High-precision Solution of Monostatic Radar Cross Section based on Compressive Sensing and QR Decomposition Techniques
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https://doi.org/10.13052/2023.ACES.J.380809关键词:
compressing sensing, characteristic basis functions, monostatic electromagnetic scattering摘要
In solving the monostatic electromagnetic scattering problem, the traditional improved primary characteristic basis function method (IPCBFM) often encounters difficulties in constructing the reduced matrix due to the long computation time and low accuracy. Therefore, a new method combining the compressed sensing (CS) technique with IPCBFM is proposed and applied to solve the monostatic electromagnetic scattering problem. The proposed method utilizes the characteristic basis functions (CBFs) generated by the IPCBFM to achieve a sparse transformation of the surface-induced currents. Several rows in the impedance matrix and excitation vector are selected as the observation matrix and observation vector. The QR decomposition is adopted as the recovery algorithm to realize the recovery of surface-induced currents. Numerical simulations are performed for cylinder, cube, and almond models, and the results show that the new method has higher solution accuracy, shorter computation time, and stronger solution stability than the traditional IPCBFM. It is worth mentioning that the new method reduces the recovery matrix size and the number of CBFs quantitatively, and provides a novel solution for solving monostatic RCS of complex targets.
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参考
R. F. Harrington, Field Computation by Moment Methods, Malabar, Fla.: R. E. Krieger, 1968.
R. Coifman, V. Rokhlin, and S. Wandzura, “The fast multipole method for the wave equation: A pedestrian prescription,” IEEE Antennas and Propagation Magazine, vol. 53, no. 3, pp. 7-12,1993.
V. A. Prakash and R. Mittra, “Characteristic basis function method: A new technique for efficient solution of method of moments matrix equations,” Microwave and Optical Technology Letters, vol. 36, pp. 95-100, 2002.
E. Lucente, A. Monorchio, and R. Mittra, “An iteration-free MoM approach based on excitation independent characteristic basis functions for solving large multiscale electromagnetic scattering problems,” IEEE Transactions on Antennas and Propagation, vol. 56, pp. 999-1007, 2008.
E. Bleszynski, M. Bleszynski, and T. Jaroszewicz, “Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems,” Radio Science, vol, 31, pp. 1225-1251, 1996.
Z. Liu, R. Chen, J. Chen, and Z. Fan, “Using adaptive cross approximation for efficient calculation of monostatic scattering with multiple incident angles,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 26, pp. 325-333, 2011.
M. S. Chen, F. L. Liu, H. M. Du, and X. L. Wu, “Compressive sensing for fast analysis of wide-angle monostatic scattering problems,” IEEE Antennas and Wireless Propagation Letters, pp. 1243-1246, 2011.
S. R. Chai and L. X. Guo. “A new method based on compressive sensing for monostatic scattering analysis,” Microwave and Optical Technology Letters, vol, 10, pp. 2457-2461, 2015.
E. J. Candes, T. Tao, “Near-optimal signal recovery from random projections: Universal encoding strategies,” IEEE Transactions on Information Theory, vol, 52, pp. 5406-5425, 2006.
D. L. Donoho, “Compressed sensing,” IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, 2006.
Z. G. Wang, W. Y. Nie, and H. Lin. “Characteristic basis functions enhanced compressive sensing for solving the bistatic scattering problems of three-dimensional targets,” Microwave and Optical Technology Letters, vol. 62, pp, 3132-3138,2020.
Z. G. Wang, P. Wang, Y. Sun, and W. Nie, “Fast analysis of bistatic scattering problems for three-dimensional objects using compressive sensing and characteristic modes,” IEEE Antennas and Wireless Propagation Letters, vol. 21, pp. 1817-1821, 2022.
A. M. Bruckstein, D. L. Donoho, and M. Elad, “From sparse solutions of systems of equations to sparse modeling of signals and images,” SIAM Review, vol. 51, pp. 34-81, 2009.
J. Wang, S. Kwon, and B. Shim, “Generalized orthogonal matching pursuit,” IEEE Transactions on Signal Processing, vol. 60, pp. 6202-6216, 2012.
J. A. Tropp and A. C. Gilbert, “Signal recovery from random measurements via orthogonal matching pursuit,” IEEE Trans. Inf. Theory, vol. 53, pp. 4655-4666, Dec. 2007.
X. Chen, C. Gu, Z. Niu, Y. Niu, and Z. Li, “Efficient iterative solution of electromagnetic scattering using adaptive cross approximation enhanced characteristic basis function method,” IET Microwaves, Antennas & Propagation, vol. 9, pp. 217-223,2015.
E. García, C. Delgado, and F. Cátedra, “A novel and efficient technique based on the characteristic basis functions method for solving scattering problems,” IEEE Trans. Antennas Propag., vol. 67, pp. 3241-3248, 2019.
Z. G. Wang, C. Qing, and W. Y. Nie, “Novel reduced matrix equation constructing method accelerates iterative solution of characteristic basis function method,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 34, pp. 1814-1820, Dec. 2019.
T. Tanaka, Y. Inasawa, and Y. Nishioka, “Improved primary characteristic basis function method for monostatic radar cross section analysis of specific coordinate plane,” IEICE Transactions on Electronics, vol. E99-C, pp. 2835, 2016.
C. R. Goodall. “Computation using the QR decomposition,” Handbook of Statistics, vol. 9, pp. 467-508, 1993.
E. J. Candes. “The restricted isometry property and its implications for compressed sensing,” Comptes Rendus Mathematique, vol. 346, pp. 589-592, 2008.
R. Baraniuk, “A lecture on compressive sensing,” IEEE Signal Processing Magazine, vol. 24, pp. 181-121, 2006.