On The Ambiguity of Source Localization Using Large Aperture Arrays

Abstract : In this report, we study the ambiguity of source localization using signal processing of large aperture antenna arrays under spherical wave propagation. This novel localization approach has been recently proposed, providing an estimate of the source position by means of two methods: geometrical and analytical. The former finds the source position as the estimate of circular loci, the latter as a solution of a linear system of equations. Although this method is proved to work for a general array geometry, we show that it suffers from ambiguities for a particular class of array geometries. Namely, in 2D, we prove that when the array geometry is linear or circular, there exist two possible solutions where only one corresponds to the actual position of the source. We also prove a relation of symmetry between the solutions with respect to the array geometry. This relation is very useful to assist the disambiguation process for discounting one of the estimates. By extension to 3D, planar (resp. spherical) arrays exhibit the same behavior i.e they provide two symmetrical estimates of the source position when the latter is not on the array plane (resp. sphere).
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Submitted on : Monday, May 18, 2015 - 3:35:22 PM
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Roudy Dagher, Nathalie Mitton. On The Ambiguity of Source Localization Using Large Aperture Arrays. [Research Report] RR-8631, Inria Lille; INRIA. 2015, pp.10. ⟨hal-01084178⟩

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