基于冗余阵元优化的双基地嵌套MIMO雷达目标DOD和DOA联合估计方法

doi:10.12305/j.issn.1001-506X.2022.12.13

系统工程与电子技术 ›› 2022, Vol. 44 ›› Issue (12): 3696-3702.doi: 10.12305/j.issn.1001-506X.2022.12.13

基于冗余阵元优化的双基地嵌套MIMO雷达目标DOD和DOA联合估计方法

游致远, 胡国平*, 周豪

空军工程大学防空反导学院, 陕西西安 710051

收稿日期:2021-06-17 出版日期:2022-11-14 发布日期:2022-11-24
通讯作者: 胡国平
作者简介:游致远(1998—), 男, 硕士研究生, 主要研究方向为稀疏阵列MIMO雷达信号处理|胡国平(1964—), 男, 教授, 博士, 主要研究方向为雷达信号处理、雷达反隐身技术、无线通信技术和图像处理|周豪(1990—), 男, 讲师, 博士, 主要研究方向为低空目标探测技术
基金资助:
国家自然科学基金(62071476)

Bistatic nested MIMO radar based on redundant element optimization joint estimation method of target DOD and DOA

Zhiyuan YOU, Guoping HU*, Hao ZHOU

Air And Missile Defense College, Air Force Engineering University, Xi'an 710051, China

Received:2021-06-17 Online:2022-11-14 Published:2022-11-24
Contact: Guoping HU

摘要/Abstract

摘要：

针对传统双基地嵌套多输入多输出(multiple input multiple output, MIMO)雷达进行目标参数估计时精度差、角度分辨率低和自由度低等问题, 提出了一种基于利用虚拟冗余阵元的重建Toeplitz矩阵算法对目标的波离方向角(direction of departure, DOD)和波达方向角(direction of arrival, DOA)开展参数估计的方法。首先, 将两个嵌套阵列空间分置后分别形成双基地MIMO雷达的接收阵列和发射阵列, 阵列经处理后的虚拟接收信号存在大量冗余虚拟阵元。其次, 将冗余虚拟阵元对应的协方差数值进行平均处理替代原值, 形成新的虚拟接收信号。然后，通过利用两个选择矩阵在虚拟接收阵列和虚拟发射阵列中分别构建空间平滑子阵的方法重构Toeplitz矩阵, 来重组虚拟接收信号。最后, 利用常规子空间类算法对等效虚拟信号开展空间谱估计, 实现DOD和DOA的相互匹配, 所提算法在估计性能和自由度性能方面与其他算法对比效果更好。

关键词: 冗余虚拟阵元, 嵌套阵列, 双基地多输入多输出雷达, 角度联合估计

Abstract:

Aiming at the problems of poor accuracy, low angular resolution, and low degree of freedom in traditional bistatic nested multiple input multiple output (MIMO) radar for target parameter estimation, a method based on the use of virtual redundant array elements is proposed. The reconstructed Toeplitz matrix algorithm is a method of parameter estimation for the direction of departure (DOD) and direction of arrival (DOA) of the target. Firstly, the two nested sub-arrays are arranged with the zero point as the center to form the receiving array and the transmitting array of the bistatic MIMO radar. The virtual receiving signal processed by the array has a large number of redundant virtual array elements. Secondly, the covariance values corresponding to the redundant virtual array elements are averaged to replace the original values to form a new virtual received signal, and then two selection matrices are used to construct spatial smoothing sub-arrays in the virtual receiving array and the virtual transmitting array. The method reconstructs the Toeplitz matrix to reconstruct the virtual received signal. Finally, the conventional subspace algorithm is used to estimate the space spectrum of the equivalent virtual signal to realize the mutual matching of DOD and DOA. The proposed algorithm compares better with other algorithms in terms of estimation performance and degree of freedom performance.

Key words: redundant virtual element, nested array, bistatic multiple input multiple output (MIMO) radar, joint angle estimation

中图分类号:

TN953

游致远, 胡国平, 周豪. 基于冗余阵元优化的双基地嵌套MIMO雷达目标DOD和DOA联合估计方法[J]. 系统工程与电子技术, 2022, 44(12): 3696-3702.

Zhiyuan YOU, Guoping HU, Hao ZHOU. Bistatic nested MIMO radar based on redundant element optimization joint estimation method of target DOD and DOA[J]. Systems Engineering and Electronics, 2022, 44(12): 3696-3702.

图/表 5

参考文献 24

1	RABIDEAU D J, PARKER P. Ubiquitous MIMO multifunction digital array radar[C]//Proc. of the 37th Asilomar Conference on Signals, Systems and Computers, 2003: 1058-1061.
2	LUO K , MANIKAS A . Superresolution multitarget parameter estimation in MIMO radar[J]. IEEE Trans.on Geoscience and Remote Sensing, 2013, 51 (6): 3683- 3693. doi: 10.1109/TGRS.2012.2226466
3	GONG P C , SHAO Z H , TU G P , et al. Transmit beampattern design based on optimization for MIMO radar systems[J]. Signal Processing, 2014, 94 (6): 195- 201.
4	LI L . Cramer-Rao bound for parameter estimation in narrowband bistatic MIMO radar[J]. Applied Mechanics and Materials, 2014, 556-562, 5034- 5037. doi: 10.4028/www.scientific.net/AMM.556-562.5034
5	BENCHEIKH M L , WANG Y D , HE H Y . Polynomial root finding technique for joint DOA DOD estimation in bistatic MIMO radar[J]. Signal Processing, 2010, 90 (9): 2723- 2730. doi: 10.1016/j.sigpro.2010.03.023
6	ZHANG X F , XU L Y , XU L , et al. Direction of departure (DOD) and direction of arrival (DOA) estimation in MIMO radar with reduced-dimension MUSIC[J]. IEEE Communications Letters, 2010, 14 (12): 1160- 1163.
7	CHEN D F , CHEN B X , QIN G D . Angle estimation using ESPRIT in MIMO radar[J]. Electronics Letters, 2008, 44 (12): 770- 771. doi: 10.1049/el:20080276
8	JIN L C , HONG G , WEI M S . Angle estimation using ESPRIT without pairing in MIMO radar[J]. Electronics Letters, 2008, 44 (24): 1422- 1423. doi: 10.1049/el:20089089
9	ZHENG G M , CHEN B X , YANG M L . Unitary ESPRIT algorithm for bistatic MIMO radar[J]. Electronics Letters, 2012, 48 (3): 179- 181. doi: 10.1049/el.2011.3657
10	CHEN C Y, VAIDYANATHAN P P. Minimum redundancy MIMO radars[C]//Proc. of the International Symposium on Circuits & Systems, 2008: 45-48.
11	PAL P , VAIDYANATHAN P P . Nested arrays: a novel approach to array processing with enhanced degrees of freedom[J]. IEEE Trans.on Signal Processing, 2010, 58 (8): 4167- 4181. doi: 10.1109/TSP.2010.2049264
12	PAL P, VAIDYANATHAN P P. Coprime sampling and the MUSIC algorithm[C]//Proc. of the Digital Signal Processing Workshop and IEEE Signal Processing Education Workshop, 2011: 289-294.
13	DUO F C , BAI X C , GUO D Q . Angle estimation using ESPRIT in MIMO radar[J]. Electronics Letters, 2008, 44 (12): 770- 771. doi: 10.1049/el:20080276
14	LIAO Y P , ZHAO R G , GAO L P . Joint DOD and DOA Estimation in bistatic MIMO radar with distributed nested arrays[J]. IEEE Access, 2019, 7, 50954- 50961. doi: 10.1109/ACCESS.2019.2904613
15	ZHENG G M , TANG J . DOD and DOA estimation in bistatic MIMO radar for nested and coprime array with closed-form DOF[J]. International Journal of Electronics, 2016, 104 (5): 885- 897.
16	SHI J P , WEN F Q , LIU T P . Nested MIMO radar: coarrays, tensor modeling and angle estimation[J]. IEEE Trans.on Aerospace and Electronic Systems, 2020, 37 (1): 573- 585.
17	JIN M , LIAO G S , LI J . Joint DOD and DOA estimation for bistatic MIMO radar[J]. Signal Processing, 2009, 89 (2): 244- 251. doi: 10.1016/j.sigpro.2008.08.003
18	FANG W H , TU C C , CHEN Y T . Nested algorithms for joint DOD and DOA estimation in bistatic MIMO radar[J]. Multidimensional Systems & Signal Processing, 2018, 29 (2): 783- 798.
19	YOU Z Y , HU G P , ZHENG G M , et al. Joint DOD and DOA estimation of bistatic MIMO radar for coprime array based on array elements interpolation[J]. Mathematical Problems in Engineering, 2022, 2022, 1- 10.
20	HUANG S M , WOLKOWICZ H . Low-rank matrix completion using nuclear norm minimization and facial reduction[J]. Journal of Global Optimization, 2018, 7 (21): 5- 26.
21	LIU S, ZHAO J, LI W. Subspace extension algorithm for joint DOA and DOD estimation in bistatic MIMO radar[C]// Proc. of the International Conference on Artificial Intelligence and Security, 2019: 244-252.
22	ZHENG G M , TANG J . DOD and DOA estimation in bistatic MIMO radar for nested and coprime array with closed-form DOF[J]. International Journal of Electronics, 2017, 104 (5): 885- 897. doi: 10.1080/00207217.2016.1253789
23	占成宏, 胡国平, 周豪, 等. 基于虚拟阵元内插的互质阵列目标DOD和DOA联合估计算法[J]. 系统工程与电子技术, 2020, 42 (7): 1455- 1464.
	ZHAN C H , HU G P , ZHOU H , et al. Joint DOD and DOA estimation algorithm for coprime arrays based on virtual array element interpolation[J]. Systems Engineering and Electronics, 2020, 42 (7): 1455- 1464.
24	史文涛, 张群飞, 何成兵. 基于降维Capon的双基地MIMO阵列目标DOD和DOA联合估计算法[J]. 西北工业大学学报, 2019, 37 (5): 857- 864. doi: 10.3969/j.issn.1000-2758.2019.05.001
	SHI W T , ZHANG Q F , HE C B . Joint estimation algorithm of target DOD and DOA for bistatic MIMO array based on dimension reduction capon[J]. Journal of Northwestern Polytechnical University, 2019, 37 (5): 857- 864. doi: 10.3969/j.issn.1000-2758.2019.05.001

[1]	占成宏, 胡国平, 周豪, 张子鑫. 基于虚拟阵元内插的互质阵列目标DOD和DOA联合估计算法[J]. 系统工程与电子技术, 2020, 42(7): 1455-1463.
[2]	程天昊, 王布宏, 蔡斌, 李夏, 刘帅琦. 二维混合MIMO相控阵雷达的嵌套阵列结构设计[J]. 系统工程与电子技术, 2019, 41(3): 541-548.
[3]	张正言, 张剑云. 双基地MIMO雷达多目标高精度跟踪算法[J]. 系统工程与电子技术, 2018, 40(6): 1241-1248.
[4]	杨守国, 李勇, 张昆辉, 郭艺夺. 基于降维的双基地MIMO雷达收发阵列互耦和幅相误差校正算法[J]. 系统工程与电子技术, 2018, 40(12): 2668-2674.
[5]	张正言, 张剑云. 基于改进型PASTd双基地MIMO雷达角度跟踪算法[J]. 系统工程与电子技术, 2018, 40(1): 65-72.
[6]	黄中瑞, 周青松, 张剑云. 时频栅格误差条件下的双基地MIMO雷达角度估计[J]. 系统工程与电子技术, 2016, 38(10): 2267-2274.
[7]	梁浩，崔琛，伍波，李小波. 双基地MIMO雷达相干目标角度估计算法[J]. 系统工程与电子技术, 2014, 36(6): 1068-1074.
[8]	王伟，吕成财. 基于ESPRIT算法的双基地MIMO雷达幅相误差分析[J]. Journal of Systems Engineering and Electronics, 2013, 35(5): 956-961.
[9]	陈金立，朱艳萍，顾红，苏卫民. 双基地MIMO雷达的高速运动目标定位方法[J]. Journal of Systems Engineering and Electronics, 2013, 35(5): 962-967.
[10]	郑志东，张剑云，周青松，刘春生. 基于矢量重构的双基地MIMO雷达相干多目标定位[J]. Journal of Systems Engineering and Electronics, 2013, 35(3): 504-510.
[11]	党晓方，杨明磊，陈伯孝. 双基地MIMO雷达发射阵列幅相误差的旋转阵列校正法[J]. 系统工程与电子技术, 2013, 35(12): 2483-2488.
[12]	郭艺夺, 张永顺, 童宁宁, 沈堤. 双基地MIMO雷达二维方位角及多普勒频率联合估计[J]. Journal of Systems Engineering and Electronics, 2011, 33(11): 2393-2397.
[13]	郑志东, 张剑云, 熊蓓蕾. 双基地MIMO雷达的DOD和DOA联合估计[J]. Journal of Systems Engineering and Electronics, 2010, 32(11): 2268-2272.

基于冗余阵元优化的双基地嵌套MIMO雷达目标DOD和DOA联合估计方法

Bistatic nested MIMO radar based on redundant element optimization joint estimation method of target DOD and DOA

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