A control theory approach to the stability and transient analysis of the filtered-x LMS adaptive notch filter

Morgan D.R.; Sanford C.

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A control theory approach to the stability and transient analysis of the filtered-x LMS adaptive notch filter

机译：X滤波LMS自适应陷波滤波器的稳定性和瞬态分析的控制理论方法

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A method is presented for analyzing the stability and transient response of the filtered-x LMS adaptive notch filter by formulating the problem in the complex weight domain and applying standard control theory. Examples are given for pure delay and second-order low-pass cancellation path transfer functions. The method is also extended to the multichannel case, where the eigenvalues of the equivalent open-loop transfer function matrix characterize the behavior.

机译：提出了一种在复杂加权域中提出问题并应用标准控制理论来分析滤波后的x LMS自适应陷波滤波器的稳定性和瞬态响应的方法。给出了纯延迟和二阶低通消除路径传递函数的示例。该方法还扩展到多通道情况，在该情况下，等效开环传递函数矩阵的特征值表征了行为。

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《IEEE Transactions on Signal Processing》 |1992年第9期|P.2341-2346|共6页
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Morgan D.R.; Sanford C.;
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正文语种 eng
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1. Active Vibration Control of Swash Plate-Type Axial Piston Machines with Two-Weight Notch Least Mean Square/Filtered-x Least Mean Square (LMS/FxLMS) Filters [J] . Taeho Kim, Monika Ivantysynova Energies . 2017,第5期

机译：带有两个凹口最小均方/过滤x最小均方（LMS / FxLMS）过滤器的斜盘式轴向柱塞机的主动振动控制
2. A multitone pseudocascade, filtered-X LMS adaptive notch filter [J] . Morgan D.R., Thi J. IEEE Transactions on Signal Processing . 1993,第2期

机译：多音伪级联，滤波X LMS自适应陷波滤波器
3. Adaptive inverse control of random vibration based on the filtered-X LMS algorithm [J] . Yang Zhidong, Huang Qitao, Han Junwei, 地震工程与工程振动：英文版 . 2010,第001期

机译：基于Filtered-X LMS算法的随机振动自适应逆控制
4. A multi-tone pseudo-cascade filtered-x LMS adaptive notch filter [C] . Morgan, D.R., Thi, . 1991

机译：多音伪级联滤波x LMS自适应陷波滤波器
5. A modification to filtered-X LMS control for airfoil vibration and flutter suppression. [D] . Carnahan, J. Jordan. 2005

机译：对Filtered-X LMS控制的修改，用于机翼振动和颤振抑制。
6. Non-Invasive Fetal Monitoring: A Maternal Surface ECG Electrode Placement-Based Novel Approach for Optimization of Adaptive Filter Control Parameters Using the LMS and RLS Algorithms [O] . Radek Martinek, Radana Kahankova, Homer Nazeran, 2017

机译：非侵入性胎儿监测：一种基于母体表面心电电极放置的新颖方法使用LMS和RLS算法优化自适应滤波器控制参数
7. Active Vibration Control of Swash Plate-Type Axial Piston Machines with Two-Weight Notch Least Mean Square/Filtered-x Least Mean Square (LMS/FxLMS) Filters [O] . Taeho Kim, Monika Ivantysynova 2017

机译：具有双重距离最小均方/过滤-X最小均方（LMS / FXLMS）过滤器的旋转斜盘式轴向活塞机的主动振动控制

A control theory approach to the stability and transient analysis of the filtered-x LMS adaptive notch filter

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