Presentation 2007-10-18
A Study on Structure and Adaptive Algorithm of Adaptive Notch Filter Based on Expansion of Fourier Sine Series
Masaki KOBAYASHI, Chi WANG, Yoshio ITOH,
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Abstract(in English) In this paper, we consider an adaptive notch filter that realizes the phase shift of the all-pass filter by the Fourier sine series expansion. The method to control the weights of the all-pass filter composed by IIR filter is known well. However, these adaptive notch filter have not been put to practical use since the inevitable stability problem of IIR filter and the problem concerning the determination method of the degree of IIR filter exist. The proposed adaptive notch filter is always stable since the all-pass filter is composed by an exponential filter. Moreover, the adaptive algorithm is a simple gradient based algorithm and the convergence of weights 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 that should be eliminated. Moreover, 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 analytical results and the above mentioned feature are strictly verified by computer simulation.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Narrowband Signal / Phase Shift / Cost Function / Exponential Filter / All-pass Filter
Paper # CAS2007-41,NLP2007-69
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Conference Information
Committee NLP
Conference Date 2007/10/11(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Study on Structure and Adaptive Algorithm of Adaptive Notch Filter Based on Expansion of Fourier Sine Series
Sub Title (in English)
Keyword(1) Narrowband Signal
Keyword(2) Phase Shift
Keyword(3) Cost Function
Keyword(4) Exponential Filter
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 Yoshio ITOH
3rd Author's Affiliation Faculty of Engineering, Tottori University
Date 2007-10-18
Paper # CAS2007-41,NLP2007-69
Volume (vol) vol.107
Number (no) 266
Page pp.pp.-
#Pages 6
Date of Issue