A new reconstruction formula and shift frame for WGFRFT

Fang-Jia Yan; Bing-Zhao Li

doi:10.1117/12.3004873

20 October 2023 A new reconstruction formula and shift frame for WGFRFT

Fang-Jia Yan, Bing-Zhao Li

Proceedings Volume 12916, Third International Conference on Signal Image Processing and Communication (ICSIPC 2023); 1291614 (2023) https://doi.org/10.1117/12.3004873
Event: Third International Conference on Signal Image Processing and Communication (ICSIPC 2023), 2023, Kunming, China

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.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Fang-Jia Yan and Bing-Zhao Li "A new reconstruction formula and shift frame for WGFRFT", Proc. SPIE 12916, Third International Conference on Signal Image Processing and Communication (ICSIPC 2023), 1291614 (20 October 2023); https://doi.org/10.1117/12.3004873

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available