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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.
[1] Hanington R F 1968 Field Computation by Moment Methods (New York: Maxillan) p6
[2] Nie Z P, Wang H G 2003 Acta Phys. Sin. 52 3035 (in Chinese) [聂在平, 王浩刚 2003 物理学报 52 3035]
[3] Ma J, Guo L X, Wang A Q 2009 Chin. Phys. B 18 3431
[4] Steinberg B Z, Leviatan Y 1993 IEEE Trans. Antennas Propagat. 41 610
[5] Jrgensen E, Volakis J L, Meincke P, Breinbjerg O 2004 IEEE Trans. Antennas Propag. 52 2985
[6] Gao Q, Yi S H, Jiang Z F, Zhao Y X, Xie W K 2012 Chin. Phys. B 21 064701
[7] Wang L Y, Li L, Yan B 2010 Chin. Phys. B 19 088106
[8] Donoho D L 2006 IEEE Trans. Inform. Theory 52 1289
[9] Baraniuk R G 2007 IEEE Sig. Proc. Mag. 24 118
[10] Tao T 2005 Math. Res. Lett. 12 121
[11] Candès E J 2008 Comptes Rendus Mathematique 346 589
[12] Pati Y C, Rezaiifar R, Krishnaprasad P S 1993 Proc. 27th Annu. Asilomar Conf. Signals, Systems, and Computers Pacific Grove, U.S.A., Nov. 1-3, 1993 p40
[13] Bai X, Li Y Q, Zhao S M 2013 Acta Phys. Sin. 62 044209 (in Chinese) [白旭, 李永强, 赵生妹 2013 物理学报 62 044209]
[14] Kutyniok G 2012 CoRR abs/1203 3815
[15] Chen S S, Donoho D L, Saunders M A 2001 SIAM Rev. 43 129
[16] Chen M S, Liu F L, Du H M, Wu X L 2011 IEEE Anten. Wireless Propag. Lett. 10 1243
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[1] Hanington R F 1968 Field Computation by Moment Methods (New York: Maxillan) p6
[2] Nie Z P, Wang H G 2003 Acta Phys. Sin. 52 3035 (in Chinese) [聂在平, 王浩刚 2003 物理学报 52 3035]
[3] Ma J, Guo L X, Wang A Q 2009 Chin. Phys. B 18 3431
[4] Steinberg B Z, Leviatan Y 1993 IEEE Trans. Antennas Propagat. 41 610
[5] Jrgensen E, Volakis J L, Meincke P, Breinbjerg O 2004 IEEE Trans. Antennas Propag. 52 2985
[6] Gao Q, Yi S H, Jiang Z F, Zhao Y X, Xie W K 2012 Chin. Phys. B 21 064701
[7] Wang L Y, Li L, Yan B 2010 Chin. Phys. B 19 088106
[8] Donoho D L 2006 IEEE Trans. Inform. Theory 52 1289
[9] Baraniuk R G 2007 IEEE Sig. Proc. Mag. 24 118
[10] Tao T 2005 Math. Res. Lett. 12 121
[11] Candès E J 2008 Comptes Rendus Mathematique 346 589
[12] Pati Y C, Rezaiifar R, Krishnaprasad P S 1993 Proc. 27th Annu. Asilomar Conf. Signals, Systems, and Computers Pacific Grove, U.S.A., Nov. 1-3, 1993 p40
[13] Bai X, Li Y Q, Zhao S M 2013 Acta Phys. Sin. 62 044209 (in Chinese) [白旭, 李永强, 赵生妹 2013 物理学报 62 044209]
[14] Kutyniok G 2012 CoRR abs/1203 3815
[15] Chen S S, Donoho D L, Saunders M A 2001 SIAM Rev. 43 129
[16] Chen M S, Liu F L, Du H M, Wu X L 2011 IEEE Anten. Wireless Propag. Lett. 10 1243
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