摘要
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.
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, non-momery information source are obtained.
出处
《江苏科技大学学报(自然科学版)》
CAS
2012年第4期406-410,共5页
Journal of Jiangsu University of Science and Technology:Natural Science Edition
基金
国家自然科学基金资助项目(11072107)