Multidimensional analytic signal with application on graphs

Mikhail Tsitsvero 1 Pierre Borgnat 2 Paulo Gonçalves 1
1 DANTE - Dynamic Networks : Temporal and Structural Capture Approach
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme, IXXI - Institut Rhône-Alpin des systèmes complexes
2 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
Abstract : In this work we provide an extension to analytic signal method for multidimensional signals. First, expressions for separate phase-shifted components are given. Second, we show that phase-shifted components could be obtained from hypercomplex Fourier transform in the algebra of commuta-tive hypercomplex numbers. Finally we apply multidimen-sional analytic signal method to signals defined on graphs.
Keywords : hypercomplex and Clif-ford Fourier transforms Hilbert transform analytic signal on graph diffusion maps Index Terms-Analytic signal
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Conference papers
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Mikhail Tsitsvero, Pierre Borgnat, Paulo Gonçalves. Multidimensional analytic signal with application on graphs. SSP 2018 - IEEE Workshop on Statistical Signal Processing, IEEE, Jun 2018, Freiburg, Germany. pp.1-5. ⟨hal-01878753⟩

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