二阶非齐次马氏信源关于广义随机选择系统的一类Shannon-McMillan定理

A class of Shannon-Mcmillan theorems for second-order nonhomogeneous Markov information source on generalized random selection systems

文中通过构造相容分布和非负上鞅的方法,研究了二阶非齐次马氏信源关于广义赌博系统的一类广义Shannon-Mcmillan定理.并由此得出已有的非齐次马氏信源、无记忆信源的一类Shannon-Mcmillan定理,推广了前人的结果.

In this paper,a class of generalized Shannon-McMillan theorems for the second-order nonhomogeneous Markov information source on the generalized gambling system are discussed by constructing the consistent distribution and nonnegative supermartingales.As corollaries,some Shannon-Mcmillan theorems for the nonhomogeneous Markov information source,non-momery information source are obtained.