引用范数的双曲正切函数变步长LMS算法  

Variable Step LMS Algorithm Using Norm of the Hyperbolic Tangent Function

作　　者：还秋云[1] 邱晓晖[1] 刘晓飞[2] 

机构地区：[1]南京邮电大学通信与信息工程学院,南京210003 [2]苏州中科集成电路设计中心,苏州215000

出　　处：《信号处理》2014年第1期93-99,共7页Journal of Signal Processing

基　　金：江苏省自然科学基金(BK2011789)资助课题

摘　　要：传统LMS算法的特点是计算简单,易于实现,但是性能方面存在收敛速度和稳态均方误差的矛盾。为了解决这个矛盾,提出一种引用范数的双曲正切函数变步长最小均方误差(HT-VSS)LMS算法,通过理论分析和实验仿真,从收敛速度、跟踪性能、稳态均方误差以及抗干扰性能等四个方面展开,其他变步长LMS算法进行比较。实验表明,不管在高信噪比还是低信噪比的情况下,本文算法性能优于其他变步长算法,即能同时获得较快的收敛速度、跟踪性能以及较小稳态均方误差。Traditional LMS algorithm not only has simple calculation, but also is easy to implement. But Traditional LMS algorithm has the contradiction between convergence speed and steady-state mean square error in performance. A variable step size least mean square （LMS） algorithm, which is based on hyperbolic tangent function of using norm, has been pro- posed to solve this problem. During the experiment, the convergence rate, tracking performance, steady-state mean square error and anti-jamming performance has become the four main research aspects, with the help of theoretical analysis and ex- perimental simulation. Also, the novel algorithm is compared with other variable step size LMS algorithm. Simulation re- sults show that the proposed algorithm is superior to other variable step size algorithm during the above aspects, in the case of a high signal-to-noise ratio or low signal-to-noise ratio.

关 键 词：最小均方算法 变步长 信道均衡 自适应 

分 类 号：TN911[电子电信—通信与信息系统]