دورية أكاديمية

Fractional Spectral Graph Wavelets and Their Applications

التفاصيل البيبلوغرافية
العنوان: Fractional Spectral Graph Wavelets and Their Applications
المؤلفون: Jiasong Wu, Fuzhi Wu, Qihan Yang, Yan Zhang, Xilin Liu, Youyong Kong, Lotfi Senhadji, Huazhong Shu
المصدر: Hindawi, Mathematical Problems in Engineering. 2020:1-18
سنة النشر: 2020
الوصف: 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.
نوع الوثيقة: redif-article
اللغة: English
DOI: 10.1155/2020/2568179
الإتاحة: https://ideas.repec.org/a/hin/jnlmpe/2568179.html
رقم الأكسشن: edsrep.a.hin.jnlmpe.2568179
قاعدة البيانات: RePEc