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.
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Takayuki NOZAKI, Kenta KASAI, Kohichi SAKANIWA, "Analysis of Error Floors of Non-binary LDPC Codes over MBIOS Channel" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 11, pp. 2144-2152, November 2011, doi: 10.1587/transfun.E94.A.2144.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.2144/_p
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@ARTICLE{e94-a_11_2144,
author={Takayuki NOZAKI, Kenta KASAI, Kohichi SAKANIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis of Error Floors of Non-binary LDPC Codes over MBIOS Channel},
year={2011},
volume={E94-A},
number={11},
pages={2144-2152},
abstract={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.},
keywords={},
doi={10.1587/transfun.E94.A.2144},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - Analysis of Error Floors of Non-binary LDPC Codes over MBIOS Channel
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2144
EP - 2152
AU - Takayuki NOZAKI
AU - Kenta KASAI
AU - Kohichi SAKANIWA
PY - 2011
DO - 10.1587/transfun.E94.A.2144
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2011
AB - 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.
ER -