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Paper Abstract and Keywords
Presentation 2019-08-30 10:00
Improvement of instantaneous frequency estimation by finite order Hilbert transformer using notch filter
Keisuke Takao, Takahiro Natori, Naoyuki Aikawa (TUS) SIP2019-45
Abstract (in Japanese) (See Japanese page) 
(in English) Frequency estimation is used in a wide range of fields such as radar, communications, voice, and medicine. One of the methods is to use instantaneous frequency. In this method, a complex signal called an analysis signal is generated, and the instantaneous frequency is obtained by temporally differentiating the instantaneous phase of this complex signal. In general, analytic signal is generated using Hilbert transformers. However, because Hilbert transformers with finite orders have approximation errors, the estimated instantaneous frequency includes the component derived from the approximation error in addition to the original signal component. This error can be suppressed by making the Hilbert transformer higher order, but the increase in the order results in an increase in the delay for obtaining the instantaneous frequency. In this paper, we propose a method to remove the effect of approximation error by using notch filter. As a result, even with a low-order Hilbert transformer, it is possible to estimate the instantaneous frequency with high accuracy.
Keyword (in Japanese) (See Japanese page) 
(in English) frequency estimation / instantaneous frequency / Hilbert transformer / notch filter / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 185, SIP2019-45, pp. 31-34, Aug. 2019.
Paper # SIP2019-45 
Date of Issue 2019-08-22 (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. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee SIP  
Conference Date 2019-08-29 - 2019-08-30 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To SIP 
Conference Code 2019-08-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Improvement of instantaneous frequency estimation by finite order Hilbert transformer using notch filter 
Sub Title (in English)  
Keyword(1) frequency estimation  
Keyword(2) instantaneous frequency  
Keyword(3) Hilbert transformer  
Keyword(4) notch filter  
1st Author's Name Keisuke Takao  
1st Author's Affiliation Tokyo University of Science (TUS)
2nd Author's Name Takahiro Natori  
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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Date Time 2019-08-30 10:00:00 
Presentation Time 25 
Registration for SIP 
Paper # SIP2019-45 
Volume (vol) 119 
Number (no) no.185 
Page pp.31-34 
Date of Issue 2019-08-22 (SIP) 

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