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Improved lms adaptive algorithm with varying stepsize

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Chinese Science Bulletin 1996年第18期41卷 1568-1571页

作者：朱贤阳李敬任朗汪文秉 Institute of Electromagnetic Theory & Microwave Technology Southwest Jiaotong UniversityChengdu 610031 China Department of Information & Control Engineering Xi'an Jiaotong University Xi'an 710049 China

In the field of system identification, the coefficients of a digital filter, which are used to illustrate the transfer function of a system, are often fixed by known input and output signal sequences. The least mean square (lms) adaptive algorithm is often used for its small computational requirement and convergence ***, the input or the output signal sequence often contains directive current (DC) components. What is the effect of the DC component upon the adaptive algorithm? This is just the main objective of this note. Here we propose an improved lms adaptive algorithm with varying stepsize, which is based on the DC components analyzing.

关键词： lms adaptive algorithm system identification directive currents.

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

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Science in China(Series F) 2004年第2期47卷 151-160页

作者： GUYuantao TANGKun CUIHuijuan StateKeyLaboratoryonMicrowaveandDigitalCommunications DepartmentofElectronicsEngineeringTsinghuaUniversityBeijing100084China

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.

关键词： adaptive filtering lms superior step-size theorem parallel variable step-size lms filters algorithm.

An improved lms algorithm for mode demultiplexing in frequency domain

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Optoelectronics Letters 2021年第3期17卷 155-159页

作者： LI Li LüLin-lin HAN Li College of Communication Engineering Jilin UniversityChangchun 130012China College of Physics Jilin UniversityChangchun 130012China

In order to solve the problem that the traditional frequency domain least mean square(FD-lms) algorithm will lose efficacy with the increase of differential mode group delay(DMGD) when the algorithm is used for demultiplexing of the 6×6 mode division multiplexing(MDM) system, an improved FD-lms demultiplexing algorithm is proposed. By improving the error signal calculation method, the convergence performance of the output signal of the equalization filter is improved, and the steady-state error of the algorithm is reduced. Besides, the equalization performance of the traditional FD-lms algorithm is compared with the improved FD-lms algorithm. Simulation results show that the improved FD-lms algorithm has great advantage over the traditional FD-lms algorithm in demultiplexing performance on the premise that the computation complexity does not significantly increase. The optical signal to noise ratio(OSNR) penalty of the improved FD-lms algorithm is 2.6 dB lower than that of traditional FD-lms algorithm at a transmission distance of 80 km with DMGD is 50 ps/km.

关键词： lms mode OSNR

lms ADAPTIVE TIME DELAY ESTIMATION WITH TWO WINDOWS

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Journal of Electronics(China) 1995年第2期12卷 134-141页

作者：邱天爽王宏禹 Dalian University of Technology Dalian 116023

An lms adaptive time delay estimation method with two windows is presented. This method can reduce the superfluous calculation greatly when the time of correlation is long. It is suitable for the time delay estimation... 详细信息

关键词： Adaptive time delay estimation Two windows lms

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

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Science in China(Series F) 2003年第6期46卷 409-419页

作者：谷源涛唐昆崔慧娟杜文 State Key Laboratory on Microwave and Digital Communications Department of Electronics EngineeringTsinghua UniversityBeijing 100084China

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.

关键词： lms OVS-lms variable step-size optimal step-size theorem.

lms和归一化lms算法收敛门限与步长的确定

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电子与信息学报 2003年第11期25卷 1469-1474页

作者：曾召华刘贵忠赵建平西安交通大学电信学院西安710049 中兴通讯股份有限公司西安研究所西安710065

从 lms算法失调量的准确表达式出发,根据输入信号特征值分布重新研究了 lms,归一化lms(Normalized lms,Nlms)算法收敛的必要条件,推导出 lms和 Nlms 算法收敛的步长门限,并分析了输入信号特征值分布、滤波器阶数对算法收敛步长门限的影... 详细信息

从 lms算法失调量的准确表达式出发,根据输入信号特征值分布重新研究了 lms,归一化lms(Normalized lms,Nlms)算法收敛的必要条件,推导出 lms和 Nlms 算法收敛的步长门限,并分析了输入信号特征值分布、滤波器阶数对算法收敛步长门限的影响,推导出满足性能失调下步长的自适应计算公式,减小了应用 lms,Nlms算法时步长选取的盲目性,与已有的算法相比,具有计算简单、实用、自适应性能强,同时可获得满意失调量的特点,计算机模拟结果表明该方法的正确性。

关键词： lms 归一化lms算法收敛门限步长输入信号特征值

基于xPC快速原型的lms算法在道路模拟振动台中的应用

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农业工程学报 2010年第5期26卷 142-147页

作者：吕梅蕾徐梓斌浙江工业大学浙西分校信息与电子工程系衢州324000 浙江树人大学现代教育技术中心杭州310015

针对道路模拟振动台加速度波形复现跟踪精度较差的问题,提出了基于lms(least mean square)自适应滤波算法作为道路模拟振动台的伺服控制系统的前馈环节,lms自适应算法通过调节有限长冲击响应FIR数字滤波器的权值,也即调节前馈控制器的参... 详细信息

针对道路模拟振动台加速度波形复现跟踪精度较差的问题,提出了基于lms(least mean square)自适应滤波算法作为道路模拟振动台的伺服控制系统的前馈环节,lms自适应算法通过调节有限长冲击响应FIR数字滤波器的权值,也即调节前馈控制器的参数,以提高加速度波形复现的精度。对单通道道路模拟振动台进行数学建模,并采用PID和lms两种控制器对控制系统进行了设计与仿真。仿真结果表明,自适应滤波算法lms跟踪精度远远高于传统的PID控制器,并且具有在线调节FIR滤波器权值的优点。最后,采用xPCTarget快速原型软件进行了试验验证,试验结果表明,基于lms控制策略提高了道路模拟振动台加速度波形复现的精度,利用所提出的控制策略可以成功地进行道路模拟加速度波形复现试验。

关键词：算法实时控制动力学模型 lms 道路模拟振动台仿真

电缆热路模型特征参数基于lms的实验分析方法研究

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太阳能学报 2017年第6期38卷 1606-1611页

作者：曾强肖继学廖旋董圣友李海军王泽西华大学机械工程学院成都610039 四川省工业设备安装公司成都610031

基于lms提出一种精确获取电缆热路模型中热特征参数的实验分析方法。利用6942XL型电缆、Pico温度采集系统、逆变系统、电阻性负载系统构建实验平台。在Matlab集成开发环境中分别基于该实验分析方法、IEC方法计算出实验用电缆的热特征参... 详细信息

基于lms提出一种精确获取电缆热路模型中热特征参数的实验分析方法。利用6942XL型电缆、Pico温度采集系统、逆变系统、电阻性负载系统构建实验平台。在Matlab集成开发环境中分别基于该实验分析方法、IEC方法计算出实验用电缆的热特征参数,以估计电缆内部各层温度的方式,探讨该实验方法的电缆热特征参数的分析精度。实验结果表明,该实验法可有效获取电缆的热特征参数,其精度高于传统的IEC法。

关键词：电缆热路模型特征参数温度 lms

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基于lms自适应滤波的汽车主动悬架研究

振动与冲击 2004年第4期23卷 139-142页

作者：孙建民柳贡民天津大学机械学院天津300072 哈尔滨工程大学动力与核能工程学院哈尔滨150001

针对简化的车辆模型 ,确定汽车簧上质量的加速度、车轮与地面间的动载荷以及车身的动挠度为悬架系统性能评价指标。将lms自适应滤波算法与广义自适应控制相对比 ,仿真计算表明 ,lms自适应控制策略不仅计算简单 ,而且性能指标明显优于广... 详细信息

针对简化的车辆模型 ,确定汽车簧上质量的加速度、车轮与地面间的动载荷以及车身的动挠度为悬架系统性能评价指标。将lms自适应滤波算法与广义自适应控制相对比 ,仿真计算表明 ,lms自适应控制策略不仅计算简单 ,而且性能指标明显优于广义自适应控制方法。

关键词：主动悬架汽车悬架系统车身车辆模型动挠度车轮 lms 自适应滤波算法性能指标