The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Dans cette étude, des codes de contrôle de parité à faible densité (SC-LDPC) couplés spatialement sur le canal d'effacement de réseau bidimensionnel (2DAE) sont conçus, y compris une méthode pour générer de nouveaux codes SC-LDPC avec une restriction sur la contrainte du nœud de contrôle. . Une analyse de l'évolution de la densité confirme l'amélioration du seuil des ensembles de codes SC-LDPC bidimensionnels proposés par rapport aux ensembles de codes SC-LDPC unidimensionnels. Nous montrons que le seuil BP des codes proposés peut approcher le seuil maximum a posteriori (MAP) correspondant du graphe résiduel original sur le canal 2DAE. De plus, nous montrons que les taux du graphe résiduel de l’ensemble de codes de blocs LDPC bidimensionnels sont inférieurs à ceux de l’ensemble de codes de blocs LDPC unidimensionnels. En d’autres termes, une haute performance peut être obtenue en choisissant les codes bidimensionnels SC-LDPC.
Gou HOSOYA
Tokyo University of Science
Hiroyuki YASHIMA
Tokyo University of Science
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Gou HOSOYA, Hiroyuki YASHIMA, "Spatially Coupled Low-Density Parity-Check Codes on Two-Dimensional Array Erasure Channel" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 12, pp. 2008-2017, December 2018, doi: 10.1587/transfun.E101.A.2008.
Abstract: In this study, spatially coupled low-density parity-check (SC-LDPC) codes on the two-dimensional array erasure (2DAE) channel are devised, including a method for generating new SC-LDPC codes with a restriction on the check node constraint. A density evolution analysis confirms the improvement in the threshold of the proposed two-dimensional SC-LDPC code ensembles over the one-dimensional SC-LDPC code ensembles. We show that the BP threshold of the proposed codes can approach the corresponding maximum a posteriori (MAP) threshold of the original residual graph on the 2DAE channel. Moreover, we show that the rates of the residual graph of the two-dimensional LDPC block code ensemble are smaller than those of the one-dimensional LDPC block code ensemble. In other words, a high performance can be obtained by choosing the two-dimensional SC-LDPC codes.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.2008/_p
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@ARTICLE{e101-a_12_2008,
author={Gou HOSOYA, Hiroyuki YASHIMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Spatially Coupled Low-Density Parity-Check Codes on Two-Dimensional Array Erasure Channel},
year={2018},
volume={E101-A},
number={12},
pages={2008-2017},
abstract={In this study, spatially coupled low-density parity-check (SC-LDPC) codes on the two-dimensional array erasure (2DAE) channel are devised, including a method for generating new SC-LDPC codes with a restriction on the check node constraint. A density evolution analysis confirms the improvement in the threshold of the proposed two-dimensional SC-LDPC code ensembles over the one-dimensional SC-LDPC code ensembles. We show that the BP threshold of the proposed codes can approach the corresponding maximum a posteriori (MAP) threshold of the original residual graph on the 2DAE channel. Moreover, we show that the rates of the residual graph of the two-dimensional LDPC block code ensemble are smaller than those of the one-dimensional LDPC block code ensemble. In other words, a high performance can be obtained by choosing the two-dimensional SC-LDPC codes.},
keywords={},
doi={10.1587/transfun.E101.A.2008},
ISSN={1745-1337},
month={December},}
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TY - JOUR
TI - Spatially Coupled Low-Density Parity-Check Codes on Two-Dimensional Array Erasure Channel
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2008
EP - 2017
AU - Gou HOSOYA
AU - Hiroyuki YASHIMA
PY - 2018
DO - 10.1587/transfun.E101.A.2008
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2018
AB - In this study, spatially coupled low-density parity-check (SC-LDPC) codes on the two-dimensional array erasure (2DAE) channel are devised, including a method for generating new SC-LDPC codes with a restriction on the check node constraint. A density evolution analysis confirms the improvement in the threshold of the proposed two-dimensional SC-LDPC code ensembles over the one-dimensional SC-LDPC code ensembles. We show that the BP threshold of the proposed codes can approach the corresponding maximum a posteriori (MAP) threshold of the original residual graph on the 2DAE channel. Moreover, we show that the rates of the residual graph of the two-dimensional LDPC block code ensemble are smaller than those of the one-dimensional LDPC block code ensemble. In other words, a high performance can be obtained by choosing the two-dimensional SC-LDPC codes.
ER -