A binary erasure channel skips a transmission if the received symbol is indeterminate with probability p and is characterized by the channel matrix [P(Y]X)] =| p 1-p| р 1- with {0,1} as the input alphabet and {0, e, 1} as the output alphabet. 1. Draw the corresponding channel diagram. 2. If the source produces equally likely outputs, find the probabilities associated with the channel outputs for p = 0.2 and the corresponding average input/output mutual information. 3. Determine the channel capacity and the input distribution which achieves it.

Database System Concepts
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A binary erasure channel skips a transmission if the received symbol is indeterminate
with probabilityp and is characterized by the channel matrix
— р р
[P(Y|X)]
%3D
p.
with {0,1} as the input alphabet and {0, e, 1} as the output alphabet.
1. Draw the corresponding channel diagram.
2. If the source produces equally likely outputs, find the probabilities associated with
the channel outputs for p
= 0.2 and the corresponding average input/output
mutual information.
3. Determine the channel capacity and the input distribution which achieves it.
Transcribed Image Text:A binary erasure channel skips a transmission if the received symbol is indeterminate with probabilityp and is characterized by the channel matrix — р р [P(Y|X)] %3D p. with {0,1} as the input alphabet and {0, e, 1} as the output alphabet. 1. Draw the corresponding channel diagram. 2. If the source produces equally likely outputs, find the probabilities associated with the channel outputs for p = 0.2 and the corresponding average input/output mutual information. 3. Determine the channel capacity and the input distribution which achieves it.
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