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Paper Abstract and Keywords
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
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
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

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  
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 2012-05-24 13:20:00 
Presentation Time 25 
Registration for SIP 
Paper # IEICE-EA2012-10,IEICE-SIP2012-10,IEICE-SP2012-10 
Volume (vol) IEICE-112 
Number (no) no.47(EA), no.48(SIP), no.49(SP) 
Page pp.53-58 
#Pages IEICE-6 
Date of Issue IEICE-EA-2012-05-17,IEICE-SIP-2012-05-17,IEICE-SP-2012-05-17 

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