基于Fibonacci数列对QC-LDPC码的一种新颖构造方法

A Novel Construction Method of QC-LDPC Codes Based on Fibonacci Sequence

基于斐波那契数列(Fibonacci sequence,FS)提出了一种准循环低密度奇偶校验(quasi-cyclic lowdensity parity-check,QC-LDPC)码的新颖构造方法,该构造方法能避免四环的产生,具有较好的纠错性能,可通过改变参数值进而改变码长和码率。仿真结果表明:当误码率(bit error rate,BER)为10-6时,利用该构造方法所构造的QC-LDPC(6200,3103)码的净编码增益(net coding gain,NCG)比同码率的基于大衍数列(Dayan sequence,DS)构造的QC-LDPC(6204,3105)码以及基于等差数列(arithmetic progression sequence,APS)构造的QC-LDPC(6200,3103)码的NCG分别提高了0.3d B和1.4d B。

A novel construction method of Quasi-Cyclic Low-Density Parity-Check（ QC-LDPC） codes based on Fibonacci sequence（ FS） is proposed. The novel construction method can avoid the girth-4 and have better error-correction performance. Moreover,the code length and the code rate can be adjusted by selecting different parameters.The simulation result shows that,at the bit error rate（ BER） of 10-6,the net coding gain（ NCG） of the QC-LDPC（ 6200,3103） code is respectively improved 0. 3d B and 1. 4d B more than those of the QC-LDPC（ 6204,3105） code constructed by the construction method based on Dayan sequence（ DS） and the QC- LDPC（ 6200,3103） code constructed by the construction method based on arithmetic progression sequence（ APS）. Furthermore,all codes have the same code rate of 50%.