快衰落Rayleigh信道下短LDPC码两类BP-Based译码的优化设计
doi: 10.3724/SP.J.1146.2005.01610
Optimization of Two BP-Based Decoding Algorithms for Short LDPC Codes on Fast Rayleigh Fading Channel
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摘要: 该文基于最小均方误差(MMSE)准则，对快衰落瑞利(Rayleigh)信道下短码长低密度校验(LDPC)码的Scaled BP-Based和Offset BP-Based两类改进译码算法进行了优化设计。利用该准则，得出了两类改进算法的最优校正因子，并给出了相应的数值计算。对码长为504和1008的1/2码率(3,6)规则LDPC码实验仿真显示，使用该准则设计的两类算法能够取得优于置信传播(BP)算法的译码性能。Abstract: By using the Minimum Mean Square Error (MMSE) criterion, the design of two improved Belief Propagation (BP)-based, i.e., the scaled BP-based and offset BP-based algorithms is presented, for decoding of short Low-Density Parity-Check (LDPC) codes on the fast Rayleigh fading channel. Based on the MMSE criterion, theoretical formulas and numerical calculations on the optimum factors for these two BP-based algorithms are provided. The simulation results for the (3,6) regular LDPC codes of lengths 504 and 1008 on the fast Rayleigh fading channel demonstrate that the scaled BP-based and offset BP-based algorithms with the proposed factors can achieve the performance better than that of the BP algorithm.
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