基于动态模态分解的弹道目标平动补偿与微动特征提取方法

doi:10.12305/j.issn.1001-506X.2025.02.12

Abstract

Abstract:

To address the problem of difficulty in accurately extracting micro-motion features caused by ballistic target translational motion, a ballistic target translational motion compensation and micro-motion feature extraction method based on dynamic mode decomposition (DMD) is proposed. Firstly, based on the modeling of micro-motion echoes of ballistic targets, the slow-time range profile sequence of the target is subjected to micro Doppler (m-D) feature curve separation. Secondly, the separated data vectors are shifted and stacked to construct an augmented data matrix, and DMD is performed. Then, the decomposed mode amplitudes are used to rank each mode, and the main mode is selected combined with information such as the loss function. The zero frequency mode in the main modes is utilized to achieve translational compensation of ballistic targets, and micro-motion feature information such as spin frequency and cone rotation frequency from other main modes are extracted. Finally, performance analysis and comparative experiments are conducted on the DMD-based ballistic target translational compensation and micro-motion feature extraction methods, verifying the feasibility and robustness of the proposed methods.

Key words: dynamic mode decomposition (DMD), ballistic target, micro-Doppler (m-D), translational compensation, feature extraction

CLC Number:

TN95

Kaiming LI, Xiaonan DAI, Yuanpeng ZHANG, Jiawen YAO, Ying LUO. Translational compensation and micro-motion feature extraction method of ballistic targets based on dynamic mode decomposition[J]. Systems Engineering and Electronics, 2025, 47(2): 451-462.

Figures/Tables 20

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References 31

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参数	参考值
载频/GHz	10
带宽/GHz	1
脉宽/μs	0.5
脉冲重复频率/Hz	600
初始距离R₀/m	593 160
初始速度v/(m/s)	6 050
初始加速度a/(m/s²)	0.5
初始距离估计值R′₀/m	593 159
初始速度估计值v′/(m/s)	6 049
初始欧拉角/rad	(π/3, π/4, π/5)
导弹弹长/m	2
导弹底面半径/m	0.5
自旋频率/Hz	3
锥旋频率/Hz	0.5
仿真回波时长/s	6

前i阶	占比/%
2	81.01
4	91.51
6	99.93
8	99.99

算法	运算时间
EEMD	3.27
VMD	18.05
DMD	6.57

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Translational compensation and micro-motion feature extraction method of ballistic targets based on dynamic mode decomposition

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前i阶	占比/%
2	99.99
4	100
6	100
8	100
10	100