压缩感知结合FMM分析目标宽角度电磁散射问题  

Hybrid Method of Compressed Sensing and FMM for Solving Target Electromagnetic Scattering Problems over a Wide Angle

作　　者：胡金花[1,2] 陈明生 孔勐[1,2] 张量 吴先良[2,3] 

机构地区：[1]合肥师范学院电子信息工程学院,合肥230601 [2]安徽省电子信息系统仿真设计重点实验室,合肥230601 [3]安徽大学计算智能与信号处理教育部重点实验室,合肥230039

出　　处：《微波学报》2017年第5期30-34,共5页Journal of Microwaves

基　　金：国家自然科学基金(51477039;61301062);2015年度安徽高校自然科学研究重点项目(KJ2015A260);安徽省学术技术带头人项目资助(XSDTR2016028)

摘　　要：应用快速多极子方法(FMM)直接计算宽角度电磁散射问题时,需要对每一个入射角度迭代求解,计算量较大,效率较低。基于快速多极子方法中聚合、转移和发散过程与电磁波入射方向的无关性,将压缩感知理论(CS)引入并构建富含空间信息的新型激励源,仅由远小于入射角度数目的几次快速多极子计算,即可获得感应电流的观测值,近而恢复出所有入射角度下的激励电流。与传统矩量法结合压缩感知理论方法相比,该方法的计算精度较高,并且计算时间大幅减少。As fast multipole method （FMM） is used directly to calculate electromagnetic scattering problems over a wide incident angles,it needs to calculate iteration each time as incident angle changes,so the operation time is long and the efficiency is low.Considering the aggregation matrix,translation matrix and disaggregation matrix are independent from the incident angles,compressed sensing （CS） is used to solve problems of this kind,in which several new excitation sources that including various spatial information are formed to obtain several measurements,and then currents over any incident angles can be calculated by reconstructed techniques.Compared with conventional method of moments （MOM） the proposed method can obtain high accuracy numerical results and the computational time is reduced greatly.

关 键 词：快速多极子方法(FMM) 压缩感知(CS) 矩量法 宽角度 电磁散射 

分 类 号：TN011[电子电信—物理电子学]