Analysis of transient signals using higher-order time-frequency distributions

A general class of higher-order time-frequency representations, including Wigner higher-order spectra (WHOS), has been defined and studied recently as an extension of bilinear time-frequency distributions in terms of instantaneous higher-order moments of the signal. The analysis of mono- and multicomponent signals is considered using higher-order based time-frequency distributions. A computationally feasible implementation of the Wigner bispectrum and trispectrum (WHOS in the third and fourth order domain) is proposed considering one slice of the multifrequency space. The problem of cross-terms cancellation is addressed, and reduced interference distributions are defined as an extension of the Choi-Williams distribution