• DocumentCode
    983815
  • Title

    Extremal properties of rate distortion functions

  • Author

    Ahlswede, Rudolf

  • Author_Institution
    Fakultat fuer Math., Bielefeld Univ., West Germany
  • Volume
    36
  • Issue
    1
  • fYear
    1990
  • fDate
    1/1/1990 12:00:00 AM
  • Firstpage
    166
  • Lastpage
    171
  • 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
  • Keywords
    information theory; Hamming distortion measures; Schur-concavity; extremal properties; information theory; rate distortion functions; Distortion measurement; Extraterrestrial measurements; Mutual information; Probability distribution; Rate distortion theory; Rate-distortion; Time sharing computer systems; Tin;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.50384
  • Filename
    50384
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=983815