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| Presentation | 2012-05-24 13:20 Statistical mechanical of the FXLMS algorithm and its accuracy Seiji Miyoshi, Yoshinobu Kajikawa (Kansai Univ.)  EA2012-10 SIP2012-10 SP2012-10 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We analyze the dynamical behaviors (learning curves) of active noise control with FXLMS algorithm using statistical mechanical method. The cross-correlation between an unknown system and an adaptive filter and autocorrelation of the adaptive filter are treated as the macroscopic variables. We obtain the simultaneous differential equations that describe the dynamical behaviors of the macroscopic variables under the conditions in which the reference signal is white and the tapped-delay line is long. We analytically solve the equations. Neither the independence assumption, the sinusoidal input assumption, the small step-size condition, nor the few-taps assumption is used. We discuss the systematic behaviors and adaptation rate using the derived theory and compare the theory with the simulation results using the real impulse response data of the primary path measured in the laboratory. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | FXLMS algorithm / adaptive filter / active noise control / statistical mechanics of information / thermodynamic limit / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 112, no. 48, SIP2012-10, pp. 53-58, May 2012. | |
| Paper # | SIP2012-10 | |
| Date of Issue | 2012-05-17 (EA, SIP, SP) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | EA2012-10 SIP2012-10 SP2012-10 |
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| Conference Information | |
| Committee | EA SP SIP |
| Conference Date | 2012-05-24 - 2012-05-25 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Osaka Univ. Nakanoshima Center |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Speech and Acoustic Signal Processing, Speech, and Related Topics |
| Paper Information | |
| Registration To | SIP |
| Conference Code | 2012-05-EA-SP-SIP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Statistical mechanical of the FXLMS algorithm and its accuracy |
| Sub Title (in English) | |
| Keyword(1) | FXLMS algorithm |
| Keyword(2) | adaptive filter |
| Keyword(3) | active noise control |
| Keyword(4) | statistical mechanics of information |
| Keyword(5) | thermodynamic limit |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Seiji Miyoshi |
| 1st Author's Affiliation | Kansai University (Kansai Univ.) |
| 2nd Author's Name | Yoshinobu Kajikawa |
| 2nd Author's Affiliation | Kansai University (Kansai Univ.) |
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| Speaker | Author-1 |
| Date Time | 2012-05-24 13:20:00 |
| Presentation Time | 25 minutes |
| Registration for | SIP |
| Paper # | EA2012-10, SIP2012-10, SP2012-10 |
| Volume (vol) | vol.112 |
| Number (no) | no.47(EA), no.48(SIP), no.49(SP) |
| Page | pp.53-58 |
| #Pages | 6 |
| Date of Issue | 2012-05-17 (EA, SIP, SP) |
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