贴壁非线性SAR成像
Through-the-Wall Nonlinear SAR Imaging
摘要：
研究了SAR数据在穿墙成像中的逆散射问题。与传统的基于Born近似的线性化数学模型的SAR成像算法不同，本文考虑了完全非线性的情况。为了避免局部极小值问题，所谓的“凸化”的全局收敛的反演方案被施加到近似的斜程（SR）介电常数在3-D域中的分布。本文的基准场景包括一个均匀的介质墙和隐藏在其后面的不同介质目标，其结果包括感兴趣场景的SR介电常数的二维图像。数值结果得到的建议反演方法的计算模拟和实验数据。结果表明，墙后目标的SR介电常数的值、横距大小和位置与真实目标的SR介电常数的值、横距大小和位置接近。与传统SAR成像中常用的Born近似所提供的线性化逆散射问题的解决方案的数值比较，显示出我们的结果的显着更好的精度。
英文摘要：
An inverse scattering problem for SAR data in application to through-the-wall imaging is addressed. In contrast with the conventional algorithms of SAR imaging, that work with the linearized mathematical model based on the Born approximation, the fully nonlinear case is considered here. To avoid the local minima problem, the so-called "convexification" globally convergent inversion scheme is applied to approximate the distribution of the slant range (SR) dielectric constant in the 3-D domain. The benchmark scene of this paper comprises a homogeneous dielectric wall and different dielectric targets hidden behind it. The results comprise two dimensional images of the SR dielectric constant of the scene of interest. Numerical results are obtained by the proposed inversion method for both the computationally simulated and experimental data. Our results show that the values, cross-range sizes and locations of SR dielectric constants for targets hidden behind the wall are close to those of real targets. Numerical comparison with the solution of the linearized inverse scattering problem provided by the Born approximation, commonly used in conventional SAR imaging, shows a significantly better accuracy of our results.
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