重庆邮电大学学报（自然科学版）2017，Vol.29Issue(4)：468-473,6.DOI:10.3979/j.issn.1673-825X.2017.04.007
基于模数哥隆尺的新颖eALT-QC-LDPC码构造方法
New construction method of the eALT-QC-LDPC code based on the modular Golomb rulers
摘要
Abstract
A new construction method of quasi-cyclic low-density parity-check codes with extending approximate lower triangular structure-quasi cyclic-low density parity check(eALT-QC-LDPC), based on modular Golomb rulers, was proposed.The new construction method can eliminate the short cycles of the girth-4, girth-6 and girth-8 without a computer search, the different codes with flexible code-lengths and code-rates can be constructed by setting the different parameters.The proposed construction method can assure that the error-correction performances of the codes are greatly improved under the premise of the linear encoding complexity.Simulation results show that all the error-correction performances of eALT-QC(5 913,3 952) code with the code-rate of 0.66, the eALT-QC(3 648,2 289) code with the code-rate of 0.63, the eALT-QC(1116,558) code and eALT-QC(684,349) code with the code-rate of 0.5, compared with those of the PEG code with the same code-rate, code-length and degree distribution as well as the QC-LDPC code with the same code-rate, code-length and the girth-8, are improved to some extent respectively.The bit error rate(BER) performance of eALT-QC-LDPC code with the code-rate of 0.5 is closer to that of the random LDPC code in IS-GPS-800 protocol, but the new eALT-QC-LDPC code is easier to be implemented and its storage space was reduced to a great extent.Therefore, the new construction method can play an important role in the channel coding scheme for navigation systems.关键词
准循环LDPC(QC-LDPC)码/模数哥隆尺/纠错性能/误码率(BER)Key words
quasi cyclic-low density parity check(QC-LDPC) code/modular Golomb rulers/error-correction performance/bit error rate(BER)分类
信息技术与安全科学引用本文复制引用
李玲香,李季碧,邵金侠..基于模数哥隆尺的新颖eALT-QC-LDPC码构造方法[J].重庆邮电大学学报（自然科学版）,2017,29(4):468-473,6.基金项目
国家自然科学基金(61472464) （61472464）
湖南省教育厅科技研究项目(16C0686) （16C0686）
湖南科技学院重点学科建设项目(电路与系统)The National Natural Science Foundation of China(61472464) （电路与系统）
The Project supported by the Research Foundation of Education Bureau of Hunan Province,China(16C0686) （16C0686）
The Key discipline construction project funding for Hunan University of Science and Engineering(Electrical systems) （Electrical systems）
