Exercise 5.9A binary channel I always transmits 0 correctly but transmits 1 as 1 or 0 with probabilities P andQ = P, where 0 < P < 1. Write down the channel matrix and describe the maximum likelihoodrule. If the input probabilities of 0 and 1 are p and p, find Pre. To improve reliability, 0 and 1 areencoded as 000 and 111. Describe the resulting maximum likelihood rule; is it the same as (i)majority decoding, (ii) nearest neighbor decoding? Find the resulting rate and error-probability.What happens if instead we use the binary repetition code Rn, and let n → ∞ ?

A binary channel is a communication channel that can transmit two different symbols or bits,…

Answered: A binary channel I always transmits 0…

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A binary channel I always transmits 0 correctly but transmits 1 as 1 or 0 with probabilities P and Q = P, where 0

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Network transmission cabling

A network is a collection of devices connected by communication links. A device can be a computer or any instrument capable of sending and receiving data or information formed by other nodes toward the network. A channel that connects people or things is known as a network. It sends the data from one place to another. It is the basic concept of a computer, network, and data communications.

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Exercise 5.9
A binary channel I always transmits 0 correctly but transmits 1 as 1 or 0 with probabilities P and
Q = P, where 0 < P < 1. Write down the channel matrix and describe the maximum likelihood
rule. If the input probabilities of 0 and 1 are p and p, find Pre. To improve reliability, 0 and 1 are
encoded as 000 and 111. Describe the resulting maximum likelihood rule; is it the same as (i)
majority decoding, (ii) nearest neighbor decoding? Find the resulting rate and error-probability.
What happens if instead we use the binary repetition code Rn, and let n → ∞ ?

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