Source localization performance and the array beampattern

Messer, H.

doi:10.1016/0165-1684(92)90033-s

Cited by 25 publications

(13 citation statements)

References 12 publications

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“…Ambiguities occur when two steering vectors happen to be (very) close, despite referring to well-separated look directions [17]. One way to minimize ambiguities is to minimize the so-called relative peak sidelobe level (PSL) ratio [5] derived from the conventional array beampattern [18] …”

Section: Sensors Placementmentioning

confidence: 99%

“…r i =r, where β p is given by (18), followed by elementary trigonometric relations, show that ½F 1;1 depend on the azimuth θ only through the sums P P i p i ¼ 1 cos kθ p;i and P P i p i ¼ 1 sin kθ p;i for k integer which can be easily simplified thanks to (19). This allows us to deduce (20) from (59) The polynomials g i ð sin 2 ϕÞ; i ¼ 1; 2; 3 and 4 are deduced from the Taylor expansion of ½F 3;3 after simple but cumbersome derivations.…”

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confidence: 99%

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CRB analysis of planar antenna arrays for optimizing near-field source localization

et al. 2016

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International audienceThis paper focuses on the Cramér Rao bound (CRB) of the azimuth, elevation and range with planar arrays for narrowband near-field source localization, using the exact expression of the time delay parameter. Specifically, the aim of this paper is twofold. First, we derive explicit non-matrix closed-form expressions of approximations of these three CRBs. Second, we use these expressions to optimize near-field source localization. For deriving these expressions, we introduce conditions on the array geometry that allow us to decouple the azimuth, elevation and range parameters to a certain order in λ/r (in which λ and r denote the wavelength and the range, respectively). The proposed conditions complement those found for a far-field source that ensure the azimuth and elevation estimations are both exactly decoupled and isotropic. A particular attention is given to the popular array configurations which are the concentric uniform circular-based arrays, cross-based and squarebased centro-symmetric arrays which satisfy these conditions. In order to control directions of arrivals (DOA) ambiguity, we propose a new criterion, which allows us to design non-uniform square [resp., cross]-based centrosymmetric array configurations with improved near-field range estimation capabilities without deteriorating the DOA precisions w.r.t. uniform square [resp., cross]-based arrays. Finally, we specify the accuracy of our proposed approximated CRBs'expressions and isotropy's conditions w.r.t. the range and the number of sensor

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Section: Sensors Placementmentioning

confidence: 99%

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confidence: 99%

CRB analysis of planar antenna arrays for optimizing near-field source localization

et al. 2016

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“…In [13] it is noted that optimal designs have most elements either on or near the constraint boundary. Without the sidelobe level constraint, minimizing the mainlobe width corresponds to minimizing the CRB criterion, because the single source CRB is directly related to mainlobe width (see, e.g., [19], [15], [16]); by Theorem 1, all array elements would be on the boundary in this case. Apparently, the sidelobe constraint does not significantly alter the array placement.…”

Section: Boundary Resultsmentioning

confidence: 99%

“…Using the second order Taylor series approximation of the array gain around the steering angle θ 0 , one can approximate the half-power beamwidth of the array as λ0 2π 1 G(B,θ0) [19], [15], [16]. The CRB cost function can thus be thought of as the average beamwidth of the array (averaged over steering angle) and the CRB-optimal array gives the minimum average beamwidth.…”

Section: B Relationship To Beamwidthmentioning

confidence: 99%

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A bayesian approach to array geometry design

Oktel

Moses

2005

IEEE Trans. Signal Process.

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Abstract-In this paper we consider the design of planar arrays that optimize direction-of-arrival (DOA) estimation performance. We assume that the single source DOA is a random variable with a known prior probability distribution and the sensors of the array are constrained to lie in a region with an arbitrary boundary. The Cramér-Rao Bound (CRB) and the Fisher Information Matrix (FIM) for single source DOA constitute the basis of the optimality criteria. We relate the design criteria to a Bayesian CRB criterion and to array beamwidth; we also derive closed-form expressions for the design criteria when the DOA prior is uniform on a sector of angles. We show that optimal arrays have elements on the constraint boundary, thus providing a reduced dimension iterative solution procedure. Finally, we present example designs.Index Terms-array design, planar arrays, direction of arrival estimation, Cramér-Rao bound

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A new measure for assessing the accuracy of direction-of-arrival estimate

Tan

1994

Signal Processing

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Source localization performance and the array beampattern

Cited by 25 publications

References 12 publications

CRB analysis of planar antenna arrays for optimizing near-field source localization

CRB analysis of planar antenna arrays for optimizing near-field source localization

A bayesian approach to array geometry design

A new measure for assessing the accuracy of direction-of-arrival estimate

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