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一种引入积分修正的二维信息大数逻辑LDPC译码算法
黎相成,黄绎珲,莫莉歆,李光荣,杜立婵
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(1.广西大学 计算机与电子信息学院,南宁 530004;2.广西多媒体通信与网络技术重点实验室,南宁 530004;3.南宁职业技术学院 人工智能学院,南宁 530008)
摘要:
为了解决基于可靠度的迭代大数逻辑译码(Modified Reliability-based Iterative Majority Logic Decoding,MRBI-MLGD)算法的错误平层问题,提出了一种基于大数逻辑的低密度奇偶校验(Low Density Parity Check,LDPC)译码算法。所提算法在译码函数中引入积分修正项,实现了基于二维信息修正的译码策略,可有效降低错误平层。此外,与基于二元译码信息的的迭代大数逻辑译码(Binary Message Majority Logic Decoding,BM-MLGD)算法不一样,所提算法可适用于不同列重的LDPC码。仿真结果表明,所提译码算法在整个工作信噪比区间内都具有稳定的译码性能,表现出更好的普适性和鲁棒性。
关键词:  低密度奇偶校验(LDPC)码  译码算法  积分修正  大数逻辑
DOI:10.20079/j.issn.1001-893x.220323002
基金项目:国家自然科学基金资助项目(61761006,61961004);广西自然科学基金(2018GXNSFAA138079);广西高校中青年教师基础能力提升项目(2022KY1015)
A 2D Messages Majority Logic Decoding Algorithm for LDPC Codes with Integral-revising
LI Xiangcheng,HUANG Yihui,MO Lixin,LI Guangrong,DU Lichan
(1.School of Computer,Electronics and Information,Guangxi University,Nanning 530004,China;2.Guangxi Key Laboratory of Multimedia Communications and Network Technology,Nanning 530004,China;3.School of Artificial Intelligence,Nanning College for Vocational Technology,Nanning 530008,China)
Abstract:
To solve the error floor problem of the Modified Reliability-based Iterative Majority Logic Decoding(MRBI-MLGD) algorithm,a 2-dimensional(2D) message decoding algorithm is presented for Low Density Parity Check(LDPC) codes based on integral-revising.The presented algorithm adopts the 2D decoding strategy by combining the proportion-amendment and integral-amendment,which can effectively lower the error floor.Moreover,the presented algorithm is available for LDPC codes with different column weights,which solves the column-weight limitation for issue associated with the Binary Message Majority-Logic Decoding(BM-MLGD) algorithm.Simulation results show a stable performance for LDCP codes at the whole signal-to-noise ratio(SNR) region.Therefore,the presented algorithm exhibits good universality and robustness.
Key words:  low density parity check(LDPC) codes  decoding algorithm  integral-revising  majority logic