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arXiv 1401.4014math.AP
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曲线航迹和非平坦地形下SAR中奇异性的消除

Cancellation of Singularities in SAR for Curved Flight Paths and Non-Flat Topography

Andrew Homan

摘要:

本文考虑一个已知地形(可能是非平坦地形)的合成孔径雷达(SAR)的数学模型。在这种情况下,我们考虑的问题,恢复地面反射率的波前集,给定的雷达数据沿弯曲的飞行路径。我们表明,如果奇点位于“镜像点”,那么所得到的数据可能是平滑的,实际上,奇点“取消。“在平坦的地形下,这些镜像点总是离散的,但我们表明,在非平坦的地形下,可能有无限个镜像点家族。

英文摘要:

We consider a mathematical model of synthetic aperture radar (SAR) with a known, possibly non-flat, topography. In this context we consider the problem of recovering the wavefront set of the ground reflectivity, given radar data measured along a curved flight path. We show that if singularities are located at "mirror points," then the resulting data may be smooth; in effect, the singularities "cancel." With a flat topography, these mirror points are always discrete, but we show that in a non-flat topography there may be infinite families of mirror points.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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