Rate distortion theory for sources with abstract alphabets and memory
نویسندگان
چکیده
منابع مشابه
Rate Distortion Theory for Sources with Abstract Alphabets and Memory
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 sin...
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متن کاملCausal Rate Distortion Function on Abstract Alphabets: Optimal Reconstruction and Properties
A causal rate distortion function with a general fidelity criterion is formulated on abstract alphabets and a coding theorem is derived. Existence of the minimizing kernel is shown using the topology of weak convergence of probability measures. The optimal reconstruction kernel is derived, which is causal, and certain properties of the causal rate distortion function are presented.
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A Causal rate distortion function with a general fidelity criterion is formulated on abstract alphabets and the optimal reconstruction kernel is derived, which consists of a product of causal kernels. In the process, general abstract spaces are introduced to show existence of the minimizing kernel using weak∗-convergence. Certain properties of the causal rate distortion function are presented.
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ژورنال
عنوان ژورنال: Information and Control
سال: 1968
ISSN: 0019-9958
DOI: 10.1016/s0019-9958(68)91123-6