Causal Rate Distortion Function on Abstract Alphabets and Optimal Reconstruction Kernel

2011/02/16 by Charalambous, Charalambos D., Stavrou, Photios A., Kourtellaris, Christos K.
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1102.3294

Abstract

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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