Cramér-Rao Bound Study of Multiple Scattering Effects in Target Separation Estimation

The information about the distance of separation between two-point targets that is contained in scattering data is explored in the context of the scalar Helmholtz operator via the Fisher information and associated Cramér-Rao bound (CRB) relevant to unbiased target separation estimation. The CRB resu...

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Main Authors: Edwin A. Marengo, Paul Berestesky
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2013/572923
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author Edwin A. Marengo
Paul Berestesky
author_facet Edwin A. Marengo
Paul Berestesky
author_sort Edwin A. Marengo
collection DOAJ
description The information about the distance of separation between two-point targets that is contained in scattering data is explored in the context of the scalar Helmholtz operator via the Fisher information and associated Cramér-Rao bound (CRB) relevant to unbiased target separation estimation. The CRB results are obtained for the exact multiple scattering model and, for reference, also for the single scattering or Born approximation model applicable to weak scatterers. The effects of the sensing configuration and the scattering parameters in target separation estimation are analyzed. Conditions under which the targets' separation cannot be estimated are discussed for both models. Conditions for multiple scattering to be useful or detrimental to target separation estimation are discussed and illustrated.
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institution Kabale University
issn 1687-5869
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language English
publishDate 2013-01-01
publisher Wiley
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series International Journal of Antennas and Propagation
spelling doaj-art-2b712684aeab4b18a8ce194854c9835f2025-02-03T01:10:49ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772013-01-01201310.1155/2013/572923572923Cramér-Rao Bound Study of Multiple Scattering Effects in Target Separation EstimationEdwin A. Marengo0Paul Berestesky1Department of Electrical and Computer Engineering, Northeastern University, Boston, MA 02115, USADepartment of Electrical and Computer Engineering, Northeastern University, Boston, MA 02115, USAThe information about the distance of separation between two-point targets that is contained in scattering data is explored in the context of the scalar Helmholtz operator via the Fisher information and associated Cramér-Rao bound (CRB) relevant to unbiased target separation estimation. The CRB results are obtained for the exact multiple scattering model and, for reference, also for the single scattering or Born approximation model applicable to weak scatterers. The effects of the sensing configuration and the scattering parameters in target separation estimation are analyzed. Conditions under which the targets' separation cannot be estimated are discussed for both models. Conditions for multiple scattering to be useful or detrimental to target separation estimation are discussed and illustrated.http://dx.doi.org/10.1155/2013/572923
spellingShingle Edwin A. Marengo
Paul Berestesky
Cramér-Rao Bound Study of Multiple Scattering Effects in Target Separation Estimation
International Journal of Antennas and Propagation
title Cramér-Rao Bound Study of Multiple Scattering Effects in Target Separation Estimation
title_full Cramér-Rao Bound Study of Multiple Scattering Effects in Target Separation Estimation
title_fullStr Cramér-Rao Bound Study of Multiple Scattering Effects in Target Separation Estimation
title_full_unstemmed Cramér-Rao Bound Study of Multiple Scattering Effects in Target Separation Estimation
title_short Cramér-Rao Bound Study of Multiple Scattering Effects in Target Separation Estimation
title_sort cramer rao bound study of multiple scattering effects in target separation estimation
url http://dx.doi.org/10.1155/2013/572923
work_keys_str_mv AT edwinamarengo cramerraoboundstudyofmultiplescatteringeffectsintargetseparationestimation
AT paulberestesky cramerraoboundstudyofmultiplescatteringeffectsintargetseparationestimation