On the geometry of isotropic arrays

Author

Baysal, Ülkü ; Moses, Randolph L.

Author_Institution

Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA

Volume

51

Issue

6

fYear

2003

fDate

6/1/2003 12:00:00 AM

Firstpage

1469

Lastpage

1478

Abstract

We consider array geometries whose direction-of-arrival (DOA) estimation performance is isotropic. An isotropic array is one whose Cramer-Rao bound (CRB) on the DOA of a single source is uniform for all angles. For both planar arrays and volume arrays we derive necessary and sufficient conditions on array element locations so that the array is isotropic. We also present several designs of isotropic planar and volume arrays. The results apply to both narrowband and wideband scenarios. We analyze the special case where a planar array is used to estimate the DOA of three-dimensional (3-D) source. Finally, we compare isotropic array performance to the best possible array performance.

Keywords

array signal processing; direction-of-arrival estimation; matrix algebra; 3D source; Cramer-Rao bound; DOA estimation performance; array element locations; direction-of-arrival estimation; isotropic array; isotropic array performance; isotropic arrays geometry; matrix; necessary conditions; planar arrays; sufficient conditions; three-dimensional source; volume arrays; Algorithm design and analysis; Direction of arrival estimation; Geometry; Narrowband; Planar arrays; Polynomials; Sensor arrays; Sensor phenomena and characterization; Sufficient conditions; Wideband;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2003.811227

Filename

1200137