Reconstruction of LDPC code sparse check matrix based on modified LBP decoding

In order to reconstruct the sparse check matrix of LDPC code, a sparse check matrix reconstruction algorithm for LDPC code at high BER was proposed based on modified LBP decoding. Firstly, some bits were selected randomly from the codeword matrix to construct the codeword analysis matrix, and Gaussi...

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Main Authors: ZHANG Tianqi, LI Chunyun, WU Xianyue, WU Yunge
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2024-05-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024097/
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author ZHANG Tianqi
LI Chunyun
WU Xianyue
WU Yunge
author_facet ZHANG Tianqi
LI Chunyun
WU Xianyue
WU Yunge
author_sort ZHANG Tianqi
collection DOAJ
description In order to reconstruct the sparse check matrix of LDPC code, a sparse check matrix reconstruction algorithm for LDPC code at high BER was proposed based on modified LBP decoding. Firstly, some bits were selected randomly from the codeword matrix to construct the codeword analysis matrix, and Gaussian elimination on it was performed to find the dual space. Secondly, by determining whether the pairwise space vectors were sparse or not, it improved the efficiency of the subsequent suspected check vectors determination. Finally, in the case of insufficient received codes, the known check vectors were combined with the modified LBP decoding method to correct the wrong codes, so as to speed up the reconstruction of the sparse check matrix of LDPC code and improve the reconstruction performance. The simulation results show that the reconstruction rate of sparse check matrix of (648,324) LDPC codes in IEEE 802.11n protocol is improved by 52.16% compared with the existing algorithms, and can reach 92.28% at high BER of 0.004 5.
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institution Kabale University
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publisher Editorial Department of Journal on Communications
record_format Article
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spelling doaj-art-b58de9e8f39e471689dec4dc45687a7d2025-01-14T07:24:22ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2024-05-0145707962276643Reconstruction of LDPC code sparse check matrix based on modified LBP decodingZHANG TianqiLI ChunyunWU XianyueWU YungeIn order to reconstruct the sparse check matrix of LDPC code, a sparse check matrix reconstruction algorithm for LDPC code at high BER was proposed based on modified LBP decoding. Firstly, some bits were selected randomly from the codeword matrix to construct the codeword analysis matrix, and Gaussian elimination on it was performed to find the dual space. Secondly, by determining whether the pairwise space vectors were sparse or not, it improved the efficiency of the subsequent suspected check vectors determination. Finally, in the case of insufficient received codes, the known check vectors were combined with the modified LBP decoding method to correct the wrong codes, so as to speed up the reconstruction of the sparse check matrix of LDPC code and improve the reconstruction performance. The simulation results show that the reconstruction rate of sparse check matrix of (648,324) LDPC codes in IEEE 802.11n protocol is improved by 52.16% compared with the existing algorithms, and can reach 92.28% at high BER of 0.004 5.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024097/LDPCsparse check matrixGaussian eliminationmodified LBP decodingreconstruction
spellingShingle ZHANG Tianqi
LI Chunyun
WU Xianyue
WU Yunge
Reconstruction of LDPC code sparse check matrix based on modified LBP decoding
Tongxin xuebao
LDPC
sparse check matrix
Gaussian elimination
modified LBP decoding
reconstruction
title Reconstruction of LDPC code sparse check matrix based on modified LBP decoding
title_full Reconstruction of LDPC code sparse check matrix based on modified LBP decoding
title_fullStr Reconstruction of LDPC code sparse check matrix based on modified LBP decoding
title_full_unstemmed Reconstruction of LDPC code sparse check matrix based on modified LBP decoding
title_short Reconstruction of LDPC code sparse check matrix based on modified LBP decoding
title_sort reconstruction of ldpc code sparse check matrix based on modified lbp decoding
topic LDPC
sparse check matrix
Gaussian elimination
modified LBP decoding
reconstruction
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024097/
work_keys_str_mv AT zhangtianqi reconstructionofldpccodesparsecheckmatrixbasedonmodifiedlbpdecoding
AT lichunyun reconstructionofldpccodesparsecheckmatrixbasedonmodifiedlbpdecoding
AT wuxianyue reconstructionofldpccodesparsecheckmatrixbasedonmodifiedlbpdecoding
AT wuyunge reconstructionofldpccodesparsecheckmatrixbasedonmodifiedlbpdecoding