Fractional Spectral Graph Wavelets and Their Applications
Joint Authors
Liu, Xilin
Wu, Jiasong
Wu, Fuzhi
Yang, Qihan
Kong, Youyong
Senhadji, Lotfi
Shu, Huazhong
Zhang, Yan
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-06
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
One of the key challenges in the area of signal processing on graphs is to design transforms and dictionary methods to identify and exploit structure in signals on weighted graphs.
In this paper, we first generalize graph Fourier transform (GFT) to spectral graph fractional Fourier transform (SGFRFT), which is then used to define a novel transform named spectral graph fractional wavelet transform (SGFRWT), which is a generalized and extended version of spectral graph wavelet transform (SGWT).
A fast algorithm for SGFRWT is also derived and implemented based on Fourier series approximation.
Some potential applications of SGFRWT are also presented.
American Psychological Association (APA)
Wu, Jiasong& Wu, Fuzhi& Yang, Qihan& Zhang, Yan& Liu, Xilin& Kong, Youyong…[et al.]. 2020. Fractional Spectral Graph Wavelets and Their Applications. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1193948
Modern Language Association (MLA)
Wu, Jiasong…[et al.]. Fractional Spectral Graph Wavelets and Their Applications. Mathematical Problems in Engineering No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1193948
American Medical Association (AMA)
Wu, Jiasong& Wu, Fuzhi& Yang, Qihan& Zhang, Yan& Liu, Xilin& Kong, Youyong…[et al.]. Fractional Spectral Graph Wavelets and Their Applications. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1193948
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193948
