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Paper Abstract and Keywords
Presentation 2023-03-01 16:10
On Design of Real Filters For Directed Graph Signals
Shogo Muramatsu, Hotaka Kitamura, Hiroyashu Yasuda (Niigta Univ.), Yuichi Tanaka (Osaka Univ.) EA2022-124 SIP2022-168 SP2022-88
Abstract (in Japanese) (See Japanese page) 
(in English) This study investigates a real-valued filter realization for directed graph signals. The authors proposed a para-graph Fourier transform (ParaGFT) by considering a directed graph (digraph) with weights as an undirected graph with complex weights and defining a graph Laplacian with Hermitian symmetry along with a new degree matrix. ParaGFT is a unitary GFT that can set ordinalizable graph frequencies, resulting in filtering on directed graph signals. However, there is a problem with complex outputs for real inputs. Thus, this study clarifies the conditions for a graph filter that produces real outputs for real inputs in the ParaGFT domain. In addition, examples of directed graphs that can realize real-valued filters are discussed to verify the validity of the theories.
Keyword (in Japanese) (See Japanese page) 
(in English) digraph / graph signal processing / graph Fourier transform / graph filtering / / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 388, SIP2022-168, pp. 282-287, Feb. 2023.
Paper # SIP2022-168 
Date of Issue 2023-02-21 (EA, SIP, SP) 
ISSN Online edition: ISSN 2432-6380
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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 EA2022-124 SIP2022-168 SP2022-88

Conference Information
Committee SP IPSJ-SLP EA SIP  
Conference Date 2023-02-28 - 2023-03-01 
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 2023-02-SP-SLP-EA-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On Design of Real Filters For Directed Graph Signals 
Sub Title (in English)  
Keyword(1) digraph  
Keyword(2) graph signal processing  
Keyword(3) graph Fourier transform  
Keyword(4) graph filtering  
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1st Author's Name Shogo Muramatsu  
1st Author's Affiliation Niigata University (Niigta Univ.)
2nd Author's Name Hotaka Kitamura  
2nd Author's Affiliation Niigata University (Niigta Univ.)
3rd Author's Name Hiroyashu Yasuda  
3rd Author's Affiliation Niigata University (Niigta Univ.)
4th Author's Name Yuichi Tanaka  
4th Author's Affiliation Osaka University (Osaka Univ.)
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Speaker Author-1 
Date Time 2023-03-01 16:10:00 
Presentation Time 20 minutes 
Registration for SIP 
Paper # EA2022-124, SIP2022-168, SP2022-88 
Volume (vol) vol.122 
Number (no) no.387(EA), no.388(SIP), no.389(SP) 
Page pp.282-287 
#Pages
Date of Issue 2023-02-21 (EA, SIP, SP) 


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