Presentation 2021-03-03
Design of Graph Signal Sampling Matrices for Arbitrary Signal Subspaces
Junya Hara, Koki Yamada, Shunsuke Ono, Yuichi Tanaka,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We propose a design method of sampling matrices for graph signals that guarantees perfect recovery for arbitrary graph signal subspaces. When the signal subspace is known, perfect reconstruction is always possible from the samples with an appropriately designed sampling matrix. However, most graph signal sampling methods so far design sampling matrices based on the bandlimited assumption and sometimes violates the perfect reconstruction condition for the other signal models. In this paper, we formulate an optimization problem for the design of the sampling matrix that guarantees perfect recovery, thanks to a generalized sampling framework for standard signals. In experiments with various signal models, our sampling matrix presents better reconstruction accuracies both for noiseless and noisy situations.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) graph signal sampling / generalized sampling / correction filter / ADMM
Paper # EA2020-61,SIP2020-92,SP2020-26
Date of Issue 2021-02-24 (EA, SIP, SP)

Conference Information
Committee EA / US / SP / SIP / IPSJ-SLP
Conference Date 2021/3/3(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English) Speech, Engineering/Electro Acoustics, Signal Processing, Ultrasonics, and Related Topics
Chair Kenichi Furuya(Oita Univ.) / Hikaru Miura(Nihon Univ.) / Hisashi Kawai(NICT) / Kazunori Hayashi(Kyoto Univ.) / 北岡 教英(豊橋技科大)
Vice Chair Yoshinobu Kajikawa(Kansai Univ.) / Kentaro Matsui(NHK) / Jun Kondo(Shizuoka Univ.) / Yoshikazu Koike(Shibaura Inst. of Tech.) / / Yukihiro Bandou(NTT) / Toshihisa Tanaka(Tokyo Univ. Agri.&Tech.)
Secretary Yoshinobu Kajikawa(Univ. of Tokyo) / Kentaro Matsui(NTT) / Jun Kondo(Doshisha Univ.) / Yoshikazu Koike(Tohoku Univ.) / (Univ. of Tokyo) / Yukihiro Bandou(Waseda Univ.) / Toshihisa Tanaka(Hosei Univ.) / (Waseda Univ.)
Assistant Yukou Wakabayashi(Tokyo Metropolitan Univ.) / Tatsuya Komatsu(LINE) / Shinnosuke Hirata(Tokyo Inst. of Tech.) / Yusuke Ijima(NTT) / Yuichi Tanaka(Tokyo Univ. Agri.&Tech.)

Paper Information
Registration To Technical Committee on Engineering Acoustics / Technical Committee on Ultrasonics / Technical Committee on Speech / Technical Committee on Signal Processing / Special Interest Group on Spoken Language Processing
Language ENG-JTITLE
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Design of Graph Signal Sampling Matrices for Arbitrary Signal Subspaces
Sub Title (in English)
Keyword(1) graph signal sampling
Keyword(2) generalized sampling
Keyword(3) correction filter
Keyword(4) ADMM
1st Author's Name Junya Hara
1st Author's Affiliation Tokyo University of Agriculture and Technology(TUAT)
2nd Author's Name Koki Yamada
2nd Author's Affiliation Tokyo University of Agriculture and Technology(TUAT)
3rd Author's Name Shunsuke Ono
3rd Author's Affiliation Tokyo Institute of Technology(TIT)
4th Author's Name Yuichi Tanaka
4th Author's Affiliation Tokyo University of Agriculture and Technology(TUAT)
Date 2021-03-03
Paper # EA2020-61,SIP2020-92,SP2020-26
Volume (vol) vol.120
Number (no) EA-397,SIP-398,SP-399
Page pp.pp.9-14(EA), pp.9-14(SIP), pp.9-14(SP),
#Pages 6
Date of Issue 2021-02-24 (EA, SIP, SP)