LDPC码校验矩阵的缩短RS码构造方法研究

Construction of check matrix of LDPC code from shortened RS code

为了兼顾低密度奇偶校验(Low density parity check,LDPC)码良好的纠错性能和较低的实现复杂度,提出了一种基于缩短里所(Reed-Solomon,RS)码构造LDPC码校验矩阵的方法。基于规则LDPC码校验矩阵的约束条件和缩短RS码的特点,对该方法进行了详细论述,重点阐述了缩短RS码的参数选取和陪集划分方法。以具体规则LDPC码为例论述了方法的构造过程,仿真结果证明了其良好的纠错性能。该方法通过对q、γ和ρ等参数的选取,可以构造出不同码长、列重和行重的LDPC码,是一种易于硬件实现的代数构造方法。

In order to obtain the good error correction performance and the simple hardware implementation of low density parity check(LDPC) codes simultaneously,a construction method of parity check matrix of LDPC codes from shortened Reed-Solomon(RS) codes is proposed.On the basis of the constraints of regular LDPC codes and the features of shortened RS codes,the method is discussed focusing on the selection of the shortened RS codes parameters and partitions of coset.Taking the specific regular LDPC codes as a example,the construction process is introduced completely.The simulation results show that the method has the good error correction performance,can construct LDPC codes with different code length,columns and row weights by selecting the parameters of q,γ andρ,and is a convenient algebraic construction method for the hardware implementation.