Convergence properties for frequency-wavenumber estimation

Author

Gingras, D.F. ; Hobbs, S.L.

Author_Institution

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

fYear

1988

fDate

3-5 Aug 1988

Firstpage

17

Lastpage

21

Abstract

The estimation of the frequency-wavenumber spectrum from the output of a sensor array placed in a homogeneous random field is considered. A generalized estimator that includes the Bartlett and minimum energy estimators is analyzed. The generalized frequency-wavenumber estimator is shown to converge in distribution, and a precise asymptotic expression for the covariance matrix of the limiting distribution is obtained. It is also shown that the estimator converges in the mean-square sense. Examples of the asymptotic variance for a variety of array configurations are presented

Keywords

convergence; estimation theory; spectral analysis; array configurations; asymptotic expression; convergence properties; covariance matrix; frequency-wavenumber estimation; homogeneous random field; limiting distribution; mean-square; minimum energy estimators; sensor array; spectral estimation; Acoustic sensors; Array signal processing; Convergence; Covariance matrix; Frequency estimation; Marine technology; Oceans; Sensor arrays; Sensor systems; Sonar;

fLanguage

English

Publisher

ieee

Conference_Titel

Spectrum Estimation and Modeling, 1988., Fourth Annual ASSP Workshop on

Conference_Location

Minneapolis, MN

Type

conf

DOI

10.1109/SPECT.1988.206155

Filename

206155