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2.3.3. Properties of entropy

Оглавление

 – Positive: since 0 ≤ pi ≤ 1; (with the agreement

 – Continuous: because it is a sum of continuous functions “log” of each pi.

 – Symmetric: relative to all the variables pi.

 – Upper bounded: entropy has a maximum value: got for a uniform law:

 – Additive: let , then

[2.17]

Digital Communications 1

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