Polynomial Wigner-Ville distributions and time-varying higher-order spectra

The concept of reduced time-varying higher-order spectra based on polynomial Wigner-Ville distributions (PWVDs) is presented. Two members of a class of PWVDs are illustrated, each dedicated to a specific problem that cannot be optimally solved using Cohen´s class of bilinear (second order) time-frequency distributions. Polynomial WVDs are shown to preserve or generalize many properties of the WVD. The case of multicomponent signals is addressed, and higher-order time-frequency distributions are defined