Abstract：A novel low sidelobe method is proposed through the improvement of the classical method of MIMO radar transmit waveform design. Firstly, two parameters, involving the lower boundary and the upper boundary of the mainlobe of the transmitted waveform, are introduced. While the value of the lower boundary is given. Secondly, a semidefinite programing optimization problem is established, whose objective function is minimization of peak-sidelobe or integrated-sideloble. The transmit waveform covariance is semi-positive and the signal power of each array element is fixed. Further, the restriction on the mainlobe fluctuation is added to the constraint of the optimization problem. What’s more, if the upper boundary is changed, the mainlobe fluctuation and sidelobe will be changed simultaneously. Finally, only once convex optimization algorithm is used to obtain the global optimal solution. The simulation results show that the proposed method has the advantages that the sidelobe is lower and can be contolled
张博,戴奉周,冯大政. 一种新型的低旁瓣MIMO雷达发射波形设计方法[J]. 电子与信息学报, 2018, 40(8): 1809-1815.
ZHANG Bo, DAI Fengzhou, FENG Dazheng. A New Method for the Design of Low Sidelobe Transmit Waveform of MIMO Radar. JEIT, 2018, 40(8): 1809-1815.
YU Xianxiang, CUI Guolong, FU Yue, et al. Constrained MIMO radar waveform design for beampattern formation[C]. IEEE Radar Conference, Seattle, USA, 2017: 1397-1401. doi: 10.1109/RADAR.2017.7944425.
[2]
CUI G, YU X, CAROTENUTO V, et al. Space-Time transmit code and receive filter design for colocated MIMO radar[J]. IEEE Transactions on Signal Processing, 2017, 65(5): 1116-1129. doi: 10.1109/TSP.2016.2633242.
[3]
HE Hao, STOICA P, and LI Jian. Designing unimodular sequence sets with good correlations—including an application to MIMO radar[J]. IEEE Transactions on Signal Processing, 2009, 57(11): 4391-4405. doi: 10.1109/TSP.2009. 2025108.
[4]
SONG Xiufeng, ZHOU Shengli, and WILLETT P. Reducing the waveform cross correlation of MIMO radar with space- time coding[J]. IEEE Transactions on Signal Processing, 2010, 58(8): 4213-4224. doi: 10.1109/TSP.2010.2048207.
XU Leilei, ZANG Huikai, ZHOU Shenghua, et al. A design method of phase coded waveform and its mismatched filter[J]. Journal of Xi,an Jiaotong University, 2016, 50(4): 54-59. doi: 10.7652/xjtuxb201604009.
[6]
STOICA P, LI Jian, ZHU Xumin, et al. 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.
[7]
AHMED S, THOMPSON J S, PETILLOT Y R, et al. Unconstrained synthesis of covariance matrix for MIMO radar transmit beampattern[J]. IEEE Transactions on Signal Processing, 2011, 59(8): 3837-3849. doi: 10.1109/TSP.2011. 2153200.
[8]
HAGHNEGAHDAR M, IMANI S, GHORASHI S A, et al. SINR enhancement in colocated MIMO radar using transmit covariance matrix optimization[J]. IEEE Signal Processing Letters, 2017, 24(3): 339-343. doi: 10.1109/LSP.2017. 2663406.
[9]
AHMED S, THOMPSON J S, PETILLOT Y R, et al. Finite alphabet constant-envelope waveform design for MIMO radar [J]. IEEE Transactions on Signal Processing, 2011, 59(11): 5326-5337. doi: 10.1109/TSP.2011.2163067.
WANG Xu, ZHOU Shenghua, LIU Hongwei, et al. Waveform design method for MIMO radar based on joint spatial and temporal optimization[J]. Journal of Xidian University, 2014, 41(3): 41-48. doi: 10.3969/j.issn.1001-2400.2014.03.007.
[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]
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.
[13]
BOUCHOUCHA T, AHMED S, ALNAFFOURI T, et al. DFT-based closed-form covariance matrix and direct waveforms design for MIMO radar to achieve desired beampatterns[J]. IEEE Transactions on Signal Processing, 2017, 65(8): 2104-2113. doi: 10.1109/TSP.2017.2656840.
[14]
ZHANG Xiaojun, HE Zishu, LEZ Rayman-Bacchus, et al. MIMO radar transmit beampattern matching design[J]. IEEE Transactions on Signal Processing, 2015, 63(8): 2049-2056. doi: 10.1109/TSP.2015.2398841.
[15]
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.
[16]
AUBRY A, MAIO A D, and HUANG Y. 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.
[17]
XU Haisheng and GAO Wenyun. MISL-based colocated MIMO radar waveform coefficients matrix design for beampattern matching[C]. IEEE International Conference on Wireless Communications & Signal Processing. Yangzhou, China, 2016: 1-5.
HUANG Zhongrui, SHAN Liang, CHEN Mingjian, et al. New method for the design of transmit waveform of MIMO radar[J]. Journal of Electronics & Information Technology, 2016, 38(5): 1026-1033. doi: 10.1199/JEIT150758.
[19]
WANG Shuangling, HUANG Songhua, and He Zishu. MIMO radar waveform design for transmit beampattern synthesis[C]. 2016 24th European Signal Processing Conference, Budapest, Hungary, 2016: 2065-2069. doi: 10.1109/EUSIPCO.2016. 7760612.
LUO Tao, GUAN Yongfeng, LIU Hongwei, et al. Low sidelobe transmit pattern design for MIMO radar[J]. Journal of Electronics & Information Technology, 2013, 35(12): 2815-2822. doi: 10.3724/SP.J.1146.2013.00337.
