A MacWilliams identity for convolutional codes: the general case

Authors:
Heide Gluesing-Luerssen;Gert Schneider
Affiliations:
Department of Mathematics, University of Kentucky, Lexington, KY;Department of Mathematics, University of Groningen, Groningen, The Netherlands
Venue:
IEEE Transactions on Information Theory
Year:
2009

Citing 7
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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.