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Paper Abstract and Keywords
Presentation 2017-08-24 14:40
Computational Complexity Reduction for Third-order Volterra Filter Based on Singular Value Decomposition and the Application to the Compensation of Third-order Nonlinear Distortions
Yuya Nakahira, Kenta Iwai, Yoshinobu Kajikawa (Kansai Univ.) SIP2017-53
Abstract (in Japanese) (See Japanese page) 
(in English) Nonlinear distortions of loudspeaker systems affect the sound quality and
should be accordingly compensated by any linearlzation technique.
One of the linearization techniques is based on Volterra filter and requires to identify Volterra kernels of a target loudspeaker.
Volterra filter requires huge computational complexity.
In this paper, we propose a computational complexity reduction method for the third--order Volterra filter based on singular value decomposition.
In the proposed reduction method, the needed coefficients of the third-order Volterra filter are determined according to the symmetric property and the singular value decomposition is then applied to the coefficients.
The computational complexity is reduced by removing paths with small singular values.
Hence, the proposed method can efficiently reduce the computational complexity.
Experimental results demonstrate that the proposed method can reduce the computational complexity while maintaining the compensation performance of the linearization system.
Keyword (in Japanese) (See Japanese page) 
(in English) Volterra filter / loudspeaker / nonlinear distortion / singular value decomposition / reduction of computational complexity / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 180, SIP2017-53, pp. 27-32, Aug. 2017.
Paper # SIP2017-53 
Date of Issue 2017-08-17 (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 2017-08-24 - 2017-08-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Tokyo Denki University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To SIP 
Conference Code 2017-08-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Computational Complexity Reduction for Third-order Volterra Filter Based on Singular Value Decomposition and the Application to the Compensation of Third-order Nonlinear Distortions 
Sub Title (in English)  
Keyword(1) Volterra filter  
Keyword(2) loudspeaker  
Keyword(3) nonlinear distortion  
Keyword(4) singular value decomposition  
Keyword(5) reduction of computational complexity  
1st Author's Name Yuya Nakahira  
1st Author's Affiliation Kansai University (Kansai Univ.)
2nd Author's Name Kenta Iwai  
2nd Author's Affiliation Kansai University (Kansai Univ.)
3rd Author's Name Yoshinobu Kajikawa  
3rd Author's Affiliation Kansai University (Kansai Univ.)
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Date Time 2017-08-24 14:40:00 
Presentation Time 25 
Registration for SIP 
Paper # IEICE-SIP2017-53 
Volume (vol) IEICE-117 
Number (no) no.180 
Page pp.27-32 
#Pages IEICE-6 
Date of Issue IEICE-SIP-2017-08-17 

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