12.4-2 For the ternary channel in Fig. P12.4-2, Px (x1) P, Px(x2) = Px (x3) = Q. (Note: P+2Q = 1.) (a) Determine H(x), H(x|y), H(y), and I(x; y). (b) Show that the channel capacity Cs is given by Cs = log where B = 2-plogp+(1-p) log(1-p)] Figure P12.4-2 Input Output X2 y2 1-p 1-p X3

12.4-2 For the ternary channel in Fig. P12.4-2, Px (x1) P, Px(x2) = Px (x3) = Q. (Note: P+2Q = 1.) (a) Determine H(x), H(x|y), H(y), and I(x; y). (b) Show that the channel capacity Cs is given by Cs = log where B = 2-plogp+(1-p) log(1-p)] Figure P12.4-2 Input Output X2 y2 1-p 1-p X3

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

Problem 1PE

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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.

Question

12.4-2 For the ternary channel in Fig. P12.4-2, Px(*1)=P, Px(x2) = Px (x3) = Q. (Note: P+2Q =1.)
(a) Determine H(x), H(x|y), H(y), and I(x; y).
(b) Show that the channel capacity Cs is given by
B+2'
Cs = log
where B = 2-lplogp+(1-p)log(1-p)]
Figure P12.4-2
Input
Output
X2
y2
1-p
1-P
X3
y3

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