HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

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
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.
Document type :
Conference papers
Complete list of metadata

Cited literature [40 references]  Display  Hide  Download

https://hal.inria.fr/hal-01878753
Contributor : Paulo Gonçalves Connect in order to contact the contributor
Submitted on : Friday, September 21, 2018 - 1:59:08 PM
Last modification on : Friday, February 4, 2022 - 3:11:21 AM
Long-term archiving on: : Saturday, December 22, 2018 - 4:55:47 PM

File

ssp_analytic_signal.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01878753, version 1

Citation

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⟩

Share

Metrics

Record views

85

Files downloads

311