Derive the expression for the channel capacity of a binary erasure channel (BEC). (10) ( $\mathbf{2} \boldsymbol{\times} \mathbf{1 0} \boldsymbol{=} \mathbf{2 0}$ Marks)
Explanation
The problem requires us to derive the expression for the channel capacity of a binary erasure channel (BEC). The channel capacity is a measure of the maximum rate at which information can be transmitted through the channel. In the case of a BEC, the channel capacity is given by C = 1 - p, where p is the erasure probability. This is because the BEC can transmit information at a rate of 1 - p bits per channel use.
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