Relationship between the polynomial and the higher order Wigner-Ville distribution

1 December 1995

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Signal Processing Letters

Vol. 2 (12) , 227-229
https://doi.org/10.1109/97.475856

Abstract

The paper establishes the relationship between the two methods of higher order time-frequency analysis: the polynomial Wigner-Ville distribution (WVD) and the higher order WVD. Using the projection-slice theorem, it is shown that the polynomial WVD represents a unique projection of the higher-order WVD from the time-multifrequency space to the time-frequency subspace. The implication of this relationship is investigated from the aspect of the analysis of multicomponent signals.

Keywords

This publication has 10 references indexed in Scilit:

Polynomial Wigner-Ville distributions and time-varying higher-order spectra
Published by Institute of Electrical and Electronics Engineers (IEEE) ,2003
A multitime definition of the Wigner higher order distribution: L-Wigner distribution
IEEE Signal Processing Letters, 1994
A deductive construction of third-order time-frequency distributions
Signal Processing, 1994
Polynomial Wigner-Ville distributions and their relationship to time-varying higher order spectra
IEEE Transactions on Signal Processing, 1994
Wigner Higher Order Moment Spectra: Definition, Properties,Computation and Application to Transient Signal Analysis
IEEE Transactions on Signal Processing, 1993
Analysis of FM signals affected by Gaussian AM using the reduced Wigner-Ville trispectrum
Published by Institute of Electrical and Electronics Engineers (IEEE) ,1993
Linear and quadratic time-frequency signal representations
IEEE Signal Processing Magazine, 1992
Analysis of transient signals using higher-order time-frequency distributions
Published by Institute of Electrical and Electronics Engineers (IEEE) ,1992
Introducing a third-order Wigner distribution
Proceedings of the IEEE, 1988
Digital reconstruction of multidimensional signals from their projections
Proceedings of the IEEE, 1974