• DocumentCode
    1229966
  • Title

    On computing undetected error probabilities on the Gilbert channel

  • Author

    Wong, Brenden ; Leung, Cyril

  • Author_Institution
    Dept. of Electr. Eng., British Columbia Univ., Vancouver, BC, Canada
  • Volume
    43
  • Issue
    11
  • fYear
    1995
  • fDate
    11/1/1995 12:00:00 AM
  • Firstpage
    2657
  • Lastpage
    2661
  • Abstract
    Two methods for computing the probability of undetected error on the Gilbert (1960) channel are examined. First, using a method proposed by Kittel (1978), we study some standard cyclic redundancy codes and compare the results with those on the binary symmetric channel. Then we consider a general method of approximate code evaluation, proposed by Elliott, which involves P(m, n), the probability of m errors in a block of length n bits. A nonrecursive technique for computing P(m, n) on the Gilbert channel is described
  • Keywords
    coding errors; cyclic codes; error statistics; probability; telecommunication channels; Gilbert channel; approximate code evaluation; binary symmetric channel; cyclic redundancy codes; error detecting code; nonrecursive technique; undetected error probabilities; Block codes; Code standards; Communications Society; Cyclic redundancy check; Cyclic redundancy check codes; Data communication; Integrated circuit modeling; Parity check codes;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/26.481214
  • Filename
    481214