基于指数函数的归一化变步长LMS算法

在研究归一化最小均方误差(NLMS)算法的基础上,提出一种基于指数函数的变步长LMS算法。通过建立误差 和步长 的函数关系,实时调整步长,并对输入信号完成时域信号解相关,解决稳态失调系数与收敛速度的矛盾。仿真实验结果证明,该算法与传统LMS算法、SVS_LMS算法、NLMS算法以及双曲正切变步长LMS算法相比,具有更高的收敛速度和较小的稳态失调系数。     

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。     

一种解相关变步长归一化LMS自适应算法

本文对变步长（VSS）自适应滤波算法进行了分析,针对输入信号高度相关时算法收敛速度下降导致性能下降的问题,提出了一种解相关变步长归一化LMS自适应算法,引入相关性原理,使得算法保持良好的收敛性能。计算机仿真结果与理论分析相一致。     

基于谱减和LMS的自适应语音增强

针对宽带噪声背景下的语音增强问题,将短时语音视为非平稳或宽平稳信号,基于谱减法和自适应滤波的最小均方（LMS）算法,提出了一种FIR型自适应滤波算法（SSLMS）：用减谱法由短时噪声观测语音估计期望信号,作为滤波器输出信号的参考信号;用滤波器的输出与参考信号的差值为误差信号,用LMS算法求得滤波器权系数修正量,并修正滤波器。权系数最速下降调整中,采用了归一化LMS、符号LMS、块LMS技术,以简化保证权系数收敛的步长选择、减少权系数修正的运算量,从而提高自适应速度。对不同的语音在各种信噪比下仿真实验,并与改进的谱减法比较,结果表明,该法增强效果优于谱减法;在信噪比为3 dB时该法的增强效果仍然令人满意。     

一种基于改进双曲正切函数的变步长自适应滤波算法

摘 要：为了改进现有变步长LMS（least mean square）算法性能方面存在的缺陷,提出一种改进的变步长谐波检测算法。该算法在原有双曲正切函数的基础上引入包含输入信号的因子 ,跟踪输入信号变化,以便分析算法性能,提高其抗干扰能力;并采用增加补偿项来确保算法的收敛速度;同时将步长迭公式中固定约束范围转变为动态范围,使步长变化相对平滑,稳态失调相对较小;最后利用归一化的处理方法改进权值公式,增大输入信号的动态范围。仿真结果表明,新算法在收敛速度、跟踪能力、抗干扰能力、稳态误差等方面较现有的变步长谐波检测算法有较大提高,是一种可行、有效、具有一定工程应用价值的算法。     

变步长解相关Volterra LMS算法

Volterra滤波器的非线性使输入向量自相关矩阵包含了输入信号的高阶统计量,导致矩阵特征值扩展很大,因此LMS算法收敛速度一般很慢。从降低输入信号的相关性出发,提出了一种变步长解相关Volterra NLMS算法。解相关能显著加快LMS算法的收敛速度,变步长能够改善算法的稳态性能,两者的有机结合,能明显改善算法性能。仿真结果表明,在不同输入信号相关性情况下,该算法有更好的收敛速度和稳态性能。     

低信噪比下基于新型变步长LMS的自适应滤波算法

为了提高现有的变步长LMS算法在低信噪比环境下的滤波性能,提出了一种新的变步长LMS自适应滤波算法。该算法利用加入补偿项的误差相关值估计与前一时刻步长因子的组合来调节步长,提高算法的抗噪声干扰能力和收敛速度;并将步长因子的传统固定约束范围改为动态约束范围,使步长变化趋于平滑,降低系统的失调误差;同时对系统的权向量迭代公式进行更新,提高了算法的输入范围。从理论分析和仿真实验两方面可以看出,新算法与现有的变步长算法及标准LMS算法相比,在信噪比较低的条件下收敛速率、抗扰能力、稳态失调噪声方面都有很大的改善,证明所提算法是有效、可行的。     

变步长LMS自适应滤波算法的改进及分析

在对传统LMS算法、变步长LMS算法及其改进算法分析的基础上,提出了一种改进的变步长LMS算法。新算法通过建立步长因子与误差信号之间的非线性函数关系,使其初始阶段和时变阶段步长自适应增大和稳态阶段步长很小,具有收敛速度快,稳态误差小,迅速跟踪跃变系统的变化,并且不易受噪声影响的特点。理论分析和计算机仿真结果表明该算法优于传统算法。     

一种改进变步长LMS算法的性能研究

在对传统LMS算法、变步长LMS算法及其改进算法分析的基础上,提出了一种改进的变步长LMS算法。新算法通过建立步长因子与误差信号之间的非线性函数关系,使其初始阶段和时变阶段步长自适应增大和稳态阶段步长很小,理论分析及计算机的仿真结果表明,该算法可保证较快的收敛速度和较小的失调,能更好地解决收敛速度和稳态误差的内在矛盾,可更好地应用于自适应系统中。     

一种改进的LMS滤波器在DCG去噪中的应用

研究了LMS自适应滤波器在动态心电信号去噪中的应用。提出了一种适合动态心电信号预处理的变步长LMS改进算法,该算法用误差信号对期望信号的相对误差的平方根来调节步长。实验表明,这种改进滤波器在收敛速度和信噪比两方面都优于固定步长的滤波器。     

Improved variable step-size NLMS adaptive filtering algorithm for acoustic echo cancellation

Acoustic echo canceller (AEC) is used in communication and teleconferencing systems to reduce undesirable echoes resulting from the coupling between the loudspeaker and the microphone. In this paper, we propose an improved variable step-size normalized least mean square (VSS-NLMS) algorithm for acoustic echo cancellation applications based on adaptive filtering. The steady-state error of the NLMS algorithm with a fixed step-size (FSS-NLMS) is very large for a non-stationary input. Variable step-size (VSS) algorithms can be used to decrease this error. The proposed algorithm, named MESVSS-NLMS (mean error sigmoid VSS-NLMS), combines the generalized sigmoid variable step-size NLMS (GSVSS-NLMS) with the ratio of the estimation error to the mean history of the estimation error values. It is shown from single-talk and double-talk scenarios using speech signals from TIMIT database that the proposed algorithm achieves a better performance, more than 3 dB of attenuation in the misalignment evaluation compared to GSVSS-NLMS, non-parametric VSS-NLMS (NPVSS-NLMS) and standard NLMS algorithms for a non-stationary input in noisy environments.     

归一化LMS算法在IP电话回声消除的研究

自适应滤波是IP回声消除的核心。该文针对声学回声消除的原理、基本算法以及实现过程中的一些关键问题进行了讨论与研究,并提出了适用于计算机软件实现的一种改进的LMS算法,即归一化LMS算法,通过实验结果证明它能够提高收敛性能,改善通话质量。     

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.     

一种新变步长LMS算法及在自适应波束形成中的应用

LMS算法是智能天线自适应波束形成算法中的经典算法,由于其步长固定,造成收敛速度和稳态失调之间的矛盾。为了解决这一问题,提出一种新的变步长LMS算法,并在算法中引入误差信号的自相关估计,大大降低了噪声的干扰,对算法进行仿真,得到了最优的参数设置。利用蒙特卡罗方法对算法进行了性能评估,与传统的LMS算法、NLMS算法相比,新的变步长LMS算法具有更快的收敛速度和较小的稳态误差及优良的抗噪性能。     

多尺度小波分解下的自适应语音消噪算法研究

将小波变换的理论引入到自适应语音消噪系统中,分析了多尺度小波分解下的LMS自适应消噪算法（MSWD-LMS）的原理,该算法将输入向量分解到多尺度空间,减小了自适应滤波器输入向量自相关矩阵的谱动态范围;将变步长LMS算法与多尺度小波变换的思想结合,提出了一种新的小波自适应语音消噪算法（MSWD-VSS-LMS）,新算法既减少了输入向量自相关矩阵条件数,又克服了固定步长LMS算法在收敛速度与收敛精度方面与步长因子μ的矛盾,获得了更好的语音信号处理的收敛速度和稳定性。仿真结果表明新算法取得了较好的效果。     

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…