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Generalized Statistics Framework for Rate Distortion Theory

Published 21 Nov 2006 in cond-mat.stat-mech, cs.IT, and math.IT | (0611567v6)

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 $ 0 < q < 1 $ and $ q > 1 $. Alternating minimization numerical schemes to evaluate the nonextensive RD function, are derived. Numerical simulations demonstrate the efficacy of generalized statistics RD models.

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