提出了一种新的准循环低密度奇偶校验(QC-LDPC)码的构造方法,给出了用该方法构造无环四QC-LDPC码的充分条件。并针对光通信系统的传输特点,用此方法构造了适用于高速长距离光通信系统的QC-LDPC(4 221,3 956)码。仿真结果分析表明:在码率为93.7%、误码率BER为10-6时,与广泛用于光通信系统中的经典RS(255,239)码相比,其净编码增益(NCG)提高了约1.8dB;比SCG-LDPC(3 969,3 720)码的NCG提高了约0.2dB,距离香农极限约1.4dB,且远低于PEG-LDPC(4 221,3 956)码的错误平层,这正满足光通信系统中低错误平层的要求。
A novel construction method of quasi-cyclic low-density parity-Ccheck(QC-LDPC) codes is proposed.A sufficient condition of the construction approach for QC-LDPC codes without girth-four is presented.Considering the characteristics of optical communication systems,a QC-LDPC(4 221,3 956) code for high-speed long-haul optical communication system,based on the proposed method is constructed.The analysis of the simulation result shows that the net coding gain(NCG) of the QC-LDPC(4 221,3 956) code is 1.8 dB and 0.2 dB more than that of the classic RS(255,239) code and SCG-LDPC(3 969,3 720) code respectively at code rate of 93.7% and BER of 10-6.And at the same condition,the NCG of the QC-LDPC(4 221,3 956) code is about 1.4 dB away from the Shannon limit.Furthermore,the error floor of QC-LDPC(4 221,3 956) code is far lower than that of the PEG-LDPC(4 221,3 956) code,which just meets the requirement of optical communication systems.