| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Sparse Transform Matrices and Their Application in the Calculation of Electromagnetic Scattering Problems |
| CAO Xin-Yuan1, CHEN Ming-Sheng2**, WU Xian-Liang2 |
1School of Electronics and Information Engineering, Anhui University, Hefei 230039
2School of Electronics and Information Engineering, Hefei Normal University, Hefei 230601
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| Cite this article: |
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CAO Xin-Yuan, CHEN Ming-Sheng, WU Xian-Liang 2013 Chin. Phys. Lett. 30 028401 |
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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.
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Received: 07 November 2012
Published: 02 March 2013
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| PACS: |
84.40.-x
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(Radiowave and microwave (including millimeter wave) technology)
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[1] See K Y, Chua E K and Liu Z 2009 Prog. Electromagn. Res. 94 367
[2] Li J Y, Li L W and Gan Y B 2005 J. Electromagnet. Wave. 19 1729
[3] Chen M S, Wu X L, Sha W and Huang Z X 2008 Chin. Phys. Lett. 25 1000
[4] Zhang J D, Zhu D Y and Zhang G 2012 IEEE Trans. Signal Process. 60 1718
[5] Yu G S and Sapiro G 2011 IEEE Trans. Signal Process. 59 5842
[6] Hussain Z, Taylor J S, Hardoon D R and Dhanjal C 2011 IEEE Trans. Inf. Theory 57 5326
[7] Needell D and Vershynin R 2010 IEEE J. Sel. Top. Signal Process. 4 310
[8] Vipiana F, Pirinoli P and Vecchi G 2007 IEEE Trans. Antennas Propag. 55 3229
[9] Wang R, Guo L X, Ma J and Wu Z S 2009 Chin. Phys. B 18 1503
[10] Cao X Y, Chen M S and Wu X L 2012 IEEE International Conference on Microwave and Millimeter Wave Technology (ICMMT) (Shenzhen, China 5–8 May 2012) 2 1
[11] Lefebvre J E, Zhang V, Gazalet J and Gryba T 1999 J. Appl. Phys. 85 3419
[12] Di L et al 2002 IEEE Trans. Electron Devices 49 1172
[13] Chi C 1966 IEEE Trans. Autom. Control 11 144
[14] Zhou D et al 2010 IEEE Trans. Antennas Propag. 58 2785
[15] Igor R 2005 Proc. Am. Math. Soc. 133 1299
[16] Nicholson B D, Rabinowitz P, Richter N and Zeilberger D 1971 Math. Comput. 25 79
[17] Nagao T and Slevin K 1993 J. Math. Phys. 34 2075
[18] Chung Y S et al 2004 IEEE Trans. Antennas Propag. 52 2319
[19] Withers C and Nadarajah S 2006 Electron. Lett. 42 1368
[20] Olivier P D 1991 Electron. Lett. 27 352 |
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