Title :
Relationship between the polynomial and the higher order Wigner-Ville distribution
Author :
Ristic, Branko ; Boashash, Boualem
Author_Institution :
Signal Process. Centre, Queensland Univ. of Technol., Brisbane, Qld., Australia
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 :
Wigner distribution; polynomials; signal processing; time-frequency analysis; higher order WVD; higher order Wigner-Ville distribution; higher order time-frequency analysis; multicomponent signals; polynomial WVD; polynomial Wigner-Ville distribution; projection-slice theorem; time-frequency subspace; time-multifrequency space; Australia; Equations; Polynomials; Signal analysis; Signal design; Signal processing; Time frequency analysis;
Journal_Title :
Signal Processing Letters, IEEE
