Threshold performance for conditional and unconditional direction of arrival estimation

Author

Abramovich, Yuri I. ; Johnson, Bruce A.

Author_Institution

WR Syst., Fairfax, VA, USA

fYear

2012

Firstpage

5

Lastpage

12

Abstract

In this study, we provide comparative analysis of the so-called “threshold conditions” for conditional (deterministic, CML) and unconditional (stochastic, UML) maximum likelihood estimation. Specifically, we analyze SNR and sample support values where the accurate UML and CML DoA estimation starts to rapidly divert from the Cramér-Rao bound (CRB) due to the onset of severely erroneous DoA estimates (“outliers”). Theoretical predictions based on the recent large random matrix theory (RMT) findings are verified by Monte-Carlo simulations for sources with different levels of inter-source (spatial) or temporal correlations.

Keywords

Monte Carlo methods; correlation methods; direction-of-arrival estimation; matrix algebra; maximum likelihood estimation; random processes; stochastic processes; CML DoA estimation; CRB; Cramer-Rao bound; Monte Carlo simulation; RMT; SNR; UML DoA estimation; conditional direction of arrival estimation; deterministic CML; erroneous DoA estimates; inter-source correlation; maximum likelihood estimation; random matrix theory; spatial correlation; stochastic UML; temporal correlation; threshold conditions; threshold performance; unconditional direction of arrival estimation; Estimation thresholds; maximum-likelihood estimation; random matrix theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers (ASILOMAR), 2012 Conference Record of the Forty Sixth Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

978-1-4673-5050-1

Type

conf

DOI

10.1109/ACSSC.2012.6488947

Filename

6488947