A MacWilliams identity for convolutional codes: The general case

Heidi Gluesing-Luerssen; Gert Schneider

doi:10.1109/TIT.2009.2021302

A MacWilliams identity for convolutional codes: The general case

Heidi Gluesing-Luerssen
, Gert Schneider

Mathematics

Producción científica: Article › revisión exhaustiva

12 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	2920-2930
Número de páginas	11
Publicación	IEEE Transactions on Information Theory
Volumen	55
N.º	7
DOI	https://doi.org/10.1109/TIT.2009.2021302
Estado	Published - 2009

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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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.",

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T2 - The general case

AU - Gluesing-Luerssen, Heidi

AU - Schneider, Gert

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KW - Controller canonical form

KW - Convolutional codes

KW - MacWilliams identity

KW - Weight adjacency matrix

KW - Weight distribution

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UR - https://www.scopus.com/pages/publications/67650151818#tab=citedBy

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JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

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A MacWilliams identity for convolutional codes: The general case

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