Vol. 122
Latest Volume
All Volumes
PIERM 127 [2024] PIERM 126 [2024] PIERM 125 [2024] PIERM 124 [2024] PIERM 123 [2024] PIERM 122 [2023] PIERM 121 [2023] PIERM 120 [2023] PIERM 119 [2023] PIERM 118 [2023] PIERM 117 [2023] PIERM 116 [2023] PIERM 115 [2023] PIERM 114 [2022] PIERM 113 [2022] PIERM 112 [2022] PIERM 111 [2022] PIERM 110 [2022] PIERM 109 [2022] PIERM 108 [2022] PIERM 107 [2022] PIERM 106 [2021] PIERM 105 [2021] PIERM 104 [2021] PIERM 103 [2021] PIERM 102 [2021] PIERM 101 [2021] PIERM 100 [2021] PIERM 99 [2021] PIERM 98 [2020] PIERM 97 [2020] PIERM 96 [2020] PIERM 95 [2020] PIERM 94 [2020] PIERM 93 [2020] PIERM 92 [2020] PIERM 91 [2020] PIERM 90 [2020] PIERM 89 [2020] PIERM 88 [2020] PIERM 87 [2019] PIERM 86 [2019] PIERM 85 [2019] PIERM 84 [2019] PIERM 83 [2019] PIERM 82 [2019] PIERM 81 [2019] PIERM 80 [2019] PIERM 79 [2019] PIERM 78 [2019] PIERM 77 [2019] PIERM 76 [2018] PIERM 75 [2018] PIERM 74 [2018] PIERM 73 [2018] PIERM 72 [2018] PIERM 71 [2018] PIERM 70 [2018] PIERM 69 [2018] PIERM 68 [2018] PIERM 67 [2018] PIERM 66 [2018] PIERM 65 [2018] PIERM 64 [2018] PIERM 63 [2018] PIERM 62 [2017] PIERM 61 [2017] PIERM 60 [2017] PIERM 59 [2017] PIERM 58 [2017] PIERM 57 [2017] PIERM 56 [2017] PIERM 55 [2017] PIERM 54 [2017] PIERM 53 [2017] PIERM 52 [2016] PIERM 51 [2016] PIERM 50 [2016] PIERM 49 [2016] PIERM 48 [2016] PIERM 47 [2016] PIERM 46 [2016] PIERM 45 [2016] PIERM 44 [2015] PIERM 43 [2015] PIERM 42 [2015] PIERM 41 [2015] PIERM 40 [2014] PIERM 39 [2014] PIERM 38 [2014] PIERM 37 [2014] PIERM 36 [2014] PIERM 35 [2014] PIERM 34 [2014] PIERM 33 [2013] PIERM 32 [2013] PIERM 31 [2013] PIERM 30 [2013] PIERM 29 [2013] PIERM 28 [2013] PIERM 27 [2012] PIERM 26 [2012] PIERM 25 [2012] PIERM 24 [2012] PIERM 23 [2012] PIERM 22 [2012] PIERM 21 [2011] PIERM 20 [2011] PIERM 19 [2011] PIERM 18 [2011] PIERM 17 [2011] PIERM 16 [2011] PIERM 14 [2010] PIERM 13 [2010] PIERM 12 [2010] PIERM 11 [2010] PIERM 10 [2009] PIERM 9 [2009] PIERM 8 [2009] PIERM 7 [2009] PIERM 6 [2009] PIERM 5 [2008] PIERM 4 [2008] PIERM 3 [2008] PIERM 2 [2008] PIERM 1 [2008]
2023-12-12
Tensor-Based Robust Adaptive Beamforming for Multiple-Input Multiple-Output Radar Under Random Mismatch Scenarios
By
Progress In Electromagnetics Research M, Vol. 122, 53-62, 2023
Abstract
Adaptive beamforming for multiple-input multiple-output (MIMO) radar systems suffers from performance deterioration under the scenarios with multiple random mismatches. This paper explores the theory of tensor algebra and exploits the inherent multidimensional structure of data matrix received by MIMO radar systems. For dealing with the beamforming problem induced by multiple random mismatches including steering vector error, mutual coupling, sensor position error, and coherent local scattering, we develop a robust method based on a third-order tensor in conjunction with a gradient-based optimization process. The proposed method captures the multidimensional structure information embedded in the data matrix received by a MIMO radar and produces appropriate estimates for transmit and receive signal direction vectors required for beamforming. Using a third-order tensor helps to alleviate the effect of the multiple random mismatches in the tensor data domain. The gradient-based optimization process further enhances the capabilities of the third-order tensor in estimating transmit and receive signal direction vectors for adaptive beamforming of a MIMO radar. The main computational complexity of the proposed method is dominated by a trilinear alternating least squares algorithm and the well-known gradient-based algorithm. The proposed method provides better performance than the existing robust methods. Simulation results are presented to confirm the effectiveness of the proposed method.
Citation
Ju-Hong Lee, and Wei-Chi Lee, "Tensor-Based Robust Adaptive Beamforming for Multiple-Input Multiple-Output Radar Under Random Mismatch Scenarios," Progress In Electromagnetics Research M, Vol. 122, 53-62, 2023.
doi:10.2528/PIERM23091205
References

1. Fishler, E., A. Haimovich, R. S. Blum, L. J. Cimini, D. Chizhik, and R. A. Valenzuela, "Spatial diversity in radars --- Models and detection performance," IEEE Transactions on Signal Processing, Vol. 54, No. 3, 823-838, Mar. 2006.
doi:10.1109/TSP.2005.862813

2. Bekkerman, Ilya and Joseph Tabrikian, "Target detection and localization using MIMO radars and sonars," IEEE Transactions on Signal Processing, Vol. 54, No. 10, 3873-3883, Oct. 2006.
doi:10.1109/TSP.2006.879267

3. Li, Jian, Petre Stoica, Luzhou Xu, and William Roberts, "On parameter identifiability of MIMO radar," IEEE Signal Processing Letters, Vol. 14, No. 12, 968-971, Dec. 2007.
doi:10.1109/LSP.2007.905051

4. Li, Jian and Petre Stoica, MIMO Radar Signal Processing, John Wiley $$$&$$$ Sons, New York, 2008.
doi:10.1002/9780470391488

5. Hassanien, Aboulnasr and Sergiy A. Vorobyov, "Transmit/receive beamforming for MIMO radar with colocated antennas," 2009 IEEE International Conference on Acoustics, Speech, and Signal Processing, Vol. 1- 8, 2089-2092, Apr. 19-24 2009.
doi:10.1109/ICASSP.2009.4960027

6. He, Jie, Da-Zheng Feng, Nicolas H. Younan, and Hui Lv, "Bi-capon beamforming for MIMO radar: A correlation matrix-based method," Proceedings of 2011 IEEE CIE International Conference on Radar, Vol. 1, 335-338, 2011.

7. Cheng, Sibei, Qingjun Zhang, Mingming Bian, and Xinhong Hao, "An improved adaptive received beamforming for nested frequency offset and nested array FDA-MIMO radar," Sensors, Vol. 18, No. 2, Feb. 2018.
doi:10.3390/s18020520

8. Yu, Ze, Shusen Wang, Wei Liu, and Chunsheng Li, "Joint design of space-time transmit and receive weights for colocated MIMO radar," Sensors, Vol. 18, No. 8, 2722, Aug. 2018.
doi:10.3390/s18082722

9. Chen, C.-Y., Signal processing algorithms for MIMO radar, Ph.D Thesis, Dept. Elect. Eng., California Institute of Technology, Pasadena, California, U.S.A., 2009.

10. Liao, B., K. M. Tsui, and S. C. Chan, "Robust beamforming with magnitude response constraints using iterative second-order cone programming," IEEE Transactions on Antennas and Propagation, Vol. 59, No. 9, 3477-3482, Sep. 2011.
doi:10.1109/TAP.2011.2161445

11. Yu, Zhu Liang, Zhenghui Gu, Jianjiang Zhou, Yuanqing Li, Wee Ser, and Meng Hwa Er, "A robust adaptive beamformer based on worst-case semi-definite programming," IEEE Transactions on Signal Processing, Vol. 58, No. 11, 5914-5919, Nov. 2010.
doi:10.1109/TSP.2010.2058107

12. Khabbazibasmenj, Arash, Sergiy A Vorobyov, and Aboulnasr Hassanien, "Robust adaptive beamforming based on steering vector estimation with as little as possible prior information," IEEE Transactions on Signal Processing, Vol. 60, No. 6, 2974--2987, 2012.

13. Jia, Weimin, Wei Jin, Shuhua Zhou, and Minli Yao, "Robust adaptive beamforming based on a new steering vector estimation algorithm," Signal Processing, Vol. 93, No. 9, 2539-2542, Sep. 2013.
doi:10.1016/j.sigpro.2013.03.015

14. Huang, Chia-Cheng and Ju-Hong Lee, "Robust adaptive beamforming using a fully data-dependent loading technique," Progress In Electromagnetics Research B, Vol. 37, 307--325, 2012.

15. Xiang, Cong, Da-Zheng Feng, Hui Lv, Jie He, and Yang Cao, "Robust adaptive beamforming for MIMO radar," Signal Processing, Vol. 90, No. 12, 3185-3196, Dec. 2010.
doi:10.1016/j.sigpro.2010.05.022

16. Zhang, Wei, Ju Wang, and Siliang Wu, "Robust minimum variance multiple-input multiple-output radar beamformer," IET Signal Processing, Vol. 7, No. 9, 854--862, 2013.

17. Zhang, Weiyu and Sergiy A. Vorobyov, "Joint robust transmit/receive adaptive beamforming for MIMO radar using probability-constrained optimization," IEEE Signal Processing Letters, Vol. 23, No. 1, 112-116, Jan. 2016.
doi:10.1109/LSP.2015.2504386

18. Yu, Hongbo, Dazheng Feng, and Xiaokun Yao, "Robust adaptive beamforming against large DOA mismatch with linear phase and magnitude constraints for multiple-input-multiple-output radar," IET Signal Processing, Vol. 10, No. 9, 1062-1072, Dec. 2016.
doi:10.1049/iet-spr.2015.0521

19. Qian, Junhui, Zishu He, Wei Zhang, Yulong Huang, Ning Fu, and Jonathon Chambers, "Robust adaptive beamforming for multiple-input multiple-output radar with spatial filtering techniques," Signal Processing, Vol. 143, 152-160, Feb. 2018.
doi:10.1016/j.sigpro.2017.09.004

20. Huang, Junsheng, Hongtao Su, and Yang Yang, "Low-complexity robust adaptive beamforming method for MIMO radar based on covariance matrix estimation and steering vector mismatch correction," IET Radar Sonar and Navigation, Vol. 13, No. 5, 712-720, May 2019.
doi:10.1049/iet-rsn.2018.5416

21. Huang, Junsheng, Hongtao Su, and Yang Yang, "Robust adaptive beamforming for MIMO radar in the presence of covariance matrix estimation error and desired signal steering vector mismatch," IET Radar Sonar and Navigation, Vol. 14, No. 1, 118-126, Jan. 2020.
doi:10.1049/iet-rsn.2019.0086

22. Astély, D and B Ottersten, "The effects of local scattering on direction of arrival estimation with MUSIC," IEEE Transactions on Signal Processing, Vol. 47, No. 12, 3220-3234, Dec. 1999.
doi:10.1109/78.806068

23. De Lathauwer, L, B De Moor, and J Vandewalle, "A multilinear singular value decomposition," SIAM Journal on Matrix Analysis and Applications, Vol. 21, No. 4, 1253-1278, May 16 2000.
doi:10.1137/S0895479896305696

24. Kolda, Tamara G. and Brett W. Bader, "Tensor decompositions and applications," SIAM Review, Vol. 51, No. 3, 455-500, Sep. 2009.
doi:10.1137/07070111X

25. Nion, Dimitri and Nicholas D. Sidiropoulos, "Tensor algebra and multidimensional harmonic retrieval in signal processing for MIMO radar," IEEE Transactions on Signal Processing, Vol. 58, No. 11, 5693-5705, Nov. 2010.
doi:10.1109/TSP.2010.2058802

26. Van Trees, Harry L, Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory, John Wiley $$$&$$$ Sons, 2002.
doi:10.1002/0471221104

27. Zhidong, Zheng, Zhang Jianyun, and Niu Chaoyan, "Angle estimation of bistatic MIMO radar in the presence of unknown mutual coupling," Proceedings of 2011 IEEE CIE International Conference on Radar, Vol. 1, 55--58, 2011.

28. Xu, Baoqing, Yongbo Zhao, Zengfei Cheng, and Hui Li, "A novel unitary PARAFAC method for DOD and DOA estimation in bistatic MIMO radar," Signal Processing, Vol. 138, 273-279, Sep. 2017.
doi:10.1016/j.sigpro.2017.03.016

29. Kruskal, Joseph B, "Three-way arrays: Rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics," Linear Algebra and Its Applications, Vol. 18, No. 2, 95-138, 1977.

30. Sidiropoulos, N. D., R. Bro, and G. B. Giannakis, "Parallel factor analysis in sensor array processing," IEEE Transactions on Signal Processing, Vol. 48, No. 8, 2377-2388, Aug. 2000.
doi:10.1109/78.852018

31. Du, Lin, Jian Li, and Petre Stoica, "Fully automatic computation of diagonal loading levels for robust adaptive beamforming," IEEE Transactions on Aerospace and Electronic Systems, Vol. 46, No. 1, 449-458, Jan. 2010.
doi:10.1109/TAES.2010.5417174

32. Mohammadzadeh, Saeed and Osman Kukrer, "Adaptive beamforming based on theoretical interference-plus-noise covariance and direction-of-arrival estimation," IET Signal Processing, Vol. 12, No. 7, 819-825, Sep. 2018.
doi:10.1049/iet-spr.2017.0462