• DocumentCode
    2623127
  • Title

    Exact analysis of the Lempel-Ziv algorithm for unifilar Markov source

  • Author

    Kawabata, Tsutomu

  • Author_Institution
    Univ. of Electro-Communication, Tokyo
  • fYear
    1994
  • fDate
    27 Jun-1 Jul 1994
  • Firstpage
    13
  • Abstract
    We find an exact formula of the expected length of the i-th parsed segment on a state dependent parsing tree which results from the state dependent Lempel-Ziv incremental parsing algorithm applied to a unifilar Markov source, Our expectation appears in the formulation of the rate of a variable-to-variable length Lempel-Ziv scheme. We argue its asymptotic behavior and prove a universal source coding theorem
  • Keywords
    Markov processes; grammars; source coding; trees (mathematics); Lempel-Ziv incremental parsing algorithm; asymptotic behavior; exact formula; state dependent parsing tree; unifilar Markov source; universal source coding theorem; Algorithm design and analysis; Binary codes; Indium tin oxide; Light rail systems; Source coding;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
  • Conference_Location
    Trondheim
  • Print_ISBN
    0-7803-2015-8
  • Type

    conf

  • DOI
    10.1109/ISIT.1994.394958
  • Filename
    394958