Volume 11 Issue 4
Aug.  2022
Turn off MathJax
Article Contents
Article Navigation >  Journal of Radars  > 2022  >  11(4): 517-529
LIANG Junli, TU Yu, MA Yunhong, et al. Task-driven flexible array beampattern synthesis for self-organized drone swarm[J]. Journal of Radars, 2022, 11(4): 517–529. doi: 10.12000/JR22130
Citation: LIANG Junli, TU Yu, MA Yunhong, et al. Task-driven flexible array beampattern synthesis for self-organized drone swarm[J]. Journal of Radars, 2022, 11(4): 517–529. doi: 10.12000/JR22130
shu

Task-driven Flexible Array Beampattern Synthesis for Self-organized Drone Swarm

DOI: 10.12000/JR22130
  • 1.

    School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, China

  • 2.

    Yangzhou Collaborative Innovation Research Institute Co., Ltd., Institute of Shenyang Aircraft Design and Research, Yangzhou 225000, China

  • 3.

    Key Laboratory of Complex Aviation Simulation System, Beijing 100076, China

Funds:  The National Nature Science Foundation of China (62271403), Key Research and Development Program of Shaanxi (2021SF-166)
More Information
  • Corresponding author: LIANG Junli, liangjunli@nwpu.edu.cn
  • Received Date: 2022-07-01
  • Accepted Date: 2022-08-12
  • Rev Recd Date: 2022-08-12
    • Available Online: 2022-08-15
  • Publish Date: 2022-08-23
    Abstract
  • This paper proposes a novel task-driven flexible array beampattern synthesis model for self-organized drone swarms according to their task requirements so that they can adjust their positions appropriately and point in a specific direction. First, we formulate the novel beampattern synthesis model using the drone-swarm antenna position and weight vector as the optimization variables and the maximum driving distance as the constraint. Then, the Lawson criterion is used to simplify the objective function, and the two kinds of optimization variables of antenna position and weight vector are reduced to a single kind of variable optimization problem of antenna position, alleviating the optimization difficulty caused by the usage of coupled variables. Simultaneously, auxiliary variables are introduced to separate the constraints from the complex objective function, and the Alternating Direction Method of Multipliers (ADMM）is used to slove the problem, which reduces the difficulty of solving a highly nonlinear optimization problem with constraints,. In addition, we extend this method to a scenario in which the provided Direction Of Arrival (DOA）of interest is imprecise. Simulation results show that the proposed method can obtain lower sidelobe levels than previous methods.

     

    • FullText(HTML)
  • loading
    • References(33)
  • [1]
    董宇, 高敏, 张悦, 等. 美军蜂群无人机研究进展及发展趋势[J]. 飞航导弹, 2020(9): 37–42. doi: 10.16338/j.issn.1009-1319.20200158

    DONG Yu, GAO Min, ZHANG Yue, et al. Research progress and development trend of American drone swarm[J]. Aerodynamic Missile Journal, 2020(9): 37–42. doi: 10.16338/j.issn.1009-1319.20200158
    [2]
    ABBASI Q H, REHMAN M U, YANG Xiaodong, et al. Ultrawideband band-notched flexible antenna for wearable applications[J]. IEEE Antennas and Wireless Propagation Letters, 2013, 12: 1606–1609. doi: 10.1109/LAWP.2013.2294214
    [3]
    ASILI M, CHEN Pu, HOOD A Z, et al. Flexible microwave antenna applicator for chemo-thermotherapy of the breast[J]. IEEE Antennas and Wireless Propagation Letters, 2015, 14: 1778–1781. doi: 10.1109/LAWP.2015.2423655
    [4]
    SAEED S M, BALANIS C A, BIRTCHER C R, et al. Wearable flexible reconfigurable antenna integrated with artificial magnetic conductor[J]. IEEE Antennas and Wireless Propagation Letters, 2017, 16: 2396–2399. doi: 10.1109/LAWP.2017.2720558
    [5]
    MOGHADAS H, ZANDVAKILI M, SAMEOTO D, et al. Beam-reconfigurable aperture antenna by stretching or reshaping of a flexible surface[J]. IEEE Antennas and Wireless Propagation Letters, 2017, 16: 1337–1340. doi: 10.1109/LAWP.2016.2633964
    [6]
    LIANG Junli, ZHANG Xuan, SO H C, et al. Sparse array beampattern synthesis via alternating direction method of multipliers[J]. IEEE Transactions on Antennas and Propagation, 2018, 66(5): 2333–2345. doi: 10.1109/TAP.2018.2811778
    [7]
    NAI S E, SER W, YU Zhuliang, et al. Beampattern synthesis for linear and planar arrays with antenna selection by convex optimization[J]. IEEE Transactions on Antennas and Propagation, 2010, 58(12): 3923–3930. doi: 10.1109/TAP.2010.2078446
    [8]
    LIU Foxiang, LIU Yanhui, XU Kaida, et al. Synthesizing uniform amplitude sparse dipole arrays with shaped patterns by joint optimization of element positions, rotations and phases[J]. IEEE Transactions on Antennas and Propagation, 2019, 67(9): 6017–6028. doi: 10.1109/TAP.2019.2920238
    [9]
    BUCCI O M, D'ELIA G, MAZZARELLA G, et al. Antenna pattern synthesis: A new general approach[J]. Proceedings of the IEEE, 1994, 82(3): 358–371. doi: 10.1109/5.272140
    [10]
    EROKHIN A A. Frequency-invariant beam pattern nulling based on weighted pattern summation[J]. Technical Physics Letters, 2021, 47(4): 333–335. doi: 10.1134/S1063785021040064
    [11]
    PENG Weilai, GU Tianyuan, ZHUANG Yangjingzhi, et al. Pattern synthesis with minimum mainlobe width via sparse optimization[J]. Digital Signal Processing, 2022, 128: 103632. doi: 10.1016/j.dsp.2022.103632
    [12]
    AI Xiaoyu and GAN Lu. Precise array response control for beampattern synthesis with minimum pattern distortion[J]. Signal Processing, 2022, 192: 108395. doi: 10.1016/J.SIGPRO.2021.108395
    [13]
    LIU Yanhui, BAI Jingjing, ZHENG Jinxiang, et al. Efficient shaped pattern synthesis for time modulated antenna arrays including mutual coupling by differential evolution integrated with FFT via least-square active element pattern expansion[J]. IEEE Transactions on Antennas and Propagation, 2021, 69(7): 4223–4228. doi: 10.1109/TAP.2020.3045513
    [14]
    GAO Renjing, TANG Yi, WANG Qi, et al. Pattern synthesis considering mutual coupling for peak sidelobe suppression and null controlling via element rotation and phase optimization[J]. Engineering Optimization, 2022, 54(1): 101–112. doi: 10.1080/0305215X.2020.1853716
    [15]
    BOYD S and VANDENBERGHE L. Convex Optimization[M]. Cambridge: Cambridge University Press, 2004.
    [16]
    BERTSEKAS D P. Constrained Optimization and Lagrange Multiplier Methods[M]. New York: Academic Press, 1982.
    [17]
    LAWSON C L. Contributions to the theory of linear least maximum approximation[D]. [Ph. D. dissertation], University of California, 1961.
    [18]
    RICE J R and USOW K H. The Lawson algorithm and extensions[J]. Mathematics of Computation, 1968, 22(101): 118–127. doi: 10.2307/2004769
    [19]
    ELLACOTT S and WILLIAMS J. Linear Chebyshev approximation in the complex plane using Lawson’s algorithm[J]. Mathematics of Computation, 1976, 30(133): 35–44. doi: 10.2307/2005427
    [20]
    BOYD S, PARIKH N, CHU E, et al. Distributed optimization and statistical learning via the alternating direction method of multipliers[J]. Foundations and Trends ® in Machine Learning, 2011, 3(1): 1–122. doi: 10.1561/2200000016
    [21]
    GABAY D. Chapter IX applications of the method of multipliers to variational inequalities[J]. Studies in Mathematics and its Applications, 1983, 15: 299–331. doi: 10.1016/S0168-2024(08)70034-1
    [22]
    ECKSTEIN J and BERTSEKAS D P. On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators[J]. Mathematical Programming, 1992, 55(1): 293–318. doi: 10.1007/BF01581204
    [23]
    HONG Mingyi, LUO Zhiquan, and RAZAVIYAYN M. Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems[C]. 2015 IEEE International Conference on Acoustics, Speech and Signal Processing, Brisbane, South Brisbane, Australia, 2015: 3836–3840.
    [24]
    XU Jingwei, LIAO Guisheng, ZHU Shengqi, et al. Response vector constrained robust LCMV beamforming based on semidefinite programming[J]. IEEE Transactions on Signal Processing, 2015, 63(21): 5720–5732. doi: 10.1109/TSP.2015.2460221
    [25]
    LIANG Junli, SO H C, LI Jian, et al. Unimodular sequence design based on alternating direction method of multipliers[J]. IEEE Transactions on Signal Processing, 2016, 64(20): 5367–5381. doi: 10.1109/TSP.2016.2597123
    [26]
    LIANG Junli, SO H C, LI Jian, et al. On optimizations with magnitude constraints on frequency or angular responses[J]. Signal Processing, 2018, 145: 214–224. doi: 10.1016/j.sigpro.2017.12.009
    [27]
    YU Zhuliang, ER M H, and SER W. A novel adaptive beamformer based on semidefinite programming (SDP) with magnitude response constraints[J]. IEEE Transactions on Antennas and Propagation, 2008, 56(5): 1297–1307. doi: 10.1109/TAP.2008.922644
    [28]
    YU Zhuliang, SER W, M ER M H, et al. Robust adaptive beamformers based on worst-case optimization and constraints on magnitude response[J]. IEEE Transactions on Signal Processing, 2009, 57(7): 2615–2628. doi: 10.1109/TSP.2009.2017004
    [29]
    CHEN Zihao, LIANG Junli, WANG Tao, et al. Generalized MBI algorithm for designing sequence set and mismatched filter bank with ambiguity function constraints[J]. IEEE Transactions on Signal Processing, 2022, 70: 2918–2933. doi: 10.1109/TSP.2022.3181346
    [30]
    ZHOU Xin, WEN Xiangyong, WANG Zhepei, et al. Swarm of micro flying robots in the wild[J]. Science Robotics, 2022, 7(66): eabm5954. doi: 10.1126/scirobotics.abm5954
    [31]
    杨朝麟. 非均匀稀疏阵的阵列校准与稳健DOA估计算法研究[D]. [硕士论文], 电子科技大学, 2021.

    YANG Chaolin. Research on array calibration and robust estimation algorithm for non-uniform sparse array[D]. [Master dissertation], University of Electronic Science and Technology of China, 2021.
    [32]
    刘源, 纠博, 刘宏伟, 等. 基于杂波的收发分置MIMO雷达阵列位置误差联合校正方法[J]. 电子与信息学报, 2015, 37(12): 2956–2963. doi: 10.11999/JEIT150347

    LIU Yuan, JIU Bo, LIU Hongwei, et al. Joint transmit and receive array position error calibration for bistatic MIMO radar based on clutter[J]. Journal of Electronics &Information Technology, 2015, 37(12): 2956–2963. doi: 10.11999/JEIT150347
    [33]
    曹渊, 刘威, 崔东华. 适用于任意阵列的鲁棒波束形成算法[J]. 北京理工大学学报, 2019, 39(12): 1263–1267, 1297. doi: 10.15918/j.tbit1001-0645.2019.144

    CAO Yuan, LIU Wei, and CUI Donghua. A robust beamforming algorithm for arbitrary array[J]. Transactions of Beijing Institute of Technology, 2019, 39(12): 1263–1267, 1297. doi: 10.15918/j.tbit1001-0645.2019.144
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML
    Article views(1120) PDF downloads(209) Cited by()
    Proportional views
    Related

    京ICP备20021838号-8   Supported by: Beijing Renhe Information Technology Co. Ltd     百度统计

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return