Presentation | 2011-07-25 Statistical Mechanical Analysis of Adaptive Filter Seiji MIYOSHI, Yoshinobu KAJIKAWA, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | We analyze the dynamical behaviors (learning curves) of active noise control with Filtered-X LMS algorithm using statistical mechanical method. Direction cosines among coefficient vectors of an adaptive filter, its shifted filters, and an unknown system are treated as the macroscopic variables. We obtain the simultaneous differential equations that describe the dynamical behaviors of the macroscopic variables when the tapped-delay line is long. We analytically solve the equations. Neither the independence assumption, nor the sinusoidal input assumption, nor the small step-size condition, nor the few-taps assumption is used. The obtained theory quantitatively agrees with computer simulations even when there is some error on a secondary path estimation or the tapped-delay line of the unknown system is longer than that of the adaptive filter. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Filtered-X LMS algorithm / adaptive filter / active noise control / statistical mechanics of information / thermodynamic limit |
Paper # | NC2011-27 |
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Committee | NC |
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Conference Date | 2011/7/18(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Neurocomputing (NC) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Statistical Mechanical Analysis of Adaptive Filter |
Sub Title (in English) | |
Keyword(1) | Filtered-X LMS algorithm |
Keyword(2) | adaptive filter |
Keyword(3) | active noise control |
Keyword(4) | statistical mechanics of information |
Keyword(5) | thermodynamic limit |
1st Author's Name | Seiji MIYOSHI |
1st Author's Affiliation | Faculty of Engineering Science, Kansai University() |
2nd Author's Name | Yoshinobu KAJIKAWA |
2nd Author's Affiliation | Faculty of Engineering Science, Kansai University |
Date | 2011-07-25 |
Paper # | NC2011-27 |
Volume (vol) | vol.111 |
Number (no) | 157 |
Page | pp.pp.- |
#Pages | 6 |
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