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Paper Abstract and Keywords
Presentation 2007-06-21 14:50
Stability Criterion Based on System Matrix and Adaptation to the Design of IIR Filters
Toma Miyata, Naoyuki Aikawa (Nihon Univ.), Yasunori Sugita, Toshinori Yoshikawa (Nagaoka Univ. of Tech.) CAS2007-14 VLD2007-30 SIP2007-44
Abstract (in Japanese) (See Japanese page) 
(in English) In general, it is necessary to guarantee stability for the design of IIR filters. Then, the method of guaranteeing stability by using Rouche's theorem or positive realness condition is proposed for the iterative approximation algorithm. However, the conventional methods become sufficient conditions to guarantee stability due to use the stable denominator polynomial coefficients and the amount of coefficients update. As a result, the stability domain is narrow and change. In this paper, we propose a design method of 1D IIR filters that applies stability criterion based on system matrix to successive projection method. Stability criterion based on system matrix in the proposed method becomes a necessary and sufficient condition for the guaranteeing stability. Therefore, the stability domain doesn't depend on denominator polynomial coefficients and not change. Moreover, the stability domain is wider than that by conventional methods. As a result, IIR filter obtained by the proposed method has a smaller ripple than the conventional method.
Keyword (in Japanese) (See Japanese page) 
(in English) System matrix / Successive projection method / IIR filter / Stability criterion method / / / /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 104, SIP2007-44, pp. 79-84, June 2007.
Paper # SIP2007-44 
Date of Issue 2007-06-14 (CAS, VLD, SIP) 
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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF CAS2007-14 VLD2007-30 SIP2007-44

Conference Information
Committee CAS SIP VLD  
Conference Date 2007-06-21 - 2007-06-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Hokkaido Tokai Univ. (Sapporo) 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To SIP 
Conference Code 2007-06-CAS-SIP-VLD 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Stability Criterion Based on System Matrix and Adaptation to the Design of IIR Filters 
Sub Title (in English)  
Keyword(1) System matrix  
Keyword(2) Successive projection method  
Keyword(3) IIR filter  
Keyword(4) Stability criterion method  
1st Author's Name Toma Miyata  
1st Author's Affiliation Nihon University (Nihon Univ.)
2nd Author's Name Naoyuki Aikawa  
2nd Author's Affiliation Nihon University (Nihon Univ.)
3rd Author's Name Yasunori Sugita  
3rd Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. of Tech.)
4th Author's Name Toshinori Yoshikawa  
4th Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. of Tech.)
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Date Time 2007-06-21 14:50:00 
Presentation Time 20 
Registration for SIP 
Paper # IEICE-CAS2007-14,IEICE-VLD2007-30,IEICE-SIP2007-44 
Volume (vol) IEICE-107 
Number (no) no.100(CAS), no.102(VLD), no.104(SIP) 
Page pp.79-84 
#Pages IEICE-6 
Date of Issue IEICE-CAS-2007-06-14,IEICE-VLD-2007-06-14,IEICE-SIP-2007-06-14 

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