Auto-Calibration and 2D-DOA Estimation in UCAs via an Integrated Wideband Dictionary
Abstract: In this paper, we present a novel auto-calibration scheme for the joint estimation of the two-dimensional (2-D) direction-of-arrival (DOA) and the mutual coupling matrix (MCM) for a signal measured using uniform circular arrays. The method employs an integrated wideband dictionary to mitigate the detrimental effects of the discretization of the continuous parameter space over the considered azimuth and elevation angles. This leads to a reduction of the computational complexity and obtaining of more accurate DOA estimates. Given the more reliable DOA estimates, the method also allows for the estimation of more accurate mutual coupling coefficients. The method utilizes an integrated dictionary in order to iteratively refine the active parameter space, thereby reducing the required computational complexity without reducing the overall performance. The complexity is further reduced by employing only the dominant subspace of the measured signal. Furthermore, the proposed method does not require a constraint on the prior knowledge of the number of nonzero coupling coefficients nor suffer from ambiguity problems. Moreover, a simple formulation for 2-D non-numerical integration is presented. Simulation results show the effectiveness of the proposed method.
- H. Krim and M. Viberg, “Two decades of array signal processing research: the parametric approach,” IEEE Signal Process Mag, vol. 13, no. 4, pp. 67–94, 1996.
- Y. Liu, J. Chai, Y. Zhang, Z. Liu, M. Jin, and T. Qiu, “Low-complexity neural network based doa estimation for wideband signals in massive mimo systems,” AEU- Int J Electron Commun, vol. 138, p. 153853, 2021.
- Z. Zheng and C. Yang, “Direction-of-arrival estimation of coherent signals under direction-dependent mutual coupling,” IEEE Commun Lett, vol. 25, no. 1, pp. 147–151, 2020.
- F. Mei, H. Xu, W. Cui, B. Ba, and Y. Wang, “A transformed coprime array with reduced mutual coupling for doa estimation of non-circular signals,” IEEE Access, vol. 9, pp. 125 984–125 998, 2021.
- Z. Zheng, C. Yang, W. Q. Wang, and H. C. So, “Robust doa estimation against mutual coupling with nested array,” IEEE Signal Process Lett, vol. 27, pp. 1360–1364, 2020.
- C. M. See, “Sensor array calibration in the presence of mutual coupling and unknown sensor gains and phases,” Electronics Letters, vol. 30, no. 5, pp. 373–374, 1994.
- S. Liu, L. Yang, and S. Yang, “Robust joint calibration of mutual coupling and channel gain/phase inconsistency for uniform circular array,” IEEE Anten Wirel Propag, vol. 15, pp. 1191–1195, 2015.
- W. Hu and Q. Wang, “Doa estimation for uca in the presence of mutual coupling via error model equivalence,” IEEE Wirel Comm Letter, vol. 9, no. 1, pp. 121–124, 2019.
- R. Goossens and H. Rogier, “Direction-of-arrival and polarization estimation with uniform circular arrays in the presence of mutual coupling,” AEU- Int J Electron Commun, vol. 62, no. 3, pp. 199–206, 2008.
- K. Wang, J. Yi, F. Cheng, Y. Rao, and X. Wan, “Array errors and antenna element patterns calibration based on uniform circular array,” IEEE Anten Wirel Propag, vol. 20, no. 6, pp. 1063–1067, 2021.
- G. J. Jiang, Y. N. Dong, X. P. Mao, and Y. T. Liu, “Improved 2d direction of arrival estimation with a small number of elements in uca in the presence of mutual coupling,” AEU- Int J Electron Commun, vol. 71, pp. 131–138, 2017.
- J. Zhao, J. Liu, F. Gao, W. Jia, and W. Zhang, “Gridless compressed sensing based channel estimation for uav wideband communications with beam squint,” IEEE Trans Veh Technol, vol. 70, no. 10, pp. 10 265–10 277, 2021.
- P. Stoica and P. Babu, “Sparse estimation of spectral lines: Grid selection problems and their solutions,” IEEE Trans Signal Process, vol. 60, no. 2, pp. 962–967, 2011.
- M. Wagner, Y. Park, and P. Gerstoft, “Gridless doa estimation and root-music for non-uniform linear arrays,” IEEE Trans Signal Process, vol. 69, pp. 2144–2157, 2021.
- Y. Chi and Y. Chen, “Compressive two-dimensional harmonic retrieval via atomic norm minimization,” IEEE Trans. Signal Process., vol. 63, no. 4, pp. 1030–1042, 2014.
- Z. Yang and L. Xie, “Enhancing sparsity and resolution via reweighted atomic norm minimization,” IEEE Trans. Signal Process., vol. 64, no. 4, pp. 995–1006, 2015.
- M. Butsenko, J. Swärd, and A. Jakobsson, “Estimating sparse signals using integrated wideband dictionaries,” IEEE Trans. Signal Process., vol. 66, no. 16, pp. 4170–4181, 2018.
- D. Y. Gao, B. H. Wang, and Y. Guo, “Comments on "blind calibration and doa estimation with uniform circular arrays in the presence of mutual coupling",” IEEE Anten. Wirel. Propag. Lett., vol. 5, pp. 566–568, 2006.
- J. Xie, Z. S. He, and H. Y. Li, “A fast doa estimation algorithm for uniform circular arrays in the presence of unknown mutual coupling,” Progress In Electromagnetics Research C, vol. 21, pp. 257–271, 2011.
- M. Wang, X. Ma, S. Yan, and C. Hao, “An autocalibration algorithm for uniform circular array with unknown mutual coupling,” IEEE Anten. Wirel. Propag. Lett., vol. 15, pp. 12–15, 2015.
- B. Friedlander and A. J. Weiss, “Direction finding in the presence of mutual coupling,” IEEE Trans. Anten. Propag., vol. 39, no. 3, pp. 273–284, 1991.
- M. Wax and T. Kailath, “Detection of signals by information theoretic criteria,” IEEE Trans. Acoust. Speech Signal Process., vol. 33, no. 2, pp. 387–392, 1985.
- R. Tibshirani, J. Bien, J. Friedman, T. Hastie, N. Simon, J. Taylor, and R. J. Tibshirani, “Strong rules for discarding predictors in lasso-type problems,” Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol. 74, no. 2, pp. 245–266, 2012.
- M. A. Davenport and M. B. Wakin, “Compressive sensing of analog signals using discrete prolate spheroidal sequences,” Applied and Computational Harmonic Analysis, vol. 33, no. 3, pp. 438–472, 2012.
- D. Slepian, “Prolate spheroidal wave functions, fourier analysis, and uncertainty—v: The discrete case,” Bell System Technical Journal, vol. 57, no. 5, pp. 1371–1430, 1978.
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