Presentation 2007-12-11
A Study on Convergence Condition of Adaptive Notch Filter Using Fourier Sine Series Expansion
Masaki KOBAYASHI, Chi WANG, Yasutomo KINUGASA, Yoshio ITOH,
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Abstract(in English) In this paper, we consider a new adaptive notch filter that realizes the phase shift of the all-pass circuit by the Fourier sine series expansion, an adaptive algorithm and convergence condition of the adaptive algorithm. The method to update the of the all-pass circuit composed by IIR filter is known well. However, there are problems of the stability of the filter, bias error of the weights caused by the broadband signal and the determination method of the filter degree. Hence these adaptive notch filter have not been put to practical use. The proposed adaptive notch filter is stable and the convergence of the adaptive algorithm is guaranteed. The degree of the all-pass filter only depends on the required steepness of the elimination characteristic and does not depend on the number of narrowband signals at should be eliminated. Therefore the prior information of the number of the narrowband signal is not required. It can be said that the proposed method is a suitable method for practical use since the elimination characteristic hardly influenced by the broadband signal added to the narrowband signal. Finally, the convergence condition is verified by computer simulation.
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Keyword(in English) Narrowband Signal / Fourier Sine Series / Convergence Condition / Gradient Algorithm / All-pass Filter
Paper # SIS2007-64
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Conference Date 2007/12/4(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Study on Convergence Condition of Adaptive Notch Filter Using Fourier Sine Series Expansion
Sub Title (in English)
Keyword(1) Narrowband Signal
Keyword(2) Fourier Sine Series
Keyword(3) Convergence Condition
Keyword(4) Gradient Algorithm
Keyword(5) All-pass Filter
1st Author's Name Masaki KOBAYASHI
1st Author's Affiliation Faculty of Engineering, Chubu University()
2nd Author's Name Chi WANG
2nd Author's Affiliation Faculty of Engineering, Chubu University
3rd Author's Name Yasutomo KINUGASA
3rd Author's Affiliation Matsue National College of Technology
4th Author's Name Yoshio ITOH
4th Author's Affiliation Faculty of Engineering, Tottori University
Date 2007-12-11
Paper # SIS2007-64
Volume (vol) vol.107
Number (no) 374
Page pp.pp.-
#Pages 6
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