Charaterization of a dispersive system using quadratic time-frequency representations

Quadratic time-frequency representations (QTFR) to characterize dispersive media are interesting because of their capacity to concentrate the energy of the signal in a two-dimensional representation plane. In this work, some distributions of a special class of QTFR (P
_k
-Bertrand) are used to analyse non-stationary signals passing through dispersive systems like porous media. The entropy of Renyi is used to determine the well matched distribution and therefore to evaluate the group delay law of the analysed signal.