Steady-state analysis of the long LMS adaptive filter

For the well-known LMS adaptive algorithm no general analytic solutions are available for the steady-state weight-error statistics under stationary stochastic excitation. Only approximate tools have been developed using certain assumptions (like the “independence assumption”) and producing more or less reliable results in practical situations. It is only for the case of a vanishingly small stepsize that such assumptions are not required. There a closed-form solution can be determined for any colouring of the input signal and the additive noise.Here another particular problem is analyzed: the long filter, i.e. a tapped-delay line structure with a large number of taps. For the limiting case of an infinitely long filter, exact closed-form solutions are derived for the steady-state weight-error correlations and the associated “misadjustment”, again valid for any colouring of the input signal and the additive noise, and now also for any stepsize guaranteeing stability.The analysis is based upon a feedback approach, with a forward branch generating the above-mentioned solution for vanishing stepsize and a peculiar feedback branch responsible for higher-order corrections. As in any feedback structure, instability can occur beyond a critical value of the feedback parameter. In our case an experimentally supported maximum stepsize is found, beyond which spontaneous oscillations might occur.     

LMS算法收敛步长的精确求解

本文提出了用步长阀值上下限的算术平均值去计算收敛步长的新方法,通过LMS算法失调量的精确分析,寻出了计算步长的公式.计算机模拟结果证实了本文方法及其步长计算公式的准确性.     

高速突发传输中的均衡算法

通过对几种常用均衡算法的比较,确定高速突发传输中使用收敛速度较快、运算量较小的VLMS均衡算法。为降低高速突发信号中的训练序列开销,提高传输效率,提出了一种新的混合结构均衡方案。新方案充分利用数据辅助均衡与盲均衡的各自特点,将均衡过程分成两个阶段,数据辅助均衡阶段为盲均衡阶段提供一个足够精确的初始值,引导盲均衡实现快速收敛。仿真结果表明,该混合结构均衡方案能利用短训练序列实现收敛,而且能达到较好的性能。     

LMS自适应滤波器的仿真与实现

本文概述了LMS算法和LMS滤波器的的基本原理,利用MATLAB和DspBuilder立算法模型,完成LMS自适应滤波器的仿真与设计,有效地提高了FPGA的设计效率．降低了设计人员对硬件的要求。     

A noise constrained least mean fourth (NCLMF) adaptive algorithm

The learning speed of an adaptive algorithm can be improved by properly constraining the cost function of the adaptive algorithm. In this work, a noise-constrained least mean fourth (NCLMF) adaptive algorithm is proposed. The NCLMF algorithm is obtained by constraining the cost function of the standard LMF algorithm to the fourth-order moment of the additive noise. The NCLMF algorithm can be seen as a variable step-size LMF algorithm. The main aim of this work is to derive the NCLMF adaptive algorithm, analyze its convergence behavior, and assess its performance in different noise environments. Furthermore, the analysis of the proposed NCLMF algorithm is carried out using the concept of energy conservation. Finally, a number of simulation results are carried out to corroborate the theoretical findings, and as expected, improved performance is obtained through the use of this technique over the traditional LMF algorithm.     

一种改进的二阶沃尔特拉滤波器LMS算法

本文给出了一种辨识二阶活尔特拉系统的新的LMS算法，数值模拟表明，这种算法比快速卡尔曼滤波器的计算时间短，收敛速度快。     

一种新的变步长LMS自适应滤波算法

对已有的一些变步长自适应滤波算法进行了分析，在此基础上，提出了一种新的自适应算法。理论分析显示该算法能改善文中所述其他算法的不足；仿真结果表明此算法收敛性能良好，优于文中所述其他算法。     

一种强跟踪抗噪声自适应滤波算法

通过分析几种典型的LMS算法,结合几种典型算法的优点,在不同时期采用不同的控制步长策略,本文提出基于相关箕舌线的自适应滤波算法(CTCLMS算法),并对其性能指标进行了比较仿真。在同一仿真条件下的仿真结果表明:CTCLMS算法除了具有收敛速度快,稳态误差小,计算简单的特点外,还同时具有了强跟踪能力和强抗噪声能力,解决了系统跟踪能力和抗噪声性能之间的矛盾。     

自适应声反馈抑制系统的仿真研究

声反馈现象是扩声系统中一个较为严重的现象,将自适应系统辨识理论应用到声反馈抑制系统中,采用Matlab/Simulink工具,通过LMS自适应滤波器搭建声反馈抑制模型进行仿真分析。结果证明,在前置路径中加入适度延迟可以有效降低自适应滤波器对声反馈路径估计的系统参数估计偏差,系统参数的集总相对偏差可以降低10dB左右,系统扩声增益可提升17 dB左右。     

漆酶改性对马尾松TMP性能的影响

研究了漆酶N S51003/介体体系(LMS)改性对未漂马尾松TMP性能的影响,探讨了酶改性温度、PH值、酶用量、介体用量、酶改性时间对纸浆强度性能、白度及松厚度的影响.结果表明:LMS处理后纸浆可漂性提高,白度提高3.80%ISO;纸页抗张强度、撕裂强度、耐破强度均得到明显的改善,同时松厚度也得到一定程度的提高.