if P(X) = [0.25 0.5 0.25] then determine following Entropies : H(X),H||H(X,Y) and mutual Information I(X, Y).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 42EQ
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3)
A discrete memory less source [X] transmits symbols x1, x2, and x3 through the channel
whose channel matrix is define as :
0.8
0.2
P(Y /X)= 0
0.75 0.25
0.3
0.7
Y
if P(X) = [0.25 0.5 0.25] then determine following Entropies : H(X),H|
|,H(X,Y)
X
%3D
and mutual Information I(X, Y).
Transcribed Image Text:3) A discrete memory less source [X] transmits symbols x1, x2, and x3 through the channel whose channel matrix is define as : 0.8 0.2 P(Y /X)= 0 0.75 0.25 0.3 0.7 Y if P(X) = [0.25 0.5 0.25] then determine following Entropies : H(X),H| |,H(X,Y) X %3D and mutual Information I(X, Y).
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