Psi_B-energy operator and cross-power spectral density
TypeArticles dans des revues avec comité de lecture
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.
Showing items related by title, author, creator and subject.
BOUCHIKHI, Abdelkhalek; BOUDRAA, Abdel-Ouahab; CEXUS, Jean-Christophe; CHONAVEL, Thierry (IEEE, 2014)A novel detection approach of linear FM (LFM) signals, with single or multiple components, in the time-frequency plane of Teager-Huang (TH) transform is presented. The detection scheme that combines TH transform and Hough ...
A New class of multi-dimensional Teager Kaiser and higher order operators based on directional derivatives SALZENSTEIN, Fabien; BOUDRAA, Abdel-Ouahab; CHONAVEL, Thierry (Springer, 2013)This work aims at introducing some energy operators linked to Teager-Kaiser energy operator and its associated higher order versions and expand them to multidimensional signals. These operators are very useful for analyzing ...
KOMATY, Ali; DARE, Delphine; BOUDRAA, Abdel-Ouahab (2013)Dans cet article, nous proposons un nouveau schéma de débruitage des signaux basé sur la décomposition modale empirique associée à une analyse fréquentielle. Le principe de l’approche consiste à seuiller les modes extraits ...
DIOP, El Hadji; ALEXANDRE, Radjesvarane; BOUDRAA, Abdel-Ouahab (IEEE, 2010)The empirical mode decomposition is a powerful tool for signal processing. Because of its original algorithmic, recent works have contributed to its theoretical framework. Following these works, some mathematical contributions ...
BOUDRAA, Abdel-Ouahab (IEEE, 2010)Psi_B operator is an energy operator that measures the interactions between two complex signals. In this letter, new properties of Psi_B operator are presented. Connections between Psi_B operator and some time-frequency ...