电子学报
電子學報
전자학보
ACTA ELECTRONICA SINICA
2013年
12期
2361-2366
,共6页
曹欣远%陈明生%吴先良%沈晶
曹訢遠%陳明生%吳先良%瀋晶
조흔원%진명생%오선량%침정
物理光学法 (PO )%先验知识%压缩感知 (CS )%矩量法 (MoM )
物理光學法 (PO )%先驗知識%壓縮感知 (CS )%矩量法 (MoM )
물리광학법 (PO )%선험지식%압축감지 (CS )%구량법 (MoM )
physical optics(PO)%prior knowledge%compressed sensing(CS)%method of moments(MoM)
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。
快速求解三維目標寬角度電磁散射問題一直都是計算電磁學中的一箇難點問題。前期研究錶明:在傳統矩量法中引入壓縮感技術後可僅通過數次觀測還原齣全部入射角度下的電流,從而有效減少計算量。為穫取應用壓縮感知時所需的觀測次數併討論閤適的稀疏變換選擇,本文提齣一種基于物理光學法的先驗技術。該技術可對寬角度下電流繫數的投影稀疏度及相應的觀測次數進行預估,為利用壓縮感知求解寬角度問題的快速算法特彆是稀疏轉換基的選擇提供瞭先驗知識,在實際計算前確定瞭相關參數,從而為該快速算法應用于工程實踐奠定瞭良好基礎。
쾌속구해삼유목표관각도전자산사문제일직도시계산전자학중적일개난점문제。전기연구표명:재전통구량법중인입압축감기술후가부통과수차관측환원출전부입사각도하적전류,종이유효감소계산량。위획취응용압축감지시소수적관측차수병토론합괄적희소변환선택,본문제출일충기우물리광학법적선험기술。해기술가대관각도하전류계수적투영희소도급상응적관측차수진행예고,위이용압축감지구해관각도문제적쾌속산법특별시희소전환기적선택제공료선험지식,재실제계산전학정료상관삼수,종이위해쾌속산법응용우공정실천전정료량호기출。
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 .