Sparse Transform Matrices and Their Application in the Calculation of Electromagnetic Scattering Problems
CAO Xin-Yuan1 , CHEN Ming-Sheng2** , WU Xian-Liang2
1 School of Electronics and Information Engineering, Anhui University, Hefei 2300392 School of Electronics and Information Engineering, Hefei Normal University, Hefei 230601
Abstract ：When compressed sensing is introduced into the moment method, a 3D electromagnetic scattering problem over a wide angle can be solved rapidly, and the selection of sparse basis has a direct influence on the performance of this algorithm, especially the number of measurements. We set up five sparse transform matrices by discretization of five types of classical orthogonal polynomials, i.e., Legendre, Chebyshev, the second kind of Chebyshev, Laguerre, and Hermite polynomials. Performances of the algorithm using these matrices are compared via numerical experiments, and the results show that some of them obviously work excellently and can accelerate wide angle scattering analysis greatly.
收稿日期: 2012-11-07
出版日期: 2013-03-02
:
84.40.-x
(Radiowave and microwave (including millimeter wave) technology)
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2013, Vol. 30 
