Abstract

In this paper, the problem of how to spatially sample the scattered field in microwave through-the wall imaging is addressed. To this end, a two-dimensional scalar configuration for a three-layered back-ground medium is considered under a linearized scattering model. The aim is to collect as low as possible measurements by maintaining the same performance in the reconstructions. Accordingly, the number and the positions of the spatial measurement points are determined so that the point-spread function of the resulting semi-discrete problem approximates well the one of the ideal continuous case (i.e., when data space is not sampled at all). It is shown that the resulting measurement spatial positions must be non-uniformly arranged across the measurement domain and their number is generally much lower than the one returned by some literature sampling criteria. Also, the measurement points can be analytically determined by taking into account the geometrical parameters as well as the wall features. Numerical examples are included to check the theoretical arguments.

Highlights

  • T Rough wall radar imaging (TWRI) exploits the electromagnetic wave capability to penetrate through nonmetallic obstacles to detect and localize targets hidden behind them

  • Many reconstruction algorithms have been developed in literature, such as inverse filtering [2], delay-and-sum beam-forming [3], [4], back-projection [5], contrast source inversion [6], and diffraction tomography (DT) [7], [8]

  • We focus in reducing the number of spatial measurements, but the method can be applied to reduce both spatial and frequency measurements [27], the resulting spatial-frequency measurement grid can be not necessarily convenient

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Summary

INTRODUCTION

T Rough wall radar imaging (TWRI) exploits the electromagnetic wave capability to penetrate through nonmetallic obstacles to detect and localize targets hidden behind them. Such methods select the measurement points by running iterative procedures and generally require a a priori information on the problem number of degrees of freedom (NDF) [19]- [22]. The main drawback while considering a three-layered background medium is the need to compute the two refractive points occurring a the wall interfaces. To overcome this issue, an equivalent two-layered model is employed [28]- [29], which allows to resort to the same results derived in [25].

SAMPLING STRATEGY
SAMPLING FOR A TWI SCENARIO
NUMERICAL ANALYSIS
CONCLUSION
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