Abstract
In this paper, a new robust adaptive beamforming algorithm is proposed with increased attenuation of interference signals. This is achieved by reconstructing the interference-plus-noise covariance matrix using the Capon spatial power estimator. In the latter the total sample covariance matrix is replaced by its square, which is shown to enhance the interference rejection capability of the minimum variance distortionless response beamformer. Also, a new method for estimating the desired signal’s steering vector is introduced based on reconstructing the desired signal’s covariance matrix and employing the discrete Fourier transform of the correlation sequence. The effectiveness of the proposed method is demonstrated by numerical results.
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References
O. Besson, F. Vincent, P. Stoica, A.B. Gershman, Approximate maximum likelihood estimators for array processing in multiplicative noise environments. IEEE Trans. Signal Process. 48(9), 2506–2518 (2000)
J. Capon, High resolution frequency wavenumber spectrum analysis. Proc. IEEE 57(8), 1408–1418 (1969)
F. Chen, F. Shen, J. Song, Robust adaptive beamforming using low-complexity correlation coefficient calculation algorithms. IET Electron. Lett. 51(6), 443–445 (2015)
H. Cox, R. Zeskind, M. Owen, Robust adaptive beamforming. IEEE Trans. Acoust. Speech Signal Process. 35(10), 1365–1376 (1987)
L. Du, J. Li, P. Stoica, Fully automatic computation of diagonal loading levels for robust adaptive beamforming. IEEE Trans. Signal Process. 46(1), 449–458 (2010)
A. Elnashar, S.M. Elnoubi, H.A. ElMikati, Further study on robust adaptive beamforming with optimum diagonal loading. IEEE Trans. Signal Process. 54(12), 3647–3658 (2006)
M.H. Er, B. Ng, A new approach to robust beamforming in the presence of steering vector errors. IEEE Trans. Signal Process. 42(7), 1826–1829 (1994)
D.D. Feldman, L.J. Griffiths, A projection approach for robust adaptive beamforming. IEEE Trans. Signal Process. 42(4), 867–876 (1994)
A.B. Gershman, E. Nemeth, J.F. Bohme, Experimental performance of adaptive beamforming in a sonar environment with a towed array and moving interfering sources. IEEE Trans. Signal Process. 48(1), 246–250 (2000)
J. Goldberg, H. Messer, Inherent limitations in the localization of a coherently scattered source. IEEE Trans. Signal Process. 46(12), 3441–3444 (1998)
Y. Gu, A. Leshem, Robust adaptive beamforming based on interference covariance matrix reconstruction and steering vector estimation. IEEE Trans. Signal Process. 60(7), 3881–3885 (2012)
Y. Gu, N.A. Goodman, S. Hong, Y. Li, Robust adaptive beamforming based on interference covariance matrix sparse reconstruction. Signal Process. 96, 375–381 (2014)
Y. Hua, A.B. Gershman, Q. Cheng, High-Resolution and Robust Signal Processing (Marcel Dekker, New York, 2003)
F. Huang, W. Sheng, X. Ma, Modified projection approach for robust adaptive array beamforming. Signal Process. 92(7), 1758–1763 (2012)
W. Jia, W. Jin, S. Zhou, M. Yao, Robust adaptive beamforming based on a new steering vector estimation algorithm. Signal Process. 93(9), 2539–2542 (2013)
A. Khabbazibasmenj, S.A. Vorobyov, A. Hassanien, Robust adaptive beamforming based on steering vector estimation with as little as possible prior information. IEEE Trans. Signal Process. 60(6), 2974–2987 (2012)
O. Kukrer, S. Mohammadzadeh, Generalised loading algorithm for adaptive beamforming in ULAs. IET Electron. Lett. 50(13), 910–912 (2014)
C.C. Lee, J.H. Lee, Eigenspace-based adaptive array beamforming with robust capabilities. IEEE Trans. Signal Process. 45(12), 1711–1716 (1997)
X. Mestre, M.A. Lagunas, Finite sample size effect on minimum variance beamformers: optimum diagonal loading factor for large arrays. IEEE Trans. Signal Process. 54(1), 69–82 (2006)
S. Mohammadzadeh, O. Kukrer, Adaptive beamforming based on theoretical interference-plus-noise covariance and direction-of-arrival estimation. IET Signal Process. 12(7), 819–823 (2018)
S. Mohammadzadeh, O. Kukrer, Modified robust capon beamforming with approximate orthogonal projection onto the signal-plus-interference subspace. Circuits Syst. Signal Process. 37(12), 5351–5368 (2018)
V. Pisarenko, On the estimation of spectra by means of non-linear functions of the covariance matrix. Geophys. J. Int. 28(5), 11–531 (1972)
P. Stoica, O. Besson, A.B. Gershman, Direction-of-arrival estimation of an amplitude-distorted wavefront. IEEE Trans. Signal Process. 49(2), 269–276 (2001)
P. Stoica, R.L. Moses, Spectral analysis of signals, in Parametric Methods for Line Spectra, ed. by T. Robbins (Prentice Hall, New Jersey, 2005), pp. 159–163
H. Van Trees, Detection, Estimation, and Modulation Theory-Part IV Optimum Array Processing (Wiley, New York, 2002)
S.A. Vorobyov, A.B. Gershman, Z.Q. Luo, Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem. IEEE Trans. Signal Process. 51(2), 313–324 (2003)
S.A. Vorobyov, A.B. Gershman, K.M. Wong, Maximum likelihood direction-of-arrival estimation in unknown noise fields using sparse sensor arrays. IEEE Trans. Signal Process. 53(1), 34–43 (2005)
J. Xie, H. Li, Z. He, C. Li, A robust adaptive beamforming method based on the matrix reconstruction against a large DOA mismatch. EURASIP J. Adv. Signal Process. (2014). https://doi.org/10.1186/1687-6180-2014-91
X. Yuan, L. Gan, Robust adaptive beamforming via a novel subspace method for interference covariance matrix reconstruction. Signal Process. 130, 233–242 (2017)
Y. Zhang, Y. Li, M. Gao, Robust adaptive beamforming based on the effectiveness of reconstruction. Signal Process. 120, 572–579 (2016)
C. Zhou, Z. Shi, Y. Gu, Coprime array adaptive beamforming with enhanced degrees-of-freedom capability, in IEEE Conference (Radar, Seattle, 2017), pp. 1357–1361
C. Zhou, Y. Gu, S. He, Z. Shi, A robust and efficient algorithm for coprime array adaptive beamforming. IEEE Trans. Veh. Technol. 67(2), 1099–1112 (2018)
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Mohammadzadeh, S., Kukrer, O. Robust Adaptive Beamforming with Improved Interferences Suppression and a New Steering Vector Estimation Based on Spatial Power Spectrum. Circuits Syst Signal Process 38, 4162–4179 (2019). https://doi.org/10.1007/s00034-019-01051-y
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DOI: https://doi.org/10.1007/s00034-019-01051-y