压缩感知在解决大角度三维电磁散射问题中的应用

2012 International Conference on Microwave and Millimeter Wave Technology (ICMMT) Pub Date : 2012-05-05 DOI:10.1109/ICMMT.2012.6230088

Xinyuan Cao, Mingsheng Chen, Xianliang Wu

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引用次数: 6

摘要

将压缩感知(CS)引入矩量法(MoM)，用于求解大角度的三维电磁散射问题。在传统的矩量法中，大角度问题的计算是通过在更细的角度步长上进行迭代运算来实现的，这必然会导致效率低下。在将CS技术应用于MoM后，只需几次测量即可计算出任何角度的结果。该方法的实现步骤如下:首先利用稀疏变换的MOM方法获得感应电流的测量值，最后通过恢复算法重建真实感应电流。数值算例表明，CS计算结果可以在较低的CPU消耗下保持较高的精度。

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Application of Compressed Sensing to solving 3D electromagnetic scattering problems over a wide angle

This paper introduces Compressed Sensing (CS) into Method of Moments (MoM) to solving 3D electromagnetic scattering problems over a wide angle. In traditional MoM, the calculation of the problem over a wide angle is implemented with iterative operations at a finer angle step, which must results to low efficiency. After applying CS technique to MoM results over any angles can be calculated with only several measurements. This method can be implemented by the following steps: obtaining measurements of induced currents by MOM with a sparse transform, and finally reconstructing the real induced currents by a recovery algorithm. Numerical examples showed that the results computed by CS could keep high accurate with low CPU time consumed.

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2012 International Conference on Microwave and Millimeter Wave Technology (ICMMT)

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