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Vol. 245, Issue 6, October 2020, pp. 99-104




Analysis of Backscattering Data from Closely Spaced Scatterers
Using the K Matrix Information

1 Maria STAN NECULA, 1, 2, * Dorin BIBICU and 1 Luminita MORARU

1 University ‘Dunărea de Jos’ of Galati, Romania, Modelling & Simulation Laboratory, 111 Domneasca St., 800201 Galati, Romania
2 University ‘Dunărea de Jos’ of Galati, Romania, Business Administration Department, 59-61 N. Balcescu St., 800001 Galati, Romania
1 Tel.: + 40 336 130 251, fax: + 40 236 319 329

* E-mail: dorin.bibicu@ugal.ro


Received: 7 September 2020 /Accepted: 15 October 2020 /Published: 30 October 2020

Digital Sensors and Sensor Sysstems


Abstract: A coincident array of N transceivers is used to estimate the location of a multitude of closely spaced scatterers under arbitrary wave propagation conditions. MUltiple SIgnal Classification (MUSIC) algorithm analyses a multitude of scatterers placed in specific geometries. The formulation of the inverse scattering problem and the multistatic data matrix K are defined in two approximations: the Foldy-Lax (FL) formulation of the full multiple scattering model and the distorted-wave Born approximation (DWBA) model. The Fréchet distances (FD) between the amplitude and phase curves derived from K matrix data and of the amplitude of the scattered signals estimates the effectiveness of the approximation methods. The numerical results showed a slight effectiveness of the Foldy-Lax approximation for scatterers location. The problem of considering the phase estimation from the K matrix is not a solution for signal reconstruction and representation.


Keywords: Inverse scattering, Foldy-Lax formulation, Distorted-wave Born approximation, MUSIC, Fréchet distance, Average visibility index.


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