Abstract
This chapter presents a state of the art of the UWB (ultra-wideband) radar for through-the-wall imaging, followed by a description of different methods to scan a scene situated through a wall using a UWB system. Principal attention of this chapter focuses on a mechanical scanning radar system and associated image processing to detect a human body through a wall and also the environment of a target.
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Notes
- 1.
is the subspace functions such that the following quantity, called the total variation of u, is finite:
$$J\left( u \right) = \sup \left\{ {\int\limits_\Omega {u\left( x \right){\rm{ div}}\left( {\xi \left( x \right)} \right)dx} } \right\},$$such that \(\xi \in C_c^1 \left( {\Omega ,\ \Re ^2 } \right),\left\| \xi \right\|_{L^\infty \left( \Omega \right)} \le 1.\)
- 2.
G the subspace introduced by Meyer; oscillating patterns have a small G-norm.
- 3.
E is a dual space to model the noise: \(E = B_{ - 1,\infty }^\infty \) dual space of \(B_{1,1}^1\).
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Acknowledgments
This work was partly funded by the University of La Rochelle through a Bonus Qualité Recherche project. Authors thank Ms J. Coates for help with English expressions.
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Liebe, C., Gaugue, A., Khamlichi, J., Menard, M., Ogier, JM. (2010). UWB Radar: Mechanical Scanning and Signal Processing for Through-the-Wall Imaging. In: Sabath, F., Giri, D., Rachidi, F., Kaelin, A. (eds) Ultra-Wideband, Short Pulse Electromagnetics 9. Springer, New York, NY. https://doi.org/10.1007/978-0-387-77845-7_45
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