Entropy rate calculations of algebraic measures

Details Entropy rate calculations of algebraic measures Entropy rate calculations of algebraic measures

2011-05-12

arxiv.org/abs/1105.2377v1

Computer Science

Information Theory

Scientific paper

Let $K = \{0,1,...,q-1\}$. We use a special class of translation invariant measures on $K^\mathbb{Z}$ called algebraic measures to study the entropy rate of a hidden Markov processes. Under some irreducibility assumptions of the Markov transition matrix we derive exact formulas for the entropy rate of a general $q$ state hidden Markov process derived from a Markov source corrupted by a specific noise model. We obtain upper bounds on the error when using an approximation to the formulas and numerically compute the entropy rates of two and three state hidden Markov models.

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