光子学报, 2012, 41 (3): 277, 网络出版: 2012-03-30  

基于MMSE的大气激光通信中LDPC码BP译码算法研究

Optimization of Two BP-based Decoding Algorithms for LDPC Codes Based on MMSE Criterion under Weak Turbulence Channel
作者单位
1 脉冲功率激光技术国家重点实验室(电子工程学院),合肥 230037
2 安徽电子制约技术重点实验室,合肥 230037
摘要
针对大气激光通信中低密度奇偶校验码(LDPC)置信传播(BP)译码算法复杂度高的问题,对几类BP-Based简化译码算法进行了分析,并基于最小均方误差准则(MMSE)对Scaled BP-Based和Offset BP-Based两类改进译码算法的优化设计进行了探讨,得出两类算法的最优校正因子,并给出了数值计算.在不同的湍流强度下,对码长1008的(6,3)比特填充LDPC码进行了仿真实验,结果表明,对于短码长的LDPC码,当译码BER=10-5时, 最小和算法(UMP BP-Based)相对于BP算法有0.1~0.15 dB的译码性能损失;基于MMSE设计的两类算法相比BP算法大大降低复杂度的同时,译码性能与BP算法相当,甚至优于BP算法,优于UMP BP-Based算法0.075~0.15 dB.
Abstract
Due to high complexity of Belief Propagation(BP) algorithm, several kind of BP-based simplified decoding algorithms are analyzed. Based on the Minimum Mean Square Erro(MMSE) criterion, optimal design of the scaled BP-based and offset BP-based algorithms is discussed. The theoretical formulas and numerical calculations on the optimal factors for these two BP-based algorithms are provdied. The simualtion resutls for the (6,3)regualr LDPC codes of lengths 1008 on the weak atmospheric turbulence channel demonstrate that the scaeld BP-based and offset BP-based aglorithms with the proposed factors are better than Min-Sum Algorithm, and even can achieve the performance better than that of the BP algorithm,and have lower complexity compared with BP algortihm.

冷蛟锋, 郝士琦, 吕旭光, 周建国, 赵楠翔. 基于MMSE的大气激光通信中LDPC码BP译码算法研究[J]. 光子学报, 2012, 41(3): 277. LENG Jiao-feng, HAO Shi-qi, L Xu-guang, ZHOU Jian-guo, ZHAO Nan-xiang. Optimization of Two BP-based Decoding Algorithms for LDPC Codes Based on MMSE Criterion under Weak Turbulence Channel[J]. ACTA PHOTONICA SINICA, 2012, 41(3): 277.

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