Relationships between Psi_B energy operator and some time-frequency representations
Relations entre Psi_B et quelques représentations temps-fréquence
TypeArticles dans des revues avec comité de lecture
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
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BOUDRAA, Abdel-Ouahab; CHONAVEL, Thierry; CEXUS, Jean-Christophe (Elsevier, 2014)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 ...
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BOUDRAA, Abdel-Ouahab (Institution of Engineering and Technology, 2011)Psi_B energy operator is an extension of the cross Teager-Kaiser energy operator which is an non-linear energy tracking operator to deal with complex signals and its usefulness for non-stationary signals analysis has been ...
GUILLON, Laurent; BOUDRAA, Abdel-Ouahab (The Acoustical Society of America, 2014)This letter presents an improvement of the image source method (ISM) for geoacoustic inversion. The new algorithm is based on the Teager-Kaiser Energy Operator which ampli es the discontinuities in signals while the soft ...