Abstract
The performance of the existing robust beamformers can be still degraded by the bias between the nominal steering vector and the actual one. In this paper, a novel robust wideband beamformer based on the time–frequency distributions is proposed, which can estimate the steering vector accurately even in the presence of direction and sensor location errors. Firstly, it develops an approach for wideband signals to select the single-source auto-source time–frequency (TF) points of the source signals. Then these TF points are utilized to obtain the steering vectors without using the perturbed array manifold and direction information. Finally, a higher output signal-to-interference-plus-noise ratio (SINR) is achieved for the minor bias between the estimated steering vectors and the actual ones. Simulation results demonstrate that the proposed algorithm outperforms other conventional robust beamforming approaches and can achieve high output SINR close to the ideal beamformer over a broad range of direction and sensor location errors.
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References
A. Aïssa-El-Bey, N. Linh-Trung, K. Abed-Meraim, A. Belouchrani, Y. Grenier, Underdetermined blind separation of non-disjoint sources in the time-frequency domain. IEEE Trans. Signal Process. 55(3), 897–907 (2007)
A. Aïssa-El-Bey, K. Abed-Meraim, Y. Grenier, Blind separation of underdetermined convolutive mixtures using their time–frequency representation. IEEE Trans. Signal Process. 15(5), 1540–1550 (2007)
Y. Bucris, I. Cohen, M.A. Doron, Bayesian focusing for coherent wideband beamforming. IEEE Trans. Audio Speech Lang. Process. 20(4), 1282–1296 (2012)
K.M. Buckley, L.J. Griffith, An adaptive generalized sidelobe canceller with derivative constraints. IEEE Trans. Antennas Propag. 34(3), 311–319 (1986)
A. Belouchrani, M.G. Amin, Blind source separation based on time-frequency signal representations. IEEE Trans. Signal Process. 46(11), 2888–2897 (1998)
B.D. Carlson, Covariance matrix estimation errors and diagonal loading in adaptive arrays. IEEE Trans. Aerosp. Electron. Syst. 24, 397–401 (1988)
M.H. Er, A. Cantoni, Derivative constraints for broad-band element space antenna array processors. IEEE Trans. Acoust. Speech Signal Process. 31(6), 1378–1393 (1983)
R. Ebrahimi, S.R. Seydnejad, Elimination of pre-steering delays in space–time broadband beamforming using frequency domain constrains. IEEE Commun. Lett. 17(4), 769–772 (2013)
O.L. Frost, An algorithm for linearly constrained adaptive array processing. Proc. IEEE 60(8), 926–935 (1972)
K.C. Huarng, C.C. Yeh, Performance analysis of derivative constraint adaptive arrays with pointing errors. IEEE Trans. Antennas Propag. 40, 975–981 (1992)
P. Hu, M.W. Shen, C. Liang, D. Wu, D.Y. Zhu, An efficient broadband beamforming algorithm based on frequency-space cascade processing. Circuits Syst. Signal Process. 37, 432–443 (2018)
W. Liu, R.J. Langley, An adaptive wideband beamforming structure with combined subband decomposition. IEEE Trans. Antennas Propag. 57(7), 2204–2207 (2009)
N. Lin, W. Liu, R.J. Langley, Performance analysis of an adaptive broadband beamformer based on a two-element linear array with sensor delay-line processing. Signal Process. 90, 269–281 (2010)
W. Liu, S. Weiss, Wideband Beamforming: Concepts and Techniques (Wiley, Chichester, 2010)
N. Linh-Trung, A. Belouchrani, K. Abed-Meraim, B. Boashash, Separating more sources than sensors using time-frequency distributions. EURASIP J. Appl. Signal Process. 17, 2828–2847 (2005)
Y.H. Luo, W.W. Wang, J.A. Chambers, S. Lambotharan, I. Proudler, Exploitation of source nonstationarity in underdetermined blind source separation with advanced clustering techniques. IEEE Trans. Signal Process. 54(6), 2198–2212 (2006)
D.Z. Peng, Y. Xiang, Underdetermined blind source separation based on relaxed sparsity condition of sources. IEEE Trans. Signal Process. 57(2), 809–814 (2009)
V.G. Reju, S.N. Koh, I.Y. Soon, Underdetermined convolutive blind source separation via time–frequency masking. IEEE Trans. Audio Speech Lang. Process. 18(1), 101–116 (2010)
I. Thng, A. Cantoni, Y.H. Leung, Constraints for maximally flat optimum broadband antenna arrays. IEEE Trans. Signal Process. 43(6), 1334–1347 (1995)
Z. Tian, K.L. Bell, H.L.V. Trees, A recursive least squares implementation for LCMP beamforming under quadratic constraint. IEEE Trans. Signal Process. 49, 1138–1145 (2001)
E.W. Vook, R.T. Compton, Bandwidth performance of linear adaptive arrays with tapped delay-line processing. IEEE Trans. Aerosp. Electron. Syst. 28(3), 901–908 (1992)
M. Zhang, M.H. Er, Robust adaptive beamforming for broadband arrays. Circuits Syt Signal Process. 16(2), 207–216 (1997)
S. Zhang, I. Thng, Robust presteering derivative constraints for broadband antenna arrays. IEEE Trans. Signal Process. 50, 1–10 (2002)
Y. Zhao, W. Liu, R.J. Langley, Adaptive wideband beamforming with frequency invariance constraints. IEEE Trans. Antennas Propag. 59(4), 1175–1184 (2011)
Y. Zhao, W. Liu, Robust wideband beamforming with frequency response variation constraint subject to arbitrary norm-bounded error. IEEE Trans. Antennas Propag. 60(5), 2566–2571 (2012)
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Funding was provided by National Natural Science Foundation of China (Grant No. 61401469).
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Liu, Y., Liu, C., Zhao, Y. et al. Robust Adaptive Wideband Beamforming Against Direction and Sensor Location Errors. Circuits Syst Signal Process 38, 664–681 (2019). https://doi.org/10.1007/s00034-018-0875-8
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DOI: https://doi.org/10.1007/s00034-018-0875-8