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Paper Abstract and Keywords
Presentation 2008-04-17 15:45
A Study on Adaptive Recursive Filter Based on Lagrange-White's Algorithm
Masaki Kobayashi, Chi Wang (Chubu Univ.) SIP2008-12 IE2008-12
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper, we propose a new adaptive recursive filter that has innovated the Lagrange multiplier method into
the adaptive White’s algorithm. The adaptive White’s algorithm is known as a typical algorithm of the adaptive recursive filter in which the cost function is the output error. This algorithm is a recursive algorithm in which the gradient concerning the tap coefficient of the cost function is calculated almost accurately. However, this adaptive recursive filter has the problem that the plural local minimums exist even if the degree of the adaptive filter is greater than the degree of unknown system (exact model) and the input signal is a white signal. The purpose of this paper is to give a solution of this problem. The adaptive algorithm that minimizes the mean square value of the output error under the condition of the equality of the output power of the adaptive filter and the unknown system can converge to the optimum value when the Lagrange multiplier is zero. It is also verified that the local minimum can be avoided by the numerical simulation compared with the White’s algorithm. In addition, the influence of the near end noise is considered.
Keyword (in Japanese) (See Japanese page) 
(in English) Local Minimum / Convergence Value / Lagrange Multiplier / Output Error / Adaptive Recursive Filter / / /  
Reference Info. IEICE Tech. Rep., vol. 108, no. 3, SIP2008-12, pp. 67-72, April 2008.
Paper # SIP2008-12 
Date of Issue 2008-04-10 (SIP, IE) 
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 SIP2008-12 IE2008-12

Conference Information
Committee SIP IE  
Conference Date 2008-04-17 - 2008-04-17 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To SIP 
Conference Code 2008-04-SIP-IE 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Study on Adaptive Recursive Filter Based on Lagrange-White's Algorithm 
Sub Title (in English)  
Keyword(1) Local Minimum  
Keyword(2) Convergence Value  
Keyword(3) Lagrange Multiplier  
Keyword(4) Output Error  
Keyword(5) Adaptive Recursive Filter  
1st Author's Name Masaki Kobayashi  
1st Author's Affiliation Chubu University (Chubu Univ.)
2nd Author's Name Chi Wang  
2nd Author's Affiliation Chubu University (Chubu Univ.)
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Speaker Author-2 
Date Time 2008-04-17 15:45:00 
Presentation Time 25 minutes 
Registration for SIP 
Paper # SIP2008-12, IE2008-12 
Volume (vol) vol.108 
Number (no) no.3(SIP), no.4(IE) 
Page pp.67-72 
Date of Issue 2008-04-10 (SIP, IE) 

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