Presentation 2004/1/9
Analysis of Linear and Nonlinear Filtered-X LMS Algorithms for Active Control of Multitonal Noise
Yoichi HINAMOTO, Hideaki SAKAI,
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Abstract(in English) In the presence of tonal noise generated by periodic noise source like rotating machines, the filtered-X LMS algorithm is used for active control of such noises. However, the algorithm is derived under the assumption of slow adaptation limit and the exact analysis of the algorithm is restricted to the case of one real sinusoid in the literature. In this paper for the general case of arbitrary number of sources, the characteristic polynomial of the equivalent linear system describing the filtered-X LMS algorithm is derived and a method for calculating the stability limit is proposed. Also, a new nonlinear algorithm free from the above assumption is proposed. Simulation results show that in the early stage of adaptation the nonlinear algorithm gives faster decay of errors.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Filtered-X LMS Algorithm / Active Noise Control / Convergence Analysis / Secondary Path / Multitonal Noise / Nonlinear
Paper # DSP2003-192
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Committee DSP
Conference Date 2004/1/9(1days)
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Registration To Digital Signal Processing (DSP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Analysis of Linear and Nonlinear Filtered-X LMS Algorithms for Active Control of Multitonal Noise
Sub Title (in English)
Keyword(1) Filtered-X LMS Algorithm
Keyword(2) Active Noise Control
Keyword(3) Convergence Analysis
Keyword(4) Secondary Path
Keyword(5) Multitonal Noise
Keyword(6) Nonlinear
1st Author's Name Yoichi HINAMOTO
1st Author's Affiliation Department of Systems Science, Graduate School of Informatics, Kyoto University()
2nd Author's Name Hideaki SAKAI
2nd Author's Affiliation Department of Systems Science, Graduate School of Informatics, Kyoto University
Date 2004/1/9
Paper # DSP2003-192
Volume (vol) vol.103
Number (no) 547
Page pp.pp.-
#Pages 6
Date of Issue