Relationships between Psi_B energy operator and some time-frequency representations
Relations entre Psi_B et quelques représentations temps-fréquence
dc.contributor.author
hal.structure.identifier | BOUDRAA, Abdel-Ouahab
|
dc.date.accessioned | 2014 |
dc.date.available | 2014 |
dc.date.issued | 2010 |
dc.date.submitted | 2014 |
dc.identifier.issn | 1070-9908 |
dc.identifier.uri | http://hdl.handle.net/10985/8916 |
dc.description.abstract | 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 representations (cross ambiguity function, short-time Fourier transform, Zak transform, and Gabor coefficients) are established. Link between Psi_B operator of two input signals and their cross-spectrum is also derived. For two equal input signals, we find that Fourier transform of Psi_B operator is proportional to the second derivative of the ambiguity function. The established links show the ability of Psi_B operator to analyze non stationary signals. A numerical example is provided for illustrating how to estimate the second order moment, of a FM signal, using Psi_B operator. We compare the result to the moment given by the Wigner-Ville distribution |
dc.language.iso | en |
dc.publisher | Institute of Electrical and Electronics Engineers |
dc.rights | Post-print |
dc.subject | Psi_B energy operator |
dc.subject | Cross-ambiguity function |
dc.subject | Short-time |
dc.subject | Fourier transform |
dc.subject | Gabor coefficients |
dc.subject | Cross-spectrum |
dc.subject | Opérateur d'énergie Psi_B, fonctiond'Ambiguïté croisée, Transformée de Fourier à Court terme, coefficients de Gabor, spectre croisé |
dc.title | Relationships between Psi_B energy operator and some time-frequency representations |
dc.title | Relations entre Psi_B et quelques représentations temps-fréquence |
dc.identifier.doi | 10.1109/LSP.2010.2045548 |
dc.typdoc | Article dans une revue avec comité de lecture |
dc.localisation | Centre de Paris |
dc.subject.hal | Sciences de l'ingénieur: Traitement du signal et de l'image |
ensam.audience | Internationale |
ensam.page | 527-530 |
ensam.journal | IEEE Signal Processing Letters |
ensam.volume | 17 |
ensam.issue | 6 |
ensam.language | fr |
hal.identifier | hal-01083621 |
hal.version | 1 |
hal.submission.permitted | updateFiles |
hal.status | accept |