Real-time tracking of moving objects from scattering matrix in real-world microwave imaging

The problem of the real-time microwave imaging of small, moving objects from a scattering matrix without diagonal elements, whose elements are measured scattering parameters, is considered herein. An imaging algorithm based on a Kirchhoff migration operated at single frequency is designed, and its m...

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Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 6; pp. 13570 - 13588
Main Authors Son, Seong-Ho, Lee, Kwang-Jae, Park, Won-Kwang
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
bessel function
kirchhoff migration
moving objects
scattering matrix
simulation results
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Summary:The problem of the real-time microwave imaging of small, moving objects from a scattering matrix without diagonal elements, whose elements are measured scattering parameters, is considered herein. An imaging algorithm based on a Kirchhoff migration operated at single frequency is designed, and its mathematical structure is investigated by establishing a relationship with an infinite series of Bessel functions of integer order and antenna configuration. This is based on the application of the Born approximation to the scattering parameters of small objects. The structure explains the reason for the detection of moving objects via a designed imaging function and supplies some of its properties. To demonstrate the strengths and weaknesses of the proposed algorithm, various simulations with real-data are conducted.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024662