• DocumentCode
    907594
  • Title

    Further results on the asymptotic complexity of an iterative coding scheme

  • Author

    Ziv, Jacob

  • Volume
    12
  • Issue
    2
  • fYear
    1966
  • fDate
    4/1/1966 12:00:00 AM
  • Firstpage
    168
  • Lastpage
    171
  • Abstract
    The purpose of this paper is to demonstrate that it is possible to communicate over a memoryless channel of capacity C at any rate R < C with a probability of error less than 2^{-E(R)\\nu},E(R)> 0 , per block of a length approximately proportional to \\nu^{2} and with a computational decoding complexity which is asymptotically proportional to \\nu^{2} when \\nu is large. The decoding scheme presented in this paper is based on a two-cycle iteration of a decoding procedure which has been described in an earlier paper [1 ].
  • Keywords
    Computation theory; Decoding; Memoryless channels; Product codes; Associate members; Capacity planning; Channel capacity; Iterative decoding; Jacobian matrices; Memoryless systems; Parity check codes; Probability;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1966.1053878
  • Filename
    1053878