面向低轨通信卫星机会照射源的无人机集群SAR构型优化方法

周松; 杜显康; 王玉皞; 文品; 杨磊; 邢孟道

doi:10.11999/JEIT260676

面向低轨通信卫星机会照射源的无人机集群SAR构型优化方法

doi: 10.11999/JEIT260676 cstr: 32379.14.JEIT260676

周松¹,
杜显康¹,
王玉皞^1, ,,
文品¹,
杨磊²,
邢孟道³

1.
南昌大学信息工程学院南昌 330031
2.
中国民航大学电子信息与自动化学院天津 300300
3.
西安电子科技大学雷达信号处理国家重点实验室西安 710071

基金项目: 国家自然科学基金(62561040, 62271487, 62561038, 62573220)，江西省重点研发计划项目(20243BBG71030, 20244BBG73002, 20252BCE310047)

详细信息

作者简介:
周松：男，教授，研究方向为雷达成像与智能感知

杜显康：男，硕士生，研究方向为无人机集群SAR成像

王玉皞：男，教授，研究方向为雷达成像与通感一体

文品：男，教授，研究方向为雷达系统设计

杨磊：男，教授，研究方向为稀疏高分辨SAR成像

邢孟道：男，教授，研究方向为雷达成像、雷达探测

通讯作者:
王玉皞　wangyuhao@ncu.edu.cn

中图分类号: TN958
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出版历程
- 修回日期: 2026-09-15
- 录用日期: 2026-09-15
- 网络出版日期: 2026-09-18

Topology Optimization Method for UAV Swarm SAR Using Illuminators of Opportunity from LEO Communication Satellites

1.
College of Information Engineering, Nanchang University, Nanchang 330031, China
2.
College of Electronic Information and Automation, Civil Aviation University of China, Tianjin 300300, China
3.
National Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, China

Funds: The National Natural Science Foundation of China (62561040, 62271487, 62561038, 62573220), Jiangxi Provincial Key Research and Development Program Project (20243BBG71030, 20244BBG73002, 20252BCE310047)

摘要

摘要: 低轨通信卫星(LEO-COS)凭借全球覆盖与高频次重访特性，为合成孔径雷达(SAR)成像提供了丰富的可持续照射机会，在广域动态遥感领域具有巨大的应用潜力。然而，将LEO-COS的通信信号作为SAR成像的机会照射源，存在成像信噪比低和有效带宽受限等问题。因此，该文提出将LEO-COS与无人机集群深度融合的“星座-机群”SAR协同成像新体制，并针对该体制下的无人机集群SAR构型优化，提出了一种基于关联结构体编码的非支配排序遗传算法(AS-NSGA-II)。首先，针对“星座-机群”体制下无人机集群SAR波数谱几何分布受机群空间构型约束的特性，分析了成像性能与空间构型之间的内在联系，并将空间构型设计问题建模为多目标优化问题。其次，设计了一种结合Cubic混沌映射初始化种群与关联结构体编码的自适应动态调整机制，该机制在提高初始种群多样性的同时，有效保持了变量间的协同约束关系，并显著提升了无人机集群SAR构型的全局优化性能。仿真实验验证了该文所提算法的有效性。
- 合成孔径雷达 /
- 低轨通信卫星 /
- 无人机集群 /
- 多目标优化 /
- 遗传算法
Abstract: Objective Low Earth Orbit Communication Satellite Constellations (LEO-COS) provide globally distributed, continuously available communication signals, which offer a promising opportunity for passive Synthetic Aperture Radar (SAR) imaging. However, when LEO-COS signals are used as opportunistic illuminators, the limited effective bandwidth and relatively low Signal-to-Noise Ratio (SNR) restrict the imaging capability of conventional single-receiver SAR systems. To overcome these limitations, this paper proposes a novel “constellation–swarm” cooperative SAR imaging mode that integrates LEO-COS illuminators with an Unmanned Aerial Vehicle (UAV) swarm. In this mode, multiple UAV receivers cooperatively collect echo signals, enabling spectrum extension and coherent energy accumulation. Since the spatial configuration of the UAV swarm directly determines the wavenumber spectrum distribution and ultimately affects SAR imaging quality, it is necessary to optimize the UAV swarm configuration under dynamic and heterogeneous bistatic observation geometries. This study aims to establish a configuration optimization method for UAV swarm SAR using LEO-COS opportunistic illumination, thereby improving spectrum utilization, imaging resolution, and robustness in complex observation scenarios. Methods The relationship between UAV swarm spatial configuration and SAR imaging performance is first analyzed from the perspective of wavenumber spectrum geometry. Based on the echo model of the “constellation–swarm” SAR system, the influence of UAV positions and motion parameters on spectrum distribution is derived. The configuration design problem is then formulated as a multi-objective optimization problem by considering spectrum orthogonality, spectrum parallelism, spectrum misalignment suppression, and minimum imaging SNR. To solve this high-dimensional and strongly coupled optimization problem, an Associated-Structure-Encoding Nondominated Sorting Genetic Algorithm II (AS-NSGA-II) is proposed. In the proposed algorithm, the associated structure encoding mechanism is used to preserve the geometric coupling relationship among configuration variables during crossover and mutation. Layered Cubic chaotic mapping is introduced to initialize the population, which improves the uniformity and diversity of candidate solutions in the search space. In addition, an adaptive mutation strategy is designed to dynamically adjust the mutation probability during evolution, so that the algorithm can balance global exploration and local exploitation while maintaining configuration feasibility. Results and Discussions Simulation results show that the optimized UAV swarm configurations can effectively rearrange the wavenumber spectrum support areas of different receiving nodes, reduce spectrum overlap and misalignment, and improve spectrum stitching quality(Fig. 5). In comparison with conventional Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) methods, the proposed AS-NSGA-II algorithm shows faster and more stable convergence. The convergence curves of the four objective functions demonstrate that AS-NSGA-II reaches a stable optimization state after approximately 60 generations, while GA and PSO exhibit slower convergence and larger fluctuations(Fig. 6). Area target imaging results further show that the proposed method suppresses false grating lobes more effectively and preserves the target edge and structural features more clearly(Fig. 7). Under low-SNR conditions, the optimized configuration maintains reliable imaging quality through multi-aperture coherent integration, demonstrating better robustness than the comparison methods. Conclusions This paper investigates the UAV swarm configuration optimization problem for “constellation–swarm” cooperative SAR imaging using LEO-COS signals as opportunistic illuminators. By analyzing the coupling relationship between spatial configuration and wavenumber spectrum distribution, a multi-objective optimization model is established to jointly consider geometric spectrum constraints and imaging SNR. The proposed AS-NSGA-II algorithm improves the optimization process by incorporating associated structure encoding, Layered Cubic chaotic initialization, and adaptive mutation. Simulation results demonstrate that the proposed method outperforms conventional GA and PSO methods in convergence speed, optimization stability, spectrum stitching performance, and imaging quality. The optimized UAV swarm configuration can effectively compensate for the bandwidth and SNR limitations of LEO-COS opportunistic illumination and enhance the resolution and robustness of cooperative SAR imaging. This work provides a feasible technical approach for future wide-area, high-resolution, and robust SAR imaging based on integrated satellite–UAV swarm systems.
- Synthetic Aperture Radar (SAR) /
- Low Earth Orbit communication satellites (LEO-COS) /
- UAV swarm /
- Multi-objective optimization /
- Genetic algorithm

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图 1 “星座-机群”SAR协同成像模型

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图 2 波数谱分布情况

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图 3 关联结构体交叉变异示意图

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图 4 基于关联结构体编码的NSGA-II算法流程图

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图 5 构型设计成像结果、方位向剖面图及波数谱

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图 6 不同优化算法的目标函数收敛过程

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图 7 不同优化算法的面目标仿真成像结果

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表 1 典型“星座-机群”SAR系统参数表

系统参数		算法参数
载频	9.6 GHz	迭代次数	200
带宽	250 MHz	种群大小	30
脉冲重复率	7000 Hz	交叉率	0.8
卫星高度	330 km	变异率	0.2
卫星速度	(3000, 0, 0) m/s	留存率	0.1
接收端参考斜距	600 m	波数谱间隙因子	1.129
无人机高度	300 m	优化目标约束
无人机速度	(10, 0, 0) m/s	$ (\Delta x,\Delta y,\Delta z) $	[–300, 300] m
场景大小	150 m×150 m	$ (\Delta {\theta }_{\boldsymbol{v}R2},\Delta {\theta }_{\boldsymbol{v}T}) $	[–10, 10]°
距离向采样点数	4096	$ \Delta {\theta }_{TR1} $	[–90, 90]°

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表 2 构型优化结果

序号	$ (\Delta x,\Delta y,\Delta z) $(m)	$ (\Delta {\theta }_{\boldsymbol{v}R2},\Delta {\theta }_{\boldsymbol{v}T},\Delta {\theta }_{TR1}) $(°)	$ [\theta (\boldsymbol{g}),\eta (\boldsymbol{g}),\zeta (\boldsymbol{g})] $
1	(–61.1, –3.4, –2.3)	(–3.45, 6.47, –17.40)	(0.311, 0.024, 0.207)
2	(–56.4, –2.7, –3.4)	(–2.41, 6.39, –17.84)	(0.313, 0.018, 0.137)
3	(–55.6, –2.2, –4.7)	(–3.28, 5.98, –17.32)	(0.314, 0.020, 0.130)

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表 3 副瓣延伸方向PSLR、ISLR以及主瓣-3 dB宽度

序号	方向	PSLR (dB)	ISLR (dB)	主瓣–3 dB宽度(m)
1	$ {\vartheta }_{1} $	–11.04	–8.75	1.49
1	$ {\vartheta }_{2} $	–13.42	–10.71	0.91
2	$ {\vartheta }_{1} $	–12.30	–9.80	1.44
2	$ {\vartheta }_{2} $	–13.33	–10.71	0.93
3	$ {\vartheta }_{1} $	–13.35	–10.84	1.76
3	$ {\vartheta }_{2} $	–13.32	–10.82	1.18

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