On estimating the instantaneous frequency of a Gaussian random signal by use of the Wigner-Ville distribution

Author

White, Langford B. ; Boashash, Boualem

Author_Institution

Dept. of Electr. Eng., Queensland Univ., Brisbane, Qld., Australia

Volume

36

Issue

3

fYear

1988

fDate

3/1/1988 12:00:00 AM

Firstpage

417

Lastpage

420

Abstract

The form of the one-dimensional probability distribution function for the Wigner-Ville, or evolutive spectrum, and the instantaneous frequency of a Gaussian random process is derived by use of an orthogonal decomposition of the process covariance matrix. No narrowband assumptions are made. Natural estimators for the evolution spectrum and the instantaneous frequency are defined, and the form of the distribution functions is derived. The properties of these estimators are examined with particular reference to the effects of windowing operations used in the calculation. The usefulness of the results is indicated, and examples are presented

Keywords

matrix algebra; probability; random processes; signal processing; Gaussian random signal; Wigner-Ville distribution; evolutive spectrum; instantaneous frequency estimation; one-dimensional probability distribution function; orthogonal decomposition; process covariance matrix; windowing operations; Acoustic signal processing; Adaptive signal processing; Autocorrelation; Equations; Frequency estimation; Large scale integration; Least squares methods; Polynomials; Speech processing; Stability;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.1543

Filename

1543