Wigner-Ville and polynomial Wigner-Ville Transforms in the estimation of nonlinear FM signal parameters

In this paper, we consider the estimation problem of the frequency characteristics of a nonlinear FM and monocomponent signal. The instantaneous frequency (IF) of such a signal can be highlighted by a Time-Frequency Transform (TFT). Using the properties of the cross TFT, we develop an iterative algorithm taking into consideration the presence of wrong frequencies in the estimated IF sequence of the signal. Finally, a computer simulation is performed to illustrate the behavior of this iterative scheme with different TFT.