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Paper Abstract and Keywords
Presentation 2008-09-26 13:55
A Pre-Inverse Adaptive System and Its Convergence Condition Based on Maximum and Minimum Phase Decomposition
Masaki Kobayashi, Chi Wang (Chubu Univ.), Yasutomo Kinugasa (Matsue National College of Technology), Yoshio Itoh (Tottori Univ.) SIP2008-102 SIS2008-37
Abstract (in Japanese) (See Japanese page) 
(in English) In general, the adaptive system using the structure in which an adaptive filter is placed before the unknown system to estimate the inverse transfer function of the unknown system is called pre-inverse adaptive system. The transfer function of the unknown system can be easily estimated by an adaptive transversal filter. Since there is no guarantee that the inverse transfer function of the estimated transfer function can be realized, various adaptive system has been studied. The representative example is an adaptive system that used the filtered-x adaptive algorithm. The correct adaptive performance cannot be expected since this system controls the main adaptive filter by using the output signal of the auxiliary adaptive filter that has the estimation error. In the maximum and minimum phase decomposition approach, the inverse of each transfer function becomes a stable transfer function that contains the delay so that the auxiliary adaptive filter becomes unnecessary and the correct adaptive performance can be expected. In this paper we propose an adaptive system and formulate the convergence condition of this adaptive system. Hessian is derived using the property that the output signal of the adaptive system always equals to the delay version of the input signal, and it is shown that Hessian becomes a positive definite. As a result, the convergence condition is formulated. Finally, these results of theoretical consideration are verified strictly by computer simulation.
Keyword (in Japanese) (See Japanese page) 
(in English) Maximum Phase / Digital Control / Digital Signal Processing / Transfer Function / Adaptive Algorithm / / /  
Reference Info. IEICE Tech. Rep., vol. 108, no. 214, SIS2008-37, pp. 71-76, Sept. 2008.
Paper # SIS2008-37 
Date of Issue 2008-09-18 (SIP, SIS) 
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 SIP2008-102 SIS2008-37

Conference Information
Committee SIS SIP IPSJ-AVM  
Conference Date 2008-09-25 - 2008-09-26 
Place (in Japanese) (See Japanese page) 
Place (in English) Tobata Campus, Kyushu Institute of Technology 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Signal Processing, Intelligent Multimedia Systems, etc. 
Paper Information
Registration To SIS 
Conference Code 2008-09-SIS-SIP-AVM 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Pre-Inverse Adaptive System and Its Convergence Condition Based on Maximum and Minimum Phase Decomposition 
Sub Title (in English)  
Keyword(1) Maximum Phase  
Keyword(2) Digital Control  
Keyword(3) Digital Signal Processing  
Keyword(4) Transfer Function  
Keyword(5) Adaptive Algorithm  
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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.)
3rd Author's Name Yasutomo Kinugasa  
3rd Author's Affiliation Matsue National College of Technology (Matsue National College of Technology)
4th Author's Name Yoshio Itoh  
4th Author's Affiliation Tottori University (Tottori Univ.)
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Speaker Author-2 
Date Time 2008-09-26 13:55:00 
Presentation Time 20 minutes 
Registration for SIS 
Paper # SIP2008-102, SIS2008-37 
Volume (vol) vol.108 
Number (no) no.213(SIP), no.214(SIS) 
Page pp.71-76 
#Pages 6 
Date of Issue 2008-09-18 (SIP, SIS) 

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