• DocumentCode
    1077646
  • Title

    A MacWilliams Identity for Convolutional Codes: The General Case

  • Author

    Gluesing-Luerssen, Heide ; Schneider, Gert

  • Author_Institution
    Dept. of Math., Univ. of Kentucky, Lexington, KY
  • Volume
    55
  • Issue
    7
  • fYear
    2009
  • fDate
    7/1/2009 12:00:00 AM
  • Firstpage
    2920
  • Lastpage
    2930
  • Abstract
    A MacWilliams identity for convolutional codes will be established. It makes use of the weight adjacency matrices of the code and its dual, based on state space realizations (the controller canonical form) of the codes in question. The MacWilliams identity applies to various notions of duality appearing in the literature on convolutional coding theory.
  • Keywords
    convolutional codes; MacWilliams identity; controller canonical form; convolutional codes; state space realization; weight adjacency matrix; Block codes; Carbon capture and storage; Convolutional codes; Helium; Mathematics; State-space methods; Viterbi algorithm; Controller canonical form; MacWilliams identity; convolutional codes; weight adjacency matrix; weight distribution;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2009.2021302
  • Filename
    5075883
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1077646