BOUDRAA, Abdel-Ouahab

doi:10.1109/LSP.2010.2045548

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BOUDRAA, Abdel-Ouahab
Institut de Recherche de l'Ecole Navale [IRENAV]

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IEEE Signal Processing Letters. 2010-06, vol. 17, n° 6, p. 527-530

IEEE

Résumé en anglais

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< Réduire

Mots clés

Gabor coefficients

Fourier transform

Short-time

Cross-ambiguity function

Psi_B energy operator

Cross-spectrum

Opérateur d'énergie Psi_B

fonctiond'Ambiguïté croisée

Transformée de Fourier à Court terme

coefficients de Gabor

spectre croisé

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Relationships between Psi_B energy operator and some time-frequency representations

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