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A necessary condition for applying MUSIC algorithm in limited-view inverse scattering problem

机译:在有限视图逆散射问题中应用音乐算法的必要条件

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Throughout various results of numerical simulations, it is well-known that MUltiple Signal Classification (MUSIC) algorithm can be applied in the limited-view inverse scattering problems. However, the application is somehow heuristic. In this contribution, we identify a necessary condition of MUSIC for imaging of collection of small, perfectly conducting cracks. This is based on the fact that MUSIC imaging functional can be represented as an infinite series of Bessel function of integer order of the first kind. Numerical experiments from noisy synthetic data supports our investigation.
机译:在数值模拟的各种结果中,众所周知,可以在有限的视图逆散射问题中应用多个信号分类(音乐)算法。但是,申请是某种方式启发式。在这一贡献中,我们确定了用于成像的小,完全导电裂缝的成像的必要条件。这是基于音乐成像功能可以表示为第一类整数顺序的无限系列的贝塞尔函数。嘈杂合成数据的数值实验支持我们的调查。

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