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A Fast Fourier Transform for the Johnson Graph
Journal of Fourier Analysis and Applications, 2022 21 pages, 8 figures.
Rodrigo Iglesias, Mauro Natale
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Graph Fourier transforms on directed product graphs
CoRR, 2022 Graph Fourier transform (GFT) is one of the fundamental tools in graph signal processing to decompose graph signals into different frequency components and to represent graph signals with strong correlation by different modes of variation effectively. The GFT on undirected graphs has been well studied and several approaches have been proposed to define
Cheng Cheng 0003 +3 more
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Error Estimates on Approximating the Finite Fourier Transform of Complex-Valued Functions via a Pre-Grüss Inequality [PDF]
, 2004 Some estimates for the error in approximating the Finite Fourier Transform in terms of exponential means via a pre-Grüss inequality for complex-valued functions are ...
Hanna, George T +2 more
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Applications of Fourier transform infrared spectroscopy [PDF]
, 2012 Podeu consultar el llibre complet a: http://hdl.handle.net/2445/32166This article summarizes the basic principles of Fourier Transform Infrared Spectroscopy, with examples of methodologies and applications to different field ...
Ferrer i Felis, Núria
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Fast Spectral Approximation of Structured Graphs with Applications to Graph Filtering
Algorithms, 2020 To analyze and synthesize signals on networks or graphs, Fourier theory has been extended to irregular domains, leading to a so-called graph Fourier transform.
Mario Coutino +3 more
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Graph Analysis Using Fast Fourier Transform Applied on Grayscale Bitmap Images
Information, 2021 There is spiking interest in graph analysis, mainly sparked by social network analysis done for various purposes. With social network graphs often achieving very large size, there is a need for capable tools to perform such an analysis.
Pawel Baszuro, Jakub Swacha
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Graph signal processing based underwater image enhancement techniques
Engineering Science and Technology, an International Journal, 2022 This paper presents two new methods based on graph signal processing (GSP) techniques to enhance underwater images. The proposed schemes utilize the graph Fourier transform (GFT) and graph wavelet filterbanks in place of the conventional Fourier and ...
Shobha Sharma, Tarun Varma
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Graph Neural Network for Traffic Flow Situation Prediction
Jisuanji kexue yu tansuo, 2021 Road network structure integrated traffic flow situation prediction is a highly nonlinear and complexly spatial-temporal dynamic correlation time-series data prediction problem. However, traditional traffic flow situation forecasting methods cannot model
JIANG Shan, DING Zhiming, XU Xinrun, YAN Jin
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Fast Discrete Fourier Transform Computations Using the Reduced Adder Graph Technique
EURASIP Journal on Advances in Signal Processing, 2007 It has recently been shown that the n-dimensional reduced adder graph (RAG-n) technique is beneficial for many DSP applications such as for FIR and IIR filters, where multipliers can be grouped in multiplier blocks.
Andrew G. Dempster +2 more
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Geary’s c and Spectral Graph Theory
Mathematics, 2021 Spatial autocorrelation, of which Geary’s c has traditionally been a popular measure, is fundamental to spatial science. This paper provides a new perspective on Geary’s c.
Hiroshi Yamada
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