relation: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/3034/
title: A New Windowed Graph Fourier Transform
creator: Le, Trung Thanh
creator: Nguyen, Linh Trung
creator: Nguyen, Viet Dung
creator: Abed-Meraim, Karim
subject: Electronics and Communications
subject: Information Technology (IT)
description: Many practical networks can be mathematically modeled as graphs. Graph signal processing (GSP), intersecting graph theory and computational harmonic analysis, can be used to analyze graph signals. Just as short-time Fourier transform (STFT) for time-frequency analysis in classical signal processing, we have windowed graph Fourier transform (WGFT) for vertex-frequency analysis in GSP. In this paper, we introduced a new graph modulation operator that satisfies the property of spectral conservation, and a new graph translation operator with interesting properties. Based on these operators, we presented a new method to obtain the WGFT with a tight vertex-frequency frame. These GSP tools were developed based on the graph adjacency matrix. Using time-series graph, USA graph and random graph as examples, we showed by simulation the advantages of our proposed GSP tools over the state-of-the-arts.
date: 2017-11-24
type: Conference or Workshop Item
type: PeerReviewed
format: application/pdf
language: en
identifier: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/3034/1/1570395521%20%281%29.pdf
identifier:   Le, Trung Thanh and Nguyen, Linh Trung and Nguyen, Viet Dung and Abed-Meraim, Karim  (2017) A New Windowed Graph Fourier Transform.  In: The 4th NAFOSTED Conference on Information and Computer Science (NICS), 24-25 November 2017, Hanoi, Vietnam.     
relation: https://doi.org/10.1109/NAFOSTED.2017.8108055