论文标题

不确定性定量的子孔径SAR成像

Sub-aperture SAR Imaging with Uncertainty Quantification

论文作者

Churchill, Victor, Gelb, Anne

论文摘要

在聚光灯模式的问题空气中的合成孔径雷达(SAR)图像形成中,众所周知,在宽方位角收集的数据违反了通常假定的各向同性散射特性。已经提出了许多技术来解决此问题,包括基于过滤,正则最小二乘和贝叶斯方法的全孔和子孔径方法。最近引入了一种在结合适当的斑点建模和还原之前使用层次贝叶斯的全孔方法,以产生后密度的样品,而不是单个图像估计。这种不确定性量化信息更强大,因为它可以为场景生成各种统计信息。但是,由于采样效率低下,该方法不适合大量问题。此外,该方法没有明确设计来减轻各向同性散射假设的影响。因此,在这项工作中,我们提出了一种新的子孔径SAR成像方法,该方法使用稀疏的贝叶斯学习型算法来更有效地为每个子孔径窗口产生近似后的密度。这些估计本身可能很有用,或者在感兴趣的时候,这些分布的统计数据可以组合起来形成复合图像。此外,与经常雇用的LP规范最小二乘方法不同,不需要用户定义的参数。进行了特定于应用程序的调整,以减少典型的繁重的运行时和存储要求,以便可以生成适当的大图像。最后,本文着重于将这些技术纳入SAR图像形成过程中。也就是说,对于从SAR阶段历史数据开始的问题,因此不会产生其他处理错误。

In the problem of spotlight mode airborne synthetic aperture radar (SAR) image formation, it is well-known that data collected over a wide azimuthal angle violate the isotropic scattering property typically assumed. Many techniques have been proposed to account for this issue, including both full-aperture and sub-aperture methods based on filtering, regularized least squares, and Bayesian methods. A full-aperture method that uses a hierarchical Bayesian prior to incorporate appropriate speckle modeling and reduction was recently introduced to produce samples of the posterior density rather than a single image estimate. This uncertainty quantification information is more robust as it can generate a variety of statistics for the scene. As proposed, the method was not well-suited for large problems, however, as the sampling was inefficient. Moreover, the method was not explicitly designed to mitigate the effects of the faulty isotropic scattering assumption. In this work we therefore propose a new sub-aperture SAR imaging method that uses a sparse Bayesian learning-type algorithm to more efficiently produce approximate posterior densities for each sub-aperture window. These estimates may be useful in and of themselves, or when of interest, the statistics from these distributions can be combined to form a composite image. Furthermore, unlike the often-employed lp-regularized least squares methods, no user-defined parameters are required. Application-specific adjustments are made to reduce the typically burdensome runtime and storage requirements so that appropriately large images can be generated. Finally, this paper focuses on incorporating these techniques into SAR image formation process. That is, for the problem starting with SAR phase history data, so that no additional processing errors are incurred.

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