields a probability of decision error less than or equal to 10-3. b. What is the smallest value of A that would guarantee error free com- munication, i.e., the probability of error is 0.
Transcribed Image Text:Problem 2. In a certain (hypothetical) communication system we find the received signal at the input to a signal detector is r = ±A+n where +A and -A occur with equal probability and the noise variable n has probability density function p(n) = { n+1, 1-n, 1≤ n ≤ 0, 0<n<1. We wish to decide on whether +A was sent or -A was sent. a. Determine the smallest value of A that yields a probability of decision error less than or equal to 10-3. b. What is the smallest value of A that would guarantee error free com- munication, i.e., the probability of error is 0.
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