Stochastic Cramer-Rao bound of DOA estimates for non-circular Gaussian signals

Author

Abeida, Habti ; Delmas, Jean-Pierre

Author_Institution

Departement CITI, GET/INT, Evry, France

Volume

2

fYear

2004

fDate

17-21 May 2004

Abstract

This paper focuses on the stochastic Cramer-Rao bound (CRB) on direction of arrival (DOA) estimation accuracy for non-circular Gaussian sources. We derive an explicit expression of the CRB for DOA parameters alone in the case of non-circular complex Gaussian sources by two different methods. One of them consists of computing the asymptotic covariance matrix of the maximum likelihood (ML) estimator, and the other is obtained directly from an extended Slepian-Bangs formula. Finally some properties of this CRB are proved.

Keywords

Gaussian processes; array signal processing; covariance matrices; direction-of-arrival estimation; maximum likelihood estimation; CRB; DOA estimates; DOA estimation accuracy; ML estimator; asymptotic covariance matrix; direction of arrival estimation; extended Slepian-Bangs formula; maximum likelihood estimator; noncircular Gaussian signals; stochastic Cramer-Rao bound; Additive noise; Array signal processing; Binary phase shift keying; Covariance matrix; Digital communication; Direction of arrival estimation; Gaussian distribution; Gaussian noise; Maximum likelihood estimation; Stochastic processes;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2004. Proceedings. (ICASSP '04). IEEE International Conference on

ISSN

1520-6149

Print_ISBN

0-7803-8484-9

Type

conf

DOI

10.1109/ICASSP.2004.1326242

Filename

1326242