• DocumentCode
    2291918
  • Title

    A probabilistic approach to some asymptotics in source coding

  • Author

    Savari, Serap A.

  • Author_Institution
    Bell Labs., Lucent Technol., Murray Hill, NJ, USA
  • fYear
    1997
  • fDate
    11-13 Jun 1997
  • Firstpage
    97
  • Lastpage
    106
  • Abstract
    Renewal theory is a powerful tool in the analysis of source codes. In this paper, we use renewal theory to obtain some asymptotic properties of finite-state noiseless channels. We discuss the relationship between these results and earlier uses of renewal theory to analyze the Lempel-Ziv codes and the Tunstall code. As a new application of our results, we provide a simple derivation of the asymptotic performance of the prefix condition code that minimizes the average transmission cost when the source symbols are equiprobable
  • Keywords
    probability; source coding; telecommunication channels; Lempel-Ziv codes; Tunstall code; asymptotic properties; average transmission cost minimisation; equiprobable source symbols; finite-state noiseless channels; prefix condition code; probabilistic approach; renewal theory; source coding; Channel capacity; Costs; Eigenvalues and eigenfunctions; Information theory; Magnetic devices; Magnetic noise; Source coding; Telegraphy;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Compression and Complexity of Sequences 1997. Proceedings
  • Conference_Location
    Salerno
  • Print_ISBN
    0-8186-8132-2
  • Type

    conf

  • DOI
    10.1109/SEQUEN.1997.666906
  • Filename
    666906