物理学报Issue(12)：1-7,7.DOI:10.7498/aps.63.120202
压缩感知理论在矩量法中的应用
Application of compressed sensing theory in the metho d of moments
摘要
Abstract
Matrix filling and equation solving are the most computationally-expensive steps in the method of moments (MoM). Based on the compressed sensing (CS) theory, an improved method of MoM is proposed in this paper. Through introducing sparse transform matrix, the unknown response can be expressed sparsely, so we can construct and optimally solving underdetermined equation under the framework of CS. Numerical examples show that the proposed method can reduce the matrix filling cost dramatically, and also can improve the efficiency of equation solving effectively.关键词
压缩感知/矩量法/限制等距性质/积分方程Key words
compressed sensing/method of moment/restrict isometry property/integral equation引用本文复制引用
王哲,王秉中..压缩感知理论在矩量法中的应用[J].物理学报,2014,(12):1-7,7.基金项目
国家自然科学基金(批准号:61071031,61331007)和高等学校博士学科点专项科研基金(批准号:20100185110021,20120185130001)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant Nos.61071031,61331007) and the Specia-lized Research Fund for the Doctoral Program of Higher Education of China (Grant Nos.20100185110021,20120185130001) （批准号:61071031,61331007）
