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IEICE TRANSACTIONS on Fundamentals

Analysis of Error Floors of Non-binary LDPC Codes over MBIOS Channel

Takayuki NOZAKI, Kenta KASAI, Kohichi SAKANIWA

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Summary :

In this paper, we investigate the error floors of non-binary low-density parity-check (LDPC) codes transmitted over the memoryless binary-input output-symmetric (MBIOS) channels. We provide a necessary and sufficient condition for successful decoding of zigzag cycle codes over the MBIOS channel by the belief propagation decoder. We consider an expurgated ensemble of non-binary LDPC codes by using the above necessary and sufficient condition, and hence exhibit lower error floors. Finally, we show lower bounds of the error floors for the expurgated LDPC code ensembles over the MBIOS channels.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.11 pp.2144-2152
Publication Date
2011/11/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E94.A.2144
Type of Manuscript
Special Section PAPER (Special Section on Information Theory and Its Applications)
Category
Coding Theory

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