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Fractional Spectral Graph Wavelets and Their Applications

Abstract : 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 SGFRWTare also presented.
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https://hal-univ-rennes1.archives-ouvertes.fr/hal-03004381
Contributor : Lotfi Senhadji <>
Submitted on : Friday, November 13, 2020 - 4:03:07 PM
Last modification on : Monday, January 18, 2021 - 1:06:27 PM
Long-term archiving on: : Sunday, February 14, 2021 - 7:28:59 PM

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Jiasong Wu, Fuzhi Wu, Qihan Yang, Yan Zhang, Xilin Liu, et al.. Fractional Spectral Graph Wavelets and Their Applications. Mathematical Problems in Engineering, Hindawi Publishing Corporation, 2020, 2020, pp.1 - 18. ⟨10.1155/2020/2568179⟩. ⟨hal-03004381⟩

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