More on optimality of EVD methods for bearing estimation

Author

Tressens, S. ; Clergeot, H. ; Ouamri, A. ; Bouvet, M.

Author_Institution

CNET, Saint-Maur, France

fYear

1988

fDate

11-14 Apr 1988

Firstpage

2881

Abstract

A general expression is developed for the variance of bearing estimates of M sources obtained by EVD and the MUSIC algorithm (or an extension of it already introduced by the authors in the case of partially correlated sources). Comparison with a suitable form of the Cramer-Rao bounds demonstrates that optimality is reached only if all signal eigenvalues are much greater than the noise level. The analysis is extended to specific improvements such as spatial averaging or multiple frequency averaging, the effect of which is to avoid the occurrence of very small eigenvalues in the case of correlated sources

Keywords

antenna arrays; antenna theory; radio direction-finding; signal processing; EVD methods; MUSIC algorithm; bearing estimation; multiple frequency averaging; noise level; optimality; radio direction-finding; signal eigenvalues; signal processing antenna theory; spatial averaging; Additive noise; Covariance matrix; Direction of arrival estimation; Eigenvalues and eigenfunctions; Genetic expression; Geometry; Maximum likelihood estimation; Multiple signal classification; Solid modeling; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on

Conference_Location

New York, NY

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1988.197255

Filename

197255