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Conference Papers Year : 2018

Multidimensional analytic signal with application on graphs

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.
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Dates and versions

hal-01878753 , version 1 (21-09-2018)

Identifiers

  • HAL Id : hal-01878753 , version 1

Cite

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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