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针对光通信系统传输特性要求的日益提高,基于有限域GF(q)加群提出了一种构造简单且适合光通信系统的新颖准循环低密度奇偶校验(QC-LDPC)码构造方法,该构造方法可灵活的调整码长、码率且其编译码复杂度低。用此方法构造了适用于光通信系统的规则QC-LDPC(4599,4307)码。仿真结果表明,在BER=10-7时且码率均为93.7%的情况下,所构造的QC-LDPC(4599,4307)码的净编码器增益(NCG)比已广泛应用于光通信系统中的经典RS(255,239)码提高了约2.2dB,比用SCG构造方法构造的SCG-LDPC(3969,3720)码和非规则的QC-LDPC(3843,3603)码的NCG分别提高了约0.47dB和0.25dB,距离香农限约1dB。因而其纠错性能更强,更适用于高速长距离光通信系统。
In order to improve the transmission characteristics of optical communication systems, a novel quasi-cyclic low-density parity-check (QC-LDPC) code construction method with simple structure and suitable for optical communication system is proposed based on the finite field GF (q) The construction method can flexibly adjust the code length and the code rate, and the complexity of coding and decoding is low. In this way, a regular QC-LDPC (4599,4307) code suitable for optical communication system is constructed. The simulation results show that the net encoder gain (NCG) ratio of the constructed QC-LDPC (4599, 4307) codes is widely used in the optical communication system when BER = 10-7 and the code rates are both 93.7% The classic RS (255,239) code in the improved SCG-LDPC code is about 2.2dB higher than that of the SCG-LDPC code (3969,3720) and the non-regular QC-LDPC code (3843,3603) dB and 0.25dB, Shannon limited about 1dB. So its error correction performance is stronger, more suitable for high-speed long-distance optical communication system.