Real-Time Tracking of Moving Anomaly From Scattering Parameters

This study aims to design an imaging function based on Kirchhoff migration for real-time tracking of a moving anomaly from Multi-Static Response (MSR) matrix whose elements were measured scattering parameters. Based on the representation formula for the scattering parameter in the presence of an anomaly, we established a relation between the imaging function and an infinite series of Bessel functions of integer order and the total number of dipole antennas. Experimental results with real-data are presented to show the feasibility of the designed imaging function.

1. Introduction

Real-time determination of moving objects from the measured scattered fields for far-field patterns is an important and interesting inverse scattering problem [1], [2], [3]. Various studies have proposed remarkable algorithms for identifying the moving objects, mostly based on solving an optimization problem through an iterative process [4], [5], [6], but it is generally well-known that the iteration-based algorithms require a good pre-requisite knowledge and large computational costs. For fast imaging, various non-iterative algorithms for inverse scattering problems have been investigated. Among them, Kirchhoff and subspace migrations are known to be effective, fast, and robust algorithms for imaging extended objects [7], [8], [9], [10].