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Paper Abstract and Keywords
Presentation 2011-06-30 10:00
Statistical Mechanical Analysis of the Filtered-X LMS Algorithm (II)
Seiji Miyoshi, Yoshinobu Kajikawa (Kansai Univ.) CAS2011-4 VLD2011-11 SIP2011-33 MSS2011-4
Abstract (in Japanese) (See Japanese page) 
(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 small step sizes condition are used. The obtained theory quantitatively agrees with computer simulations, regardless of whether there is noises on error microphone.
Keyword (in Japanese) (See Japanese page) 
(in English) Filtered-X LMS algorithm / adaptive filter / active noise control / statistical mechanics of information / thermodynamic limit / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 104, SIP2011-33, pp. 19-24, June 2011.
Paper # SIP2011-33 
Date of Issue 2011-06-23 (CAS, VLD, SIP, MSS) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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 CAS2011-4 VLD2011-11 SIP2011-33 MSS2011-4

Conference Information
Committee MSS CAS VLD SIP  
Conference Date 2011-06-30 - 2011-07-01 
Place (in Japanese) (See Japanese page) 
Place (in English) Okinawa-Ken-Seinen-Kaikan 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To SIP 
Conference Code 2011-06-MSS-CAS-VLD-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Statistical Mechanical Analysis of the Filtered-X LMS Algorithm (II) 
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 Kansai University (Kansai Univ.)
2nd Author's Name Yoshinobu Kajikawa  
2nd Author's Affiliation Kansai University (Kansai Univ.)
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Date Time 2011-06-30 10:00:00 
Presentation Time 20 
Registration for SIP 
Paper # IEICE-CAS2011-4,IEICE-VLD2011-11,IEICE-SIP2011-33,IEICE-MSS2011-4 
Volume (vol) IEICE-111 
Number (no) no.102(CAS), no.103(VLD), no.104(SIP), no.105(MSS) 
Page pp.19-24 
#Pages IEICE-6 
Date of Issue IEICE-CAS-2011-06-23,IEICE-VLD-2011-06-23,IEICE-SIP-2011-06-23,IEICE-MSS-2011-06-23 

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