光学学报, 2013, 33 (9): 0906011, 网络出版: 2013-08-08  

光通信信道电域盲均衡的脊回归方法

Ridge Regression Approach of Electrical Blind Equalization for Optical Communication Channel
作者单位
1 温州大学物理与电子信息工程学院, 浙江 温州 325035
2 温州大学激光与光电子技术研究所, 浙江 温州 325035
摘要
为了避免传统最小均方/最小二乘(LMS/LS)盲均衡方法的系数矩阵病态问题、减少最小均方(LMS)和最小二乘(LS)方法对数据长度的严重依赖,提出一种基于脊回归(RR)方法的光通信系统电域盲均衡算法。通过RR盲均衡代价函数的构建,盲均衡问题转化为求解无约束优化问题并完成求取均衡器的数学推演。分析了该算法的复杂度和脊参数对于代价函数及其性能的影响,构造批处理形式迭代算法求解该优化问题。该方法可将多进制相移键控(MPSK)和正交幅度调制(QAM)系统盲均衡问题纳入统一的框架。最后,通过仿真验证了新方法在性能上优于传统LMS/LS类盲均衡算法。
Abstract
To avoid the coefficient matrix ill-conditioned problem, and reduce the heavily reliance on data length of those least mean square/least square (LMS/LS) blind equalization algorithms, a novel electrical blind equalization algorithm of optical communication systems is presented by using ridge regression(RR) approach. By constructing a novel cost function of RR blind equalization, the blind equalization problems are transformed into solving an unconstrained optimization problem and the process of how to get the equalizer is shown. Meantime, a batch processing iterative method is constructed to solve this special optimization problem. Then the influence of ridge factor λ value of RR blind equalization algorithm and the algorithm complexity on the cost function and its property are analyzed. The proposed approach can place M-ray phase shift keying (MPSK) and quadrature amplitude modulation (QAM) modulation modes in a single, unified algorithm framework. Finally, simulation results verify that the performance of the proposed algorithm is superior to those existing LMS/LS blind equalization algorithms.

阮秀凯, 张耀举, 谈燕花, 吴平. 光通信信道电域盲均衡的脊回归方法[J]. 光学学报, 2013, 33(9): 0906011. Ruan Xiukai, Zhang Yaoju, Tan Yanhua, Wu Ping. Ridge Regression Approach of Electrical Blind Equalization for Optical Communication Channel[J]. Acta Optica Sinica, 2013, 33(9): 0906011.

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