Compact Cramer-Rao bound expressions on directional covariance for DF of sources with unknown constant polarizations

Author

Lee, Harry B.

Author_Institution

Atlantic Aerosp. Electron. Corp., Waltham, MA, USA

Volume

42

Issue

10

fYear

1994

fDate

10/1/1994 12:00:00 AM

Firstpage

2864

Lastpage

2867

Abstract

The Cramer-Rao Bound B_C on directional covariance routinely is used as a yardstick for assessing the performance of candidate direction-finding (DF) algorithms. Stoica and Nehorai (1989, 1990) and Yau and Bresler (see ibid., vol.40, no.5,p.1226, 1992) introduced compact formulae for B_C applicable to DF scenarios in which sources transmit signals having known polarizations. These formulae have proven quite useful in that they facilitate identification of performance limitations that otherwise would be difficult or impossible to obtain. This article presents compact formulae for B_C for DF scenarios in which n uncorrelated sources transmit signals having constant but unknown polarizations. Also it is shown that these formulae elucidate achievable DF performance for scenarios involving partially correlated sources

Keywords

array signal processing; electromagnetic wave polarisation; matrix algebra; Cramer-Rao bound expressions; DF; constant polarizations; direction-finding algorithms; directional covariance; partially correlated sources; performance limitations; uncorrelated sources; Chromium; Covariance matrix; Multiple signal classification; Navigation; Parameter estimation; Polarization; Signal analysis; Signal processing algorithms; Signal to noise ratio; Stochastic processes;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.324757

Filename

324757