Wigner-Ville analysis of time-varying signals

Abstract

Among the various methods of analysing time-varying signals, one of the most interesting is WIGNER-VILLE's. - In the case of signals with a large bandwidth-duration BT product, we recall that their behaviour in the time-frequency domain can be reduced to just two typical cases. The numerical studies performed on different examples are in good agreement with the analytical ones and lead to the possibility of modeling signals in the time-frequency domain. -In the case of signals with a BT product of any magnitude, we study in detail, analytically, and numerically the WIGNER-VILLE representation of linearly frequency modulated signals. These results are then compared with those obtained by usual methods such as the "Moving Window Method" (MWM). The performance of each method is evaluated and ways of optimizing MWM are proposed.