| 摘要: |
| 针对准循环低密度奇偶校验(Quasi-Cyclic Low-Density Parity-Check,QC-LDPC)码存在短环及纠错性能不好的问题，基于Hoey序列(Hoey Sequence,HS)提出了一种新颖的QC-LDPC码构造方法。该方法从HS中选取一些元素，组成呈递增趋势的集合，进行简单的四则运算构造出指数矩阵，扩展得到围长至少为8的奇偶校验矩阵，并且可通过改变选取HS元素的数量进而灵活地改变码率和码长。仿真结果表明，同等条件下，在误码率为10-6时，该方法所构造的码率为0.5的HS-QC-LDPC(1 200,600)码与对比的几种码型相比，其净编码增益至少有0.12 dB的提升；在误码率为10-7时，该方法所构造的码率为0.67的HS-QC-LDPC(3 600，2 400)码与对比的几种码型相比，其净编码增益至少有0.06 dB的提升。此外，所构造的校验矩阵的复杂度与指数矩阵的行列数乘积呈线性关系，与其他对比文献相比具有较低复杂度。 |
| 关键词: 准循环低密度奇偶校验(QC-LDPC)码 构造方法 Hoey序列 低复杂度 |
| DOI：10.20079/j.issn.1001-893x.240302001 |
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| 基金项目:国家自然科学基金资助项目(U21A20447，61971079) |
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| A Construction Method of Girth-8 QC-LDPC Codes Based on Hoey Sequence |
| YUAN Jianguo,SONG Wanchuang |
| (School of Communications and Information Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China) |
| Abstract: |
| In order to solve the problems of short-loop and poor error correction performance of quasi-cyclic low-density parity-check(QC-LDPC) codes,a novel QC-LDPC code construction method based on Hoey sequence(HS) is proposed.In this method,some elements are selected from the Hoey sequence to form a set with an increasing trend,the exponential matrix is constructed by simple four-rule operations,the parity matrix with a circumference length of at least 8 is expanded,and the code rate and code length can be flexibly changed by changing the number of selected elements in the Hoey sequence.The simulation results show that under the same conditions,when the bit error rate(BER) is 10-6,the net coding gain of the HS-QC-LDPC(1 200,600) code constructed by the proposed method with a code rate of 0.5 is at least 0.12 dB higher than that of the compared code types,and when the BER is 10-7,the net coding gain of the HS-QC-LDPC(3 600,2 400) code constructed by the proposed method with a code rate of 0.67 is at least 0.06 dB higher than that of the compared code forms.In addition,the complexity of the constructed verification matrix is linearly related to the product of the number of rows and columns of the exponential matrix,which has a lower complexity than other comparative literatures. |
| Key words: quasi-cyclic low-density parity check(QC-LDPC) code construction method Hoey sequence low complexity |
