基于单基地雷达的进动锥柱体目标三维微动参数估计

doi:10.12305/j.issn.1001-506X.2026.07.12

Abstract

Abstract:

Existing methods for three-dimensional micro-motion characteristics of space targets based on multi-base radar observations have problems such as high deployment costs and high difficulty in data processing. To address this problem, a method for three-dimensional micro-motion parameters estimation of precession cone-cylinder targets based on monostatic radar is proposed. On the basis of analyzing the micro-Doppler effect of the echo from fixed scatterers and sliding scatterers on the precession cone-cylinder, first, the micro-motion parameters such as the precession angle and the bottom radius of the target are extracted based on the fixed scatterer model. Then, the three-dimensional micro-motion parameters such as the height of the cone, the height of the cylinder, and the semi-cone angle of the cone-cylinder target are further extracted by utilizing the sliding scattering characteristics of the joint surface of cone and cylinder. The proposed method accurately extracts the micro-motion parameters and geometric information of cone-cylinder targets. Simulation experiments verify the effectiveness of the proposed method and its performance under different signal-to-noise ratios.

Key words: three-dimensional micro-motion characteristics, precession cone-cylinder, monostatic radar, micro-Doppler effect

CLC Number:

TN 958

Fulong XU, Hang YUAN, Ying LUO, Kaiming LI. Three-dimensional micro-motion parameters estimation of precession cone-cylinder targets based on monostatic radar[J]. Systems Engineering and Electronics, 2026, 48(7): 2251-2263.

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References 30

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参数	值
载频/GHz	10
质心位置/km	（300，100，600）
自旋角频率/rad	25.13
锥旋角频率/rad	6.28
r/m	0.5
H/m	1.383 1
h/m	0.386 8
$\theta $/rad	0.174 5
$\gamma $/rad	2.342 5
$\alpha $/rad	0.687 3
${{\boldsymbol{\omega }}_s''}$	（0.350，−0.494，0.796）
${{\boldsymbol{\omega }}_c''}$	（0.500, −0.500, 0.707）
尾翼矢量${\boldsymbol{R}}^{'}_{A} $	（−0.118, 0.673, −0.141）
尾翼矢量${\boldsymbol{R}}^{'}_{B} $	（0.118, −0.673, −0.141）

参数	估计值	理想值
$ \left(a_{1}, \;b_{1},\; c_1\right) $	（659.28, 31.41, 3.11）	（659.62, 31.40, 3.14）
$ \left(a_{2}, \;b_{2}, \;c_{2}\right) $	（112.44, 25.13, −1.38）	（112.15, 25.12, −1.52）
$ \left(a_{3},\; b_{3}, \;c_{3}\right) $	（22.45, 6.28, 1.35）	（22.43, 6.28, 1.35）
$ \left(a_{4}, \;b_{4},\; c_{4}\right) $	（3.02, 18.85, −2.73）	（3.02, 18.84, −2.75）

参数	估计值	理想值
${{\boldsymbol{\omega }}_s''}$	（0.329, −0.491, 0.807）	（0.350, −0.494, 0.796）
${{\boldsymbol{\omega }}_c''}$	（0.479, −0.503, 0.719）	（0.500, −0.500, 0.707）
${\boldsymbol{R'}}$	（−0.096, 0.676, −0.156）	（−0.118, 0.673, −0.141）

参数	估计值	理想值	误差/%
$\theta $/rad	0.174 0	0.174 5	0.28
$\gamma $/rad	2.344 8	2.342 5	0.09
$h'$/m	0.489 2	0.486 5	0.55
r/m	0.500 9	0.500 0	0.18
$\alpha $/rad	0.685 9	0.687 3	0.20

参数	估计值	理想值	误差/%
x/m	0.101 3	0.100 0	1.30
$\psi $/rad	0.345 0	0.346 9	0.54
H/m	1.393 6	1.383 1	0.76
h/m	0.387 9	0.386 8	0.28

Three-dimensional micro-motion parameters estimation of precession cone-cylinder targets based on monostatic radar

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[1]	Yang ZHOU, Daping BI, Aiguo SHEN. Micro-motion target detection algorithm of IRT based large dynamic reflection coefficient [J]. Systems Engineering and Electronics, 2020, 42(9): 1935-1944.
[2]	LI Jianzhou, LIU Xiangwei, FAN Chaoqun, LIU Lu, QI Yutao. Geometric modeling and scattering characteristics analysis of multi-degree-of-freedom flying targets [J]. Systems Engineering and Electronics, 2019, 41(11): 2401-2407.
[3]	WAN Xian-, SHAO Qi-hong, XIA Peng, DAN Yang-peng. Experimentation on micro-Doppler effect with passive radar based on digital terrestrial multimedia broadcasting [J]. Systems Engineering and Electronics, 2016, 38(11): 2499-2504.
[4]	SUN Hui-xia, LIU Zheng, XUE Ning. Micro-Doppler analysis of spinning-precession targets [J]. Journal of Systems Engineering and Electronics, 2009, 31(2): 357-360.

参数	估计值	理想值
$ \begin{array}{*{20}{c}} {\left( {{a_1},\;{b_1},\;{c_1}} \right)} \end{array} $	（644.49, 31.29, −2.95）	（659.62, 31.40, 3.14）
$ \left( {{a_2},\;{b_2},\;{c_2}} \right) $	（111.28, 24.95, −1.13）	（112.15, 25.12, −1.52）
$ \left( {{a_3},\;{b_3},\;{c_3}} \right) $	（14.87, 6.27, −5.11）	（22.43, 6.28, 1.35）
$ \left( {{a_4},\;{b_4},\;{c_4}} \right) $	（2.01, 6.35, −1.37）	（3.02, 18.84, −2.75）

参数	估计值	理想值
$ \begin{array}{*{20}{c}} {\left( {{a_1},\;{b_1},\;{c_1}} \right)} \end{array} $	（622.28, 31.25, −2.93）	（659.62, 31.40, 3.14）
$ \left( {{a_2},\;{b_2},\;{c_2}} \right) $	（100.02, 25.14, −1.83）	（112.15, 25.12, −1.52）
$ \left( {{a_3},\;{b_3},\;{c_3}} \right) $	（12.87, 6.14, −1.73）	（22.43, 6.28, 1.35）
$ \left( {{a_4},\;{b_4},\;{c_4}} \right) $	（1.91, 6.08, −3.13）	（3.02, 18.84, −2.75）

参数	值
载频/GHz	10
质心位置/km	（500, 500, 600）
自旋角频率/rad	25.13
锥旋角频率/rad	6.28
r/m	0.6
H/m	1.7
h/m	1
$\theta $/rad	0.199 5
$\gamma $/rad	2.498 1
$\alpha $/rad	0.729 3
${{\boldsymbol{\omega}}_s ''}$	（−0.151, −0.089, 0.984）
${{\boldsymbol{\omega }}_c''}$	（0.031, 0.171, 0.984）
尾翼矢量${\boldsymbol{R}}^{'}_A $	（−0.6, 0, −0.8）
尾翼矢量${\boldsymbol{R}}^{'}_B $	（0.6, 0, −0.8）

参数	估计值	理想值
$ \begin{array}{*{20}{c}} {\left( {{a_1},\;{b_1},\;{c_1}} \right)} \end{array} $	（886.54, 31.41, 1.08）	（829.07, 31.41, 1.22）
$ \left( {{a_2},\;{b_2},\;{c_2}} \right) $	（148.58, 24.13, 1.48）	（148.58, 25.12, 1.47）
$ \left( {{a_3},\;{b_3},\;{c_3}} \right) $	（45.94, 6.27, 2.77）	（44.26, 6.28, 2.89）
$ \left( {{a_4},\;{b_4},\;{c_4}} \right) $	（5.0595, 18.45, −1.34）	（4.98, 18.84, −1.41）