Submit Manuscript
Peer Review
Editor Work
- Home
-
Articles & Issues
-
Data
- Dataset of Radar Detecting Sea
- SAR Dataset
- SARGroundObjectsTypes
- SARMV3D
- 3DRIED
- UWB-HA4D
- LLS-LFMCWR
- FAIR-CSAR
- FUSAR
- MSAR
- SDD-SAR
- DatasetinthePaper
- SpaceborneSAR3Dimaging
- DatasetintheCompetition
- Sea-land Segmentation
- SAR-Airport
- Hilly and mountainous farmland time-series SAR and ground quadrat dataset
-
Report
-
Course
-
About
-
Publish
- Editorial Board
- Chinese
| Citation: | XIAO Jiong, TANG Bo, and WANG Hai. Sparse reconstruction-based direction of arrival estimation for MIMO radar in the presence of unknown mutual coupling[J]. Journal of Radars, 2024, 13(5): 1123–1133. doi: 10.12000/JR24061
|
Sparse Reconstruction-based Direction of Arrival Estimation for MIMO Radar in the Presence of Unknown Mutual Coupling
DOI: 10.12000/JR24061 CSTR: 32380.14.JR24061
More Information-
Abstract
To improve the accuracy of Direction Of Arrival (DOA) estimation in Multiple Input Multiple Output (MIMO) radar systems under unknown mutual coupling, we propose a mutual coupling calibration and DOA estimation algorithm based on Sparse Learning via Iterative Minimization (SLIM). The proposed algorithm utilizes the spatial sparsity of target signals and estimates the spatial pseudo-spectra and the mutual coupling matrices of MIMO arrays through cyclic optimization. Moreover, it is hyperparameter-free and guarantees convergence. Numerical examples demonstrate that for MIMO radar systems under unknown mutual coupling conditions, the proposed algorithm can accurately estimate the DOA of targets with small angle separations and relatively high Signal-to-Noise Ratios (SNRs), even with a limited number of samples. In addition, low DOA estimation errors are achieved for targets with large angle separations and small sample sizes, even under low-SNR conditions. -
References
[1] LI Jian and STOICA P. MIMO Radar Signal Processing[M]. Hoboken: John Wiley & Sons, 2009. doi: 10.1002/9780470391488.[2] HAIMOVICH A, BLUM R, and CIMINI L. MIMO radar with widely separated antennas[J]. IEEE Signal Processing Magazine, 2008, 25(1): 116–129. doi: 10.1109/MSP.2008.4408448.[3] 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.[4] 何子述, 程子扬, 李军, 等. 集中式MIMO雷达研究综述[J]. 雷达学报, 2022, 11(5): 805–829. doi: 10.12000/JR22128.HE Zishu, CHENG Ziyang, LI Jun, et al. A survey of collocated MIMO radar[J]. Journal of Radars, 2022, 11(5): 805–829. doi: 10.12000/JR22128.[5] 张国鑫, 易伟, 孔令讲. 基于1比特量化的大规模MIMO雷达系统直接定位算法[J]. 雷达学报, 2021, 10(6): 970–981. doi: 10.12000/JR21062.ZHANG Guoxin, YI Wei, and KONG Lingjiang. Direct position determination for massive MIMO system with one-bit quantization[J]. Journal of Radars, 2021, 10(6): 970–981. doi: 10.12000/JR21062.[6] LI Da, TANG Bo, and XUE Lei. Multi-spectrally constrained low-PAPR waveform optimization for MIMO radar space-time adaptive processing[J]. IEEE Transactions on Aerospace and Electronic Systems, 2023, 59(5): 5097–5110. doi: 10.1109/TAES.2023.3247976.[7] TANG Bo and STOICA P. MIMO multifunction RF systems: Detection performance and waveform design[J]. IEEE Transactions on Signal Processing, 2022, 70: 4381–4394. doi: 10.1109/TSP.2022.3202315.[8] 吴文俊, 唐波, 汤俊, 等. 杂波环境中雷达通信一体化系统波形设计算法研究[J]. 雷达学报, 2022, 11(4): 570–580. doi: 10.12000/JR22105.WU Wenjun, TANG Bo, TANG Jun, et al. Waveform design for dual-function radar-communication systems in clutter[J]. Journal of Radars, 2022, 11(4): 570–580. doi: 10.12000/JR22105.[9] 杨婧, 余显祥, 沙明辉, 等. MIMO系统探通一体化信号矩阵设计方法[J]. 雷达学报, 2023, 12(2): 262–274. doi: 10.12000/JR22087.YANG Jing, YU Xianxiang, SHA Minghui, et al. Dual function radar and communication signal matrix design method for MIMO system[J]. Journal of Radars, 2023, 12(2): 262–274. doi: 10.12000/JR22087.[10] LIU Chunlin and VAIDYANATHAN P P. Super nested arrays: Linear sparse arrays with reduced mutual coupling—part I: Fundamentals[J]. IEEE Transactions on Signal Processing, 2016, 64(15): 3997–4012. doi: 10.1109/TSP.2016.2558159.[11] ZHENG Zhengzhi, WANG Wenqin, KONG Yangyang, et al. MISC array: A new sparse array design achieving increased degrees of freedom and reduced mutual coupling effect[J]. IEEE Transactions on Signal Processing, 2019, 67(7): 1728–1741. doi: 10.1109/TSP.2019.2897954.[12] YAN Hangqi, WANG Yuexian, WANG Ling, et al. Design of nonredundant sparse planar arrays with reduced mutual coupling[J]. IEEE Transactions on Aerospace and Electronic Systems, 2024, 60(2): 1272–1283. doi: 10.1109/TAES.2023.3337216.[13] AMANI N, JANSEN F, FILIPPI A, et al. Sparse automotive MIMO radar for super-resolution single snapshot DOA estimation with mutual coupling[J]. IEEE Access, 2021, 9: 146822–146829. doi: 10.1109/ACCESS.2021.3122967.[14] LIU Xiaoli and LIAO Guisheng. Direction finding and mutual coupling estimation for bistatic MIMO radar[J]. Signal Processing, 2012, 92(2): 517–522. doi: 10.1016/j.sigpro.2011.08.017.[15] ZHENG Zhidong, ZHANG Jin, and ZHANG Jianyun. Joint DOD and DOA estimation of bistatic MIMO radar in the presence of unknown mutual coupling[J]. Signal Processing, 2012, 92(12): 3039–3048. doi: 10.1016/j.sigpro.2012.06.013.[16] XU Yang and ZHENG Zhi. Joint DOD and DOA estimation for bistatic MIMO radar in the presence of unknown mutual coupling[J]. Circuits, Systems, and Signal Processing, 2023, 42(4): 2468–2479. doi: 10.1007/s00034-022-02201-5.[17] TIAN Ye, WANG Ran, CHEN Hua, et al. Real-valued DOA estimation utilizing enhanced covariance matrix with unknown mutual coupling[J]. IEEE Communications Letters, 2022, 26(4): 912–916. doi: 10.1109/LCOMM.2022.3148260.[18] 杨康, 文方青, 黄冬梅, 等. 基于实值三线性分解的互耦条件下双基地MIMO雷达角度估计算法[J]. 系统工程与电子技术, 2018, 40(2): 314–321. doi: 10.3969/j.issn.1001-506X.2018.02.12.YANG Kang, WEN Fangqing, HUANG Dongmei, et al. Real-value-based trilinear decomposition based direction estimation algorithm for bistatic MIMO radar in the presence of mutual coupling[J]. Systems Engineering and Electronics, 2018, 40(2): 314–321. doi: 10.3969/j.issn.1001-506X.2018.02.12.[19] WANG Xianpeng, MENG Dandan, HUANG Mengxing, et al. Reweighted regularized sparse recovery for DOA estimation with unknown mutual coupling[J]. IEEE Communications Letters, 2019, 23(2): 290–293. doi: 10.1109/LCOMM.2018.2884457.[20] ROCCA P, HANNAN M A, SALUCCI M, et al. Single-snapshot DOA estimation in array antennas with mutual coupling through a multiscaling BCS strategy[J]. IEEE Transactions on Antennas and Propagation, 2017, 65(6): 3203–3213. doi: 10.1109/TAP.2017.2684137.[21] HAWES M, MIHAYLOVA L, SEPTIER F, et al. Bayesian compressive sensing approaches for direction of arrival estimation with mutual coupling effects[J]. IEEE Transactions on Antennas and Propagation, 2017, 65(3): 1357–1368. doi: 10.1109/TAP.2017.2655013.[22] CHEN Peng, CAO Zhenxin, CHEN Zhimin, et al. Off-grid DOA estimation using sparse Bayesian learning in MIMO radar with unknown mutual coupling[J]. IEEE Transactions on Signal Processing, 2019, 67(1): 208–220. doi: 10.1109/TSP.2018.2881663.[23] FRIEDLANDER B and WEISS A J. Direction finding in the presence of mutual coupling[J]. IEEE Transactions on Antennas and Propagation, 1991, 39(3): 273–284. doi: 10.1109/8.76322.[24] ZHOU Jianxiong, ZHU Rongqiang, and LI Haorun. Mutual coupling compensation for compact MIMO radar[J]. IEEE Transactions on Antennas and Propagation, 2022, 70(7): 6018–6023. doi: 10.1109/TAP.2022.3161333.[25] ZHU Jingjing, ZHU Shengqi, XU Jingwei, et al. Adaptive detectors for FDA-MIMO radar with unknown mutual coupling[J]. IEEE Signal Processing Letters, 2023, 30: 1437–1441. doi: 10.1109/LSP.2023.3321555.[26] LIU Long, ZHANG Hu, LAN Lan, et al. Joint range and angle estimation by FDA-MIMO radar with unknown mutual coupling[J]. IEEE Transactions on Aerospace and Electronic Systems, 2023, 59(4): 3669–3683. doi: 10.1109/TAES.2022.3230383.[27] XU Luzhou, ZHAO Kexin, LI Jian, et al. Wideband source localization using sparse learning via iterative minimization[J]. Signal Processing, 2013, 93(12): 3504–3514. doi: 10.1016/j.sigpro.2013.04.005.[28] ZHANG Kun and SHUI Penglang. Estimation of complex high-resolution range profiles of ships by sparse recovery iterative minimization method[J]. IEEE Transactions on Aerospace and Electronic Systems, 2021, 57(5): 3042–3056. doi: 10.1109/TAES.2021.3068431.[29] WU Chaoyi, REN Jiaying, TAN F W, et al. Computationally efficient implementation of SLIM for parameter estimation in few-bit PMCW MIMO radar systems[J]. IEEE Transactions on Radar Systems, 2023, 1: 339–352. doi: 10.1109/TRS.2023.3284297.[30] 张贤达. 矩阵分析与应用[M]. 2版. 北京: 清华大学出版社, 2013.ZHANG Xianda. Matrix Analysis and Applications [M]. 2nd ed. Beijing: Tsinghua University Press, 2013.[31] WU Jinlong, WEN Fangqing, and SHI Junpeng. Direction finding in bistatic MIMO radar with direction-dependent mutual coupling[J]. IEEE Communications Letters, 2021, 25(7): 2231–2234. doi: 10.1109/LCOMM.2021.3072310.[32] LI Jian and STOICA P. Efficient mixed-spectrum estimation with applications to target feature extraction[J]. IEEE Transactions on Signal Processing, 1996, 44(2): 281–295. doi: 10.1109/78.485924.[33] WU Chaoyi, ZHANG Tianyi, LI Jian, et al. Parameter estimation in PMCW MIMO radar systems with few-bit quantized observations[J]. IEEE Transactions on Signal Processing, 2022, 70: 810–821. doi: 10.1109/TSP.2022.3146790. Relative Articles
[1] DING Chuanwei, LIU Zhilin, ZHANG Li, ZHAO Heng, ZHOU Qing, HONG Hong, ZHU Xiaohua. Tangential Human Posture Recognition with Sequential Images Based on MIMO Radar[J]. Journal of Radars, 2025, 14(1): 151-167. doi: 10.12000/JR24116 [2] LI Zhengjie, XIE Junwei, ZHANG Haowei, WEN Quan, LIU Bin. A Fast Power Allocation Algorithm in a Collocated MIMO Radar under Low Interception Backgrounds[J]. Journal of Radars, 2023, 12(3): 602-615. doi: 10.12000/JR22203 [3] DING Zihang, XIE Junwei, WANG Bo. Missing Covariance Matrix Recovery with the FDA-MIMO Radar Using Deep Learning Method[J]. Journal of Radars, 2023, 12(5): 1112-1124. doi: 10.12000/JR23002 [4] ZHANG Shunsheng, LIU Meihui, WANG Wenqin. FDA-MIMO Radar Moving Target Detection Based on Doppler Spread Compensation[J]. Journal of Radars, 2022, 11(4): 666-675. doi: 10.12000/JR22042 [5] HE Zishu, CHENG Ziyang, LI Jun, ZHANG Wei, SHI Jingxi, SU Yang, DENG Minglong. A Survey of Collocated MIMO Radar[J]. Journal of Radars, 2022, 11(5): 805-829. doi: 10.12000/JR22128 [6] HUANG Bang, WANG Wenqin, LI Ping, JIAN Jiangwei, ZHANG Shunsheng. Adaptive Distributed Target Detection for FDA-MIMO Radar with Rao Detector[J]. Journal of Radars. doi: 10.12000/JR21191 [7] FAN Wen, YU Baoguo, CHEN Jing, ZHANG Hang, LI Chunze. 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 [8] CHEN Hui, TIAN Xiang, LI Zihao, JIANG Xinrui. Reduced-dimension Target Parameter Estimation For Conformal FDA-MIMO Radar[J]. Journal of Radars, 2021, 10(6): 811-821. doi: 10.12000/JR21197 [9] ZHANG Guoxin, YI Wei, KONG Lingjiang. Direct Position Determination for Massive MIMO System with One-bit Quantization[J]. Journal of Radars, 2021, 10(6): 970-981. doi: 10.12000/JR21062 [10] ZHENG Tong, JIANG Libing, WANG Zhuang. Three-dimensional Multiple-Input Multiple-Output Radar Imaging Method Based on Integration of Multi-snapshot Images[J]. Journal of Radars, 2020, 9(4): 739-752. doi: 10.12000/JR19069 [11] HAN Jinwang, ZHANG Zijing, LIU Jun, ZHAO Yongbo. Adaptive Bayesian Detection for MIMO Radar in Gaussian Clutter[J]. Journal of Radars, 2019, 8(4): 501-509. doi: 10.12000/JR18090 [12] Xu Jingwei, Zhu Shengqi, Liao Guisheng, Zhang Yuhong. An Overview of Frequency Diverse Array Radar Technology[J]. Journal of Radars, 2018, 7(2): 167-182. doi: 10.12000/JR18023 [13] Luo Ying, Gong Yishuai, Chen Yijun, Zhang Qun. Multi-target Micro-motion Feature Extraction Based on Tracking Pulses in MIMO Radar[J]. Journal of Radars, 2018, 7(5): 575-584. doi: 10.12000/JR18035 [14] Xu Xiaojian, Liu Yongze. Three-dimensional Interferometric MIMO Radar Imaging for Target Scattering Diagnosis[J]. Journal of Radars, 2018, 7(6): 655-663. doi: 10.12000/JR18088 [15] Gong Pengcheng, Liu Gang, Huang He, Wang Wenqin. Multidimensional Parameter Estimation Method Based on Sparse Iteration in FDA-MIMO Radar[J]. Journal of Radars, 2018, 7(2): 194-201. doi: 10.12000/JR16121 [16] Cheng Ziyang, He Zishu, Wang Zhilei, Lu Yanxi. Detection Performance Analysis for Distributed MIMO Radar[J]. Journal of Radars, 2017, 6(1): 81-89. doi: 10.12000/JR16147 [17] Guo Yiduo, Gong Jian, Huang Darong, Jin Hubing. Unified Theoretical Frame of a Joint Transmitter-Receiver Reduced Dimensional STAP Method for an Airborne MIMO Radar[J]. Journal of Radars, 2016, 5(5): 517-525. doi: 10.12000/JR16108 [18] Liang Hao, Cui Chen, Yu Jian. Two-dimensional DOA Estimation with High Accuracy for MIMO Radar Using Cross Array[J]. Journal of Radars, 2016, 5(3): 254-264. doi: 10.12000/JR16016 [19] Wang Ting, Zhao Yong-jun, Hu Tao. Overview of Space-Time Adaptive Processing for Airborne Multiple-Input Multiple-Output Radar[J]. Journal of Radars, 2015, 4(2): 136-148. doi: 10.12000/JR14091 [20] Li Jun, Dang Bo, Liu Chang-zan, Liao Gui-sheng. Bistatic MIMO Radar Clutter Suppression by Exploiting the Transmit Angle[J]. Journal of Radars, 2014, 3(2): 208-216. doi: 10.3724/SP.J.1300.2014.13148 -
Proportional views
- Publishing Ethics
- Journal Insights
- Abstracting & Indexing
- Peer Review Policies
- Guide for Authors
- Conference
- ISSN 2095-283X (Print)ISSN 2097-339X (Online)
- CN 10-1030/TN
- CODEN LXEUAO
About Journal
- Sponsor: China Radio Detection and Ranging Industry Association (CRIA)
- Phone: 010-58887062
- Email：radars@aircas.ac.cn
- Publisher: Leida Xuebao Bianjibu (Editorial office of the Journal of Radars)
Contacts Us
京ICP备20021838号-8
Supported by: Beijing Renhe Information Technology Co. Ltd
Export File
Citation
XIAO Jiong, TANG Bo, and WANG Hai. Sparse reconstruction-based direction of arrival estimation for MIMO radar in the presence of unknown mutual coupling[J]. Journal of Radars, 2024, 13(5): 1123–1133. doi: 10.12000/JR24061
Format
Content
DownLoad:
- Figure 1. Colocated MIMO radar
- Figure 2. Flow chart of the SLIMMC algorithm
- Figure 3. Convergence analysis of the proposed algorithm
- Figure 4. RMSEs of the SLIMMC and SLIMMC-RELAX algorithms versus the number of snapshots (SNR=10 dB)
- Figure 5. RMSEs of the SLIMMC and SLIMMC-RELAX algorithms versus SNR (L=10)
- Figure 6. RMSEs of the proposed algorithm versus SNR for different numbers of nonzero mutual coupling coefficients
- Figure 7. RMSEs of the proposed algorithm versus the number of snapshots for different mutual coupling coefficients (SNR=10 dB)
- Figure 8. RMSEs of the proposed algorithm versus SNR for different mutual coupling coefficients (L=10)
- Figure 9. Spectrum for targets (SNR=10 dB)
- Figure 10. RMSEs versus SNR
- Figure 11. RMSEs versus snapshots (SNR=10 dB)