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基于修饰技术提出了一种改进的准循环低密度奇偶校验(QC-LDPC)码的构造方法。该方法构造的QC-LDPC码具有较低的编码复杂度,其校验矩阵围长至少为6,避免了四环的出现,具有良好的围长特性。仿真分析表明:通过该构造方法构造的码率为93.7%的QC-LDPC(3969,3717)码在降低其编码复杂度的情况下,拥有与其对应的未应用修饰技术的QC-LDPC(3969,3719)码相媲美的纠错性能;并且在相同条件下,QC-LDPC(3969,3717)码的纠错性能要好于利用随机构造方法构造的PEG-LDPC(3969,3720)码,以及ITU-T G.975中已广泛用于光通信系统中的RS(255,239)码和LDPC(32640,30592)码,更适合于光通信系统。
Based on the modification technique, an improved method for constructing quasi-cyclic low-density parity-check (QC-LDPC) codes is proposed. The QC-LDPC code constructed by this method has a lower coding complexity, with a check matrix length of at least 6, which avoids the appearance of a tetracyclic ring and has good girth characteristics. The simulation results show that QC-LDPC (3969,3717) with 93.7% code rate constructed by this method possesses QC-LDPC (3969, 3719) code, and the error correction performance of QC-LDPC (3969,3717) codes is better than that of PEG-LDPC (3969,3720) code constructed by random construction under the same conditions, T G.975 has been widely used in optical communication systems RS (255,239) code and LDPC (32640,30592) code, more suitable for optical communication systems.