Causal Rate Distortion Function on Abstract Alphabets and Optimal Reconstruction Kernel
Information Theory
2011-02-17 v1 math.IT
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.
Keywords
Cite
@article{arxiv.1102.3294,
title = {Causal Rate Distortion Function on Abstract Alphabets and Optimal Reconstruction Kernel},
author = {Charalambos D. Charalambous and Photios A. Stavrou and Christos K. Kourtellaris},
journal= {arXiv preprint arXiv:1102.3294},
year = {2011}
}