Compute the entropy of the fourth bit of transmission

Reference no: EM131319312

Let X be an ensemble with PX = {0.1, 0.2, 0.3, 0.4}. The ensemble is encoded using the symbol code C = {0001, 001, 01, 1}. Consider the code word corresponding to x ∈ X^N, where N is large.

(a) Compute the entropy of the fourth bit of transmission.

(b) Compute the conditional entropy of the fourth bit given the third bit.

(d) Estimate the conditional entropy of the hundredth bit given the ninety-ninth bit.

Reference no: EM131319312

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