具有gλ分布离散信源的信息熵及其应用  

Information Entropy of Discrete Information Source with gλ Distribution and Their Application

作　　者：张家录[1] 杨青[1] 

机构地区：[1]湘南学院数学系,湖南郴州423000

出　　处：《模糊系统与数学》2009年第1期52-58,共7页Fuzzy Systems and Mathematics

基　　金：湖南省自然科学基金资助项目;湖南省教育厅重点建设学科资助项目

摘　　要：给出了Sugeno测度空间上的gλ条件概率,离散信源的信息熵、条件熵、联合熵的定义,并讨论了它们的性质,证明了Sugeno测度空间上的Jensen不等式。给出并证明了具有gλ分布离散无记忆信源的渐近等同分割定理及其变长编码定理。In this paper we gave the the notions of gλ conditional probability, information entropy, conditional information entropy, joint information entropy of discrete information source with gλ distribution, and discussed their properties. On the basis of these, we proved the Jensen inequality and the gradually equal cut theorem, the inequality length coding theorem （the first Shannon theorem） on discrete immemorial information source with gλ distribution.

关 键 词：Sugeno测度 gλ分布 gλ条件概率 信息熵 变长编码定理 

分 类 号：O159[理学—数学] O236[理学—基础数学]