Title :
Estimation of
Frequencies Using Adaptive Notch Filter
Author :
Mojiri, M. ; Bakhshai, A.R.
Author_Institution :
Fac. of Eng., Kashan Univ., Isfahan
fDate :
4/1/2007 12:00:00 AM
Abstract :
This paper introduces an adaptive structure composed of n coupled paralleled subfilters that directly estimates frequencies of multiple sinusoids. The order of differential equations governing this algorithm is 3n, where n is the number of sinusoids. Stability analysis of this algorithm is carried out based on the application of the averaging theory under the assumption of the slow adaptation. Simulation results verify the validity of the analytical issues
Keywords :
adaptive filters; differential equations; frequency estimation; notch filters; spectral analysis; stability; adaptive notch filter; adaptive structure; averaging theory; differential equations; frequency estimation; multiple sinusoid frequency; nonlinear systems; parallel structure; paralleled subfilters; stability analysis; Adaptive filters; Area measurement; Biomedical engineering; Differential equations; Frequency estimation; Magnetic separation; Nonlinear filters; Parameter estimation; Stability analysis; Transfer functions; Adaptive notch filter (ANF); frequency estimation; nonlinear systems; parallel structure; stability analysis;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2006.889724