任意非齐次可列马氏信源关于广义随机选择系统的广义Shannon-McMillan定理

摘要

In this paper, a class of generalized Shannon-McMillan theorems for the 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 and non-Momery information source are obtained.%文中通过构造相容分布和非负上鞅的方法,研究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.