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该文提出了基于LDPC-BCH网格的低码率编译码方法。该方法采用非系统BCH码约束替换常规LDPC网格中的奇偶校验码约束来扩展校验序列,以较低复杂度实现了低码率编码。同时,在LDPC-BCH网格迭代译码中提出了一种基于快速BCH变换的最大后验概率译码算法,有效降低了BCH校验节点的运算复杂度。仿真表明:该编译码算法在输出误码率为1×10-7的条件下,与传统的LDPC编码加扩频传输体制相比,在编码效率为1/6时可获得0.7dB链路增益,在编码效率降低为1/12时增益提升至1.0dB。
This paper presents a low bit rate coding and decoding method based on LDPC-BCH grid. This method uses the non-systematic BCH code to replace the parity-check code constraint in the conventional LDPC grid to extend the check sequence, and low code rate coding with lower complexity. At the same time, a new iterative decoding algorithm based on fast BCH transform is proposed in LDPC-BCH iterative decoding, which reduces the computation complexity of BCH check nodes. The simulation results show that the proposed algorithm can achieve 0.7dB link gain at a coding efficiency of 1/6 compared with the traditional LDPC coding and spread spectrum transmission system at the output bit error rate of 1 × 10-7 , The gain is improved to 1.0dB when the encoding efficiency is reduced to 1/12.