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Robust Joint Design of Transmit Beamforming and Receive Filter for TB-MIMO STAP Radar

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Abstract

In this paper, we consider the joint design of transmit beamforming and receive filter for transmit beamspace (TB) multiple-input multiple-output (MIMO) radar red space-time adaptive processing (STAP) under the target information uncertainty. The associated robust joint design problem is formulated by maximizing the signal-to-interference-plus-noise ratio (SINR) to guarantee the target detection performance. An iterative optimization procedure is developed to resolve the NP-hard joint design problem. The optimized transmit beamforming weight vector and receive filter exhibit superior performance in terms of output SINR. Several simulation examples are presented to demonstrate the effectiveness of the proposed algorithm.

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Data Availability

The datasets generated during the current study are not publicly available due to the laboratory regulations but are available from the corresponding author on reasonable request.

References

  1. Bekkerman, I., & Tabrikian, J. (2006). Target detection and localization using MIMO radars and sonars. IEEE Transactions on Signal Processing, 54(10), 3873–3883.

    Article  Google Scholar 

  2. He, Q., Lehmann, N. H., Blum, R. S., & Haimovich, A. M. (2010). MIMO radar moving target detection in homogeneous clutter. IEEE Transactions on Aerospace and Electronic Systems, 46(3), 1290–1301.

    Article  Google Scholar 

  3. Hassanien, A., & Vorobyov, S. A. (2011). Transmit energy focusing for DOA estimation in MIMO radar with colocated antennas. IEEE Transactions on Signal Processing, 59(6), 2669–2682.

    Article  MathSciNet  Google Scholar 

  4. Khabbazibasmenj, A., Hassanien, A., Vorobyov, S. A., & Morency, M. W. (2014). Efficient transmit beamspace design for search-free based DOA estimation in MIMO radar. IEEE Transactions on Signal Processing, 62(6), 1490–1500.

    Article  MathSciNet  Google Scholar 

  5. Xu, J., Liao, G., Zhu, S., Huang, L., & So, H. S. (2015). Joint range and angle estimation using MIMO radar with frequency diverse array. IEEE Transactions on Signal Processing, 63(13), 3396–3410.

    Article  MathSciNet  Google Scholar 

  6. Xu, J., Liao, G., Zhang, Y., Li, H., & Huang, L. (2017). An adaptive range-angle-Doppler processing approach for FDA-MIMO radar using three-dimensional localization. IEEE Journal of Selected Topics in Signal Processing, 11(2), 309–320.

    Article  Google Scholar 

  7. Geng, Z., Deng, H., & Himed, B. (2015). Adaptive radar beamforming for interference mitigation in radar-wireless spectrum sharing. IEEE Signal Processing Letters, 22(4), 484–488.

    Article  Google Scholar 

  8. Li, Z., Zhang, Y., Ge, Q., & Guo, Y. (2019). Middle subarray interference covariance matrix reconstruction approach for robust adaptive beamforming with mutual coupling. IEEE Communications Letters, 23(4), 664–667.

    Article  Google Scholar 

  9. Chen, C. Y., & Vaidyanathan, P. P. (2007). MIMO radar space time adaptive processing using prolate spheroidal wave functions. IEEE Transactions on Signal Processing, 56, 623–635.

    Article  MathSciNet  Google Scholar 

  10. Tang, B., & Tang, J. (2016). Joint design of transmit waveforms and receive filters for MIMO radar space-time adaptive processing. IEEE Transactions on Signal Processing, 64(18), 4707–4722.

    Article  MathSciNet  Google Scholar 

  11. Ahmed, S., Thompson, J. S., Petilllot, Y. R., & Mulgrew, B. (2011). Unconstrained synthesis of covariance matrix for MIMO radar transmit beampattern. IEEE Transactions on Signal Processing, 59(8), 3837–3849.

    Article  MathSciNet  Google Scholar 

  12. Cheng, Z., He, Z., Zhang, S., & Li, J. (2017). Constant modulus waveform design for mimo radar transmit beampattern. IEEE Transactions on Signal Processing, 65(18), 4912–4923.

    Article  MathSciNet  Google Scholar 

  13. Yu, X., Cui, G., Yang, J., & Kong, L. (2019). Wideband MIMO radar beampattern shaping with space-frequency nulling. Signal Processing, 160, 80–87.

    Article  Google Scholar 

  14. Fan, W., Liang, J., Yu, G., So, H. C., & Lu, G. (2019). MIMO radar waveform design for quasi-equiripple transmit beampattern synthesis via weighted lp-minimization. IEEE Transactions on Signal Processing, 67(13), 3397–3411.

    Article  MathSciNet  Google Scholar 

  15. Cui, G., Li, H., & Rangaswamy, M. (2014). MIMO radar waveform design with constant modulus and similarity constraints. IEEE Transactions on Signal Processing, 62(2), 343–353.

    Article  MathSciNet  Google Scholar 

  16. Imani, S., Bolhasani, M., Ghorashi, S. A., & Rashid, M. (2018). Waveform desing in MIMO radar using radial point interpolation method. IEEE Communications Letters, 22(10), 2076–2079.

    Article  Google Scholar 

  17. Alaee-Kerharoodi, M., Bhavani, S. M. R., Mishra, K. V., & Ottersten, B. (May 2020). Information theoretic approach for waveform design in coexisting MIMO radar and MIMO communications. In Proceedings of the IEEE international conference on acoustics, speech, & signal processing (ICASSP).

  18. Kim, J.-H., Younis, M., Moreira, A., & Wiesbeck, W. (2015). Spaceborne MIMO synthetic aperture radar for multimodal operation. IEEE Transactions on Geoscience and Remote Sensing, 53(5), 2453–2466.

    Article  Google Scholar 

  19. Li, H., & Himed, B. (2010). Transmit subaperturing for MIMO radars with colocated antennas. IEEE Journal of Selected Topics in Signal Processing, 4(1), 55–65.

    Article  Google Scholar 

  20. Liu, J., Li, H., & Himed, B. (2014). Joint optimization of transmit and receive beamforming in active arrays. IEEE Signal Processing Letters, 21(1), 39–42.

    Article  Google Scholar 

  21. Zhou, J., Li, H., & Cui, W. (2019). Joint design of transmit and receive beamforming for transmit subaperturing MIMO radar. IEEE Signal Processing Letters, 26(11), 1648–1652.

    Article  Google Scholar 

  22. Gao, Y., Li, H., & Himed, B. (2017). Joint transmit and receive beamforming for hybrid active-passive radar. IEEE Signal Processing Letters, 24(6), 779–783.

    Article  Google Scholar 

  23. Li, Y., Vorobyov, S. A., & Koivunen, V. (2015). Ambiguity function of the transmit beamspace-based MIMO radar. IEEE Transactions on Signal Processing, 63(17), 4445–4457.

    Article  MathSciNet  Google Scholar 

  24. Cheng, Z., Liao, B., He, Z., Li, J., & Xie, J. (2019). Joint design of the transmit and receive beamforming in MIMO radar systems. IEEE Transactions on Vehicular Technology, 68(8), 7919–7930.

    Article  Google Scholar 

  25. Cui, G., Yu, X., Carotenuto, V., & Kong, L. (2017). Space-time transmit code and receive filter design for colocated MIMO radar. IEEE Transactions on Signal Processing, 65(5), 1116–1129.

    Article  MathSciNet  Google Scholar 

  26. Ward, J. (1994). Space-Time Adaptive Processing for Airborne Radar MIT Lincoln Lab., Lexington, MA, Tech. Rep. 1015.

  27. O’Rourke, S. M., Setlur, P., Rangaswamy, M., & Lee Swindlehurst, A. (2018). Relaxed biquadratic optimization for joint filter-signal design in signal-dependent STAP. IEEE Transactions on Signal Processing, 66(5), 1300–1315.

    Article  MathSciNet  Google Scholar 

  28. O’Rourke, S. M., Setlur, P., Rangaswamy, M., & Lee Swindlehurst, A. (2020). Quadratic semidefinite programming for waveform-constrained joint filter-signal design in STAP. IEEE Transactions on Signal Processing, 68, 1744–1759.

    Article  MathSciNet  Google Scholar 

  29. Shi, S., He, Z., & Wang, Z. (2019). Joint design of transmitting waveforms and receiving filter for MIMO-STAP airborne radar. Circuits, Systems, and Signal Processing, 39, 1489–1508.

    Article  Google Scholar 

  30. Li, J., Liao, G., Hang, Y., Zhang, Z., & Nehorai, A. (2020). Riemannian geometric optimization methods for joint design of transmit sequence and receive filter on MIMO radar. IEEE Transactions on Signal Processing, 68, 5602–5616.

    Article  MathSciNet  Google Scholar 

  31. Tang, B., Tuck, J., & Stoica, P. (2020). Polyphase waveform design for MIMO radar space time adaptive processing. IEEE Transactions on Signal Processing, 68, 2170–2181.

    Article  MathSciNet  Google Scholar 

  32. Sun, G., He, Z., Tong, J., Yu, X., & Shi, S. (2021). Mutual information-based waveform design for MIMO radar space-time adaptive processing. IEEE Transactions on Geoscience and Remote Sensing, 59(4), 2909–2921.

    Article  Google Scholar 

  33. Wang, Y., Li, W., Sun, Q., & Huang, G. (2017). Robust joint design of transmit waveform and receive filter for MIMO radar space-time adaptive processing with signal-dependent interferences. IET Radar, Sonar & Navigation, 11(8), 1321–1332.

    Article  Google Scholar 

  34. Li, Z., Tang, B., Zhou, Q., & Shi, J. (2022). Maximin joint design of transmit waveform and receive filter bank for MIMO-STAP radar under target uncertainties. IEEE Signal Processing Letters, 29, 79–183.

    Google Scholar 

  35. Zhou, Q., Li, Z., Shi, J., & Mao, Y. (2020). Robust cognitive transmit waveform and receive filter design for airborne MIMO radar in signal-dependent clutter environment. Digital Signal Processing, 101, 1–15.

    Article  Google Scholar 

  36. Li, Z., Shi, J., Liu, W., Pan, J., & Li, B. (2022). Robust joint design of transmit waveform and receive filter for MIMO-STAP radar under target and clutter uncertainties. IEEE Transactions on Vehicular Technology, 71(2), 1156–1171.

    Article  Google Scholar 

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grants 61901511, 62001510, and 62001479, and in part by the Natural Science Basic Research Plan in Shaanxi Province of China under Grant 2020JQ-478, and in part by the Anhui Provincial Natural Science Foundation under Grant 2108085QF257, and in part by the Research Program of National University of Defense Technology under Grants ZK19-10, ZK19-28 and ZK20-33.

Funding

This work was supported in part by the National Natural Science Foundation of China under Grants 61901511, 62001510, and 62001479, and in part by the Natural Science Basic Research Plan in Shaanxi Province of China under Grant 2020JQ-478, and in part by the Anhui Provincial Natural Science Foundation under Grant 2108085QF257, and in part by the Research Program of National University of Defense Technology under Grants ZK19-10, ZK19-28 and ZK20-33.

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Authors and Affiliations

  1. College of Electronic Engineering, National University of Defense Technology, Hefei, 230037, China

    Qingsong Zhou, Zhihui Li, Yunxiang Mao & Dongming Wu

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  1. Qingsong Zhou
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  2. Zhihui Li
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  3. Yunxiang Mao
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  4. Dongming Wu
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Contributions

ZL, and QZ contributed to the study conception and design. Material preparation, data collection and analysis were performed by ZL and QZ. The first draft of the manuscript was written by ZL and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Zhihui Li.

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The authors declared that there is no conflict of interests regarding the publication of this paper. We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.

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Zhou, Q., Li, Z., Mao, Y. et al. Robust Joint Design of Transmit Beamforming and Receive Filter for TB-MIMO STAP Radar. Wireless Pers Commun 125, 3727–3740 (2022). https://doi.org/10.1007/s11277-022-09733-8

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