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Psi_B-energy operator and cross-power spectral density

Article dans une revue avec comité de lecture
Author
BOUDRAA, Abdel-Ouahab
13094 Institut de Recherche de l'Ecole Navale [IRENAV]
CHONAVEL, Thierry
265401 Telecom Bretagne, Lab-STIC, Brest
CEXUS, Jean-Christophe
265401 Telecom Bretagne, Lab-STIC, Brest

URI
http://hdl.handle.net/10985/8999
DOI
10.1016/j.sigpro.2013.05.022
Date
2014
Journal
Signal Processing

Abstract

In this paper we consider the hermitian extension of the cross-Psi_B-energy operator that we will denote by Psi_H. In addition, cross energy terms are formalized through multivariate signals representation. We investigate the connection between the interaction energy function of Psi_H and the cross-power spectral density (CPSD)of two complex valued signals. In particular, this link permits to use this operator for estimating the CPSD. We illustrate the interest of Psi_H as a similarity between a pair of signals in frequency domain on synthetic and real data.

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