On the Deterministic CRB for DOA Estimation in Unknown Noise Fields Using Sparse Sensor Arrays

Author

Kleinsteuber, Martin ; Seghouane, Abd-Krim

Author_Institution

Nat. ICT Australia Ltd., Canberra

Volume

56

Issue

2

fYear

2008

Firstpage

860

Lastpage

864

Abstract

The Cramer-Rao bound (CRB) plays an important role in direction of arrival (DOA) estimation because it is always used as a benchmark for comparison of the different proposed estimation algorithms. In this correspondence, using well-known techniques of global analysis and differential geometry, four necessary conditions for the maximum of the log-likelihood function are derived, two of which seem to be new. The CRB is derived for the general class of sensor arrays composed of multiple arbitrary widely separated subarrays in a concise way via a coordinate free form of the Fisher Information. The result derived in [1] is confirmed.

Keywords

array signal processing; differential geometry; direction-of-arrival estimation; matrix algebra; maximum likelihood estimation; sensor arrays; Cramer-Rao bound; DOA estimation; Fisher information matrices; deterministic CRB; differential geometry; direction of arrival estimation; log-likelihood function; maximum likelihood function; sparse sensor arrays; unknown noise fields; Australia Council; Closed-form solution; Covariance matrix; Direction of arrival estimation; Equations; Geometry; Laboratories; Maximum likelihood estimation; Sensor arrays; Working environment noise; CramÉr–Rao bound (CRB); differential geometry; direction of arrival (DOA) estimation; maximum likelihood;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2007.907832

Filename

4383180