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CDCNN-CMR-SV algorithm for robust adaptive wideband beamforming

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Abstract

This paper presents a robust adaptive wideband beamforming approach based on a complex-valued deep convolutional neural network (CDCNN) for solving the problem of steering vector (SV) mismatches, named as CDCNN-CMR-SV algorithm. Firstly, via the complex convolution operation and complex batch normalization process, a complex convolution–normalization layer structure is constructed, which improves the feature extraction capability of complex-valued data and the speed of network training. On this basis, a CDCNN model is constructed to improve the ability to express the complex-valued domain broadband source model. Then, the interference plus noise covariance matrix is used as the input of the CDCNN, which is reconstructed by the focusing transformation method. The desired signal SV is used as the network label of CDCNN, which is corrected by solving the quadratic programming problem. Therefore, the mapping process is realized from neural network input data to label. Finally, a broadband beamforming weight vector is solved by the desired signal SV, which is predicted by the well-trained CDCNN. Simulation results show that the proposed algorithm has excellent beamforming performance, such as accurate beam pointing and strong interference suppression ability.

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References

  1. Liu, F., et al.: Multiple constrained \(\ell _2\) -norm minimization algorithm for adaptive beamforming. IEEE Sens J 18(15), 6311–6318 (2018). https://doi.org/10.1109/JSEN.2018.2848632

    Article  Google Scholar 

  2. Lin, Z., et al.: Refracting ris-aided hybrid satellite-terrestrial relay networks: Joint beamforming design and optimization. IEEE Trans. Aerosp. Electron. Syst. 58(4), 3717–3724 (2022). https://doi.org/10.1109/TAES.2022.3155711

    Article  Google Scholar 

  3. Lin, Z.: et al. Slnr-based secure energy efficient beamforming in multibeam satellite systems. IEEE Trans. Aerosp. Electron. Syst. 1–4 (2022). https://doi.org/10.1109/TAES.2022.3190238

  4. Huang, Y., Zhou, M., Vorobyov, S.A.: New designs on mvdr robust adaptive beamforming based on optimal steering vector estimation. IEEE Trans. Signal Process. 67(14), 3624–3638 (2019). https://doi.org/10.1109/TSP.2019.2918997

    Article  MathSciNet  MATH  Google Scholar 

  5. Zhao, Y., Liu, W., Langley, R.J.: Adaptive wideband beamforming with frequency invariance constraints. IEEE Trans. Antennas Propag. 59(4), 1175–1184 (2011). https://doi.org/10.1109/TAP.2011.2110630

    Article  MathSciNet  MATH  Google Scholar 

  6. Yang, X., Li, S., Sun, Y., Long, T., Sarkar, T.K.: Robust wideband adaptive beamforming with null broadening and constant beamwidth. IEEE Trans. Antennas Propag. 67(8), 5380–5389 (2019). https://doi.org/10.1109/TAP.2019.2916607

    Article  Google Scholar 

  7. Hassanien, A., Vorobyov, S.A., Wong, K.M.: Robust adaptive beamforming using sequential quadratic programming: an iterative solution to the mismatch problem. IEEE Signal Process. Lett. 15, 733–736 (2008). https://doi.org/10.1109/LSP.2008.2001115

    Article  Google Scholar 

  8. Zhang, J., Su, Q., Tang, B., Wang, C., Li, Y.: Dpsnet: Multitask learning using geometry reasoning for scene depth and semantics. IEEE Trans. Neural Netw. Learn. Syst. 1–12 (2021). https://doi.org/10.1109/TNNLS.2021.3107362

  9. Kikuchi, H., Yoshikawa, E., Ushio, T., Hobara, Y.: Clutter reduction for phased-array weather radar using diagonal capon beamforming with neural networks. IEEE Geosci. Remote Sens. Lett. 17(12), 2065–2069 (2020). https://doi.org/10.1109/LGRS.2019.2962558

    Article  Google Scholar 

  10. Ramezanpour, P., Mosavi, M.-R.: Two-stage beamforming for rejecting interferences using deep neural networks. IEEE Syst. J. 15(3), 4439–4447 (2021). https://doi.org/10.1109/JSYST.2020.3034957

    Article  Google Scholar 

  11. Ramezanpour, P., Rezaei, M.J., Mosavi, M.R.: Deep-learning-based beamforming for rejecting interferences. IET Signal Proc. 14(7), 467–473 (2020). https://doi.org/10.1049/iet-spr.2019.0495

    Article  Google Scholar 

  12. Yang, X., Li, S., Liu, Q., Long, T., Sarkar, T.K.: Robust wideband adaptive beamforming based on focusing transformation and steering vector compensation. IEEE Antennas Wirel. Propag. Lett. 19(12), 2280–2284 (2020). https://doi.org/10.1109/LAWP.2020.3029950

    Article  Google Scholar 

  13. Khabbazibasmenj, A., Vorobyov, S.A., Hassanien, A.: Robust adaptive beamforming based on steering vector estimation with as little as possible prior information. IEEE Trans. Signal Process. 60(6), 2974–2987 (2012). https://doi.org/10.1109/TSP.2012.2189389

    Article  MathSciNet  MATH  Google Scholar 

  14. Elbir, A.M.: Cnn-based precoder and combiner design in mmwave mimo systems. IEEE Commun. Lett. 23(7), 1240–1243 (2019). https://doi.org/10.1109/LCOMM.2019.2915977

    Article  Google Scholar 

  15. Zhu, X., Xu, X., Ye, Z.: Robust adaptive beamforming via subspace for interference covariance matrix reconstruction. Signal Process. 167, 107289 (2020). https://doi.org/10.1016/j.sigpro.2019.107289

    Article  Google Scholar 

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Funding

This work was supported by the National Natural Science Foundation of China (Grant No. 61971117) and by the Natural Science Foundation of Hebei Province (Grant No. F2020501007).

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Xiaodan Chen, Hao Qin and Ruiyan Du wrote the main manuscript text. All authors reviewed the manuscript.

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Correspondence to Ruiyan Du, Hao Qin or Fulai Liu.

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Du, R., Chen, X., Qin, H. et al. CDCNN-CMR-SV algorithm for robust adaptive wideband beamforming. SIViP 17, 2137–2143 (2023). https://doi.org/10.1007/s11760-022-02428-4

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  • DOI: https://doi.org/10.1007/s11760-022-02428-4

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