Volume 11 Issue 4
Aug.  2022
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FAN Wen, YU Baoguo, CHEN Jing, et al. Joint waveform optimization and antenna position selection for MIMO radar beam scanning[J]. Journal of Radars, 2022, 11(4): 530–542. doi: 10.12000/JR22135
Citation: FAN Wen, YU Baoguo, CHEN Jing, et al. Joint waveform optimization and antenna position selection for MIMO radar beam scanning[J]. Journal of Radars, 2022, 11(4): 530–542. doi: 10.12000/JR22135
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Joint Waveform Optimization and Antenna Position Selection for MIMO Radar Beam Scanning

DOI: 10.12000/JR22135
  • 1.

    The 54th Research Institute of CETC, Shijiazhuang 050081, China

  • 2.

    State Key Laboratory of Satellite Navigation System and Equipment Technology, Shijiazhuang 050081, China

  • 3.

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

Funds:  The National Key Research and Development Program (2021YFB3900801)
More Information
  • Corresponding author: FAN Wen, fanwen@mail.nwpu.edu.cn
  • Received Date: 2022-07-06
  • Rev Recd Date: 2022-08-12
    • Available Online: 2022-08-15
  • Publish Date: 2022-08-25
    Abstract
  • In this study, under the Peak-to-Average Power Ratio (PAPR), energy, and binary (for antenna position selection) constraints, we proposed an antenna position selection and beam scanning method for colocated Multiple-Input Multiple-Output (MIMO) radar system using the min-max beampattern amplitude matching criterion. In our design, antenna positions and a set of probing waveforms were jointly determined to match a set of beampattern masks, and hence realize the beam scan. The resultant problem was large-scale, nonconvex, nonsmooth, and typical nondeterministic hard, because of the PAPR and nonconvex binary constraints, and the max and modulus operations in the objective function. To address these issues, we first transformed the min-max problem into the Iterative weighted Least Squares (ILS) problem using the Lawson algorithm, replaced the nonsmooth nonconvex objective function with the convex majorization function, and finally applied the alternating direction method of multipliers to solve the majorized ILS problem. Finally, several numerical examples were given to show the effectiveness of the proposed algorithms.

     

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    • References(53)
  • [1]
    LI Jian and STOICA P. MIMO radar with colocated antennas[J]. IEEE Signal Processing Magazine, 2007, 24(5): 106–114. doi: 10.1109/MSP.2007.904812
    [2]
    BLUNT S D and MOKOLE E L. Overview of radar waveform diversity[J]. IEEE Aerospace and Electronic Systems Magazine, 2016, 31(11): 2–42. doi: 10.1109/MAES.2016.160071
    [3]
    FAN Wen, LIANG Junli, and LI Jian. Constant modulus MIMO radar waveform design with minimum peak sidelobe transmit beampattern[J]. IEEE Transactions on Signal Processing, 2018, 66(16): 4207–4222. doi: 10.1109/TSP.2018.2847636
    [4]
    STOICA P, LI Jian, and XIE Yao. On probing signal design for MIMO radar[J]. IEEE Transactions on Signal Processing, 2007, 55(8): 4151–4161. doi: 10.1109/TSP.2007.894398
    [5]
    ALDAYEI O, MONGA V, and RANGASWAMY M. Tractable transmit MIMO beampattern design under a constant modulus constraint[J]. IEEE Transactions on Signal Processing, 2017, 65(10): 2588–2599. doi: 10.1109/TSP.2017.2664040
    [6]
    黎薇萍, 陈伟超, 梁家乐. 天基TDM-MIMO雷达系统抗干扰波形设计方法[J]. 无线电工程, 2022, 52(3): 429–435. doi: 10.3969/j.issn.1003-3106.2022.03.012

    LI Weiping, CHEN Weichao, and LIANG Jiale. An anti-jamming waveform design method for space-based TDM-MIMO radar system[J]. Radio Engineering, 2022, 52(3): 429–435. doi: 10.3969/j.issn.1003-3106.2022.03.012
    [7]
    杨力萍, 廖可非, 欧阳缮. 分布式MIMO雷达时间与阵面资源自适应调度算法[J]. 无线电工程, 2022, 52(7): 1136–1144. doi: 10.3969/j.issn.1003-3106.2022.07.005

    YANG Liping, LIAO Kefei, and OUYANG Shan. Adaptive scheduling algorithm for time and array resources of distributed MIMO radar[J]. Radio Engineering, 2022, 52(7): 1136–1144. doi: 10.3969/j.issn.1003-3106.2022.07.005
    [8]
    LIU Yanhui, LIU Qinghuo, and NIE Zaiping. Reducing the number of elements in multiple-pattern linear arrays by the extended matrix pencil methods[J]. IEEE Transactions on Antennas and Propagation, 2014, 62(2): 652–660. doi: 10.1109/TAP.2013.2292529
    [9]
    VESCOVO R. Reconfigurability and beam scanning with phase-only control for antenna arrays[J]. IEEE Transactions on Antennas and Propagation, 2008, 56(6): 1555–1565. doi: 10.1109/TAP.2008.923297
    [10]
    ZHANG Xuan, LIANG Junli, FAN Xuhui, et al. Reconfigurable array beampattern synthesis via conceptual sensor network modeling and computation[J]. IEEE Transactions on Antennas and Propagation, 2020, 68(6): 4512–4525. doi: 10.1109/TAP.2020.2972401
    [11]
    FUHRMANN D R and ANTONIO G S. Transmit beamforming for MIMO radar systems using signal cross-correlation[J]. IEEE Transactions on Aerospace and Electronic Systems, 2008, 44(1): 171–186. doi: 10.1109/TAES.2008.4516997
    [12]
    HE Hao, STOICA P, and LI Jian. Wideband MIMO systems: Signal design for transmit beampattern synthesis[J]. IEEE Transactions on Signal Processing, 2011, 59(2): 618–628. doi: 10.1109/TSP.2010.2091410
    [13]
    FAN Wen, LIANG Junli, YU Guoyang, et al. MIMO radar waveform design for quasi-equiripple transmit beampattern synthesis via weighted l p-minimization[J]. IEEE Transactions on Signal Processing, 2019, 67(13): 3397–3411. doi: 10.1109/TSP.2019.2917871
    [14]
    ROBERTS W, XU Luzhou, LI Jian, et al. Sparse antenna array design for MIMO active sensing applications[J]. IEEE Transactions on Antennas and Propagation, 2011, 59(3): 846–858. doi: 10.1109/TAP.2010.2103550
    [15]
    CHENG Ziyang, LU Yanxi, HE Zishu, et al. Joint optimization of covariance matrix and antenna position for MIMO radar transmit beampattern matching design[C]. 2018 IEEE Radar Conference (RadarConf18), Oklahoma City, USA, 2018: 1073–1077.
    [16]
    崔国龙, 余显祥, 杨婧, 等. 认知雷达波形优化设计方法综述[J]. 雷达学报, 2019, 8(5): 537–557. doi: 10.12000/JR19072

    CUI Guolong, YU Xianxiang, YANG Jing, et al. An overview of waveform optimization methods for cognitive radar[J]. Journal of Radars, 2019, 8(5): 537–557. doi: 10.12000/JR19072
    [17]
    LIPOR J, AHMED S, and ALOUINI M S. Fourier-based transmit beampattern design using MIMO radar[J]. IEEE Transactions on Signal Processing, 2014, 62(9): 2226–2235. doi: 10.1109/TSP.2014.2307838
    [18]
    STOICA P, LI Jian, and ZHU Xumin. Waveform synthesis for diversity-based transmit beampattern design[J]. IEEE Transactions on Signal Processing, 2008, 56(6): 2593–2598. doi: 10.1109/TSP.2007.916139
    [19]
    AHMED S and ALOUINI M. A survey of correlated waveform design for multifunction software radar[J]. IEEE Aerospace and Electronic Systems Magazine, 2016, 31(3): 19–31. doi: 10.1109/MAES.2016.150051
    [20]
    HUA G and ABEYSEKERA S S. MIMO radar transmit beampattern design with ripple and transition band control[J]. IEEE Transactions on Signal Processing, 2013, 61(11): 2963–2974. doi: 10.1109/TSP.2013.2252173
    [21]
    何子述, 韩春林, 刘波. MIMO雷达概念及其技术特点分析[J]. 电子学报, 2005, 33(12A): 2441–2445.

    HE Zishu, HAN Chunlin, and LIU Bo. MIMO radar and its technical characteristic analyses[J]. Acta Electronica Sinica, 2005, 33(12A): 2441–2445.
    [22]
    IMANI S, NAYEBI M M, and ALI GHORASHI S. Transmit signal design in colocated MIMO radar without covariance matrix optimization[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(5): 2178–2186. doi: 10.1109/TAES.2017.2686618
    [23]
    CHENG Ziyang, HE Zishu, ZHANG Shengmiao, et al. Constant modulus waveform design for MIMO radar transmit beampattern[J]. IEEE Transactions on Signal Processing, 2017, 65(18): 4912–4923. doi: 10.1109/TSP.2017.2718976
    [24]
    YU Xianxiang, CUI Guolong, YANG Jing, et al. Wideband MIMO radar waveform design[J]. IEEE Transactions on Signal Processing, 2019, 67(13): 3487–3501. doi: 10.1109/TSP.2019.2916732
    [25]
    CHENG Ziyang, HAN Chunlin, LIAO Bin, et al. Communication-aware waveform design for MIMO radar with good transmit beampattern[J]. IEEE Transactions on Signal Processing, 2018, 66(21): 5549–5562. doi: 10.1109/TSP.2018.2868042
    [26]
    ALHUJAILI K, MONGA V, and RANGASWAMY M. Transmit MIMO radar beampattern design via optimization on the complex circle manifold[J]. IEEE Transactions on Signal Processing, 2019, 67(13): 3561–3575. doi: 10.1109/TSP.2019.2914884
    [27]
    王璐璐, 王宏强, 王满喜, 等. 雷达目标检测的最优波形设计综述[J]. 雷达学报, 2016, 5(5): 487–498. doi: 10.12000/JR16084

    WANG Lulu, WANG Hongqiang, WANG Manxi, et al. An overview of radar waveform optimization for target detection[J]. Journal of Radars, 2016, 5(5): 487–498. doi: 10.12000/JR16084
    [28]
    何子述, 李军, 刘红明, 等. MIMO雷达[M]. 北京: 国防工业出版社, 2017.

    HE Zishu, LI Jun, LIU Hongming, et al. MIMO Radar[M]. Beijing: National Defense Industry Press, 2017.
    [29]
    DENG Minglong, CHENG Ziyang, and HE Zishu. Co-Design of Waveform correlation matrix and antenna positions for MIMO radar transmit beampattern formation[J]. IEEE Sensors Journal, 2020, 20(13): 7326–7336. doi: 10.1109/JSEN.2020.2977686
    [30]
    ROCCA P, OLIVERI G, MAILLOUX R J, et al. Unconventional phased array architectures and design methodologies—A review[J]. Proceedings of the IEEE, 2016, 104(3): 544–560. doi: 10.1109/JPROC.2015.2512389
    [31]
    LIU Yanhui, CHENG Juan, XU Kaida, et al. Reducing the number of elements in the synthesis of a broadband linear array with multiple simultaneous frequency-invariant beam patterns[J]. IEEE Transactions on Antennas and Propagation, 2018, 66(11): 5838–5848. doi: 10.1109/TAP.2018.2862361
    [32]
    SHEN Haiou and WANG Buhong. An effective method for synthesizing multiple-pattern linear arrays with a reduced number of antenna elements[J]. IEEE Transactions on Antennas and Propagation, 2017, 65(5): 2358–2366. doi: 10.1109/TAP.2017.2679344
    [33]
    HE Hao, LI Jian, and STOICA P. Waveform Design for Active Sensing Systems: A Computational Approach[M]. Cambridge: Cambridge University Press, 2012.
    [34]
    CUI Guolong, YU Xianxiang, YANG Ya, et al. Cognitive phase-only sequence design with desired correlation and stopband properties[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(6): 2924–2935. doi: 10.1109/TAES.2017.2721238
    [35]
    FAN Wen, LIANG Junli, CHEN Zihao, et al. Spectrally compatible aperiodic sequence set design with low cross and auto-correlation PSL[J]. Signal Processing, 2021, 183: 107960. doi: 10.1016/j.sigpro.2020.107960
    [36]
    FAN Wen, LIANG Junli, YU Guoyang, et al. Minimum local peak sidelobe level waveform design with correlation and/or spectral constraints[J]. Signal Processing, 2020, 171: 107450. doi: 10.1016/j.sigpro.2019.107450
    [37]
    FAN Wen, LIANG Junli, SO H C, et al. Min-max metric for spectrally compatible waveform design via log-exponential smoothing[J]. IEEE Transactions on Signal Processing, 2020, 68: 1075–1090. doi: 10.1109/TSP.2020.2969043
    [38]
    AUBRY A, MAIO A D, and HUANG Yongwei. MIMO radar beampattern design via PSL/ISL optimization[J]. IEEE Transactions on Signal Processing, 2016, 64(15): 3955–3967. doi: 10.1109/TSP.2016.2543207
    [39]
    TSENG C Y and GRIFFITHS L J. A simple algorithm to achieve desired patterns for arbitrary arrays[J]. IEEE Transactions on Signal Processing, 1992, 40(11): 2737–2746. doi: 10.1109/78.165660
    [40]
    LORENZ R G and BOYD S P. Robust minimum variance beamforming[J]. IEEE Transactions on Signal Processing, 2005, 53(5): 1684–1696. doi: 10.1109/TSP.2005.845436
    [41]
    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
    [42]
    LAWSON C. Contributions to the theory of linear least maximum approximation[D]. [Ph. D. dissertation], University of California, 1961.
    [43]
    RICE J and USOW K. The Lawson algorithm and extensions[J]. Mathematics of Computation, 1968, 22(101): 118–127. doi: 10.1090/S0025-5718-1968-0232137-4
    [44]
    ELLACITT 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
    [45]
    WANG Yu, YIN Wotao, and ZENG Jinshan. Global convergence of ADMM in nonconvex nonsmooth optimization[J]. Journal of Scientific Computing, 2019, 78(1): 29–63. doi: 10.1007/s10915-018-0757-z
    [46]
    HONG Mingyi, LUO Zhiquan, and RAZAVIYAYN M. Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems[J]. SIAM Journal on Optimization, 2016, 26(1): 337–364. doi: 10.1137/140990309
    [47]
    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
    [48]
    FAN Wen, LIANG Junli, FAN Xuhui, et al. A unified sparse array design framework for beampattern Synthesis[J]. Signal Processing, 2021, 182: 107930. doi: 10.1016/j.sigpro.2020.107930
    [49]
    SUN Ying, BABU P, and PALOMAR D P. Majorization-minimization algorithms in signal processing, communications, and machine learning[J]. IEEE Transactions on Signal Processing, 2017, 65(3): 794–816. doi: 10.1109/TSP.2016.2601299
    [50]
    RAZAVIYAYN M, HONG Mingyi, and LUO Zhiquan. A unified convergence analysis of block successive minimization methods for nonsmooth optimization[J]. SIAM Journal on Optimization, 2013, 23(2): 1126–1153. doi: 10.1137/120891009
    [51]
    HONG Mingyi, RAZAVIYAYN M, LUO Zhiquan, et al. A unified algorithmic framework for block-structured optimization involving big data: With applications in machine learning and signal processing[J]. IEEE Signal Processing Magazine, 2016, 33(1): 57–77. doi: 10.1109/MSP.2015.2481563
    [52]
    FAN Wen, LIANG Junli, LU Guangshan, et al. Spectrally-agile waveform design for wideband MIMO radar transmit beampattern synthesis via majorization-ADMM[J]. IEEE Transactions on Signal Processing, 2021, 69: 1563–1578. doi: 10.1109/TSP.2021.3052997
    [53]
    TROPP J A, DHILLON I S, HEATH R W, et al. Designing structured tight frames via an alternating projection method[J]. IEEE Transactions on Information Theory, 2005, 51(1): 188–209. doi: 10.1109/TIT.2004.839492
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