Ensembles of codes over Abelian groups

Giacomo Como, Fabio Fagnani

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4 Citeringar (SciVal)

Sammanfattning

In this paper we study ensembles of Abelian group codes on symmetric channels. Our main example is the AWGN channel where the inputs are restricted to a GU constellation admitting ℤm as a generating group. For codes which are ℤm-free modules, we prove a sort of Shannon theorem which exactly characterizes which are the rates for which reliable transmission is possible. In particular we prove that for the 2r- PSK constellation, group codes over ℤ2r do achieve Shannon capacity. Finally, we study the performance of low density ℤm- codes and we prove average convergence rate of their word error probability.

Originalspråkengelska
Titel på gästpublikationProceedings of the 2005 IEEE International Symposium on Information Theory, ISIT 05
Sidor1788-1792
Antal sidor5
Volym2005
DOI
StatusPublished - 2005 dec 1
Evenemang2005 IEEE International Symposium on Information Theory, ISIT 05 - Adelaide, Australien
Varaktighet: 2005 sep 42005 sep 9

Konferens

Konferens2005 IEEE International Symposium on Information Theory, ISIT 05
Land/TerritoriumAustralien
OrtAdelaide
Period2005/09/042005/09/09

Ämnesklassifikation (UKÄ)

  • Reglerteknik

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