Application of apriori knowledge to solving problems of electromagnetic field by compressed sensing

作者：Cao Xin Yuan; Chen Ming Sheng^*; Wu Xian Liang; Shen Jing

来源：Acta Electronica Sinica, 2013, 41(12): 2361-2366.

DOI：10.3969/j.issn.0372-2112.2013.12.007

• Apriori knowledge
• Compressive sensing
• Electromagnetic scattering problem
• Engineering practices
• Method of moments (MOM)
• Prior knowledge
• Scattering problems
• Three-dimensional (3D) objects

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) technique 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.

• 出版日期2013
• 单位安徽大学