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Fractional Spectral Graph Wavelets and Their Applications by Wu, Jiasong; Wu, Fuzhi; Yang, Qihan; Kong, Youyong; Liu, Xilin; Zhang, Yan; Senhadji, Lotfi; Shu, Huazhong is a scholarly article available to read on EtoBox.

What is Fractional Spectral Graph Wavelets and Their Applications about?

One of the key challenges in the area of signal processing on graphs is to design transforms and dictionaries methods to identify and exploit structure in signals on weighted graphs. In this paper, we first generalize graph Fourier transform (GFT) to graph fractional Fourier transform (GFRFT), 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. The potential applications of SGFRWT are also presented.

Author

Wu, Jiasong; Wu, Fuzhi; Yang, Qihan; Kong, Youyong; Liu, Xilin; Zhang, Yan; Senhadji, Lotfi; Shu, Huazhong

Published

2019

Language

EN