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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A short-graph Fourier transform via personalized PageRank vectors [PDF]
2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2016 The short-time Fourier transform (STFT) is widely used to analyze the spectra of temporal signals that vary through time. Signals defined over graphs, due to their intrinsic complexity, exhibit large variations in their patterns.
Sapiro, Guillermo, Tepper, Mariano
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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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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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NFFT Meets Krylov Methods: Fast Matrix-Vector Products for the Graph Laplacian of Fully Connected Networks [PDF]
Frontiers in Applied Mathematics and Statistics, 2018 The graph Laplacian is a standard tool in data science, machine learning, and image processing. The corresponding matrix inherits the complex structure of the underlying network and is in certain applications densely populated.
Dominik Alfke +3 more
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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
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Graph Fourier Transform Based Audio Zero-Watermarking [PDF]
IEEE Signal Processing Letters, 2021 The frequent exchange of multimedia information in the present era projects an increasing demand for copyright protection. In this work, we propose a novel audio zero-watermarking technology based on graph Fourier transform for enhancing the robustness with respect to copyright protection.
Longting Xu +4 more
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A graph-based narrowband matched-field source localization method [PDF]
JASA Express Letters, 2021 Matched field processing (MFP) has been regarded as one of the most successful acoustical methods for positioning underwater sources. In this paper, the narrowband MFP method is combined with a recently developed framework—the graph signal processing ...
Peng Xiao, Jianmin Yang
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