• DocumentCode
    3275679
  • Title

    On the Poor-Verdu conjecture for the reliability function of channels with memory

  • Author

    Alajaji, Fady ; Chen, Po-Ning ; Rached, Ziad

  • Author_Institution
    Dept. of Math. & Stat., Queen´´s Univ., Kingston, Ont., Canada
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    124
  • Abstract
    In a previous work, Poor and Verdu (1995) established an upper bound to the reliability function of arbitrary single-user discrete-time channels with memory. They also conjectured that their bound is tight for all coding rates. In this work, we demonstrate via a counterexample involving memoryless binary erasure channels that the Poor-Verdu upper bound is, unfortunately, not tight at low rates. We also examine possible improvements to this bound
  • Keywords
    discrete time systems; memoryless systems; reliability; telecommunication channels; Poor-Verdu conjecture; Poor-Verdu upper bound; coding rates; memory channels; memoryless binary erasure channels; reliability function; single-user discrete-time channels; upper bound; Error probability; Information theory; Mathematics; Reliability theory; Statistics; Testing; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on
  • Conference_Location
    Washington, DC
  • Print_ISBN
    0-7803-7123-2
  • Type

    conf

  • DOI
    10.1109/ISIT.2001.935987
  • Filename
    935987