Asymptotic statistics for a generalized frequency-wavenumber estimator

Author

Gingras, Donald F. ; Hobbs, Stephen L.

Author_Institution

US Naval Ocean Syst. Center, San Diego, CA, USA

Volume

38

Issue

5

fYear

1990

fDate

5/1/1990 12:00:00 AM

Firstpage

804

Lastpage

813

Abstract

The estimation of the frequency-wavenumber spectrum form the output of a sensor array placed in a homogeneous random field is considered. A generalized estimator which includes the Bartlett and minimum-variance estimators is used. Joint asymptotic normality of this frequency-wavenumber estimator is established; a precise asymptotic expression for the covariance matrix of the limiting distribution is obtained. It is shown that the generalized estimator converges in the mean-square sense. Confidence intervals based on the asymptotic normality results are presented for two array configuration examples

Keywords

acoustic signal processing; matrix algebra; sonar; spectral analysis; statistical analysis; Bartlett estimator; asymptotic normality; asymptotic statistics; covariance matrix; frequency-wavenumber estimator; generalized estimator; homogeneous random field; limiting distribution; minimum-variance estimators; passive sonar systems; sensor array; underwater acoustic waves; Acoustic sensors; Covariance matrix; Delay estimation; Frequency estimation; Maximum likelihood estimation; Oceans; Sensor arrays; Sonar; Statistical analysis; Statistics;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.56026

Filename

56026