高斯近似法下LDPC码Tanh法则优化近似新方法  

New Approach to Optimal Approximation of Tanh Rule for LDPC Codes under the Gaussian Approximation

作　　者：郑贺[1] 胡捍英[1] 周华莹[2] 

机构地区：[1]信息工程大学通信工程系,郑州450002 [2]西南电子电信技术研究所,成都610041

出　　处：《电子与信息学报》2006年第10期1837-1841,共5页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(60472064)资助课题

摘　　要：该文利用高斯近似法,提出一种基于最小均方误差(MMSE)准则的Tanh法则优化近似新方法。提出反对称分布与同构广义对称分布新概念,推导出同构广义对称分布条件下若干重要结论,并给出Tanh法则最优近似式的计算实现方法。加性高斯白噪声(AWGN)信道下,对一系列(3,6)规则低密度校验(LDPC)码的实验仿真显示,与传统Hagenauer近似法相比,该最优近似方法在不明显增加译码复杂度前提下,对LDPC码译码性能够带来一定改善。In this paper, a new approach is presented for optimizing the approximation of tanh rule based on Minimum Mean Square Error （MMSE） criterion under the Gaussian approximation. New concepts of anti-symmetric distribution and isomorphic generalized symmetric distribution are introduced. Under the isomorphic generalized symmetric distribution, several useful conclusions are drawn, by which a practical method for computing the optimal approximation is also presented. In comparison with the conventional approximation presented by Hagenauer, simulation results for several （3,6） regular Low-Density Parity-Check （LDPC） codes on the Additive White Gaussian Noise （AWGN） channel show that the approach can improve the decoding performance with a little increase in decoding complexity.

关 键 词：LDPC码 Tanh法则 和积算法 高斯近似法 MMSE准则 

分 类 号：TN911.22[电子电信—通信与信息系统]