Time-Frequency distributions with generalized complex lag argument
Résumé
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
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