Time-Frequency distributions with generalized complex lag argument

Cedric Cornu (1) , Srdjan Stankovic (2) , Cornel Ioana (3) , André Quinquis (4) , Ljubisa Stankovic (2)

1 Thales Systemes Aeroportes
2 Groupe TFSA
3 GIPSA-SIGMAPHY - GIPSA - Signal Images Physique
4 E3I2 - Extraction et Exploitation de l'Information en Environnements Incertains

This paper introduces a new generalized complex lag moment which produces ”time-phase derivatives” distributions. For the choice of the ”time-first phase derivative” which stands for time-frequency representation, this distribution can be seen as a form of the Wigner-Ville distribution. Moreover, this generalization leads to distributions with highly reduced inner interferences caused by the nonlinearity of the signal's phase. It can also be seen as a polynomial distribution since the distribution of Nth order produces no inner interferences for polynomial phase law of order N. Implementation problems of this distribution are presented. The results are illustrated by examples

Mots clés: Time-frequency; phase non linearity; representation; analytic continuation

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Cedric Cornu, Srdjan Stankovic, Cornel Ioana, André Quinquis, Ljubisa Stankovic. Time-Frequency distributions with generalized complex lag argument. IEEE Transactions on Signal Processing, 2007, 55 (10), pp.4831-4838. ⟨hal-00349335⟩