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针对光传输系统的特点与要求,基于有限域提出了一种新颖的扩展非规则重复累积准循环低密度奇偶校验码(eIRA-QC-LDPC)构造方法,该构造方法可根据实际需要灵活地调整码长码率,利用此方法构造了一种码率为0.937的novel-eIRA-QC-LDPC(4 599,4 307)码。仿真结果表明:在误码率(BER)为10-7且码率均为0.937的情况下,该novel-eIRA-QC-LDPC(4 599,4 307)码比ITU-T G.975中RS(255,239)码和ITU-T G.975.1中LDPC(32 640,30 592)码的净编码增益(NCG)分别改善了约2.13和1.33dB,比用SCG构造方法构造的SCG-eIRA-LDPC(3 717,3 481)码和基于阵列码构造方法构造的Array-eIRA-QC-LDPC(4 560,4 275)码的净编码增益分别提高了约0.24和0.41dB,距离香农限约1.07dB。因而该构造方法所构造的eIRA-QCLDPC码具有更好的纠错性能,更适合高速长距离的光传输系统。
Aiming at the characteristics and requirements of optical transmission system, a novel eIRA-QC-LDPC method based on finite field is proposed. The proposed method can be flexibly implemented according to actual needs By adjusting the code length, a novel-eIRA-QC-LDPC (4 599,4 307) code with a bit rate of 0.937 is constructed. The simulation results show that the novel-eIRA-QC-LDPC (4 599, 4 307) codes have a better performance than the RS-T G.975 in the case of a BER of 10-7 and a bit rate of 0.937 (255,239) codes and the net coding gain (NCG) of LDPC (32 640,30 592) codes in ITU-T G.975.1 improved by about 2.13 and 1.33dB, respectively, compared with that of SCG-eIRA-LDPC 3 717,3 481) codes and the Array-eIRA-QC-LDPC (4 560,475) codes constructed based on the array code construction method increase the net coding gain by about 0.24 and 0.41 dB respectively, and are only about 1.07 dB away from Shannon. Therefore, the eIRA-QCLDPC code constructed by the construction method has better error correction performance and is more suitable for a high-speed and long-distance optical transmission system.