Minimum sensitivity based robust beamforming with eigenspace decomposition

An enhanced eigenspace-based beamformer (ESB) derived using the minimum sensitivity criterion is proposed with significantly improved robustness against steering vector errors. The sensitivity function is defined as the squared norm of the appropriately scaled weight vector and since the sensitivity function of an array to perturbations becomes very large in the presence of steering vector errors, it can be used to find the best projection for the ESB, irrespective of the distribution of additive noises. As demonstrated by simulation results, the proposed method has a better performance than the classic ESBs and the previously proposed uncertainty set based approach.

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

[2]  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..

[3]  Wei Liu,et al.  Robust forward backward based beamformer for a general-rank signal model with real-valued implementation , 2012, Signal Process..

[4]  Wei Liu,et al.  Robust Fixed Frequency Invariant Beamformer Design Subject to Norm-Bounded Errors , 2013, IEEE Signal Processing Letters.

[5]  Wei Zhang,et al.  Robust Capon beamforming against large DOA mismatch , 2013, Signal Process..

[6]  Yu Lei,et al.  Robust beamforming with imprecise array geometry using steering vector estimation and interference covariance matrix reconstruction , 2017, Multidimens. Syst. Signal Process..

[7]  Marius Pesavento,et al.  Maximally Robust Capon Beamformer , 2013, IEEE Transactions on Signal Processing.

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

[9]  S. D. Somasundaram,et al.  Reduced dimension robust Capon beamforming for large aperture passive sonar arrays , 2011 .

[10]  Siliang Wu,et al.  Adaptive multiple-input multiple-output radar beamforming based on direct data domain approach , 2014 .

[11]  Ying Zhang,et al.  MUSIC-Like DOA Estimation Without Estimating the Number of Sources , 2010, IEEE Transactions on Signal Processing.

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

[13]  Jian Li,et al.  Doubly constrained robust Capon beamformer , 2003, The Thrity-Seventh Asilomar Conference on Signals, Systems & Computers, 2003.

[14]  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)..

[15]  Zhiwen Liu,et al.  Adaptive tensorial beamformer based on electromagnetic vector-sensor arrays with coherent interferences , 2015, Multidimens. Syst. Signal Process..

[16]  Wei Zhang,et al.  Robust minimum variance multiple-input multiple-output radar beamformer , 2013, IET Signal Process..

[17]  Harry L. Van Trees,et al.  Optimum Array Processing , 2002 .

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

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

[20]  Boon Poh Ng,et al.  Extending the concept of IIR filtering to array processing using approximate spatial IIR structure , 2013, Multidimens. Syst. Signal Process..