Generalized Statistics Framework for Rate Distortion Theory
Statistical Mechanics
2009-02-10 v6 Information Theory
math.IT
Abstract
Variational principles for the rate distortion (RD) theory in lossy compression are formulated within the ambit of the generalized nonextensive statistics of Tsallis, for values of the nonextensivity parameter satisfying and . Alternating minimization numerical schemes to evaluate the nonextensive RD function, are derived. Numerical simulations demonstrate the efficacy of generalized statistics RD models.
Keywords
Cite
@article{arxiv.cond-mat/0611567,
title = {Generalized Statistics Framework for Rate Distortion Theory},
author = {R. C. Venkatesan and A. Plastino},
journal= {arXiv preprint arXiv:cond-mat/0611567},
year = {2009}
}
Comments
31 pages, 2 figures. Minor formatting and typographical changes