Fractional Spectral Graph Wavelets and Their Applications

Wu Jiasong; Wu Fuzhi; Yang QihanZhang YanLiu XilinKong YouyongSenhadji LotfiShu Huazhong

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Fractional Spectral Graph Wavelets and Their Applications

机译：Fractional Spectral Graph Wavelets and Their Applications

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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.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2020年第40期|2568179.1-2568179.18|共18页
作者
Wu Jiasong; Wu Fuzhi; Yang QihanZhang YanLiu XilinKong YouyongSenhadji LotfiShu Huazhong;
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Southeast Univ, Lab Image Sci & Technol LIST, Key Lab Comp Network & Informat Integrat, Minist Educ, Nanjing 210096, Peoples R China|Univ Rennes, INSERM, LTSI UMR 1099, F-35042 Rennes, France|Univ Rennes, Ctr Rech Informat Biomed Sino Francais CRIBs, INSE;

Southeast Univ, Lab Image Sci & Technol LIST, Key Lab Comp Network & Informat Integrat, Minist Educ, Nanjing 210096, Peoples R China;

Taiyuan Univ Technol, Coll Data Sci, Taiyuan 030024, Peoples R ChinaSoutheast Univ, Lab Image Sci & Technol LIST, Key Lab Comp Network & Informat Integrat, Minist Educ, Nanjing 210096, Peoples R China|Univ Rennes, Ctr Rech Informat Biomed Sino Francais CRIBs, INSERM, Rennes, France|Southeast Univ, Nanjing, Peoples R ChinaUniv Rennes, INSERM, LTSI UMR 1099, F-35042 Rennes, France|Univ Rennes, Ctr Rech Informat Biomed Sino Francais CRIBs, INSERM, Rennes, France|Southeast Univ, Nanjing, Peoples R China;

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Fractional Spectral Graph Wavelets and Their Applications

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