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Assume there is an information source which only generate symbols 0 and 1. No matter what...

Assume there is an information source which only generate symbols 0 and 1. No matter what is the symbol that the information source transmits before, the probability of the symbols 0 and 1 is p(0)=0.4 and p(1)=0.6, then

(a) Is the information source stationary?

(b) Try to calculate H(X1X2),H(X3|X1X2) and its entropy rate.

(c) Try to calculate H(X1X2X3X4) and write down all the sequence that the information source X4= X1X2X3X4 may transmit.

Math   Statistics-And-Probability   
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