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
fDate :
7/1/2009 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2009.2021302
