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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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QUESTION 8

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Question 8 Consider the binary channel shown in the following figure. It is used to model a certain property of data storage systems. Both the input and the output of the channel take binary values. When the input bit is '0', the output bit is always '0'. When the input bit is '1', the output bit is '0' with a probability and is '1' with a probability 1-X. We model the input X as a Bernoulli random variable with probability Pr (X = 0) = 1 - p and Pr (X= 1) = p. 0 X ہے 1-λ 0 Y 1 1 Assume λ = 0.5. What is the value of p that achieves the capacity of this channel?
Transcribed Image Text:Question 8 Consider the binary channel shown in the following figure. It is used to model a certain property of data storage systems. Both the input and the output of the channel take binary values. When the input bit is '0', the output bit is always '0'. When the input bit is '1', the output bit is '0' with a probability and is '1' with a probability 1-X. We model the input X as a Bernoulli random variable with probability Pr (X = 0) = 1 - p and Pr (X= 1) = p. 0 X ہے 1-λ 0 Y 1 1 Assume λ = 0.5. What is the value of p that achieves the capacity of this channel?
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