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电子学报  2013 

先验知识在压缩感知求解电磁场问题中的应用

DOI: 10.3969/j.issn.0372-2112.2013.12.007, PP. 2361-2366

Keywords: 物理光学法(PO),先验知识,压缩感知(CS),矩量法(MoM)

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Abstract:

快速求解三维目标宽角度电磁散射问题一直都是计算电磁学中的一个难点问题.前期研究表明:在传统矩量法中引入压缩感技术后可仅通过数次观测还原出全部入射角度下的电流,从而有效减少计算量.为获取应用压缩感知时所需的观测次数并讨论合适的稀疏变换选择,本文提出一种基于物理光学法的先验技术.该技术可对宽角度下电流系数的投影稀疏度及相应的观测次数进行预估,为利用压缩感知求解宽角度问题的快速算法特别是稀疏转换基的选择提供了先验知识,在实际计算前确定了相关参数,从而为该快速算法应用于工程实践奠定了良好基础.

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