A MacWilliams Identity for Convolutional Codes: The General Case

Heide Gluesing-Luerssen*, Gert Schneider

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

9 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2920-2930
Number of pages11
JournalIEEE Transactions on Information Theory
Volume55
Issue number7
DOIs
Publication statusPublished - Jul-2009

Keywords

  • Controller canonical form
  • convolutional codes
  • MacWilliams identity
  • weight adjacency matrix
  • weight distribution
  • SYSTEMS
  • DYNAMICS
  • SPACES

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