Causal Rate Distortion Function on Abstract Alphabets and Optimal Reconstruction Kernel

Details Causal Rate Distortion Function on Abstract Alphabets and Optimal Reconstruction Kernel Causal Rate Distortion Function on Abstract Alphabets and Optimal Reconstruction Kernel

2011-02-16

arxiv.org/abs/1102.3294v1

Computer Science

Information Theory

Scientific paper

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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