A New Surrogating Algorithm by the Complex Graph Fourier Transform (CGFT) [PDF]
Entropy, 2019 The essential step of surrogating algorithms is phase randomizing the Fourier transform while preserving the original spectrum amplitude before computing the inverse Fourier transform.
Jordi Belda +4 more
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A Graph Fourier Transform Based Bidirectional Long Short-Term Memory Neural Network for Electrophysiological Source Imaging [PDF]
Frontiers in Neuroscience, 2022 Electrophysiological source imaging (ESI) refers to the process of reconstructing underlying activated sources on the cortex given the brain signal measured by Electroencephalography (EEG) or Magnetoencephalography (MEG).
Meng Jiao +8 more
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Graph Fourier transform for spatial omics representation and analyses of complex organs [PDF]
Nature CommunicationsSpatial omics technologies decipher functional components of complex organs at cellular and subcellular resolutions. We introduce Spatial Graph Fourier Transform (SpaGFT) and apply graph signal processing to a wide range of spatial omics profiling ...
Yuzhou Chang +15 more
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ECG Arrhythmia Classification using High Order Spectrum and 2D Graph Fourier Transform
Applied Sciences, 2020 Heart diseases are in the front rank among several kinds of life threats, due to its high incidence and mortality. Regarded as a powerful tool in the diagnosis of the cardiac disorder and arrhythmia detection, analysis of electrocardiogram (ECG) signals ...
Shu Liu +3 more
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A novel fault diagnosis method for power grid based on graph Fourier transform
Frontiers in Energy Research, 2023 The fast and robust identification of fault elements is essential for the security and continuous operation of the power grid. The existing methods might be maloperation for bad data disturbance and require strict and exact synchronization.
Xiaojun Liao +5 more
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Spectral graph fractional Fourier transform for directed graphs and its application
Signal Processing, 2023 In graph signal processing, many studies assume that the underlying network is undirected. Although the digraph model is rarely adopted, it is more appropriate for many applications, especially for real world networks. In this paper, we present a general framework for extending the graph signal processing to directed graphs in graph fractional domain ...
Bing-Zhao Li
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Computation of Graph Fourier Transform Centrality Using Graph Filter
IEEE Open Journal of Circuits and SystemsIn this paper, the computation of graph Fourier transform centrality (GFTC) of complex network using graph filter is presented. For conventional computation method, it needs to use the non-sparse transform matrix of graph Fourier transform (GFT) to ...
Chien-Cheng Tseng, Su-Ling Lee
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A joint range–angle–velocity estimation algorithm for FDA-MIMO radar based on graph signal processing [PDF]
Scientific ReportsIn this paper, a novel Frequency Diverse Array–Multiple Input Multiple Output (FDA-MIMO) radar parameter estimation algorithm based on Graph Signal Processing (GSP) is proposed for joint range–angle–velocity estimation.
Qinlin Li +6 more
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Fourier could be a data scientist: From graph Fourier transform to signal processing on graphs
Comptes Rendus Physique, 2019 The legacy of Joseph Fourier in science is vast, especially thanks to the essential tool that the Fourier transform is. The flexibility of this analysis, its computational efficiency and the physical interpretation it offers makes it a cornerstone in many scientific domains.
Nicolas Tremblay +2 more
exaly +5 more sources
Research on a Wind Turbine Gearbox Fault Diagnosis Method Using Singular Value Decomposition and Graph Fourier Transform [PDF]
SensorsGearboxes operate in challenging environments, which leads to a heightened incidence of failures, and ambient noise further compromises the accuracy of fault diagnosis.
Lan Chen +3 more
doaj +2 more sources