Real-time tracking of moving objects from scattering matrix in real-world microwave imaging
arXiv:2402.17273 · doi:10.3934/math.2024662
Abstract
The problem of the real-time microwave imaging of small, moving objects from a scattering matrix, whose elements are measured scattering parameters, without diagonal elements 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 its some properties. To demonstrate the strengths and weaknesses of the proposed algorithm, various simulations with real-data are conducted.
arXiv comment15 pages, 5 figures
References in corpus (9)
- Imaging of moving targets with multi-static SAR using an overcomplete dictionary
- Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks
- A Direct Sampling Method for Inverse Electromagnetic Medium Scattering
- Asymptotic properties of MUSIC-type imaging in two-dimensional inverse scattering from thin electromagnetic inclusions
- Application of MUSIC algorithm in real-world microwave imaging of unknown anomalies from scattering matrix
- Real-time microwave imaging of unknown anomalies via scattering matrix
- Fast shape reconstruction of perfectly conducting cracks by using a multi-frequency topological derivative strategy
- Direct sampling method for imaging small anomalies: real-data experiments
- Direct sampling method for retrieving small perfectly conducting cracks