Presentation 1997/1/23
A Derivation on the Stable Condition of the Filtered-x LMS Algorithm
Jun'ya YABUKI, Yoshinobu KAJIKAWA, Yasuo NOMURA,
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Abstract(in English) When the ANC system is operated on the Filtered-x LMS algorithm, the step size parameter for stable control has been decided by trial and error, because the way of obtaining it has been unknown up to this time. In this paper, we derive an equation of obtaining the value of the step size parameter that shows the stable limit of the system, from the allowable phase difference between C and C^^⋀, when C^^⋀ is the model of Error Path C, and includes modeling error. Next, we try to express the equation as a function of the information obtained from estimating C. In addition, we show the effectiveness of the proposed equation from the comparison of the convergence property of the case using the step size parameter from the equation with that of the other case.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) ANC System / Filtered-x LMS Algorithm / Step Size Parameter / Modeling Error
Paper # US96-86,EA96-90
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Committee US
Conference Date 1997/1/23(1days)
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Registration To Ultrasonics (US)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Derivation on the Stable Condition of the Filtered-x LMS Algorithm
Sub Title (in English)
Keyword(1) ANC System
Keyword(2) Filtered-x LMS Algorithm
Keyword(3) Step Size Parameter
Keyword(4) Modeling Error
1st Author's Name Jun'ya YABUKI
1st Author's Affiliation Department of Electronics, Faculty of Engineering, Kansai University()
2nd Author's Name Yoshinobu KAJIKAWA
2nd Author's Affiliation Department of Electronics, Faculty of Engineering, Kansai University
3rd Author's Name Yasuo NOMURA
3rd Author's Affiliation Department of Electronics, Faculty of Engineering, Kansai University
Date 1997/1/23
Paper # US96-86,EA96-90
Volume (vol) vol.96
Number (no) 471
Page pp.pp.-
#Pages 8
Date of Issue