• DocumentCode
    942064
  • Title

    Rate distortion theory with generalized information measures via convex programming duality

  • Author

    Ben-Tal, Aharon ; Teboulle, Marc

  • Volume
    32
  • Issue
    5
  • fYear
    1986
  • fDate
    9/1/1986 12:00:00 AM
  • Firstpage
    630
  • Lastpage
    641
  • Abstract
    A new generalized average mutual information measure (GAMIM) is introduced in terms of Csiszar \\phi -divergence, and the associated rate distortion function R_{\\phi} is studied. The main objective is to derive in a unified way a dual representation of R_{\\phi} , then to use it to generalize classical results (corresponding to \\phi(t) = t \\log t ) in rate distortion theory and extend results associated with other concepts of GAMIM. Our development uses the methodology of convex programming duality extensively.
  • Keywords
    Mathematical programming; Source coding; Channel capacity; Distortion measurement; Entropy; Functional programming; Helium; Industrial engineering; Mutual information; Rate distortion theory; Rate-distortion; Source coding;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1986.1057223
  • Filename
    1057223