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为使低密度奇偶校验(LDPC)码高效地应用于光通信系统中,针对光通信系统的传输特点,提出了一种新颖的基于循环置换矩阵和掩蔽矩阵构造满秩准循环低密度奇偶校验(QC-LDPC)码的方法。该方法定义了一类基矩阵,由基矩阵扩展出循环置换矩阵,构造出围长至少为8的校验矩阵;提出了掩蔽矩阵的设计规则,并利用设计的掩蔽矩阵对前面得到的校验矩阵进行变换,构造出围长至少为8的满秩QC-LDPC码。与多种不同的QC-LDPC码构造方法进行理论分析和性能仿真比较,结果表明,利用该方法构造出的LDPC码字是满秩的,具有严格的准循环特性和优异的纠错性能,且构造灵活。该方法构造的码字适用于光通信系统。
In order to efficiently apply low density parity check (LDPC) codes to optical communication systems, a novel transmission scheme based on cyclic permutation matrix and masking matrix is proposed to construct full rank quasi-cyclic low density parity check (QC-LDPC) code method. The method defines a kind of basis matrix, and expands the cyclic permutation matrix from the basis matrix to construct a parity check matrix with a minimum length of 8. A design rule of the mask matrix is proposed, and the masking matrix used in the preceding verification Matrix is transformed to construct a full rank QC-LDPC code with a girth of at least eight. Compared with many different methods of constructing QC-LDPC codes, theoretical analysis and performance simulation show that LDPC codes constructed by this method are full-rank, with strict quasi-cyclic characteristics and excellent error-correcting performance Flexible structure. The code constructed by this method is suitable for optical communication systems.