| 码长连续变化的QC-LDPC码的设计 |
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| 引用本文： | 刘磊, 周武旸. 码长连续变化的QC-LDPC码的设计[J]. 电子与信息学报, 2009, 31(10): 2523-2526. doi: 10.3724/SP.J.1146.2008.00635 |
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| 作者姓名： | 刘磊 周武旸 |
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| 作者单位： | 中国科学技术大学无线网络通信实验室,合肥,230027;中国科学技术大学无线网络通信实验室,合肥,230027 |
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| 基金项目： | 国家863计划重点项目，国家973计划项目，中瑞国际合作项目，安徽省自然科学基金(070412044)资助课题 |
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| 摘 要： | 该文基于有限多项式环的理论，提出了码长连续变化的准循环低密度奇偶校验(Quasi-Cyclic Low Density Parity Check, QC-LDPC)码的设计方法。当有限环基数大于某个门限值时，在此环内通过一定规则选择参数生成移位项，利用它们构造出的校验矩阵均可以达到较大的圈长(girth)值。在设计中，有限环基数为连续的整数，且基数与码长呈线性关系，因此能够在girth值不变的前提下实现码长的连续变化。该文分析并证明了该构造方法大大增加了可用的高性能QC-LDPC码数量，更好地服务于自适应链路系统。
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| 关 键 词： | 低密度奇偶校验码 准循环 有限多项式环 圈长 连续可变码长 |
| 收稿时间： | 2008-05-21 |
| 修稿时间： | 2009-06-29 |
Design of QC-LDPC Code with Continuously Variable Length |
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| Liu Lei, Zhou Wu-yang. Design of QC-LDPC Code with Continuously Variable Length[J]. Journal of Electronics & Information Technology, 2009, 31(10): 2523-2526. doi: 10.3724/SP.J.1146.2008.00635 |
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| Authors: | Liu Lei Zhou Wu-yang |
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| Affiliation: | Wireless Information Network Lab, Dept. Electronic Engineering and Information Science, University of Science and Technology of China, Hefei 230027, China |
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| Abstract: | Based on the theory of finite polynomial ring, a novel code design method for Quasi-Cyclic Low Density Parity Check (QC-LDPC) codes with continuously variable length is proposed. When the cardinal number of the ring is larger than a certain threshold, the shift offset values can be formulated by the parameters selected in the ring. Thus all H matrices constructed by them have larger girth. In the design, the cardinal number of the ring is a continuously variable integer, which has a linear relation with the code length, so that the code length can be increased continuously. Analyses and proofs show that, the method can enlarge the number of QC-LDPC codes greatly, which can serve the adaptive link systems better. |
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| Keywords: | LDPC codes Quasi-Cyclic Finite polynomial ring Girth Continuously variable code length |
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