Title :
Threshold performance for conditional and unconditional direction of arrival estimation
Author :
Abramovich, Yuri I. ; Johnson, Bruce A.
Author_Institution :
WR Syst., Fairfax, VA, USA
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;
Conference_Titel :
Signals, Systems and Computers (ASILOMAR), 2012 Conference Record of the Forty Sixth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
978-1-4673-5050-1
DOI :
10.1109/ACSSC.2012.6488947