An analysis of ESPRIT under random sensor uncertainties

Author

Soon, V.C. ; Huang, Y.F.

Author_Institution

Lab. for Image & Signal Anal., Notre Dame Univ., IN, USA

Volume

40

Issue

9

fYear

1992

fDate

9/1/1992 12:00:00 AM

Firstpage

2353

Lastpage

2358

Abstract

A general expression for the mean-square error (MSE) of the ESPRIT direction-of-arrival (DOA) estimation of narrowband far-field sources under random sensor perturbations is derived. Explicit solutions for the case of an arbitrary ESPRIT array geometry with one and two sources are given. Solutions for the case of a uniform linear array and arbitrary number of sources are found provided that the number of sensors is large. For this case, it is found that the MSE of ESPRIT with maximum aperture (i.e., maximum-overlapping subarrays) is lower than that of ESPRIT with nonoverlapping subarrays. A comparison with MUSIC suggests that the MSE for MUSIC is lower than that for ESPRIT. Furthermore, for the cases studied, it is shown that the MSE of ESPRIT depends only on sensor phase errors while that of MUSIC is dependent on both sensor grain and phase errors

Keywords

error analysis; parameter estimation; signal processing; DOA estimation; ESPRIT; MSE; arbitrary array geometry; array processing; direction-of-arrival; maximum aperture; maximum-overlapping subarrays; mean-square error; narrowband far-field sources; number of sensors; number of sources; random sensor perturbations; sensor phase errors; uniform linear array; Apertures; Covariance matrix; Direction of arrival estimation; Genetic expression; Geometry; Multiple signal classification; Narrowband; Sensor arrays; Signal processing algorithms; Uncertainty;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.157239

Filename

157239