IP电话回声消除LMS改进算法的研究

针对传统LMS算法运算量大收敛性能差的缺点,提出了一种减小运算量并且提高收敛性能的LMS自适应滤波算法.首先从理论上介绍并分析了两种自适应滤波算法--量化误差算法(运算量小)和变步长算法(收敛速度快),接着将这两种算法的优点有机结合,提出了一种改进算法.通过在MATLAB下的辨识仿真研究和对误差曲线的分析,证明了结合后的改进算法在运算量和收敛速度方面都优于传统LMS算法.算法对于IP电话中回声消除的自适应滤波问题提供了一个较好的算法.     

模糊步长的RAKE接收机仿真研究

研究无线通信中多路径传播优化信号质量问题,针对传统的RAKE接收机需要通过增加分支来提高系统性能,提出了一种模糊步长LMS算法的自适应RAKE接收机,采用对抽头延迟线的权值进行自适应调整的方法可以有效地合并多径信号,克服多径干扰,并且消除信号间的干扰和噪声.对LMS算法的步长进行了改进,提出一种新的模糊步长的方法,以便提高LMS算法的收敛速度和降低稳态误差.在MATLAB上进行仿真.仿真结果表明,模糊步长的RAKE接收机性能优于传统的RAKE接收机性能.     

一种新的变步长频域块LMS算法

针对现有直接序列扩频（DSSS）通信抗干扰系统中的传统频域块最小均方误差（FBLMS）算法在收敛速度和稳态误差之间存在矛盾的问题,提出了一种新的变步长算法--VSS-FBLMS算法,该算法通过输出信号中剩余干扰所占整体噪声信号的比例来调节变步长因子,步长因子随着干扰的被滤除而逐渐减小,使得DSSS通信抗干扰系统获得更好的抑制干扰效果。首先对传统FBLMS算法的DSSS抗干扰系统进行了介绍,然后对提出的VSS-FBLMS算法进行分析,最后将新算法和传统算法加入DSSS通信抗干扰系统中进行仿真对比。理论分析和仿真结果表明,VSS-FBLMS算法不仅可以有效滤除窄带干扰,而且抗干扰性能优于传统FBLMS算法,收敛速率和稳态误差也都优于传统FBLMS算法。     

基于变步长因子的改进LMS算法

自适应滤波在生活中有非常广泛的应用,对于未知信号的滤波效果非常显著,本文主要对常规的LMS自适应滤波算法进行改进.常规的LMS算法由于步长因子是固定的,不能同时满足滤波的收敛速度、稳态误差和初始噪声的有效滤除等性能要求.针对上述问题,本文提出了一种改进型LMS算法,改进型LMS算法是通过提出误差因子这一概念,利用误差因...     

一种新的LMS自适应滤波算法分析仿真研究

传统变步长最小均方(LMS)算法存在收敛速度慢、易受噪声干扰等缺点,为了提高算法的性能,通过对变步长LMS算法进行分析研究,在步长因子x(n)与误差信号e(n)的相关统计量之间建立一种新的非线性函数关系,提出了一种新的变步长LMS自适应滤波算法。该算法采用误差信号的自相关时间均值来调节步长,并用绝对估计误差的扰动量以加快自适应滤波器抽头权向量的收敛。理论分析与计算机仿真结果表明:与SVSLMS和G-SVSLMS算法比较,该算法具有较快的收敛速度、较小的稳态误差以及较强的抗干扰能力。     

基于辨识新算法的电子对抗系统干扰对消

收发同时的电子对抗系统常存在隔离问题,采用自适应滤波器对干扰耦合通路进行辨识,消除接收端耦合干扰,能够有效实现收发隔离.考虑到实际侦察接收机接收的雷达信号、接收机内部引入的噪声信号、发射机和接收机微波放大部分的非线性,因素严重影响自适应滤波器的性能.针对上述情况,给出一种平滑梯度估计的变步长最小均方(least mean square,LMS)算法.仿真结果表明,改进算法同传统变步长LMS算法相比具有相近的收敛速度,但在对抗接收机复杂信号环境上具有显著的优越性能.     

正比例扩展相关LMS算法

传统的回声消除系统无法在嘈杂的双工环境下工作.由于双工信号的干扰,误差信号不能正确地指导滤波器系数的更新.本文中提出了一种基于相关函数的自适应滤波算法,扩展型相关函数LMS(ECLMS)算法.计算机仿真结果显示E-CLMS算法的表现要优于传统LMS算法.然而,ECLMS的收敛速度仍然不能令人满意.为了提高ECLMS算法的收敛速度,本文推出了一种新的正比例步长调整算法,针对自适应滤波器系数的每一个抽头,提供一个合理的步长调整参数.计算机仿真结果证实了正比例扩展相关LMS算法理论的正确性.     

基于双曲函数的变步长LMS算法及其分析

提出一种基于双曲函数的变步长最小均方(LMS)算法.通过对双曲余弦函数进行数学变换,建立起误差信号与步长因子的LMS算法,根据误差信号的变化来自动调节步长的大小.仿真结果证明:所提出的LMS算法比标准的LMS算法有着更快的收敛速度等优点.     

一种改进的LMS算法及其在噪声对消中的应用

在分析传统定步长LMS(Least Mean Square)算法和变步长LMS算法的基础上,提出了一种改进的变步长LMS算法.新算法利用瞬时误差绝对值三次方的指数形式和遗忘因子同时调整步长,更好地解决了收敛速度和稳态误差的矛盾.将三种算法均用到噪声对消中进行比较,仿真结果表明:新算法收敛速率优于传统定步长LMS算法和变步长LMS算法.     

动量滤波-eLMS算法及其性能分析

针对有源噪声控制中滤波-e LMS(最小均方算法)算法收敛速度慢,收敛步长取值范围小及受参考信号自相关矩阵特征值分散程度影响较大的缺点,提出一种改进的滤波-e LMS箅法一动量滤波-e LMS算法.算法在滤波-e LMS算法的基础上,结合动量LMS算法,在权系数更新迭代时引入一个动量项,此动量项包含了先前梯度的估计值.理论推导证明算法不仅可以加快系统的收敛速度还可以扩大收敛因子的取值范围.仿真结果表明,动量滤波-e LMS算法具有收敛速度快、稳态误差小的优点.还讨论了算法中不同动量因子对算法收敛性能的影响,确定了它们的最优取值范围.     

一种新的变步长自适应滤波算法研究

针对滤波器在亚模型(under-modeling)工作状态下定步长自适应算法收敛速度和稳态误差之间的矛盾,提出一种变步长分割式比例仿射投影算法(VSS-SPAPA)。该算法考虑到系统干扰噪声和滤波器权系数个数小于回声路径长度时引起的亚模型噪声对回声消除系统性能的影响,利用后验误差去补偿这两类噪声的负面作用,建立一个新的目标函数,根据该目标函数,导出一种适用于比例仿射投影算法整体步长的调节方法。仿真结果表明:在增加少量计算量的情况下,新算法的收敛速度和稳态性能与定步长比例仿射投影算法以及已有变步长算法相比得到了明显提高。     

A variable step-size selective partial update LMS algorithm

Selective partial update of the adaptive filter coefficients has been a popular method for reducing the computational complexity of least mean-square (LMS)-type adaptive algorithms. These algorithms use a fixed step-size that forces a performance compromise between fast convergence speed and small steady state misadjustment. This paper proposes a variable step-size (VSS) selective partial update LMS algorithm, where the VSS is an approximation of an optimal derived one. The VSS equations are controlled by only one parameter, and do not require any a priori information about the statistics of the system environment. Mean-square performance analysis will be provided for independent and identically distributed (i.i.d.) input signals, and an expression for the algorithm steady state excess mean-square error (MSE) will be presented. Simulation experiments are conducted to compare the proposed algorithm with existing full-update VSS LMS algorithms, which indicate that the proposed algorithm performs as well as these algorithms while requiring less computational complexity.     

Optimal variable step-size LMS model and algorithm with independence assumption

To solve the contradiction between convergence rate and steady-state error in least mean square (LMS) algorithm, basing on independence assumption, this paper proposes and proves the optimal step-size theorem from the view of minimizing mean squared error (MSE). The theorem reveals the one-to-one mapping between the optimal step-size and MSE. Following the theorem, optimal variable step-size LMS (OVS-LMS) model, describing the theoretical bound of the convergence rate of LMS algorithm, is constructed. Then we discuss the selection of initial optimal step-size and updating of optimal step-size at the time of unknown system changing. At last an optimal step-size LMS algorithm is proposed and tested in various environments. Simulation results show the proposed algorithm is very close to the theoretical bound.     

A unified framework for adaptive filter algorithms with variable step-size

Employing a recently introduced framework within which a large number of classical and modern adaptive filter algorithms can be viewed as special cases, we extend this framework to cover block normalized LMS (BNLMS) and normalized data reusing LMS (NDRLMS) adaptive filter algorithms. Accordingly, we develop a generic variable step-size adaptive filter. Variable step-size normalized LMS (VSSNLMS) and VSS affine projection algorithms (VSSAPA) are particular examples of adaptive algorithms covered by this generic variable step-size adaptive filter. In this paper we introduce two new VSS adaptive filter algorithms named the variable step-size BNLMS (VSSBNLMS) and the variable step-size NDRLMS (VSSNDRLMS) based on the generic VSS adaptive filter. The proposed algorithms show the higher convergence rate and lower steady-state mean square error compared to the ordinary BNLMS and NDRLMS algorithms.     

Superior step-size theorem and its application

With independence assumption, this paper proposes and proves the superior step-size theorem on least mean square (LMS) algorithm, from the view of minimizing mean squared error (MSE). Following the theorem we construct a parallel variable step-size LMS filters algorithm. The theoretical model of the proposed algorithm is analyzed in detail. Simulations show the proposed theoretical model is quite close to the optimal variable step-size LMS (OVS-LMS) model. The experimental learning curves of the proposed algorithm also show the fastest convergence and fine tracking performance. The proposed algorithm is therefore a good realization of the OVS-LMS model.     

Superior step-size theorem and its application-Parallel variable step-size LMS filters algorithm

With independence assumption, this paper proposes and proves the superior step-size theorem on least mean square (LMS) algorithm, from the view of minimizing mean squared error (MSE). Following the theorem we construct a parallel variable step-size LMS filters algorithm. The theoretical model of the proposed algorithm is analyzed in detail. Simulations show the proposed theoretical model is quite close to the optimal variable step-size LMS (OVS-LMS) model. The experimental learning curves of the proposed algorithm also show the fastest convergence and fine tracking performance.The proposed algorithm is therefore a good realization of the OVS-LMS model.     

Superior step-size theorem and its application——Parallel variable step-size LMS filters algorithm

In several branches of adaptive filtering algorithms, the least mean square (LMS) algorithm is widely applied in many areas because of its low computational cost, good numerical stability and other features[1]. However, the contradiction between faster convergence and smaller steady-state mean squared error (MSE) affects its performance considerably. Step-size, as the key to the problem, can but offer only one choice of the two demands. Therefore, many variable step-size algorithms were prop…     

一种改进的变步长LMS自适应算法及分析

现有的变步长LMS算法中,大都采用建立步长因子与误差信号的函数关系的方法,以提高算法的收敛速度和跟踪性能,但由于未考虑输入信号对算法性能的影响,使得当输入信号发生变化后,稳态误差明显增大。为此,在现有算法的基础上,引入了输入信号因子,提出了一种改进算法。该算法可根据瞬时误差和输入信号来调整步长因子,使算法不仅能保持较高的收敛速度和跟踪性能,还可在输入信号变化的情况下,保证较小的稳态误差。理论分析及仿真实验表明新算法的性能优于现有算法。     

改进的变步长频域批处理LMS算法

现有的单载波频域均衡技术中的定步长频域批处理LMS（Frequency-Domain Block Least Mean Square,FBLMS）算法,在收敛速度和稳态误差之间存在矛盾。针对这个问题,基于对变步长LMS算法的研究分析,提出了一种新的改进的变步长频域批处理LMS自适应滤波算法,通过变步长因子以及频域权系数抽头泄漏能很好地协调收敛速度和稳态误差之间的矛盾,并且还具有较低的算法复杂度的特点。通过Matlab对提出的新算法进行计算机仿真验证,结果表明该算法有较好的收敛速度和较小的稳态误差。     

步长随输入信噪比变化的LMS算法

介绍了归一化最小均方误差(LMS)算法,分析了它在平稳环境噪声下步长不能自动调整的弊端。然后提出了步长随输入信噪比变化的LMS算法,分析了步长调整规律。根据该算法在噪声抵消的起始阶段收敛性能差并可能出现发散的现象,对该算法进行了修正,即在起始阶段采用归一化LMS算法,之后利用步长随信噪比变化的LMS算法。通过对语音信号的消噪仿真,表明修正的步长随输入信噪比变化的LMS算法收敛性能好,输出信号的信噪比有了较大的提高。