Generalized reliability-based syndrome decoding for LDPC codes

dc.creatorLi, Guangwen
dc.creatorFeng, Guangzeng
dc.date2007-10-27
dc.date2008-05-15
dc.date.accessioned2026-07-07T09:38:41Z
dc.date.available2026-07-07T09:38:41Z
dc.descriptionAiming at bridging the gap between the maximum likelihood decoding (MLD) and the suboptimal iterative decodings for short or medium length LDPC codes, we present a generalized ordered statistic decoding (OSD) in the form of syndrome decoding, to cascade with the belief propagation (BP) or enhanced min-sum decoding. The OSD is invoked only when the decoding failures are obtained for the preceded iterative decoding method. With respect to the existing OSD which is based on the accumulated log-likelihood ratio (LLR) metric, we extend the accumulative metric to the situation where the BP decoding is in the probability domain. Moreover, after generalizing the accumulative metric to the context of the normalized or offset min-sum decoding, the OSD shows appealing tradeoff between performance and complexity. In the OSD implementation, when deciding the true error pattern among many candidates, an alternative proposed proves to be effective to reduce the number of real additions without performance loss. Simulation results demonstrate that the cascade connection of enhanced min-sum and OSD decodings outperforms the BP alone significantly, in terms of either performance or complexity.
dc.description9 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0710.5230
dc.identifierhttp://arxiv.org/abs/0710.5230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160893
dc.subjectInformation Theory
dc.titleGeneralized reliability-based syndrome decoding for LDPC codes
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