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Paper Abstract and Keywords
Presentation 2017-01-20 10:25
Band-pass Maximally Flat FIR Fractional Order Differentiators with Stopband Based on Minimization of $L_p$ Norm
Ryosuke Kunii, Takashi Yoshida, Naoyuki Aikawa (TUS) IT2016-92 SIP2016-130 RCS2016-282
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper, we propose a design method for a band-pass maximally flat FIR fractional order differentiators (FODs) with stopbands obtained by minimizing the $L_p$ norm in the stopband.
FODs are digital signal processing systems for calculating the time/space fractional order derivative of an input signal.
The proposed transfer function is composed of two functions, one with flat characteristics in the passband and one that ensures the transfer function has $L_p$ approximated characteristics in the stopband.
The proposed FODs can differentiate the input signal without distortion in the passband because of flat magnitude and group delay responses.
The characteristics of stopbands designed by minimizing the $L_p$ norm can be used to control the relationship between the steepness in the transition band and the ripple scale.
In the optimization of the function, Newton's method is employed.
Keyword (in Japanese) (See Japanese page) 
(in English) Fractional order differentiator / maximally flat / $L_p$ norm / / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 395, SIP2016-130, pp. 267-271, Jan. 2017.
Paper # SIP2016-130 
Date of Issue 2017-01-12 (IT, 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 IT2016-92 SIP2016-130 RCS2016-282

Conference Information
Committee IT SIP RCS  
Conference Date 2017-01-19 - 2017-01-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka City Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Signal Processing for Wireless Communications, Learning, Mathematical Science, Communication Theory, etc. 
Paper Information
Registration To SIP 
Conference Code 2017-01-IT-SIP-RCS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Band-pass Maximally Flat FIR Fractional Order Differentiators with Stopband Based on Minimization of $L_p$ Norm 
Sub Title (in English) * 
Keyword(1) Fractional order differentiator  
Keyword(2) maximally flat  
Keyword(3) $L_p$ norm  
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1st Author's Name Ryosuke Kunii  
1st Author's Affiliation Tokyo University of Science (TUS)
2nd Author's Name Takashi Yoshida  
2nd Author's Affiliation Tokyo University of Science (TUS)
3rd Author's Name Naoyuki Aikawa  
3rd Author's Affiliation Tokyo University of Science (TUS)
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Speaker Author-1 
Date Time 2017-01-20 10:25:00 
Presentation Time 25 minutes 
Registration for SIP 
Paper # IT2016-92, SIP2016-130, RCS2016-282 
Volume (vol) vol.116 
Number (no) no.394(IT), no.395(SIP), no.396(RCS) 
Page pp.267-271 
#Pages 5 
Date of Issue 2017-01-12 (IT, SIP, RCS) 

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