GATE EC 2017 Set 2 — Question 52
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Communications → Information Theory → Discrete Memoryless Channels
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Question
Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure.
The channel is
Correct answer
(C) useless
Solution
A channel is defined as useless if the output is independent of the input. From the transition probability diagram:
Since for all , the mutual information . Thus, the channel capacity is zero, and it is a useless channel.
Since for all , the mutual information . Thus, the channel capacity is zero, and it is a useless channel.
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