基于低秩稀疏分解的GPR杂波抑制方法

doi:10.12305/j.issn.1001-506X.2023.10.08

Abstract

Abstract:

For the problem of strong clutter when using ground penetrating radar (GPR) for landmine detection, a low rank and sparse decomposition (LRSD) based method is proposed. The proposed method introduces weighted nuclear norm (WNN) into robust principle component analysis (RPCA) and combines randomized singular value decomposition (RSVD) with the alternating direction method of multipliers (ADMM) to solve the optimization function, which suppresses the clutter by treating the target image as sparse component and the clutter image as low rank component and enhance the accuracy and efficiency of the proposed algorithm. The experimental results show that the proposed method can significantly improve the signal-to-clutter ratio (SCR) of the imaging results and the computation efficiency is over five times than that of the RPCA, which demonstrates the efficiency in clutter mitigation.

Key words: clutter suppression, low rank and sparse decomposition (LRSD), alternating direction method of multipliers (ADMM), ground penetrating radar (GPR)

CLC Number:

TN958

Cheng CHEN, Xiaoji SONG, Zhihua HE, Tao LIU, Laibao CAO, Yi SU. GPR clutter suppression method by low rank and sparse decomposition[J]. Systems Engineering and Electronics, 2023, 45(10): 3058-3064.

Figures/Tables 10

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References 31

5	刘澜波, 钱荣毅. 探地雷达: 浅表地球物理科学技术中的重要工具[J]. 地球物理学报, 2015, 58 (8): 2606- 2617.
	LIU L B , QIAN R Y . Ground penetrating radar: a critical tool in near-surface geophysics[J]. Chinese Journal of Geophysics, 2015, 58 (8): 2606- 2617.
6	LOPERA O , MILISAVLJEVIC N , LAMBOT S . Clutter reduction in GPR measurements for detecting shallow buried landmines: a colombian case study[J]. Near Surface Geophysics, 2007, 5 (1): 57- 64. doi: 10.3997/1873-0604.2006018
7	DANIELS D J. Ground penetrating radar. [C]//Proc. of the 2nd Edition IEE Radar, Sonar and Navigation Series 15, 2004: 252-255.
8	SOLIMENE R , CUCCARO A , DELLAVERSANO A , et al. Ground clutter removal in GPR surveys[J]. IEEE Journal of Selected Topics in Applied Earth Observations & Remote Sensing, 2014, 7 (3): 792- 798.
9	ABUJARAD F, NADIM G, OMAR A. Clutter reduction and detection of landmine objects in ground penetrating radar data using singular value decomposition (SVD)[C]//Proc. of the 3rd International Workshop on Advanced Ground Penetrating Radar, 2005: 37-42.
10	TIVIVE F , BOUZERDOUM A , AMIN M . A subspace projection approach for wall clutter mitigation in through-the-wall radar imaging[J]. IEEE Trans.on Geoscience and Remote Sensing, 2015, 53 (4): 2108- 2122. doi: 10.1109/TGRS.2014.2355211
11	CHEN C , HE Z H , SONG X J , et al. A subspace projection approach for clutter mitigation in holographic subsurface imaging[J]. IEEE Geoscience and Remote Sensing Letters, 2021, 19, 8013505.
12	KUTYNIOK G, LIM W. Image separation using wavelets and shearlets[C]//Proc. of the 7th International Conference on Curves and Surfaces, 2010: 416-430.
13	KUTYNIOK G. Data separation by sparse representations[EB/OL] [2021-05-10]. https://arxiv.org/abs/1102.4527v1.
14	ZHOU Y H , CHEN W C . MCA-based clutter reduction from migrated GPR data of shallowly buried point target[J]. IEEE Trans. on Geoscience and Remote Sensing, 2019, 57 (1): 432- 448. doi: 10.1109/TGRS.2018.2855728
15	CANDÈS E J , LI X , MA Y , et al. Robust principal component analysis?[J]. Journal of the ACM, 2011, 58 (1): 1- 37.
16	ZHANG Y , XIA T , et al. In-wall clutter suppression based on low-rank and sparse representation for through-the-wall radar[J]. IEEE Geoscience and Remote Sensing Letters, 2016, 13 (5): 671- 675. doi: 10.1109/LGRS.2016.2535161
17	SONG X J , XIANG D L , ZHOU K , et al. Improving RPCA-based clutter suppression in GPR detection of antipersonnel mines[J]. IEEE Geoscience and Remote Sensing Letters, 2017, 14 (8): 1338- 1342. doi: 10.1109/LGRS.2017.2711251
18	XIA Y , GAO Q W , CHENG N , et al. Denoising 3D magnitude magnetic resonance images based on weighted nuclear norm minimization[J]. Biomedical Signal Processing and Control, 2017, 34, 183- 194. doi: 10.1016/j.bspc.2017.01.016
19	ZHANG Z M , AERON S . Exact tensor completion using t-SVD[J]. IEEE Trans. on Signal Processing, 2017, 65 (6): 1511- 1526.
20	GU S H, ZHANG L, ZUO W M, et al. Weighted nuclear norm minimization with application to image denoising[C]//Proc. of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2014: 2862-2869.
21	GUO Q , ZHANG C M , ZHANG Y F , et al. An efficient SVD-based method for image denoising[J]. IEEE Trans.on Circuits and Systems for Video Technology, 2016, 26 (5): 868- 880.
22	冯栩, 李可欣, 喻文健, 等. 基于随机奇异值分解的快速矩阵补全算法及其应用[J]. 计算机辅助设计与图形学学报, 2017, 29 (12): 2343- 2348.
	FENG X , LI K X , YU W J , et al. Fast matrix completion algorithm based on randomized singular value decomposition and its applications[J]. Journal of Computer-Aided Design & Computer Graphics, 2017, 29 (12): 2343- 2348.
23	ZHOU K , LI D X , SU Y , et al. Joint design of transmit waveform and mismatch filter in the presence of interrupted sampling repeater jamming[J]. IEEE Signal Processing Letters, 2020, 27, 1610- 1614.
24	周凯, 李德鑫, 粟毅, 等. 基于雷达发射波形和非匹配滤波联合设计的间歇采样转发干扰抑制方法[J]. 电子与信息学报, 2021, 43 (7): 1939- 1946.
	ZHOU K , LI D X , SU Y , et al. Joint transmitted waveform and mismatched filter design against interrupted-sampling repeater jamming[J]. Journal of Electronics & Information Technology, 2021, 43 (7): 1939- 1946.
1	刘洋, 李静霞, 郭甜, 等. 格雷互补码雷达实现地下管线的高信杂比探测[J]. 系统工程与电子技术, 2020, 42 (5): 1050- 1056.
	LIU Y , LI J X , GUO T , et al. Golay complementary code radar for high signal-to-clutter ratio detection of underground pipeline[J]. Systems Engineering and Electronics, 2020, 42 (5): 1050- 1056.
2	马传浩, 陈剑. 地质雷达技术在泥石流灾害调查中的应用——以北京房山南安主沟泥石流为例[J]. 地质与勘探, 2019, 55 (4): 1066- 1072.
	MA C H , CHEN J . Application of geological radar technology to investigations of hazardousdebris flow: an example from Nan'an, Fangshan District, Beijing[J]. Geology and Exploration, 2019, 55 (4): 1066- 1072.
3	CATAPANO I , LUDENO G , SOLDOVIERI F , et al. Structural assessment via ground penetrating radar at the Consoli Palace of Gubbio (Italy)[J]. Remote Sensing, 2017, 10 (2): 45. doi: 10.3390/rs10010045
4	粟毅, 黄春琳, 雷文太. 探地雷达理论与应用[M]. 北京: 科学出版社, 2006: 210- 265.
	SU Y , HUANG C L , LEI W T . Theory and application of ground penetrating radar[M]. Beijing: Science Press, 2006: 210- 265.
25	许浩锋. 基于交替方向乘子法的分布式在线学习算法[D]. 合肥: 中国科学技术大学, 2015.
	XU H F. Distributed online learning algorithm based on alternating direction multiplier method[D]. Hefei: University of Science and Technology of China, 2015.
26	陈诚, 刘涛, 宋晓骥, 等. 基于稀疏信号处理的穿透成像增强算法[J]. 系统工程与电子技术, 2021, 43 (8): 2021- 2027.
	CHEN C , LIU T , SONG X J . Penetration imaging enhancement algorithm based on sparse-signal processing[J]. Systems Engineering and Electronics, 2021, 43 (8): 2021- 2027.
27	VASWANI N , BOUWMANS T , JAVED S , et al. Robust subspace learning: robust PCA, robust subspace tracking, and robust subspace recovery[J]. IEEE Signal Processing Magazine, 2018, 35 (4): 32- 55.
28	LARSEN R M. PROPACK-software for large and sparse SVD calculations[EB/OL]. [2020-09-27]. http://sun.stanford.edu/~rmunk/PROPACK.
29	GIANNAKIS I , GIANNOPOULOS A , WARREN C . A realistic FDTD numerical modeling framework of ground penetrating radar for landmine detection[J]. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2016, 9 (1): 37- 51.
30	SCOTT W R. Multistatic beamforming data[EB/OL]. [2020-11-04]. http://users.ece.gatech.edu/wrscott.
31	COUNTS T , GURBUZ A V , SCOTT W R , et al. Multistatic ground-penetrating radar experiments[J]. IEEE Trans.on Geo-science and Remote Sensing, 2007, 45 (8): 2544- 2553.

处理方法	仿真实验	实验1	实验2
未使用处理方法	11.64	-0.61	-2.22
本文方法	20.66	22.31	33.97
平均值对消法	10.32	11.43	2.80
SVD	12.30	11.58	9.74
MCA	13.82	11.69	3.99
RPCA	16.36	17.05	19.99

处理方法	仿真实验/s	实验1/s	实验2/s	计算复杂度
本文方法	0.5	0.3	0.6	O(mnrl)
MS	0.000 3	0.000 1	0.000 2	O(mn)
SVD	0.08	0.03	0.08	O(m²n)
MCA	475.7	235.6	423.5	-
RPCA	4.1	2	3.7	O(m²nr)

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GPR clutter suppression method by low rank and sparse decomposition

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