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Journal ArticleDOI

On the geometry of isotropic arrays

Ulku Baysal, +1 more
- 01 Jun 2003 - 
- Vol. 51, Iss: 6, pp 1469-1478
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TLDR
This work considers array geometries whose direction-of-arrival (DOA) estimation performance is isotropic, and analyses the special case where a planar array is used to estimate the DOA of three-dimensional source.
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.

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References
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Journal ArticleDOI

An L-shaped array for estimating 2-D directions of wave arrival

TL;DR: In this article, a simple structured 2-D array, the L-shaped array, is presented, which consists of two uniform linear arrays (ULA) connected orthogonally at one end of each ULA.
Journal ArticleDOI

Effects of sensor placement on acoustic vector-sensor array performance

TL;DR: In this paper, the authors consider the role played by the sensor locations in the optimal performance of an array of acoustic vector sensors, and derive an expression for the Cramer-Rao bound on the azimuth and elevation of a single far-field source for an arbitrary acoustic vector-sensor array in a homogeneous wholespace.
Journal ArticleDOI

An algorithm for near-optimal placement of sensor elements

TL;DR: Constructive procedures are developed to evaluate integer locations for an array of given sensors that span a prescribed distance, such that any missing integer is expressible as the difference of two sensor locations.
Journal ArticleDOI

Performance bounds for estimating vector systems

TL;DR: A unified framework for the analysis of estimators ofGeometrical vector quantities and vector systems through a collection of performance measures that have intuitive geometrical and physical interpretations, are independent of the coordinate reference frame, and are applicable to arbitrary parameterizations of the unknown vector or system of vectors.
Journal ArticleDOI

Array geometry for ambiguity resolution in direction finding

TL;DR: A measure of similarity between array response vectors is introduced and a tight lower bound of the similarity measure can be easily derived that can be used for selecting the best thinned array configuration from a given set of candidate geometries.
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