eprintid: 3034
rev_number: 10
eprint_status: archive
userid: 17
dir: disk0/00/00/30/34
datestamp: 2018-06-18 16:20:36
lastmod: 2018-12-17 19:34:29
status_changed: 2018-12-17 19:34:29
type: conference_item
succeeds: 2597
metadata_visibility: show
creators_name: Le, Trung Thanh
creators_name: Nguyen, Linh Trung
creators_name: Nguyen, Viet Dung
creators_name: Abed-Meraim, Karim
creators_id: letrungthanhtbt@gmail.com
creators_id: linhtrung@vnu.edu.vn
creators_id: nvdung@vnu.edu.vn
creators_id: karim.abed-meraim@univ-orleans.fr
title: A New Windowed Graph Fourier Transform
ispublished: pub
subjects: ECE
subjects: IT
divisions: avitech
divisions: fac_fet
abstract: 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
date_type: published
official_url: https://doi.org/10.1109/NAFOSTED.2017.8108055
contact_email: linhtrung@vnu.edu.vn
full_text_status: public
pres_type: paper
pagerange: 150-155
event_title: The 4th NAFOSTED Conference on Information and Computer Science (NICS)
event_location: Hanoi, Vietnam
event_dates: 24-25 November 2017
event_type: conference
refereed: TRUE
related_url_url: https://ieeexplore.ieee.org/abstract/document/8108055/
related_url_type: pub
citation:   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.     
document_url: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/3034/1/1570395521%20%281%29.pdf