| 任意信源的一类渐近均匀分割性定理的研究 |
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| 引用本文： | 王康康,徐维艳.任意信源的一类渐近均匀分割性定理的研究[J].江苏科技大学学报(社会科学版),2009,23(1):79-81. |
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| 作者姓名： | 王康康 徐维艳 |
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| 作者单位： | 江苏科技大学,数理学院,江苏,镇江,212003
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| 摘 要： | 研究了任意信源在可列状态空间下的Shannon—McMillan定理．采用构造相容分布与非负上鞅的方法结合一些重要不等式，研究任意随机变量序列相对熵密度的强极限定理，即渐近均匀分割性．得出了若干任意信源、m阶马氏信源、无记忆信源的渐进均匀分割性定理，并将已有的关于离散信源的结果进行了推广．
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| 关 键 词： | 渐近均匀分割性 相容分布 任意信源 m阶马氏信源 相对熵密度 |
A class of asymptotic equipartition property theorems for arbitrary discrete information source |
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| Wang Kangkang,Xu Weiyan.A class of asymptotic equipartition property theorems for arbitrary discrete information source[J].Journal of Jiangsu University of Science and Technology:Natural Science Edition,2009,23(1):79-81. |
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| Authors: | Wang Kangkang Xu Weiyan |
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| Institution: | School of Mathematics and Physics;Jiangsu University of Science and Technology;Zhenjiang Jiangsu 212003;China |
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| Abstract: | A class of Shannon-McMillan theorems for the arbitrary information source was studied.The strong limit theorems for relative entropy densities of the sequence of arbitrary random variables were discussed by constructing the compatible distribution,nonnegative superior martingale,and the important inequalities.As corollaries,some asymptotic equipartition property theorems for arbitrary information source,m-order Markov information source,and non-memory information source were obtained.Moreover,some obtained ... |
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| Keywords: | asymptotic equipartition property compatible distribution arbitrary information source m-order Markov information source relative entropy density |
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