Analysis of Stopping Constellation Distribution for Irregular Non-binary LDPC Code Ensemble
Summary :
The fixed points of the belief propagation decoder for non-binary low-density parity-check (LDPC) codes are referred to as stopping constellations. In this paper, we give the stopping constellation distributions for the irregular non-binary LDPC code ensembles defined over the general linear group. Moreover, we derive the exponential growth rate of the average stopping constellation distributions in the limit of large codelength.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.11 pp.2153-2160
- Publication Date
- 2011/11/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E94.A.2153
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Coding Theory
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Keyword
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Takayuki NOZAKI, Kenta KASAI, Kohichi SAKANIWA, "Analysis of Stopping Constellation Distribution for Irregular Non-binary LDPC Code Ensemble" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 11, pp. 2153-2160, November 2011, doi: 10.1587/transfun.E94.A.2153.
Abstract: The fixed points of the belief propagation decoder for non-binary low-density parity-check (LDPC) codes are referred to as stopping constellations. In this paper, we give the stopping constellation distributions for the irregular non-binary LDPC code ensembles defined over the general linear group. Moreover, we derive the exponential growth rate of the average stopping constellation distributions in the limit of large codelength.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.2153/_p
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@ARTICLE{e94-a_11_2153,
author={Takayuki NOZAKI, Kenta KASAI, Kohichi SAKANIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis of Stopping Constellation Distribution for Irregular Non-binary LDPC Code Ensemble},
year={2011},
volume={E94-A},
number={11},
pages={2153-2160},
abstract={The fixed points of the belief propagation decoder for non-binary low-density parity-check (LDPC) codes are referred to as stopping constellations. In this paper, we give the stopping constellation distributions for the irregular non-binary LDPC code ensembles defined over the general linear group. Moreover, we derive the exponential growth rate of the average stopping constellation distributions in the limit of large codelength.},
keywords={},
doi={10.1587/transfun.E94.A.2153},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - Analysis of Stopping Constellation Distribution for Irregular Non-binary LDPC Code Ensemble
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2153
EP - 2160
AU - Takayuki NOZAKI
AU - Kenta KASAI
AU - Kohichi SAKANIWA
PY - 2011
DO - 10.1587/transfun.E94.A.2153
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2011
AB - The fixed points of the belief propagation decoder for non-binary low-density parity-check (LDPC) codes are referred to as stopping constellations. In this paper, we give the stopping constellation distributions for the irregular non-binary LDPC code ensembles defined over the general linear group. Moreover, we derive the exponential growth rate of the average stopping constellation distributions in the limit of large codelength.
ER -
English
