Extremal properties of rate distortion functions

  • Authors:
  • R. Ahlswede

  • Affiliations:
  • Fakultat fuer Math., Bielefeld Univ.

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

An attempt is made to determine whether it is true that for a fixed distortion level Δ the rate-distortion function R( P,Δ) has in the distribution P no local maxima with values different from the global maximum. It is shown that, in general, the answer is negative. However, the answer is positive for Hamming distortion measures. Moreover their R is Schur-concave