Precision of interference polarization estimation is a major factor influencing radar polarization anti-jamming capability. To a certain extent, the spatial polarization characteristic (SPC) of radar is ill-conditioned, resulting in unstable solution to the estimation of received wave polarization. A least squares method with a quadratic constraint is presented to estimate polarization of the received wave. It treats the ill-conditioning problem in estimating the polarization state based on least square methods. Factors affecting stability of polarization estimation are analyzed, with computer simulation results in ill-conditioned cases for particular antenna forms. Theoretical analysis is then made and algorithmic steps given according to the principle of the proposed method. The simulation shows that the method can significantly reduce variance of polarization estimation so as to improve the estimation accuracy, useful in improving radar polarization anti-jamming capability.
LIU Wen-zhao, DAI Huan-yao, HUANG Zhen-yu, CUI Jian-ling
. Polarization Estimation of Received Interference Signal Based on Spatial Modulation Effect[J]. Journal of Applied Sciences, 2015
, 33(5)
: 518
-526
.
DOI: 10.3969/j.issn.0255-8297.2015.05.006
[1] Dai H Y, Wang X S, Luo J, Li Y Z. A new polarimetric method by using spatial polarization characteristics of scanning antenna [J]. IEEE Transaction on Antennas and Propagation, 2012, 60(3): 1653-1656.
[2] 戴幻尧,李永祯,王雪松,刘勇. 主瓣干扰极化抑制的新方法研究[J]. 中国科学:F辑,2012, 42(4): 460-466. Dai H Y, Li Y Z, Wang X S, Liu Y. New polarization method for the suppression of main lobe interference [J]. Scientia Sinica: Informationis, 2012, 42(4): 460-466. (in Chinese)
[3] Meng C Z, Xia X G, Liu F L. Ten MIMO-SAR waveforms separation based on virtual polarization filter [J]. Science China Information Sciences, 2015, 58(4): 113-117.
[4] 任博,施龙飞,王洪军,李永祯,王国玉. 抑制雷达主波束内GSM干扰的极化滤波方法研究[J]. 电 子与信息学报,2014, 36(2): 459-464. Ren B, Shi L F, Wang H J, Li Y Z. Investigation on of polarization filtering scheme to suppress GSM interference in radar main beam [J]. Journal of Electronics & Information Technology, 2014, 36(2): 459-464. (in Chinese)
[5] 张树银,郭英,齐子森,苏令华. 共形阵列LFM信号DOA和极化参数的联合估计[J]. 应用科学学 报,2013, 31(3): 252-258. Zhang S Y, Guo Y, Qi Z S, Su L H. Joint estimation of DOA and polarization for LFM signals using conformal array antenna [J]. Journal of Applied Sciences, 2013, 31(3): 252-258. (in Chinese)
[6] 罗佳,王雪松,李永祯,肖顺平. 一种估计来波信号极化状态的新方法[J]. 国防科技大学学报,2008, 30(5): 56-61. Luo J, Wang X S, Li Y Z, Xiao S P. A novel method for polarization states estimation of receiving wave [J]. Journal of National University of Defense Technology, 2008, 30(5): 56-61. (in Chinese)
[7] 吴杰,苗恒严. 测量数据处理中病态矩阵和部分有偏估计方法[J]. 测绘通报,2010(9): 9-11. Wu J, Miao H Y. Ill-posed matrix and partial biased estimation method in measurement data processing [J]. Bulletin of Surveying and Mapping, 2010(9): 9-11. (in Chinese)
[8] 王永弟,赵好好. 病态线性模型参数估计的主元加权迭代法[J]. 测绘通报,2014(2): 23-25. Wang Y D, Zhao H H. Pivot element weighted iterative method of ill-conditioned linear model parameter estimation [J]. Bulletin of Surveying and Mapping, 2014(2): 23-25. (in Chinese)
[9] Burke J V, Curtis F E, Wang H, Wang J S. Iterative reweighted linear least squares for exact penalty subproblems on product sets [J]. SIAM Journal on Optimization, 2015, 25(1): 261-294.
[10] Dykes L, Reichel L. Simplified GSVD computations for the solution of linear discrete ill-posed problems [J]. Journal of Computational and Applied Mathematics, 2014, 255: 15-27.
[11] 亓万锋,罗钟铉,樊鑫. 基于逼近型细分的诱导细分格式[J]. 中国科学:数学,2014, 44(7): 755-768. Qi W F, Luo Z X, Fan X. Induced subdivision scheme based on approximation subdivision [J]. Chinese Science Mathematics, 2014, 44(7): 755-768. (in Chinese)
[12] 顾勇为,归庆明,张璇,魏萌. 大地测量与地球物理中病态性问题的正则化迭代解法[J]. 测绘学 报,2014, 43(4): 331-336. Gu Y W, Gui Q M, Zhang X, Wei M. Iterative solution of regularization to ill-conditioned problems in geodesy and geophysics [J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(4): 331-336. (in Chinese)
[13] Reichel L, Rodriguez G. Old and new parameter choice rules for discrete ill-posed problems[J]. Numberical Algorithms, 2013, 63: 65-87.
[14] Liu C S. A dynamical tikhonov regularization for solving Ill-posed linear algebraic systems [J]. Acta Applicandae Mathematicae, 2013, 123: 285-307.