Further results on the asymptotic complexity of an iterative coding scheme

The purpose of this paper is to demonstrate that it is possible to communicate over a memoryless channel of capacity C at any rate R < C with a probability of error less than 2^{-E(R)\nu},E(R)>0 , per block of a length approximately proportional to \nu^{2} and with a computational decoding com...

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Vydáno v:IEEE transactions on information theory Ročník 12; číslo 2; s. 168 - 171
Hlavní autor: Ziv, J.
Médium: Journal Article
Jazyk:angličtina
Vydáno: IEEE 01.04.1966
Témata:
Channel capacity
Complexity theory
Delays
Encoding
Iterative decoding
Iterative methods
Maximum likelihood decoding
Memoryless systems
Probabilistic logic
Symbols
ISSN:0018-9448, 1557-9654
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Shrnutí:The purpose of this paper is to demonstrate that it is possible to communicate over a memoryless channel of capacity C at any rate R < C with a probability of error less than 2^{-E(R)\nu},E(R)>0 , per block of a length approximately proportional to \nu^{2} and with a computational decoding complexity which is asymptotically proportional to \nu^{2} when \nu is large. The decoding scheme presented in this paper is based on a two-cycle iteration of a decoding procedure which has been described in an earlier paper [1 ].
Bibliografie:ObjectType-Article-2
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.1966.1053878