Adaptive Notch Filter Based Algorithm for Direct Complex Frequency Estimation

Author(s):  
Yang Jian ◽  
Xi Hongsheng ◽  
Li Jing ◽  
Wei Xing
2017 ◽  
Vol 17 (1) ◽  
pp. 48-52 ◽  
Author(s):  
Ting-ao Shen ◽  
Hua-nan Li ◽  
Qi-xin Zhang ◽  
Ming Li

Abstract The convergence rate and the continuous tracking precision are two main problems of the existing adaptive notch filter (ANF) for frequency tracking. To solve the problems, the frequency is detected by interpolation FFT at first, which aims to overcome the convergence rate of the ANF. Then, referring to the idea of negative feedback, an evaluation factor is designed to monitor the ANF parameters and realize continuously high frequency tracking accuracy. According to the principle, a novel adaptive frequency estimation algorithm based on interpolation FFT and improved ANF is put forward. Its basic idea, specific measures and implementation steps are described in detail. The proposed algorithm obtains a fast estimation of the signal frequency, higher accuracy and better universality qualities. Simulation results verified the superiority and validity of the proposed algorithm when compared with original algorithms.


2003 ◽  
Vol 125 (4) ◽  
pp. 585-594 ◽  
Author(s):  
Yuan H. Guan ◽  
W. Steve Shepard, ◽  
Teik C. Lim

A direct hybrid adaptive approach based on the Lyapunov stability theorem is proposed for performing active vibration control of a rotational gear pair subject to multiple-harmonic, transmission error disturbances. The analysis applies a reduced single-degree-of-freedom gear pair model of the elastic mesh mode with time-varying tooth mesh stiffness. It is assumed that the resultant actuation force for suppressing the rotational vibration of the gear pair can be directly applied along the tooth contact line-of-action by employing a set of suitably configured inertial actuators. The proposed controller simultaneously adapts both the feedback and feed-forward gains, and only requires knowledge of the fundamental gear mesh frequency that is given by the product of the instantaneous gear rotational speed and the number of gear teeth. The analysis indicates that the proposed controller is insensitive to the gear mesh frequency estimation errors, and the resulting vibration control is more effective than those provided by the adaptive notch filter and filtered-x LMS algorithms. The control theory also incorporates dynamic normalization and leakage enhancements in order to optimize performance and improve robustness. Finally, the salient features are demonstrated in several numerical examples.


1992 ◽  
Vol 27 (2) ◽  
pp. 161-176 ◽  
Author(s):  
Bor-Sen Chen ◽  
Tsang-Yi Yang ◽  
Bin-Hong Lin

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