Title
Performance Prediction of Maximum-Likelihood Direction-of-Arrival Estimation in the Presence of Modeling Errors
Abstract
This paper provides new analytic expressions for the root mean-square (RMS) error and bias of the maximum-likelihood (ML) direction-of-arrival (DOA) estimator in the presence of steering vector modeling errors. Previous work has provided a first-order approximation of these performance measures, which is valid for small modeling errors. In order to take into account larger errors and provide tools for designing an experimental setup, a more accurate (but still easy-to-use) performance analysis is necessary. For such an investigation, the DOA estimation errors are expressed as a Hermitian form with a stochastic vector composed of the modeling errors. Closed-form expressions relating the bias and RMS errors to the statistical moments of the modeling error are then deduced from the statistics of this Hermitian form. Simulations are provided to illustrate the usefulness of the theoretical results.
Year
DOI
Venue
2008
10.1109/TSP.2008.921794
IEEE Transactions on Signal Processing
Keywords
Field
DocType
performance analysis,account larger error,vector modeling error,small modeling error,performance prediction,hermitian form,performance measure,stochastic vector,maximum-likelihood direction-of-arrival estimation,modeling error,rms error,modeling errors,doa estimation error,model error,approximation theory,first order,maximum likelihood estimation,root mean square error,predictive models,stochastic processes,first order approximation,direction of arrival,calibration,estimation,root mean square,covariance matrix,maximum likelihood
Mathematical optimization,Direction of arrival,Approximation theory,Mean squared error,Root-mean-square deviation,Covariance matrix,Estimation theory,Mathematics,Method of moments (statistics),Estimator
Journal
Volume
Issue
ISSN
56
10
1053-587X
Citations 
PageRank 
References 
8
0.57
4
Authors
3
Name
Order
Citations
PageRank
A. Ferreol130525.51
Pascal Larzabal253564.76
M. Viberg3917188.13