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Fourier transform for signals on dynamic graphs
2014 48th Asilomar Conference on Signals, Systems and Computers, 2014Signal processing on graphs offers a new way of analyzing multivariate signals. The different relationships among the sources generating the multivariate signals can be captured by weighted graphs where the nodes are the signal sources and the edges correspond to the relationships between these signals.
Arash Golibagh Mahyari, Selin Aviyente
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A graph Fourier transform and proportional graphs
Random Structures & Algorithms, 1995AbstractA Fourier transform for (real valued) functions of graphs is denned. This is used to study and characterize some classes of graphs that arise as exceptional cases in limit theorems for subgraph counts in random graphs.
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A new windowed graph Fourier transform
2017 4th NAFOSTED Conference on Information and Computer Science, 2017Many 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 ...
Le Trung Thanh +3 more
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Fourier Transform vs. Graph Fourier Transform for EEG-Based Emotion Recognition
2020Electroencephalogram (EEG)-based feature extraction for emotion recognition is a very challenging task. The vast majority of the feature extraction approaches are based on the frequency characteristics of the EEG signals which are extracted using, e.g., the traditional Fourier Transform approach.
Panagiotis C. Petrantonakis +2 more
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Graph Fourier Transform for directed graphs based on Lovász extension of min-cut
2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2017A key tool to analyze signals defined over a graph is the so called Graph Fourier Transform (GFT). Alternative definitions of GFT have been proposed, based on the eigen-decomposition of either the graph Laplacian or adjacency matrix. In this paper, we introduce an alternative approach, valid for the general case of directed graphs, that builds the ...
Sardellitti, Stefania +2 more
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Slides: Graph Fourier Transform for Directed Graphs
Graph Fourier transform (GFT) is one of the fundamental tools in graph signal processing to decompose graph signals into different frequency components and effectively represent graph signals with strong correlations using various modes of variation.openaire +1 more source
Graph Fourier Transform Based on ℓ1 Norm Variation Minimization
Applied and Computational Harmonic Analysis, 2021Chao Huang, Jianfeng Huang, Lihua Yang
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Windowed Fractional Fourier Transform on Graphs: Properties and Fast Algorithm
Digital Signal Processing, 2021Bing-Zhao Li
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Graph Fourier Transforms on Signed Graphs
Proceedings of the 2024 12th International Conference on Communications and Broadband NetworkingYang Chen 0047 +3 more
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Fourier transformations of hypergraphs and graphs
Cybernetics, 1981Bandman, O. L., Markova, V. P.
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