Calculate all entropies if the joint probability matrix is:

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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A transmitter has an alphabet of four letters [x1, x2, x3, x4] and the receiver has an alphabet of
three letters. Calculate all entropies if the joint probability matrix is:
[0.3
0.05
0.25
P(X, Y) =
0.
0.05
0.15-
0.15
0.05
(Check answer: H(X) — 1.96, Н(ҮX) -0.53, H(Х, Ү) -2.49, Н(Y) —1.49, H(X/Ү) -1.0)
Transcribed Image Text:A transmitter has an alphabet of four letters [x1, x2, x3, x4] and the receiver has an alphabet of three letters. Calculate all entropies if the joint probability matrix is: [0.3 0.05 0.25 P(X, Y) = 0. 0.05 0.15- 0.15 0.05 (Check answer: H(X) — 1.96, Н(ҮX) -0.53, H(Х, Ү) -2.49, Н(Y) —1.49, H(X/Ү) -1.0)
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