A discrete source S emits one of six symbols once in every millisecond with probabilities $\mathrm{P}(\mathrm{A})=0.5, \mathrm{P}(\mathrm{B})=0.03125, \mathrm{P}(\mathrm{C})=0.125, \mathrm{P}(\mathrm{D})=0.0625$, $P(E)=0.25, P(F)=0.03125$. Calculate the entropy $H(S)$ and information rate(R).(10)

Explanation

The question requires the calculation of the entropy of a discrete source and the information rate. The entropy is a measure of the uncertainty or randomness of the source, and the information rate is the rate at which information is transmitted by the source.

A discrete source S emits one of six symbols once in every millisecond with probabilities $\mathrm{P}(\mathrm{A})=0.5, \mathrm{P}(\mathrm{B})=0.03125, \mathrm{P}(\mathrm{C})=0.125, \mathrm{P}(\mathrm{D})=0.0625$, $P(E)=0.25, P(F)=0.03125$. Calculate the entropy $H(S)$ and information rate(R).(10)

Explanation

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