Polynomial time-frequency distributions and time-varying higher order spectra: application to non-stationary signal analysis

Author

Boashash, Boualem ; Ristic, Branko

Author_Institution

Signal Process. Res. Centre, Queensland Univ. of Technol., Brisbane, Qld., Australia

Volume

4

fYear

1996

fDate

14-17 Oct 1996

Firstpage

2751

Abstract

The paper deals with analysis and time-frequency representation of multicomponent signals characterised by non-linear frequency variation in time. A certain type of higher-order time-frequency distribution, referred to as polynomial Wigner-Ville distribution, has been designed to achieve delta function concentration in the time-frequency plane for this class of signals. In the presence of multiplicative noise, the signals are treated as being random and we introduce time-varying higher-order spectra (TV-HOS) as ensemble averaged polynomial Wigner-Ville distributions. TV-HOS are shown to be natural tools for analysis of non-stationary random signals, and we demonstrate this in the context of FM signals affected by multiplicative noise

Keywords

polynomials; signal processing; spectral analysis; time-frequency analysis; FM signals; delta function concentration; ensemble averaged polynomial Wigner-Ville distributions; multicomponent signals; multiplicative noise; nonlinear frequency variation; nonstationary signal analysis; polynomial time-frequency distributions; time-frequency plane; time-varying higher order spectra; Additive noise; Australia; Paper technology; Polynomials; Signal analysis; Signal design; Signal processing; Speech analysis; Speech enhancement; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics, 1996., IEEE International Conference on

Conference_Location

Beijing

ISSN

1062-922X

Print_ISBN

0-7803-3280-6

Type

conf

DOI

10.1109/ICSMC.1996.561375

Filename

561375