Evaluation of distortion rate functions for low distortions

Abstract

A general parametric form of the R(D) function is obtained. To each distortion function belonging to a broad class and every source distribution there corresponds a D <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">*</sup> > 0 such that R(D) can be explicitly evaluated if D ∈ [0, D <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">*</sup> ).