摘要
通过对低密度奇偶校验(LDPC)码构造的研究,提出了一种利用稀疏二进制序列构造规则LDPC码的新颖而简单的方法。在构造中,还提出了奇偶校验矩阵里元素‘1’的分布矩阵的概念。为了确保码Tanner图的最小圈长为8,利用了序列的周期自相关函数和周期互相关函数。通过仿真表明构造的新码在和积算法下进行迭代解码性能优异。由于产生的LDPC码本身固有的准循环结构,还能得到较低的编码复杂度。
A novel and simple construction of regular LDPC codes was proposed, which used sparse binary sequences, through studying construction methods of LDPC codes. The distribution matrix of ones in parity-check matrix was introduced into the new construction. The cyclic cross correlation function and the cyclic auto correlation function were utilized to ensure that the girth of Tanner graph was eight. The new codes perform well using the sum-product algorithm for iterative decoding. Low encoding complexity can also be achieved due to the inherent quasi-cyclic structure of the LDPC codes.
出处
《通信学报》
EI
CSCD
北大核心
2005年第6期81-86,共6页
Journal on Communications
基金
国家自然基金资助项目(60496311)
关键词
低密度奇偶校验码
稀疏二进制序列
准循环码
迭代解码
和积算法
low-density parity-check codes
sparse binary sequences
quasi-cyclic codes
iterative decoding
sum-product algorithm
