关于非齐次m阶马氏信源的渐近均分割性  

THE ASYMPTOTIC EQUIPARTITION PROPERTY FOR m ORDER NONHOMOGENEOUS MARKOV INFORMATION SOURCE

作　　者：杨卫国[1] 刘文[2] 

机构地区：[1]江苏大学理学院,镇江212013 [2]河北工业大学数学系,天津300130

出　　处：《应用数学学报》2002年第4期686-693,共8页Acta Mathematicae Applicatae Sinica

摘　　要：本文研究非齐次m阶马氏信源的渐近均分割性.首先我们得到关于此种信源m+1元函数的一类强极限定理.作为推论,得到关于任意非齐次m阶马氏信源状态和熵密度的几个极限定理,最后得到一类非齐次m阶马氏信源的渐近均分割性.In this paper, we study the asymptotic equipartition property (AEP) for m order nonhomogeneous Markov information source. We first give a limit theorem for the averages of the functions of m+1 variables of this information source. As corollaries, we get several limit theorems about frequency of occurrence of states and a limit theorem about the entropy density for m order nonhomgeneous Markov information source. Finally, we prove the AEP for a class of m order nonhomogeneous Markov information source.

关 键 词：非齐次m阶马氏信源 熵密度 渐近均分割性 信息论 

分 类 号：O236[理学—运筹学与控制论]