Consider a binary symmetric communication channel, whose input source is the alphabet X = {0,1} with probabilities (0.5,0.5}: whose output alphabet is Y = {0,1}; and whose channel matrix is %3D %3D 1- where e is the probability of transmission error. + 1. What is the entropy of the source, H(.X)? 2. What is the probability distribution of the outputs, p(Y), and the entropy of this out- put distribution, H(Y)?

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Consider a binary symmetric communication channel, whose input source is the
alphabet X {0,1} with probabilities (0.5,0.5}: whose output alphabet is Y = {0,1}:
and whose channel matrix is
1-€
1-e
where e is the probability of transmission error.
f 1. What is the entropy of the source, H(.X)?
2. What is the probability distribution of the outputs, p(Y), and the entropy of this out-
put distribution, H(Y)?
Transcribed Image Text:Consider a binary symmetric communication channel, whose input source is the alphabet X {0,1} with probabilities (0.5,0.5}: whose output alphabet is Y = {0,1}: and whose channel matrix is 1-€ 1-e where e is the probability of transmission error. f 1. What is the entropy of the source, H(.X)? 2. What is the probability distribution of the outputs, p(Y), and the entropy of this out- put distribution, H(Y)?
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