A fast two dimensional joint linearized bregman iteration algorithm for super-resolution inverse synthetic aperture radar imaging at low signal-to-noise ratios

Li Shao-Dong; Chen Wen-Feng; Yang Jun; Ma Xiao-Yan

doi:10.7498/aps.65.038401

Abstract

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.

Keywords:

Authors and contacts

1.
No. three department, Air Force Early Warning Academy, Wuhan 430019, China

Corresponding author: Yang Jun, yangjem@126.com

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61179014).

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[13]	Li S Y, Zhao G Q, Li H M, Ren B L 2015 IEEE Trans. Ant. Prop. 63 828
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[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
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[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)]

Cited By

[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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Vol. 65, Issue 3 - 2016-02-05

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