RATE DISTORTION THEORY FOR SOURCES WITH ABSTRACT ALPHABETS AND MEMORY

RATE DISTORTION THEORY FOR SOURCES WITH ABSTRACT ALPHABETS AND MEMORY
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DOI:
10.1016/s0019-9958(68)91123-6
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发表时间:
1968-01-01
影响因子:
--
通讯作者:
BERGER, T
BERGER, T
中科院分区:
其他
文献类型:
--
作者:
BERGER, T

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本文致力于香农率失真理论基本定理的抽象字母版本的表述和证明。对于满足介于遍历性和弱混合之间的限制性的某种规律性条件的离散和连续参数信息源,该定理的有效性成立。为了便于演示,在主要开发过程中仅考虑单字母保真度标准,然后指出各种概括。
This paper is devoted to the formulation and proof of an abstract alphabet version of the fundamental theorem of Shannon's rate distortion theory. The validity of the theorem is established for both discrete and continuous parameter information sources satisfying a certain regularity condition intermediate in restrictiveness between ergodicity and weak mixing. For ease of presentation, only single letter fidelity criteria are considered during the main development after which various generalizations are indicated.