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Paper Abstract and Keywords
Presentation 2012-01-27 14:45
Fractal Information Structure in Discrete Signal and Applications -- A Method for Signal Processing Using Local Fractal Dimension --
Norihisa Matsumoto, Kenichi Kamijo (Toyo Univ.) SIP2011-112 RCS2011-301
Abstract (in Japanese) (See Japanese page) 
(in English) The orbit of a discrete dynamical system in 3-dimensional space can be considered to be a kind of discrete signal. In this paper, we define the local fractal dimension (LFD) by using the “processing window” on the orbit. In order to evaluate the fractal information structure in the orbit, we propose a method with a moving LFD for signal processing by sliding the “processing window” along the line on the orbit. We selected the logistic mapping in each coordinate as an example and, on the basis of a computer simulation; we show that the probability distribution of the moving LFD becomes almost a normal distribution on the restricted range of the control parameter, which corresponds to the so-called chaotic areas, in the logistic mapping. Also, the relationships between the control parameter and the mean or standard deviation of the moving LFD or SN ratio are investigated. The proposed method can be used in the statistical quality control or general random processes with the same procedure.
Keyword (in Japanese) (See Japanese page) 
(in English) discrete dynamical system / random process / logistic time development / local fractal dimension / statistical quality control / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 403, SIP2011-112, pp. 193-198, Jan. 2012.
Paper # SIP2011-112 
Date of Issue 2012-01-19 (SIP, RCS) 
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 SIP2011-112 RCS2011-301

Conference Information
Committee RCS SIP  
Conference Date 2012-01-26 - 2012-01-27 
Place (in Japanese) (See Japanese page) 
Place (in English) Fukuoka Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Signal Processing for Wireless Systems, etc. 
Paper Information
Registration To SIP 
Conference Code 2012-01-RCS-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Fractal Information Structure in Discrete Signal and Applications 
Sub Title (in English) A Method for Signal Processing Using Local Fractal Dimension 
Keyword(1) discrete dynamical system  
Keyword(2) random process  
Keyword(3) logistic time development  
Keyword(4) local fractal dimension  
Keyword(5) statistical quality control  
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1st Author's Name Norihisa Matsumoto  
1st Author's Affiliation Toyo University (Toyo Univ.)
2nd Author's Name Kenichi Kamijo  
2nd Author's Affiliation Toyo University (Toyo Univ.)
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Speaker Author-2 
Date Time 2012-01-27 14:45:00 
Presentation Time 25 minutes 
Registration for SIP 
Paper # SIP2011-112, RCS2011-301 
Volume (vol) vol.111 
Number (no) no.403(SIP), no.404(RCS) 
Page pp.193-198 
#Pages 6 
Date of Issue 2012-01-19 (SIP, RCS) 

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