A piloted adaptive notch filter

In the implementation of an adaptive notch filter using the least mean squares (LMS) algorithm, the zero of the filter is steered toward the input sinusoid based on the gradient information. The convergent may be speeded up if a larger step size is used when the zero of the notch filter is far away...

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Vydané v:	IEEE transactions on signal processing Ročník 53; číslo 4; s. 1310 - 1323
Hlavní autori:	Yong Ching Lim, Yue Xian Zou, Zheng, N.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York, NY IEEE 01.04.2005 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:	Adaptive algorithms Adaptive filters Adaptive notch filter Algorithms Applied sciences Convergence Cost engineering Costs Data mining Detection, estimation, filtering, equalization, prediction Estimates Exact sciences and technology fast convergence Frequency estimation Information filtering Information filters Information, signal and communications theory Least mean square algorithms least mean squares algorithm Least squares approximation low misadjustment Notch filters Notches pilot notches Pilots Receivers & amplifiers Sampling Sampling methods Sampling, quantization Signal and communications theory Signal, noise steering direction Studies Telecommunications and information theory variable step-size algorithm Averaging method Adaptive notch filter low misadjustment fast convergence Information extraction Adaptive filter variable step-size algorithm Algorithm pilot notches Implementation Notch filter Time domain method Simulation steering direction Convergence rate least mean squares algorithm Sampling Sinusoidal signal Gradient method Least mean squares methods
ISSN:	1053-587X, 1941-0476
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Popis
Shrnutí:	In the implementation of an adaptive notch filter using the least mean squares (LMS) algorithm, the zero of the filter is steered toward the input sinusoid based on the gradient information. The convergent may be speeded up if a larger step size is used when the zero of the notch filter is far away from the frequency of the input sinusoid. The gradient provides information on the direction where the zero should be steered but does not provide information on the distance between the zero and the frequency of the sinusoid. Conventional variable step-size algorithms determine the step size based on a (linear/nonlinear) weighted average of the gradient estimate at several sampling instances (time domain averaging). In this paper, we propose a new method for extracting information on the distance between the frequency of the input sinusoid and the zero of the notch. We use three (or more) notches, namely, a main notch and two (or more) pilot notches implemented with minimal additional cost. The pilot notches are used to analyze the gradient estimates at the same sampling instance but at several frequency points as the main notch. Simulation results show that our new piloted notch technique is significantly superior to step-size determination based on a time-averaging technique. Novel theoretical analysis is presented. Our method can be used in conjunction with most existing algorithms to determine the step size.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 ObjectType-Article-2 ObjectType-Feature-1 content type line 23
ISSN:	1053-587X 1941-0476
DOI:	10.1109/TSP.2005.843742