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Finite alphabet iterative decoders for LDPC codes surpassing floating-point iterative decoders
Author(s) -
Shiva Kumar Planjery,
David Declercq,
Ludovic Danjean,
Bane Vasić
Publication year - 2011
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2011.1184
Subject(s) - low density parity check code , belief propagation , message passing , algorithm , decoding methods , binary number , computer science , error floor , alphabet , factor graph , representation (politics) , channel (broadcasting) , bit error rate , floating point , parity bit , theoretical computer science , error detection and correction , turbo code , mathematics , arithmetic , parallel computing , telecommunications , linguistics , philosophy , politics , political science , law
Introduced is a new type of message-passing (MP) decoders for low-density parity-check (LDPC) codes over the binary symmetric channel. Unlike traditional belief propagation (BP) based MP algorithms which propagate probabilities or log-likelihoods, the new MP decoders propagate messages requiring only a finite number of bits for their representation in such a way that good performance in the error floor region is ensured. Additionally, these messages are not quantised probabilities or log-likelihoods. As examples, MP decoders are provided that require only three bits for message representation, but surpass the floating-point BP (which requires a large number of bits for representation) in the error-floor region.

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