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基于平衡不完全区组设计(BIBD)、循环矩阵分解和循环置换矩阵,提出了一种适用于光传输系统的新颖准循环低密度奇偶校验码(QC-LDPC)构造方法。利用Bose的第一类方法构造的低密度校验矩阵对其进行循环列分解得到相应的模板矩阵,再利用合适的循环置换矩阵对其进行扩展。采用该方法构造的QC-LDPC码具有良好的结构,且可根据实际需要来灵活地选择码长和码率。仿真结果表明:在误码率为10-6时其码率均为93.7%的情况下,该方法构造的novel-QC-LDPC(10992,10305)码比ITU-T G.975中RS(255,239)码的净编码增益(NCG)改善了约1.8d B。因此该构造方法所构造的QC-LDPC码具有更好的纠错性能,更适合高速长距离的光传输系统。
Based on BIBD, cyclic matrix factorization and cyclic permutation matrix, a novel quasi-cyclic low-density parity-check (QC-LDPC) method for optical transmission system is proposed. The low-density parity-check matrix constructed by the first class of Bose method is used to decompose the cyclic matrix into corresponding template matrixes, and then an appropriate circular permutation matrix is used to extend the matrix. The QC-LDPC code constructed by the method has a good structure, and can flexibly select the code length and the code rate according to actual needs. The simulation results show that the novel-QC-LDPC (10992,10305) code constructed by this method has a lower bit rate than RS (255,239) in ITU-T G.975 when the bit rate is 93.7% ) Code net code gain (NCG) improved about 1.8d B. Therefore, the QC-LDPC code constructed by the construction method has better error correction performance and is more suitable for a high-speed long-distance optical transmission system.