• DocumentCode
    1197909
  • Title

    A lower bound on the expected length of one-to-one codes

  • Author

    Alon, Noga ; Orlitsky, Alon

  • Author_Institution
    Dept. of Math., Tel Aviv Univ., Israel
  • Volume
    40
  • Issue
    5
  • fYear
    1994
  • fDate
    9/1/1994 12:00:00 AM
  • Firstpage
    1670
  • Lastpage
    1672
  • Abstract
    We show that the expected length of any one-to-one encoding of a discrete random variable X is at least H(X)-log(H(X)+1)-log e and that this bound is asymptotically achievable
  • Keywords
    codes; encoding; random processes; discrete random variable; expected code length; lower bound; one-to-one codes; one-to-one encoding; Block codes; Convolutional codes; Digital communication; Entropy; Erbium; Information theory; Iron; Notice of Violation; Random variables; Viterbi algorithm;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.333891
  • Filename
    333891