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Extremal Properties of Rate-Distortion Functions

  • Rudolf AhlswedeEmail author
Chapter
Part of the Foundations in Signal Processing, Communications and Networking book series (SIGNAL, volume 15)

Abstract

We will consider the following problem formulated by Csiszár in 1988 : It is true that for fixed distortion level \(\Delta \) the rate-distortion function \(R(P,\Delta )\) has in the distribution P no local maxima with value different from the global maximum? We show that in general the answer is negative. However, the answer is positive for Hamming distortion measures. Moreover, R is Schur-concave.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.BielefeldGermany

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