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Information Entropy Problem

can anyone show me the proof how the logarithmic series on the left becomes the expression on the right hand side . kindly see the attached file..Thanks in advance for any help.

regards

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Information Entropy Problem

Re: Information Entropy Problem

Quote:

Originally Posted by

**CaptainBlack** There is no variable of summation, it cannot be

or

as they appear on the right as well as under the summation sign. You need to look at the meanings of the symbols not the formula to see why this is true.

You are interested in messages of length

in an alphabet with

symbols, there are

such messages.

Then as by assumption each message is equally likely:

So the entropy becomes:

....
CB

Thanks Guru!