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Localization of small PEC spheres by multiview/single-frequency dataNormal access

Authors: R. Solimene, A. Buonanno and R. Pierri
Issue: Vol 6, No 6, December 2008 pp. 371 - 379
DOI: 10.3997/1873-0604.2008025
Special Topic: GPR – Tomography, Imaging and Modelling
Language: English
Info: Article, PDF ( 5.72Mb )

Abstract:
The problem of determining the number and the locations of perfect electric conducting small spheres from the knowledge of their scattered far-field is addressed. A multistatic/multiview/single-frequency configuration is considered. The multiple scattering between the spheres is neglected in the problem formulation and the scatterers’ locations are represented as the support of δ-functions. This allows us to cast the problem as the inversion of a linear integral operator with the δ-functions being the actual unknowns of the problem. The inversion of such a linear integral operator is achieved by means of the truncated-singular value decomposition. The performances achievable by the inversion algorithm are checked by synthetic exact data against model error and an additive white Gaussian noise.


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