Dyadic distribution
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A dyadic (or 2-adic) distribution is a specific type of discrete probability distribution that is of some theoretical importance in data compression.
Definition
A dyadic distribution is a probability distribution whose probability mass function is
f ( i ) = 2 − x i {\displaystyle f(i)=2^{-x_{i}}}
where x i {\displaystyle x_{i}} is some whole number.
It is possible to find a binary code defined on this distribution, which has an average code length that is equal to the entropy.
- Cover, T.M., Joy A. Thomas, J.A. (2006) Elements of information theory, Wiley. ISBN 0-471-24195-4