Redundant graph Fourier transform
Xianwei Zheng1; Yuanyan Tang1; Jiantao Zhou1; Lina Yang1,2; Haoliang Yuan1; Yulong Wang1; Chunli Li1
Conference NameIEEE 2nd International Conference on Cybernetics (CYBCONF)
Source PublicationProceedings - 2015 IEEE 2nd International Conference on Cybernetics, CYBCONF 2015
Conference Date24-26 June 2015
Conference PlaceGdynia, POLAND
PublisherIEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA

Signal processing on graphs is a new emerging field that processing high-dimensional data by spreading samples on networks or graphs. The new introduced definition of graph Fourier transform shows its importance in establishing the theory of frequency analysis or computational harmonic analysis on graph signal processing. We introduce the definition of redundant graph Fourier transform, which is defined via a Parseval frame transform generated from an extended Laplacian of a given graph. The flexibility and sparsity of the redundant graph Fourier transform are important properties that will be useful in signal processing. In certain applications and by selections of the extended Laplacian, redundant Fourier transform performs better than graph Fourier transform.

KeywordGraph Fourier Transform Graph Laplacian Matrix Redundant Graph Fourier Transform Signal Compression
URLView the original
Indexed BySCI
WOS Research AreaComputer Science
WOS SubjectComputer Science, Cybernetics
WOS IDWOS:000373207200071
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionUniversity of Macau
Affiliation1.Department of Computer and Information Science, University of Macau 999078, Macau
2.Guangxi Normal University for Nationalities, Chongzuo, China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Xianwei Zheng,Yuanyan Tang,Jiantao Zhou,et al. Redundant graph Fourier transform[C]:IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA,2015:406-409.
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