Robust adaptive beamforming using variable loading

It is well known that the performance of adaptive beamformers may degrade in the presence of steering errors or lack of training data. Diagonal loading of the sample covariance matrix is a popular technique applied to the minimum variance/minimum power distortionless response beamformer to increase robustness of the array system. However, this technique induces a trade-off between sidelobe suppression and the ability of the beamformer to adaptively cancel interference and reduce noise. Here we propose a new algorithm employing variable loading of the sample covariance matrix eigenvalues, which we show along with the standard diagonal loading technique to be a special case of a more general rational approximation problem. We also present an online implementation having computational complexity comparable to conventional methods, which in turn allows the weight vector to be efficiently updated. Simulation results indicate that in comparison with standard diagonal loading techniques, the proposed method exhibits enhanced robustness and performance.

[1]  Mati Wax,et al.  Performance analysis of the minimum variance beamformer , 1996, IEEE Trans. Signal Process..

[2]  Xavier Mestre,et al.  Finite sample size effect on minimum variance beamformers: optimum diagonal loading factor for large arrays , 2006, IEEE Transactions on Signal Processing.

[3]  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)..

[4]  P. Stoica,et al.  Decoupled estimation of DOA and angular spread for spatially distributed sources , 1999 .

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

[6]  John K. Thomas,et al.  The probability of a subspace swap in the SVD , 1995, IEEE Trans. Signal Process..

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

[8]  Petre Stoica,et al.  Performance breakdown of subspace-based methods: prediction and cure , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[9]  H. V. Trees Detection, Estimation, And Modulation Theory , 2001 .

[10]  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..