The Wigner-Ville trispectrum: definition and application

The Wigner-Ville trispectrum (WVT) is defined as a member of a class of time-varying higher-order spectra based on the polynomial Wigner-Ville distributions. It is shown that the WVT is a very efficient time-frequency analysis method for the analysis of FM signals affected by multiplicative noise, and outperforms the Wigner-Ville spectrum (WVS), and therefore any other method based on Cohen´s class of bilinear time-frequency spectra. The authors further consider the instantaneous frequency estimator based on the peak extraction of the WVT. They also develop the statistical properties of such an estimator, for signals affected by both multiplicative and additive Gaussian noise.