Asymptotic performance analysis of three ESPRIT algorithms

Author

Yuen, Norman ; Friedlander, Benjamin

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., California Univ., Davis, CA, USA

Volume

1

fYear

1995

fDate

Oct. 30 1995-Nov. 1 1995

Firstpage

717

Abstract

We present an asymptotic performance analysis of three subspace-based methods for direction of arrival (DOA) estimation-the ESPRIT algorithm using second-order statistics, the higher-order ESPRIT algorithm using fourth-order cumulants, and the virtual ESPRIT (VESPA) algorithm using fourth order cumulants. We examine the least-squares version of these algorithms, derive the expressions for the asymptotic variance of the estimated DOAs, and use specific examples to compare the relative performance of the algorithms. Finally, we present Monte-Carlo simulations to validate the theoretical analysis.

Keywords

higher order statistics; DOA estimation; ESPRIT algorithms; Monte-Carlo simulations; VESPA algorithm; algorithms performance; asymptotic performance analysis; asymptotic variance; direction of arrival estimation; fourth-order cumulants; higher-order ESPRIT algorithm; least squares ESPRIT algorithm; second-order statistics; subspace based methods; virtual ESPRIT algorithm; Algorithm design and analysis; Covariance matrix; Direction of arrival estimation; Higher order statistics; Least squares methods; Multiple signal classification; Performance analysis; Phased arrays; Sensor arrays; Statistical analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1995. 1995 Conference Record of the Twenty-Ninth Asilomar Conference on

Conference_Location

Pacific Grove, CA, USA

ISSN

1058-6393

Print_ISBN

0-8186-7370-2

Type

conf

DOI

10.1109/ACSSC.1995.540643

Filename

540643