@inproceedings{558b0a67995044f98566e0535d9c87fb,
title = "A New Reconstruction Formula and Shift Frame for WGFRFT",
abstract = "The study of signals defined on irregular domains has garnered significant attention, and the field of graph signal processing has emerged as a way to model such signals using underlying graph structures. Vertex frequency analysis is a crucial tool for graph signal analysis and representation. Finding different kinds of frames via the windowed graph fractional Fourier transform (WGFRFT) is necessary to extract the characteristics of graph signals. To overcome this issue, we introduce the concept of the dual of WGFRFT frame and use it to develop a new reconstruction formula for graph signals. Additionally, we propose fractional shift frame. Finally, to highlight the utility of our proposed frames, we present some examples which use our fractional shift frame to extract the spectrum of graph signal.",
keywords = "Fractional Fourier transform, Frame, Graph Fourier transform, Graph signal processing, Vertex frequency analysis",
author = "Yan, {Fang Jia} and Li, {Bing Zhao}",
note = "Publisher Copyright: {\textcopyright} 2023 SPIE.; 3rd International Conference on Signal Image Processing and Communication, ICSIPC 2023 ; Conference date: 26-05-2023 Through 28-05-2023",
year = "2023",
doi = "10.1117/12.3004873",
language = "English",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
editor = "Gang Wang and Lei Chen",
booktitle = "Third International Conference on Signal Image Processing and Communication, ICSIPC 2023",
address = "United States",
}