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Paper Abstract and Keywords
Presentation 2007-03-06 14:35
The Optimum Approximation of Filter Banks Based on Fredholm Integral Equation With Pincherle-Goursat Kernel
Yuichi Kida (Ohu Univ.), Takuro Kida (Nihon Univ.) CAS2006-111 SIP2006-212 CS2006-128
Abstract (in Japanese) (See Japanese page) 
(in English) It is well-known that Fredholm integral equation $f(t)-\lambda\int_{-L}^L\sigma(t,\tau)f(\tau)d\tau = e(t)$ for $e(t)$ in $L
^2$ has a solution $f(t)$ in $L^2$ if $\lambda$ is sufficiently small. The solution is given by Neumann series and projecti
on operator from $e(t)$ to $f(t)$ is compact. In the main part of this paper, we present a unified theory of the optimum run
ning-type approximation based on this Fredholm integral equation using Pincherle-Goursat kernel.
Keyword (in Japanese) (See Japanese page) 
(in English) optimum approximation / filter bank / digital signal processing / Fredholm integral equation / / / /  
Reference Info. IEICE Tech. Rep., vol. 106, no. 570, SIP2006-212, pp. 93-98, March 2007.
Paper # SIP2006-212 
Date of Issue 2007-02-27 (CAS, SIP, CS) 
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 CAS2006-111 SIP2006-212 CS2006-128

Conference Information
Committee SIP CAS CS  
Conference Date 2007-03-05 - 2007-03-06 
Place (in Japanese) (See Japanese page) 
Place (in English) Blancart Misasa (Tottori) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Signal Processing for Communications, Code Theory, etc. 
Paper Information
Registration To SIP 
Conference Code 2007-03-SIP-CAS-CS 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) The Optimum Approximation of Filter Banks Based on Fredholm Integral Equation With Pincherle-Goursat Kernel 
Sub Title (in English)  
Keyword(1) optimum approximation  
Keyword(2) filter bank  
Keyword(3) digital signal processing  
Keyword(4) Fredholm integral equation  
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1st Author's Name Yuichi Kida  
1st Author's Affiliation Ohu University (Ohu Univ.)
2nd Author's Name Takuro Kida  
2nd Author's Affiliation Nihon University (Nihon Univ.)
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Speaker Author-2 
Date Time 2007-03-06 14:35:00 
Presentation Time 25 minutes 
Registration for SIP 
Paper # CAS2006-111, SIP2006-212, CS2006-128 
Volume (vol) vol.106 
Number (no) no.568(CAS), no.570(SIP), no.572(CS) 
Page pp.93-98 
#Pages 6 
Date of Issue 2007-02-27 (CAS, SIP, CS) 

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