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Robust DOA Estimator Against Mutual Coupling Using One-Bit Sampling

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Abstract

In this paper, we address the problem of direction-of-arrival (DOA) estimation using one-bit sampling in the presence of unknown mutual coupling. Firstly we reconstruct the normalized covariance matrix by utilizing the arcsine law. Subsequently, we construct single measurement vector model by employing matrix transformation and vectorizing the reconstructed normalized covariance matrix. Finally, we estimate the source DOAs by formulating a reweighted group sparse recovery problem. Based on the characteristics of one-bit quantized data, a low-complexity method is also provided to calculate the covariance matrix of one-bit measurements. Numerical results show that the proposed algorithm is obviously superior to the existing approaches.

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References

  1. O. Bar-Shalom, A.J. Weiss, DOA estimation using one-bit quantized measurements. IEEE Trans. Aerosp. Electron. Syst. 38(3), 868–884 (2002)

    Article  ADS  Google Scholar 

  2. S. Cai, A normalized spatial spectrum for DOA estimation with uniform linear arrays in the presence of unknown mutual coupling, in Proceedings of the IEEE International Conference on on Acoustics, Speech and Signal Processing (Shanghai, 2016), pp. 3086–3090

  3. J. Dai, X. Bao, N. Hu, C. Chang, W. Xu, A recursive RARE algorithm for DOA estimation with unknown mutual coupling. IEEE Antennas Wirel. Propag. Lett. 13, 1593–1596 (2014)

    Article  ADS  Google Scholar 

  4. J. Dai, W. Xu, D. Zhao, Real-valued DOA estimation for uniform linear array with unknown mutual coupling. Signal Process. 92(9), 2056–2065 (2012)

    Article  Google Scholar 

  5. J. Dai, D. Zhao, X. Ji, A sparse representation method for DOA estimation with unknown mutual coupling. IEEE Antennas Wirel. Propag. Lett. 11, 1210–1213 (2012)

    Article  ADS  Google Scholar 

  6. B. Friedlander, A.J. Weiss, Direction finding in the presence of mutual coupling. IEEE Trans. Antennas Propag. 39(3), 273–284 (1991)

    Article  ADS  Google Scholar 

  7. X. Huang, S. Bi, B. Liao, Direction-of-arrival estimation based on quantized matrix recovery. IEEE Commun. Lett. 24(2), 349–353 (2020)

    Article  Google Scholar 

  8. X. Huang, B. Liao, One-bit MUSIC. IEEE Signal Process. Lett. 26(7), 961–965 (2019)

    Article  ADS  Google Scholar 

  9. G. Jacovitti, A. Neri, Estimation of the autocorrelation function of complex Gaussian stationary processes by amplitude clipped signals. IEEE Trans. Inf. Theory 40(1), 239–245 (1994)

    Article  Google Scholar 

  10. L. Jacques, J.N. Laska, P.T. Boufounos, R.G. Baraniuk, Robust 1-bit compressive sensing via binary stable embeddings of sparse vectors. IEEE Trans. Inf. Theory 59(4), 2082–2102 (2013)

    Article  MathSciNet  Google Scholar 

  11. D. Li, Y. Jiang, X. Wu, W. Zhu, A gridless method for DOA estimation under the coexistence of mutual coupling and unknown nonuniform noise, in Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM) (Hangzhou, 2020), pp. 1–5

  12. B. Liao, S.C. Chan, A cumulant-based method for direction finding in uniform linear arrays with mutual coupling. IEEE Antennas Wirel. Propag. Lett. 13, 1717–1720 (2014)

    Article  ADS  Google Scholar 

  13. B. Liao, Z.-G. Zhang, S.-C. Chan, DOA estimation and tracking of ULAs with mutual coupling. IEEE Trans. Aerosp. Electron. Syst 48(1), 891–905 (2012)

    Article  ADS  Google Scholar 

  14. C. Liu, P.P. Vaidyanathan, One-bit sparse array DOA estimation, in Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (New Orleans, 2017) pp. 3126–3130

  15. X. Meng, J. Zhu, A generalized sparse Bayesian learning algorithm for 1-bit DOA estimation. IEEE Commun. Lett. 22(7), 1414–1417 (2018)

    Article  Google Scholar 

  16. P. Pal, P.P. Vaidyanathan, On application of LASSO for sparse support recovery with imperfect correlation awareness, in Proceedings of the 46th Asilomar Conference on Signals, Systems and Computers (Pacific Grove, 2012), pp. 958–962

  17. M.J. Pelgrom, Analog-to-Digital Conversion (Springer, New York, 2013)

    Book  Google Scholar 

  18. R. Schmidt, Multiple emitter location and signal parameter estimation. IEEE Trans. Antennas Propag. 34(3), 276–280 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  19. S. Sedighi, M.R.B. Shankar, M. Soltanalian, B. Ottersten, DoA estimation using low-resolution multi-bit sparse array measurements. IEEE Signal Process. Lett. 28, 1400–1404 (2021)

    Article  ADS  Google Scholar 

  20. Q. Wang, T. Dou, H. Chen, W. Yan, W. Liu, Effective block sparse representation algorithm for DOA estimation with unknown mutual coupling. IEEE Commun. Lett. 21(12), 2622–2625 (2017)

    Article  Google Scholar 

  21. X. Wang, D. Meng, M. Huang, L. Wan, Reweighted regularized sparse recovery for DOA estimation with unknown mutual coupling. IEEE Commun. Lett. 23(2), 290–293 (2019)

    Article  Google Scholar 

  22. Y. Wang, L. Wang, J. Xie, M. Trinkle, B.W.-H. Ng, DOA estimation under mutual coupling of uniform linear arrays using sparse reconstruction. IEEE Wirel. Commun. Lett. 8(4), 1004–1007 (2019)

    Article  Google Scholar 

  23. Q. Wang, X. Wang, H. Chen, DOA estimation algorithm for strictly noncircular sources with unknown mutual coupling. IEEE Commun. Lett. 23(12), 2215–2218 (2019)

    Article  Google Scholar 

  24. Z. Wei, W. Wang, F. Dong, Q. Liu, Gridless one-bit direction-of-arrival estimation via atomic norm denoising. IEEE Commun. Lett. 24(10), 2177–2181 (2020)

    Article  Google Scholar 

  25. Y. Xu, Z. Zheng, W.-Q. Wang, Block sparse recovery approach for DOA estimation in nested array with unknown mutual coupling. Circuits Syst. Signal Process. 42, 1–12 (2023)

    Article  CAS  Google Scholar 

  26. Z. Ye, J. Dai, X. Xu, X. Wu, DOA estimation for uniform linear array with mutual coupling. IEEE Trans. Aerosp. Electron. Syst. 45(1), 280–288 (2009)

    Article  ADS  Google Scholar 

  27. K. Yu, Y.D. Zhang, M. Bao, Y. Hu, Z. Wang, DOA estimation from one-bit compressed array data via joint sparse representation. IEEE Signal Process. Lett. 23(9), 1279–1283 (2016)

    Article  ADS  Google Scholar 

  28. X. Zhang, T. Jiang, Y. Li, Y. Zakharov, A novel block sparse reconstruction method for DOA estimation with unknown mutual coupling. IEEE Commun. Lett. 23(10), 1845–1848 (2019)

    Article  Google Scholar 

  29. Z. Zheng, C. Yang, W.-Q. Wang, H.C. So, Robust DOA estimation against mutual coupling with nested array. IEEE Signal Process. Lett. 27, 1360–1364 (2020)

    Article  ADS  Google Scholar 

  30. Z. Zheng, N. Guo, W.-Q. Wang, Angle estimation for bistatic MIMO radar using one-bit sampling via atomic norm minimization. IEEE Trans. Aerosp. Electron. Syst. 58(6), 5815–5822 (2022)

    Article  ADS  Google Scholar 

  31. Z. Zheng, Y. Huang, W.-Q. Wang, H.C. So, Augmented covariance matrix reconstruction for DOA estimation using difference coarray. IEEE Trans. Signal Process. 69, 5345–5358 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  32. C. Zhou, Y. Gu, Z. Shi, M. Haardt, Direction-of-arrival estimation for coprime arrays via coarray correlation reconstruction: a one-bit perspective, in Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM) (Hangzhou, 2020) pp. 1–4

  33. C. Zhou, Y. Gu, Z. Shi, M. Haardt, Structured Nyquist correlation reconstruction for DOA estimation with sparse arrays. IEEE Trans. Signal Process. 71, 1849–1862 (2023)

    Article  ADS  MathSciNet  Google Scholar 

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 62171089, by the Natural Science Foundation of Sichuan Province under Grant 2022NSFSC0497, by the Sichuan Science and Technology Program under Grant 2022YFG0162, by the Guangdong Basic and Applied Basic Research Foundation under Grant 2023A1515011163, and by the Science and Technology Plan Project of Huzhou city under Grant 2023GZ16.

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Authors and Affiliations

  1. Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou, 313001, China

    Ning Guo, Zhi Zheng & Wen-Qin Wang

  2. School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Ning Guo, Zhi Zheng & Wen-Qin Wang

  3. Institute of Electronic and Information Engineering of UESTC in Guangdong, Dongguan, 523808, China

    Zhi Zheng & Wen-Qin Wang

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  1. Ning Guo
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  2. Zhi Zheng
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Correspondence to Zhi Zheng.

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Guo, N., Zheng, Z. & Wang, WQ. Robust DOA Estimator Against Mutual Coupling Using One-Bit Sampling. Circuits Syst Signal Process 43, 2626–2638 (2024). https://doi.org/10.1007/s00034-023-02583-0

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