English

A MacWilliams Identity for Convolutional Codes: The General Case

Information Theory 2008-05-23 v1 math.IT Optimization and Control

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

Cite

@article{arxiv.0805.3484,
  title  = {A MacWilliams Identity for Convolutional Codes: The General Case},
  author = {Heide Gluesing-Luerssen and Gert Schneider},
  journal= {arXiv preprint arXiv:0805.3484},
  year   = {2008}
}

Comments

20 pages

R2 v1 2026-06-21T10:43:16.686Z