Covariance Matrix Reconstruction With Interference Steering Vector and Power Estimation for Robust Adaptive Beamforming

To ensure link reliability and signal receiving quality, robust adaptive beamforming (RAB) is vital important in mobile communications. In this paper, we propose a new RAB algorithm based on interference-plus-noise covariance (INC) matrix reconstruction and steering vector (SV) estimation. In this method, the INC matrix is reconstructed by estimating all interferences SVs and powers, as well as the noise power. The interference SVs are estimated by using the Capon spatial spectrum together with robust Capon beamforming principle, subsequently the interference powers are estimated based on the orthogonality between different signal SVs. On the other hand, the desired signal SV is estimated via maximizing the beamformer output power by solving a quadratic convex optimization problem. The proposed algorithm only needs to know in advance the array geometry and angular sector, in which the desired signal lies. Simulation results indicate that the proposed algorithm outperforms the existing RAB techniques in terms of the overall performance in cases of various mismatches.

[1]  Zhi-Quan Luo,et al.  Robust adaptive beamforming for general-rank signal models , 2003, IEEE Trans. Signal Process..

[2]  Jeffrey L. Krolik,et al.  Relationships between adaptive minimum variance beamforming and optimal source localization , 2000, IEEE Trans. Signal Process..

[3]  Rodrigo C. de Lamare,et al.  Robust Adaptive Beamforming Using a Low-Complexity Shrinkage-Based Mismatch Estimation Algorithm , 2013, IEEE Signal Processing Letters.

[4]  Lei Huang,et al.  Robust Adaptive Beamforming With a Novel Interference-Plus-Noise Covariance Matrix Reconstruction Method , 2015, IEEE Transactions on Signal Processing.

[5]  Jian Yang,et al.  Fast adaptive blind beamforming algorithm for antenna array in CDMA systems , 2006, IEEE Transactions on Vehicular Technology.

[6]  Lei Huang,et al.  Robust Adaptive Beamforming With Precise Main Beam Control , 2017, IEEE Transactions on Aerospace and Electronic Systems.

[7]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[8]  宋金阳,et al.  Robust Adaptive Beamforming Based on Steering Vector Estimation and Covariance Matrix Reconstruction. , 2015 .

[9]  K. M. Tsui,et al.  Robust Beamforming With Magnitude Response Constraints Using Iterative Second-Order Cone Programming , 2011, IEEE Transactions on Antennas and Propagation.

[10]  Wen-Qin Wang,et al.  Robust Adaptive Beamforming Against Mutual Coupling Based on Mutual Coupling Coefficients Estimation , 2017, IEEE Transactions on Vehicular Technology.

[11]  Huawei Chen,et al.  Iterative Robust Minimum Variance Beamforming , 2011, IEEE Transactions on Signal Processing.

[12]  Yujie Gu,et al.  Robust Adaptive Beamforming Based on Interference Covariance Matrix Reconstruction and Steering Vector Estimation , 2012, IEEE Transactions on Signal Processing.

[13]  Stephen P. Boyd,et al.  Disciplined Convex Programming , 2006 .

[14]  B. Carlson Covariance matrix estimation errors and diagonal loading in adaptive arrays , 1988 .

[15]  Jinho Choi,et al.  A novel adaptive beamforming algorithm for antenna array CDMA systems with strong interferers , 2002, IEEE Trans. Veh. Technol..

[16]  Bai Shi,et al.  Robust adaptive beamforming with minimum sensitivity to correlated random errors , 2017, Signal Process..

[17]  Jian Li,et al.  On robust Capon beamforming and diagonal loading , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[18]  Xiaofeng Ma,et al.  Modified projection approach for robust adaptive array beamforming , 2012, Signal Process..

[19]  Lei Huang,et al.  Robust adaptive beamforming with random steering vector mismatch , 2016, Signal Process..

[20]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[21]  Ning Ma,et al.  Adaptive beamforming with joint robustness against mismatched signal steering vector and interference nonstationarity , 2004, IEEE Signal Processing Letters.

[22]  Henry Cox,et al.  Robust adaptive beamforming , 2005, IEEE Trans. Acoust. Speech Signal Process..

[23]  LiWu Chang,et al.  Performance of DMI and eigenspace-based beamformers , 1992 .

[24]  J. Capon High-resolution frequency-wavenumber spectrum analysis , 1969 .

[25]  Sergiy A. Vorobyov,et al.  Robust Adaptive Beamforming Using Sequential Quadratic Programming: An Iterative Solution to the Mismatch Problem , 2008, IEEE Signal Processing Letters.

[26]  Zhi-Quan Luo,et al.  Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem , 2003, IEEE Trans. Signal Process..

[27]  Stephen P. Boyd,et al.  Robust minimum variance beamforming , 2003, The Thrity-Seventh Asilomar Conference on Signals, Systems & Computers, 2003.

[28]  Shing-Chow Chan,et al.  Recursive Steering Vector Estimation and Adaptive Beamforming under Uncertainties , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[29]  Sergiy A. Vorobyov,et al.  Robust Adaptive Beamforming Based on Steering Vector Estimation With as Little as Possible Prior Information , 2012, IEEE Transactions on Signal Processing.

[30]  Seungwon Choi,et al.  A novel adaptive beamforming algorithm for a smart antenna system in a CDMA mobile communication environment , 2000, IEEE Trans. Veh. Technol..

[31]  Jian Li,et al.  Fully Automatic Computation of Diagonal Loading Levels for Robust Adaptive Beamforming , 2010, IEEE Transactions on Aerospace and Electronic Systems.

[32]  Wei Liu,et al.  Interference-plus-Noise Covariance Matrix Reconstruction via Spatial Power Spectrum Sampling for Robust Adaptive Beamforming , 2016, IEEE Signal Processing Letters.

[33]  Jianjiang Zhou,et al.  A Robust Adaptive Beamformer Based on Worst-Case Semi-Definite Programming , 2010, IEEE Transactions on Signal Processing.

[34]  D. D. Feldman An analysis of the projection method for robust adaptive beamforming , 1996 .

[35]  Minghua Xia,et al.  Fast Blind Adaptive Beamforming Algorithm With Interference Suppression , 2008, IEEE Transactions on Vehicular Technology.

[36]  Mats Bengtsson,et al.  Convex Optimization-based Beamforming : From Receive to Transmit and Network Designs , 2010 .

[37]  Meixia Tao,et al.  Outage Probability and Finite-SNR Diversity–Multiplexing Tradeoff for Two-Way Relay Fading Channels , 2013, IEEE Transactions on Vehicular Technology.

[38]  Lloyd J. Griffiths,et al.  A projection approach for robust adaptive beamforming , 1994, IEEE Trans. Signal Process..

[39]  Ying Wu,et al.  Projection-based robust adaptive beamforming with quadratic constraint , 2016, Signal Process..

[40]  Yu Li,et al.  Robust adaptive beamforming based on interference covariance matrix sparse reconstruction , 2014, Signal Process..

[41]  Wee Ser,et al.  Adaptive Uncertainty Based Iterative Robust Capon Beamformer Using Steering Vector Mismatch Estimation , 2011, IEEE Transactions on Signal Processing.

[42]  Wei Jin,et al.  Robust adaptive beamforming based on a new steering vector estimation algorithm , 2013, Signal Process..

[43]  A. Elnashar,et al.  Further Study on Robust Adaptive Beamforming With Optimum Diagonal Loading , 2006, IEEE Transactions on Antennas and Propagation.

[44]  Xiaochuan Ma,et al.  Automatic Generalized Loading for Robust Adaptive Beamforming , 2009, IEEE Signal Processing Letters.