Time varying higher order spectra

Author

Boashash, Boualem ; Ristic, Branko

Author_Institution

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

fYear

1991

fDate

4-6 Nov 1991

Firstpage

393

Abstract

The Wigner-Ville distribution (WVD) is a second-order time-frequency representation in the sense that it is able to give ideal energy concentration for quadratic FM signals, and its expectation value is a second-order time-varying spectrum. The authors present two methods for generalizing the WVD in order to achieve the ideal energy concentration for polynomial frequency (phase) signals. The expected values of such generalized WVDs (GWVDs) are the Fourier transforms of some particular higher-order moments and/or cumulants. The ensemble averaged GWVDs therefore have interpretation as time-varying higher-order spectra

Keywords

frequency modulation; spectral analysis; Wigner-Ville distribution; generalised WVD; polynomial phase signals; quadratic FM signals; second-order time-frequency representation; time-varying higher-order spectra; Australia; Finite difference methods; Frequency estimation; Kernel; Phase estimation; Polynomials; Signal analysis; Signal processing; Time frequency analysis; Yield estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1991. 1991 Conference Record of the Twenty-Fifth Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

0-8186-2470-1

Type

conf

DOI

10.1109/ACSSC.1991.186479

Filename

186479