Relationships between Psi_B energy operator and some time-frequency representations
Relations entre Psi_B et quelques représentations temps-fréquence
Article dans une revue avec comité de lecture
Date
2010Journal
IEEE Signal Processing LettersAbstract
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
Files in this item
Collections
Related items
Showing items related by title, author, creator and subject.
-
Communication avec acteDans cet article, nous présentons une stratégie de détection d’épilepsie à partir de signaux EEG (issus d’un seul capteur) basée sur l’algorithme de visibilité, qui consiste à transformer une série temporelle en un graphe ...
-
Article dans une revue avec comité de lectureIn this paper a new method for voiced speech enhancement combining the Empirical Mode Decomposition (EMD) and the Adaptive Center Weighted Average (ACWA) filter is introduced. Noisy signal is decomposed adaptively into ...
-
Article dans une revue avec comité de lectureIn this paper a new adaptive audio watermarking algorithm based on Empirical Mode Decomposition (EMD) is introduced. The audio signal is divided into frames and each one is decomposed adaptively, by EMD, into intrinsic ...
-
Article dans une revue avec comité de lectureIn this letter a new signals coding framework based on the Empirical Mode Decomposition (EMD) is introduced. The EMD breaks down any signal into a reduced number of oscillating components called Intrinsic Modes Decomposition ...
-
Article dans une revue avec comité de lecturePsi_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 ...