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The Asymptotic Equipartition Property for a Nonhomogeneous Markov Information Source

Published online by Cambridge University Press:  27 July 2009

Weiguo Yang
Weiguo Yang
Affiliation:
Hebei Mining and Civil Engineering Institute, Handan 056038, China
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Abstract

In this paper, we study the asymptotic equipartition property (AEP) for a nonhomogeneous Markov information source. We first give a limit theorem for the averages of the functions of two variables of this information source by using the convergence theorem for the martingale difference sequence. As corollaries, we get several limit theorems and a limit theorem of the relative entropy density, which hold for any nonhomogeneous Markov information source. Then, we get a class of strong laws of large numbers for nonhomogeneous Markov information sources. Finally, we prove the AEP for a class of nonhomogeneous Markov information sources.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 12 , Issue 4 , October 1998 , pp. 509 - 518
Copyright
Copyright © Cambridge University Press 1998

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