Robust adaptive beamforming using a novel signal power estimation algorithm

Abstract Recently, many robust adaptive beamforming (RAB) methods based on covariance matrix reconstruction have been proposed. Motivated by the idea, in this paper, a novel and efficient signal power estimator is devised to reconstruct the interference-plus-noise covariance (INC) matrix, with the corresponding RAB algorithm proposed. Firstly, the steering vectors of the incoming sources are derived using the Capon spatial spectrum and known array geometry. Secondly, a set of linear equations is established based on the signal subspace projection, from which the powers of the incoming sources are estimated. Based on the presumed angular sector of the signal-of-interest (SOI), the steering vectors and powers of the SOI and interferences are distinguished, and the INC matrix is then reconstructed. Finally, the beamformer is determined by the estimated INC matrix and SOI steering vector. The proposed algorithm is computationally more efficient than other reconstruction-based methods because there are closed-form solutions for the signal powers. Simulation results indicate that our proposed algorithm performs better than the existing methods at high signal-to-noise ratios (SNRs), and achieves nearly optimal performance across a wide range of SNR.

[1]  Jian Li,et al.  Doubly constrained robust Capon beamformer , 2004, IEEE Transactions on Signal Processing.

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

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

[4]  Wen-Qin Wang,et al.  Covariance Matrix Reconstruction With Interference Steering Vector and Power Estimation for Robust Adaptive Beamforming , 2018, IEEE Transactions on Vehicular Technology.

[5]  Petre Stoica,et al.  Approximate maximum likelihood estimators for array processing in multiplicative noise environments , 2000, IEEE Trans. Signal Process..

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

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

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

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

[10]  Yonina C. Eldar,et al.  Doubly Constrained Robust Capon Beamformer With Ellipsoidal Uncertainty Sets , 2007, IEEE Transactions on Signal Processing.

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

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

[13]  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.

[14]  Marius Pesavento,et al.  One- and two-dimensional direction-of-arrival estimation: An overview of search-free techniques , 2010, Signal Process..

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

[16]  Sergiy A. Vorobyov,et al.  On the Relationship Between Robust Minimum Variance Beamformers With Probabilistic and Worst-Case Distortionless Response Constraints , 2008, IEEE Transactions on Signal Processing.

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

[18]  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..

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

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

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

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

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

[24]  Feng Shen,et al.  Robust Adaptive Beamforming Based on Steering Vector Estimation and Covariance Matrix Reconstruction , 2015, IEEE Communications Letters.

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

[26]  Stephen P. Boyd,et al.  Robust minimum variance beamforming , 2005, IEEE Transactions on Signal Processing.

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

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

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

[30]  Shibo He,et al.  A Robust and Efficient Algorithm for Coprime Array Adaptive Beamforming , 2017, IEEE Transactions on Vehicular Technology.

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

[32]  Thia Kirubarajan,et al.  Robust Beamforming by Linear Programming , 2014, IEEE Transactions on Signal Processing.

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

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

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

[36]  Yuping Zhang,et al.  Robust adaptive beamforming based on the effectiveness of reconstruction , 2016, Signal Process..

[37]  Lu Gan,et al.  Robust adaptive beamforming via a novel subspace method for interference covariance matrix reconstruction , 2017, Signal Process..

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

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

[40]  Nikos D. Sidiropoulos,et al.  Convex Optimization-Based Beamforming , 2010, IEEE Signal Processing Magazine.

[41]  Jian Li,et al.  On robust Capon beamforming and diagonal loading , 2003, IEEE Trans. Signal Process..

[42]  Zhi Zheng,et al.  Robust Adaptive Beamforming via Simplified Interference Power Estimation , 2019, IEEE Transactions on Aerospace and Electronic Systems.

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

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

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