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Design of good QC-LDPC codes without small girth in the p-plane

查看全文 作  者:Lingjun [1,2]Kong;Yang [1]Xiao 高影响力作者 机构地区:[1]Institute of Information Science, Beijing Jiaotong University, Beijing 100044, E R. China;[2]Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming 650500, P. R. China高影响力机构 出  处:《Journal of Systems Engineering and Electronics》索引2011年第22卷第2期,共5页高影响力期刊 基  金:supported by the National Natural Science Foundation of China (60572093);Specialized Research Fund for the Doctoral Program of Higher Education (20050004016) 摘  要:A construction method based on the p-plane to design high-girth quasi-cyclic low-density parity-check (QC-LDPC) codes is proposed. Firstly the good points in every line of the p-plane can be ascertained through filtering the bad points, because the designed parity-check matrixes using these points have the short cycles in Tanner graph of codes. Then one of the best points from the residual good points of every line in the p-plane will be found, respectively. The optimal point is also singled out according to the bit error rate (BER) performance of the QC-LDPC codes at last. Explicit necessary and sufficient conditions for the QC-LDPC codes to have no short cycles are presented which are in favor of removing the bad points in the p-plane. Since preventing the short cycles also prevents the small stopping sets, the proposed construction method also leads to QC-LDPC codes with a higher stopping distance. 关 键 词:LDPC码 平面设计 QC 周长 低密度奇偶校验 短周期 校验矩阵 制动距离
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