先验知识在压缩感知求解电磁场问题中的应用  

Application of Apriori Knowledge to Solving Problems of Electromagnetic Field by Compressed Sensing

作　　者：曹欣远[1] 陈明生[2] 吴先良[1,2] 沈晶[1,2] 

机构地区：[1]安徽大学电子信息工程学院,安徽合肥230039 [2]合肥师范学院电子信息工程学院,安徽合肥230601

出　　处：《电子学报》2013年第12期2361-2366,共6页Acta Electronica Sinica

基　　金：国家自然科学基金项目(No.60931002;No.61001033);教育部科学技术重点项目(No.212081);安徽省自然科学基金(No.1108085J01);安徽高校省级自然科学研究重点项目(No.KJ2011A240)

摘　　要：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.Fast analysis of electromagnetic scattering problems of three-dimensional（3D） objects over a wide incident angle is always a difficult problem in computational electromagnetics .Previous study shows that introducing compressed sensing （CS）tech-nique into method of moments （MoM ）can reconstruct currents over all incident angles from only several measurements ,thereby it can improve the computation efficiently .For the purpose of acquiring total number of measurements and choice of sparse transform when using compressed sensing ,a priori technique based on physical optics （PO ）is proposed in this paper .By this technique ,sparsity of the projection of current coefficients over the wide angle and the number of times of measurement can be pre-estimated ,thereby apriori knowledges can be provided for the fast algorithm of solving scattering problems over a wide angle by CS （especially the choice of sparse bases ） ,thus the fast algorithm can be applied into engineering practice in a real sense .

关 键 词：物理光学法 (PO ) 先验知识 压缩感知 (CS ) 矩量法 (MoM ) physical optics(PO) compressed sensing(CS) method of moments(MoM) 

分 类 号：O441.4[理学—电磁学]