GATE EC 2017 Set 2 — Question 21
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Communications → Information Theory → Binary Symmetric Channel
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Question
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability ?
Correct answer
(C) [figure]
Solution
The capacity of a Binary Symmetric Channel (BSC) with crossover probability is given by:where is the binary entropy function.
- At , .
- At , (since we can perfectly predict the input by flipping the output bits).
- At , (the output is completely independent of the input).
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