多维参数谱重构的FDA-MIMO雷达超分辨目标定位方法

doi:10.12305/j.issn.1001-506X.2025.05.09

Abstract

Abstract:

Two low-complexity angle-distance super-resolution estimation algorithms are proposed to solve coupling problem of angle and distance in the target localization process of frequency division array multiple-input multiple-output (FDA-MIMO) radar, which are namely the two-dimensional rooting (2D-root) algorithm and the reduced dimensional estimation of signal parameters via rotational invariance techniques (RD-ESPRIT) algorithm. Firstly, an angle-distance two-dimensional spectral reconstruction method is proposed to perform one-dimensional equivalent stripping of the two-dimensional parameter spectrum. Differ from traditional rooting super-resolution algorithms, the 2D-root algorithm utilizes a matrix subspace rooting method to construct dual rooting polynomials for high-precision estimation of angles and distances, and automatically pairs the parameters. Meanwhile, in order to further reduce the computational complexity of rooting computation, the RD-ESPRIT algorithm utilizes the linear relationship inherent in the reconstructed angle spectrum to obtain rotational invariance of the signal subspace, thereby achieving efficient solution of the target angle. Computer simulation experimental results show that the two proposed algorithms can improve parameter estimation accuracy while reducing the complexity of traditional search-based target localization algorithms.

Key words: frequency diverse array multiple-input multiple-output (FDA-MIMO) radar, super resolution, spectrum reconstruction, decoupling

CLC Number:

TN957.52

Xiangtian MENG, Zhehan JING, Bingxia CAO, Minghui SHA, Yingshen ZHU, Fenggang YAN. Super-resolution target localization method based on multi-dimensional parameter spectrum reconstruction of FDA-MIMO radar[J]. Systems Engineering and Electronics, 2025, 47(5): 1461-1468.

Figures/Tables 11

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References 30

1	SKOLNIK M I . Introduction to radar systems[M]. New York: McGraw-Hill Book, 1980.
2	HUANG H P , LIU Q , SO H C , et al. Low-rank and row-sparse decomposition for joint DOA estimation and distorted sensor detection[J]. IEEE Trans. on Aerospace and Electronic Systems, 2023, 59 (4): 4763- 4773. doi: 10.1109/TAES.2023.3241886
3	ZHANG Z , SHI J P , WEN F Q . Phased compensation-based 2D-DOA estimation for EMVS-MIMO radar[J]. IEEE Trans. on Aerospace and Electronic Systems, 2024, 60 (2): 1299- 1308. doi: 10.1109/TAES.2023.3335194
4	ANTONIK P, WICKS M C, GRIFFITHS H D, et al. Frequency diverse array radar[C]//Proc. of the IEEE Radar Conference, 2006: 215-217.
5	LUO T , CHEN P , WANG Z , et al. A sparse Bayesian learning-based main-beam deceptive jamming suppression method using FDA-MIMO radar[J]. IEEE Trans. on Vehicular Technology, 2024, 73 (10): 14704- 14717. doi: 10.1109/TVT.2024.3406778
6	HUANG J, TONG K F, BAKER C J. Frequency diverse array with beam scanning feature[C]//Proc. of the IEEE Antennas and Propagation Society International Symposium, 2008.
7	JIA W K , JAKOBSSON A , WANG W Q . Coherent FDA receiver and joint range-space-time processing[J]. IEEE Trans. on Antennas and Propagation, 2023, 72 (1): 745- 755.
8	WANG W Q , SO H C . Transmit subaperturing for range and angle estimation in frequency diverse array radar[J]. IEEE Trans. on Signal Processing, 2014, 62 (8): 2000- 2011. doi: 10.1109/TSP.2014.2305638
9	WANG W Q . Range-angle dependent transmit beampattern synthesis for linear frequency diverse arrays[J]. IEEE Trans. on Antennas and Propagation, 2013, 61 (8): 4073- 4081. doi: 10.1109/TAP.2013.2260515
10	WANG W Q , SO H C , FARINA A . An overview on time/frequency modulated array processing[J]. IEEE Journal of Selected Topics in Signal Processing, 2017, 11 (2): 228- 246. doi: 10.1109/JSTSP.2016.2627182
11	WANG W Q . Subarray-based frequency diverse array radar for target range-angle estimation[J]. IEEE Trans. on Aerospace and Electronic Systems, 2014, 50 (4): 3057- 3067. doi: 10.1109/TAES.2014.120804
12	SAMMARTINO P F, BAKER C J, GRIFFITHS H D. Range-angle dependent waveform[C]//Proc. of the IEEE Radar Conference, 2010: 511-515.
13	SAMMARTINO P F , BAKER C J , GRIFFITHS H D . Frequency diverse MIMO techniques for radar[J]. IEEE Trans. on Aerospace and Electronic Systems, 2013, 49 (1): 201- 222. doi: 10.1109/TAES.2013.6404099
14	LAN L , XU J W , LIAO G S , et al. Supression of mainbeam deceptive jammer with FDA-MIMO radar[J]. IEEE Trans. on Vehicular Technology, 2020, 69 (10): 11584- 11598. doi: 10.1109/TVT.2020.3014689
15	LAN L , XU J W , LIAO G S , et al. Transceive beamforming with accurate nulling in FDA-MIMO radar for imaging[J]. IEEE Trans. on Geoscience and Remote Sensing, 2020, 58 (6): 4145- 4159. doi: 10.1109/TGRS.2019.2961324
16	XU J W , LIAO G S , ZHU S Q , et al. Joint range and angle estimation using MIMO radar with frequency diverse array[J]. IEEE Trans. on Signal Processing, 2015, 63 (13): 3396- 3410. doi: 10.1109/TSP.2015.2422680
17	CHEN H , SHAO H Z , WANG W Q . Joint sparsity-based range-angle-dependent beampattern synthesis for frequency diverse array[J]. IEEE Access, 2017, 5, 15152- 15161. doi: 10.1109/ACCESS.2017.2731973
18	TAN M , WANG C Y , LI Z H . Correction analysis of frequency diverse array radar about time[J]. IEEE Trans. on Antennas and Propagation, 2020, 69 (2): 834- 847.
19	王伟伟, 吴孙勇, 许京伟, 等. 基于频率分集阵列的机载雷达距离模糊杂波抑制方法[J]. 电子与信息学报, 2015, 37 (10): 2321- 2327.
	WANG W W , WU S Y , XU J W , et al. Range ambiguity clutter suppresion for aribone radar based on frequency diverse array[J]. Journal of Electronics & Information Technology, 2015, 37 (10): 2321- 2327.
20	BABUR G, AUBRY P, CHEVALIER F L. Improved calibration technique for the transmit beamforming by a coherent MIMO radar with collocated antennas[C]//Proc. of the 31st URSI General Assembly and Scientific Symposium, 2014.
21	RUBINSTEIN N , TABRIKIAN J . Frequency diverse array signal optimization: from non-cognitive to cognitive radar[J]. IEEE Trans. on Signal Processing, 2021, 69, 6206- 6220. doi: 10.1109/TSP.2021.3122091
22	SCHMIDT R O . Multiple emitter location and signal parameter estimation[J]. IEEE Trans. on Antennas and Propagation, 1986, 34 (3): 276- 270. doi: 10.1109/TAP.1986.1143830
23	CUI C, YAN Y S, WANG W Q, et al. Resolution threshold of MUSIC algorithm for FDA-MIMO radar[C]//Proc. of the IEEE Radar Conference, 2018: 230-234.
24	GUI R H , WANG W Q , PAN Y , et al. Cognitive target tracking via angle-range-Doppler estimation with transmit subaperturing FDA radar[J]. IEEE Journal of Selected Topics in Signal Processing, 2018, 12 (1): 76- 89. doi: 10.1109/JSTSP.2018.2793761
25	朱晶晶, 朱圣棋, 廖桂生, 等. 相控阵和频率分集阵双模式雷达联合目标检测[J]. 系统工程与电子技术, 2023, 45 (5): 1342- 1350. doi: 10.12305/j.issn.1001-506X.2023.05.10
	ZHU J J , ZHU S Q , LIAO G S , et al. Joint target detection based on phased array and frequency diverse array dual-mode radar[J]. Systems Engineering and Electronics, 2023, 45 (5): 1342- 1350. doi: 10.12305/j.issn.1001-506X.2023.05.10
26	王文钦, 张顺生. 频控阵雷达技术研究进展综述[J]. 雷达学报, 2022, 11 (5): 831- 849.
	WANG W Q , ZHANG S S . Recent advances in frequency diverse array radar techniques[J]. Journal of Radars, 2022, 11 (5): 831- 849.
27	ZHENG G M , SONG Y W . Signal model and method for joint angle and range estimation of low-elevation target in meter-wave FDA-MIMO radar[J]. IEEE Communications Letters, 2022, 26 (2): 449- 453. doi: 10.1109/LCOMM.2021.3126935
28	ZHOU L , YE K , QI J , et al. DOA estimation based on pseudo-noise subspace for relocating enhanced nested array[J]. IEEE Signal Processing Letters, 2022, 29, 1858- 1862. doi: 10.1109/LSP.2022.3199149
29	WU X H , YANG X , JIA X Y , et al. A gridless DOA estimation method based on convolutional neural network with Toeplitz prior[J]. IEEE Signal Processing Letters, 2022, 29, 1247- 1251. doi: 10.1109/LSP.2022.3176211
30	LI W L , ZHU Z Y , GAO W G , et al. Stability and super-resolution of MUSIC and ESPRIT for multi-snapshot spectral estimation[J]. IEEE Trans. on Signal Processing, 2022, 70, 4555- 4570. doi: 10.1109/TSP.2022.3204454

算法	理论计算量
2D-MUSIC	O((MN)²L+(MN)³+J₁(MN+1)(MN－P))
双脉冲法	O(2(MN)²L+2(MN)³+(Q₁+Q₂)(MN+1)(MN－P))
2D-root	O((MN)²L+(MN)³+(2M(N－1))³+(2(M－1))³)
RD-ESPRIT	O((MN)²L+(MN)³+P³+(2(M－1))³)

参数	取值
载频f₀/GHz	3
频偏Δf/kHz	1
发射天线数量M	见具体仿真条件
接收天线数量N	见具体仿真条件
发射天线间距/m	0.05
接收天线间距/m	0.05

收发单元个数	算法
收发单元个数	2D-MUSIC	双脉冲	2D-root	RD-ESPRIT
M=3, N=4	14.984 4	0.721 5	0.475 3	0.468 8
M=3, N=6	16.381 3	1.442 8	0.576 1	0.503 2
M=3, N=8	18.105 2	1.910 6	0.682 5	0.570 8
M=4, N=3	14.952 7	0.722 4	0.470 7	0.468 5
M=4, N=6	18.034 4	1.910 3	0.668 0	0.571 1
M=3, N=8	20.812 9	3.529 6	0.784 7	0.669 3
M=6, N=3	16.380 5	1.443 0	0.559 1	0.508 7
M=6, N=4	18.121 3	1.910 8	0.632 8	0.574 5

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Super-resolution target localization method based on multi-dimensional parameter spectrum reconstruction of FDA-MIMO radar

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