A Novel Micro-motion Multi-target Wideband Resolution Algorithm Based on Curve Overlap Extrapolation
-
摘要: 针对传统的微多普勒特征提取技术难以解决多目标分辨和微动参数估计这一问题,该文针对进动多目标,提出一种曲线交叠外推的微动多目标宽带分辨算法。该算法以各个滤波数据点间的相对距离为准则,结合各曲线的历史斜率信息,对交叠点后的点迹进行外推估计,实现各个分量信号微动曲线的区分关联。在此基础上,通过分析各曲线的微动特性差异实现多目标分辨。仿真实验验证了所提算法的有效性和稳定性。Abstract: To solve the problem that the traditional micro-Doppler feature extraction technologies are generally hard to achieve resolution and parameter estimation of multi-target, a novel curve overlap extrapolation algorithm for wide-band resolution of micro-motion multi-target is proposed. According to the relative distance between filtering data points and the historical slope information of each curve, the point trace behind the overlapping location can be extrapolated to realize data association of micor-motion curve for each signal component. On this basis, the multi-target resolution can be realized by analyzing the difference of micor-motion characteristics between each curve. Extensive simulation experiments are provided to illustrate the effectiveness and robustnees of the proposed algorithm.
-
图 9 文献[16]区分关联结果
表 1 实验锥体目标参数
锥体高度$H\left( {\rm{m}} \right)$ 质心到锥顶距离$d\left( {\rm{m}} \right)$ 底面半径$r\left( {\rm{m}} \right)$ 自旋频率${f_{\rm s}}\left( {\rm{Hz}} \right)$ 锥旋频率${f_{\rm c}}\left( {\rm{Hz}} \right)$ 进动角$\theta \left( {^ \circ } \right)$ 目标1 1.26 0.42 0.25 3 5 10 目标2 3.50 0.82 1.64 4 6 15 表 2 雷达系统主要参数
参数 数值 载频${f_0}$ 10 GHz 带宽$B$ 1 GHz 脉冲宽度${t_{\rm{p}}}$ 10 μs 脉冲重复周期prf 100 Hz 驻留时间$T\;\;$ 1 s 雷达视线方位角$\alpha $ 90$^ \circ $ 雷达视线俯仰角$\beta $ 60$^ \circ $ 表 3 微动参数估计结果
曲线1 曲线2 曲线3 曲线4 进动频率$\left( {{\rm{Hz}}} \right)$ 5.1333 6.0971 5.9924 5.0565 -
CHEN V C, LI Fayin, HO S S, et al. Micro-Doppler effect in radar: phenomenon, model, and simulation study[J]. IEEE Transactions on Aerospace and Electronic Systems, 2006, 42(1): 2–21. doi: 10.1109/TAES.2006.1603402 张群, 胡健, 罗迎, 等. 微动目标雷达特征提取、成像与识别研究进展[J]. 雷达学报, 2018, 7(5): 531–547. doi: 10.12000/JR18049ZHANG Qun, HU Jian, LUO Ying, et al. Research progresses in radar feature extraction, imaging, and recognition of target with micro-motions[J]. Journal of Radars, 2018, 7(5): 531–547. doi: 10.12000/JR18049 SPARR T and KRANE B. Time-frequency analysis of vibrating targets in airborne SAR systems[J]. IEE Proceedings - Radar, Sonar and Navigation, 2003, 150(3): 173–176. doi: 10.1049/ip-rsn:20030447 束长勇, 张生俊, 黄沛霖, 等. 基于微多普勒的空间锥体目标微动分类[J]. 北京航空航天大学学报, 2017, 43(7): 1387–1394. doi: 10.13700/j.bh.1001-5965.2016.0500SHU Changyong, ZHANG Shengjun, HUANG Peilin, et al. Micro-motion classification of spatial cone target based on micro-Doppler[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(7): 1387–1394. doi: 10.13700/j.bh.1001-5965.2016.0500 FAN Huayu, REN Lixiang, LONG Teng, et al. A high-precision phase-derived range and velocity measurement method based on synthetic wideband pulse Doppler radar[J]. Science China Information Sciences, 2017, 60(8): 082301. doi: 10.1007/s11432-016-0097-4 周叶剑, 张磊, 菅毛, 等. 多频调频稀疏分解的微动目标参数估计方法[J]. 电子与信息学报, 2017, 39(10): 2360–2365. doi: 10.11999/JEIT170163ZHOU Yejian, ZHANG Lei, JIAN Mao, et al. Micro-motion estimation for ballistic targets with multi-frequency chirp decomposition[J]. Journal of Electronics &Information Technology, 2017, 39(10): 2360–2365. doi: 10.11999/JEIT170163 LIU Yongxiang, CHEN Hangyong, LI Xiang, et al. Radar micro-motion target resolution[C]. 2006 International Conference on Radar. Shanghai, China, 2006. doi: 10.1109/ICR.2006.343363. 罗迎, 龚逸帅, 陈怡君, 等. 基于跟踪脉冲的MIMO雷达多目标微动特征提取[J]. 雷达学报, 2018, 7(5): 575–584. doi: 10.12000/JR18035LUO Ying, GONG Yishuai, CHEN Yijun, et al. Multi-target micro-motion feature extraction based on tracking pulses in MIMO radar[J]. Journal of Radars, 2018, 7(5): 575–584. doi: 10.12000/JR18035 何其芳, 张群, 罗迎, 等. 正弦调频Fourier-Bessel变换及其在微动目标特征提取中的应用[J]. 雷达学报, 2018, 7(5): 593–601. doi: 10.12000/JR17069HE Qifang, ZHANG Qun, LUO Ying, et al. A sinusoidal frequency modulation Fourier-Bessel transform and its application to micro-Doppler feature extraction[J]. Journal of Radars, 2018, 7(5): 593–601. doi: 10.12000/JR17069 杨陈, 池龙, 张群, 等. 正弦调频傅里叶变换的自旋微动群目标分辨[J]. 空军工程大学学报: 自然科学版, 2016, 17(3): 51–56. doi: 10.3969/j.issn.1009-3516.2016.03.010YANG Chen, CHI Long, ZHANG Qun, et al. Resolution of group targets with spinning micro-motion based on sinusoidal frequency modulation Fourier transform[J]. Journal of Air Force Engineering University:Natural Science Edition, 2016, 17(3): 51–56. doi: 10.3969/j.issn.1009-3516.2016.03.010 杨陈, 池龙, 张群, 等. 基于宽带雷达距离-慢时间像的自旋微动群目标分辨[J]. 弹箭与制导学报, 2017, 37(3): 101–104. doi: 10.15892/j.cnki.djzdxb.2017.03.026YANG Chen, CHI Long, ZHANG Qun, et al. Resolution of group targets with spinning micro-motion based on the range slow-timeImage of broadband radar[J]. Journal of Projectiles,Rockets,Missiles and Guidance, 2017, 37(3): 101–104. doi: 10.15892/j.cnki.djzdxb.2017.03.026 罗迎, 柏又青, 张群, 等. 弹道目标平动补偿与微多普勒特征提取方法[J]. 电子与信息学报, 2012, 34(3): 602–608. doi: 10.3724/SP.J.1146.2011.00607LUO Ying, BAI Youqing, ZHANG Qun, et al. Translational motion compensation and micro-Doppler feature extraction of ballistic targets[J]. Journal of Electronics &Information Technology, 2012, 34(3): 602–608. doi: 10.3724/SP.J.1146.2011.00607 赵盟盟, 张群, 罗迎, 等. 点迹-曲线关联算法的旋转对称群目标分辨[J]. 空军工程大学学报: 自然科学版, 2015, 16(2): 43–48. doi: 10.3969/j.issn.1009-3516.2015.02.010ZHAO Mengmeng, ZHANG Qun, LUO Ying, et al. Distinguishing of rotationally symmetric group targets based on plot-curve association algorithm[J]. Journal of Air Force Engineering University:Natural Science Edition, 2015, 16(2): 43–48. doi: 10.3969/j.issn.1009-3516.2015.02.010 赵盟盟, 张群, 陈怡君, 等. 一种用于空间群目标分辨的滑动窗轨迹跟踪算法[J]. 宇航学报, 2015, 36(10): 1187–1194. doi: 10.3873/j.issn.1000-1328.2015.10.013ZHAO Mengmeng, ZHANG Qun, CHEN Yijun, et al. A sliding window tracking algorithm for distinguishing space group targets[J]. Journal of Astronautics, 2015, 36(10): 1187–1194. doi: 10.3873/j.issn.1000-1328.2015.10.013 李飞, 纠博, 邵长宇, 等. 目标微动参数估计的曲线跟踪算法[J]. 电波科学学报, 2013, 28(2): 278–284, 295. doi: 10.13443/j.cjors.2013.02.024LI Fei, JIU Bo, SHAO Changyu, et al. Curve tracking based parameter estimation of micro-motion[J]. Chinese Journal of Radio Science, 2013, 28(2): 278–284, 295. doi: 10.13443/j.cjors.2013.02.024 邵长宇, 杜兰, 李飞, 等. 基于多目标跟踪的空间锥体目标微多普勒频率提取方法[J]. 电子与信息学报, 2012, 34(12): 2972–2977. doi: 10.3724/SP.J.1146.2012.00656SHAO Changyu, DU Lan, LI Fei, et al. Micro-Doppler extraction from space cone target based on multiple target tracking[J]. Journal of Electronics &Information Technology, 2012, 34(12): 2972–2977. doi: 10.3724/SP.J.1146.2012.00656 刘思源. 自适应恒虚警研究与硬件设计[D]. [硕士论文], 西安电子科技大学, 2014.LIU Siyuan. Adaptive CFAR research and hardware logic design[D].[Master dissertation], Xidian University. 2014. 程禹, 吴限德, 韩华, 等. 基于卡尔曼滤波和RTS事后平滑的GNSS共视时间比对算法[J]. 哈尔滨工程大学学报, 2018, 39(5): 915–920. doi: 10.11990/jheu.201702002CHENG Yu, WU Xiande, HAN Hua, et al. GNSS common-view time comparison algorithm based on Kalman filtering and Rauch-Tung-Streibel smoothing[J]. Journal of Harbin Engineering University, 2018, 39(5): 915–920. doi: 10.11990/jheu.201702002 曹文杰. 空间锥体目标微多普勒提取与参数估计[D]. [硕士论文], 西安电子科技大学, 2014.CAO Wenjie. Micro-Doppler extraction and parameter estimation of the space cone-shaped target[D]. [Master dissertation], Xidian University, 2014.