%0 Journal Article %T Time-Frequency distributions with generalized complex lag argument %+ Thales Systemes Aeroportes %+ Groupe TFSA %+ GIPSA - Signal Images Physique (GIPSA-SIGMAPHY) %+ Extraction et Exploitation de l'Information en Environnements Incertains (E3I2) %A Cornu, Cedric %A Stankovic, Srdjan %A Ioana, Cornel %A Quinquis, André %A Stankovic, Ljubisa %Z WOS %< avec comité de lecture %Z Département Images et Signal %@ 1053-587X %J IEEE Transactions on Signal Processing %I Institute of Electrical and Electronics Engineers %V 55 %N 10 %P 4831-4838 %8 2007-10-29 %D 2007 %K Time-frequency %K phase non linearity %K representation %K analytic continuation %Z Computer Science [cs]/Signal and Image Processing %Z Engineering Sciences [physics]/Signal and Image processingJournal articles %X 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 %G English %Z PAI Pélikan %2 https://hal.science/hal-00349335/document %2 https://hal.science/hal-00349335/file/GCTD_IEEESP2007.pdf %L hal-00349335 %U https://hal.science/hal-00349335 %~ ENSTA-BRETAGNE %~ UGA %~ CNRS %~ UNIV-GRENOBLE1 %~ UNIV-PMF_GRENOBLE %~ UNIV-GRENOBLE3 %~ INPG %~ GIPSA %~ GIPSA-DIS %~ GIPSA-SIGMAPHY %~ ENSTA-BRETAGNE-STIC %~ ENSIETA-E3I2 %~ ACL %~ UGA-TEST-BIS %~ UGA-TEST-TER %~ UGA-TEST-QUATER