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针对实际逆合成孔径雷达(ISAR)成像时带宽有限、方位孔径稀疏的小角度回波数据条件下, 常规算法的成像分辨率不高等问题, 基于压缩感知理论, 提出了一种低信噪比条件下的二维联合布雷格曼迭代快速ISAR超分辨成像算法. 首先, 将雷达回波构建为距离频域-方位多普勒域的二维稀疏表示模型, 在此基础上, 将二维超分辨成像问题转换为二维联合压缩感知的稀疏重构问题; 其次, 为了避免重构时向量化操作带来的复杂度, 提出了二维联合布雷格曼迭代算法, 为实现快速重构, 将加权残量迭代、估计停滞步长与感知矩阵条件数优化三种加快收敛速度的思想相结合, 既利用了布雷格曼迭代在低信噪比条件下的重构能力又能保证快速成像. 最后仿真实验结果表明在欠采样和低信噪比条件下本文算法能够缩短成像时间, 且具备更好的噪声鲁棒性.In practical inverse synthetic aperture radar (ISAR), the traditional imaging algorithms have low range and low cross-range resolutions while the echoes have limited bandwidth and sparse azimuth aperture in small coherent processing interval. To obtain super-resolution ISAR imaging at low signal-to-noise (SNR) ratios, this paper puts forward a novel fast two-dimensional joint linearized Bregman iteration (2D-JLBI) algorithm based on compressive sensing theory. Firstly, the radar echoes are established as a two-dimensional joint sparse representation model in the range frequency-azimuth Doppler domain. Consequently, the original two-dimensional super resolution imaging problem is converted into a two-dimensional jointly compressive reconstruction problem. Secondly, to avoid the reconstruction complexity from the vectorization of the echoes, the two-dimensional joint linearized Bregman iterative algorithm is proposed. Meanwhile, three strategies, namely the weighted residual iteration, estimation of the stagnation step, and optimizing the condition numbers of sensing matrices, are combined to improve the convergence speed. Both the ISAR imaging ability at low SNR and its speed are improved obviously. Finally, simulation experiments show that the proposed algorithm can shorten the imaging time and have better noise robustness under the condition of sub-Nyquist sampling rate and low SNR.
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Keywords:
- inverse synthetic aperture radar /
- compressive sensing /
- linearized Bregman iteration /
- super resolution
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[17] Liu J H 2012 Ph. D. Dissertation (Chang Sha: National University of Defense Technology) (in Chinese) [刘记红 2013 博士学位论文(长沙:国防科技大学)]
[18] Zhang H 2009 M. S. Dissertation (Chang Sha: National University of Defense Technology) (in Chinese) [张慧 2009 硕士学位论文 (长沙:国防科技大学)]
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[1] Guo B F, Shang C X, Wang J L, Gao M G, Fu X J 2014 Acta Phys. Sin. 63 238406 (in Chinese) [郭宝锋, 尚朝轩, 王俊岭, 高梅国, 傅雄军 2014 物理学报 63 238406]
[2] Yan R 2010 M. S. Dissertaion (Xian: Xidian University) (in Chinese) [闫蓉 2010 硕士学位论文 (西安: 西安电子科技大学)]
[3] Bi Z, Li J, Liu Z S 1999 Trans. Aerosp. Electron. Syst. 35 267
[4] Chen M S, Wang S W, Ma T, Wu X L 2014 Acta Phys. Sin. 63 170301 (in Chinese) [陈明生, 王时文, 马韬, 吴先良 2014 物理学报 63 170301]
[5] Chai S R, Guo L X 2015 Acta Phys. Sin. 64 060301 (in Chinese) [柴水荣, 郭立新 2015 物理学报 64 060301]
[6] Sun Y L, Tao J X 2014 Chin. Phys. B 23 078703
[7] Li S D, Chen W F, Yang J, Ma X Y 2015 J. Electron. 43 708 (in Chinese) [李少东, 陈文峰, 杨军, 马晓岩 2015 电子学报 43 708]
[8] Chen Y C, Zhang Q, Chen X P, Luo Y, Gu F F 2014 J. Electron. Inform.Technol. 36 2987 (in Chinese) [陈一畅, 张群, 陈校平, 罗迎, 顾福飞 2014 电子与信息学报 36 2987]
[9] Wu M, Xing M D, Zhang L 2014 J. Electron. Inform.Technol. 36 187 (in Chinese) [吴敏, 邢孟道, 张磊 2014 电子与信息学报 36 187]
[10] 10 Qiu W, Zhao H Z, Zhou J X, Fu Q 2014 IEEE Trans.Geosci. Remote Sens. 52 6119
[11] Wen R, Li G, Wang X Q, Xia X G 2014 Sci. China: Inf. Sci. 57 022315
[12] Yang J G 2013 Ph. D. Dissertation (Chang Sha: National University of Defense Technology) (in Chinese) [杨俊刚 2013 博士学位论文 (长沙:国防科技大学)]
[13] Li S Y, Zhao G Q, Li H M, Ren B L 2015 IEEE Trans. Ant. Prop. 63 828
[14] Yu X, Zhu D Y, Zhang J D, Jiang R 2014 J. Electron. 42 542 (in Chinese) [俞翔, 朱岱寅, 张劲东, 蒋锐 2014 电子学报 42 542]
[15] Bao Z, Xing M D, Wang T 2006 Radar Imaging Technique (Beijing: Publishing House of Electronics Industry) p24 (in Chinese) [保铮, 邢孟道, 王彤 2006 雷达成像技术 (北京: 电子工业出版社) 第24页]
[16] Serge L S 2012 IEEE Journal on Emerging and Selected Topics in Circuits and Systems 2 35
[17] Liu J H 2012 Ph. D. Dissertation (Chang Sha: National University of Defense Technology) (in Chinese) [刘记红 2013 博士学位论文(长沙:国防科技大学)]
[18] Zhang H 2009 M. S. Dissertation (Chang Sha: National University of Defense Technology) (in Chinese) [张慧 2009 硕士学位论文 (长沙:国防科技大学)]
[19] Osher S, Mao Y, Dong B, Yin W 2011 arXiv:1104.0262
[20] Huang B, Ma S Q, Donald G 2013 J. Sci. Comput. 54 428
[21] Li S D, Chen W F, Yang J, Ma X Y 2015 Sci. China: Inf. Sci. 45 1179 (in Chinese) [李少东, 陈文峰, 杨军, 马晓岩 2015 中国科学信息科学 45 1179]
[22] Cai J F, Osher S, Shen Z 2009 SIAM J. Imag. Sci. 2 226
[23] Stephen J W, Robert D N, Mrio A T F 2009 IEEE Trans. Sig. Proc. 57 2479
[24] Zhang L 2012 Ph. D. Dissertation (Xian: Xidian University) (in Chinese) [张磊 2012 博士学位论文 (西安:西安电子科技大学)]
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