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Paper Abstract and Keywords
Presentation 2026-03-04 14:30
[Poster Presentation] Construction of a Unique Graph Fourier Transform Independent of the Implementation of Spectral Decomposition
Takuya Miyazawa, Natsuki Yoshino, Akira Tanaka (Hokkaido Univ.) EA2025-162 SIP2025-182 SP2025-115
Abstract (in Japanese) (See Japanese page) 
(in English) The graph Fourier transform plays a central role in graph signal processing. It is defined as a basis transformation using the eigenvectors of the graph Laplacian. However, the directions of eigenvectors are not uniquely determined, and if the dimension of the eigenspace is two or more, there is freedom in the choice of eigenvectors in the eigenspace. As a result, the graph Fourier transform depends on the implementation of spectral decomposition and lacks uniqueness. In this paper, we propose an algorithm that provides a unique graph Fourier transform independent of the implementation of spectral decomposition.
Keyword (in Japanese) (See Japanese page) 
(in English) Graph Signal Processing / Graph Fourier Transform (GFT) / Spectral Decomposition / Graph Laplacian / / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 370, SIP2025-182, pp. 520-525, March 2026.
Paper # SIP2025-182 
Date of Issue 2026-02-23 (EA, SIP, SP) 
ISSN 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 EA2025-162 SIP2025-182 SP2025-115

Conference Information
Committee SP EA SIP IPSJ-SLP  
Conference Date 2026-03-02 - 2026-03-04 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To SIP 
Conference Code 2026-03-SP-EA-SIP-SLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Construction of a Unique Graph Fourier Transform Independent of the Implementation of Spectral Decomposition 
Sub Title (in English)  
Keyword(1) Graph Signal Processing  
Keyword(2) Graph Fourier Transform (GFT)  
Keyword(3) Spectral Decomposition  
Keyword(4) Graph Laplacian  
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1st Author's Name Takuya Miyazawa  
1st Author's Affiliation Hokkaido University (Hokkaido Univ.)
2nd Author's Name Natsuki Yoshino  
2nd Author's Affiliation Hokkaido University (Hokkaido Univ.)
3rd Author's Name Akira Tanaka  
3rd Author's Affiliation Hokkaido University (Hokkaido Univ.)
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Speaker Author-1 
Date Time 2026-03-04 14:30:00 
Presentation Time 80 minutes 
Registration for SIP 
Paper # EA2025-162, SIP2025-182, SP2025-115 
Volume (vol) vol.125 
Number (no) no.369(EA), no.370(SIP), no.371(SP) 
Page pp.520-525 
#Pages 6 
Date of Issue 2026-02-23 (EA, SIP, SP) 

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