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Computer Science > Information Theory

arXiv:0905.0079 (cs)
[Submitted on 1 May 2009]

Title:Multiple-Bases Belief-Propagation Decoding of High-Density Cyclic Codes

Authors:Thorsten Hehn, Johannes B. Huber, Olgica Milenkovic, Stefan Laendner
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Abstract: We introduce a new method for decoding short and moderate length linear block codes with dense parity-check matrix representations of cyclic form, termed multiple-bases belief-propagation (MBBP). The proposed iterative scheme makes use of the fact that a code has many structurally diverse parity-check matrices, capable of detecting different error patterns. We show that this inherent code property leads to decoding algorithms with significantly better performance when compared to standard BP decoding. Furthermore, we describe how to choose sets of parity-check matrices of cyclic form amenable for multiple-bases decoding, based on analytical studies performed for the binary erasure channel. For several cyclic and extended cyclic codes, the MBBP decoding performance can be shown to closely follow that of maximum-likelihood decoders.
Comments: This full paper accompanies a letter submitted to "IEEE Transactions on Communications". It is intended to provide detailed information for interested readers of the letter. 24 pages, 6 figures
Subjects: Information Theory (cs.IT)
Cite as: arXiv:0905.0079 [cs.IT]
  (or arXiv:0905.0079v1 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.0905.0079
Related DOI: https://doi.org/10.1109/TCOMM.2010.01.070468

Submission history

From: Thorsten Hehn [view email]
[v1] Fri, 1 May 2009 11:15:25 UTC (134 KB)
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Thorsten Hehn
Johannes B. Huber
Olgica Milenkovic
Stefan Laendner
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