一种改进的基于有限域的准循环LDPC码设计方法

Quasi-Cyclic LDPC Codes Design Based on an Improved Finite Field Method

结合有限域方法和具有简单递归编码特性的Tam结构,提出了一种新的准循环LDPC码构造方法.该方法首先利用有限域方法构造出校验矩阵,并得到其相应的指数矩阵,接着采用具有Tam结构的校验矩阵对应的二元基矩阵,两者进行掩膜运算(mask),得到新的指数矩阵,最后构造出的准循环LDPC码兼具有限域方法的良好纠错特性和Tam结构的简单递归编码特性.仿真结果表明,所提方法构造的准循环LDPC码的BER(Bit Error Rate)性能要优于Tam码和802.16e码.

This paper proposed a novel QC-LDPC code construction method which combined the finite field method and Tam structure with simple recursive encoding structure .We first construct a parity check matrix by the finite field method ,and obtain its corresponding exponent matrix .Then ,we use the binary base matrix with the Tam structure to mask with the above exponent matrix .Consequently ,a new exponent matrix can be constructed . Finally ,a H matrix can be constructed ,which is with both the good performance by the finite field method and the simple recursive structure .Simulation results show that the BER of proposed QC-LDPC code is better than the Tam code and 802 .16e code .