Multi-Rank Adaptive Beamforming with Linear and Quadratic Constraints

Extensions of MVDR and Capon estimation techniques are presented for the situation in which the signal is either rank-one of unknown orientation in a subspace or multi-rank. Only signal-plus-noise snapshots are available. The relationships among linearly and quadratically-constrained approaches are clarified and a unified treatment is given that includes both direct and sidelobe canceller architectures. The unifying component is the multi-rank MVDR beamformer followed by post processing. Detection statistics are presented for the situation in which there is no signal-free training data. Simulations are used to compare rank-one and multi-rank performance.

[1]  L. J. Griffiths,et al.  An alternative approach to linearly constrained adaptive beamforming , 1982 .

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

[3]  N. R. Goodman,et al.  Probability distributions for estimators of the frequency-wavenumber spectrum , 1970 .

[4]  O. Besson,et al.  Adaptive Detection of a Signal Known Only to Lie on a Line in a Known Subspace, When Primary and Secondary Data are Partially Homogeneous , 2006, IEEE Transactions on Signal Processing.

[5]  W. Drongelen,et al.  Localization of brain electrical activity via linearly constrained minimum variance spatial filtering , 1997, IEEE Transactions on Biomedical Engineering.

[6]  L. Scharf,et al.  Matched direction detectors and estimators for array processing with subspace steering vector uncertainties , 2005, IEEE Transactions on Signal Processing.

[7]  H. Cox.  Resolving power and sensitivity to mismatch of optimum array processors , 1973 .

[8]  H. Cox.  Line Array Performance When the Signal Coherence is Spatially Dependent , 1973 .

[9]  Olivier Besson,et al.  CFAR matched direction detector , 2006, IEEE Transactions on Signal Processing.

[10]  Henry Cox.  Sensitivity Considerations in Adaptive Beamforming , 1972 .

[11]  D. A. Abraham,et al.  Beamforming With Dominant Mode Rejection , 1990, Conference Proceedings on Engineering in the Ocean Environment.

[12]  A. Pezeshki,et al.  Multi-Rank Adaptive Beamforming , 2005, IEEE/SP 13th Workshop on Statistical Signal Processing, 2005.

[13]  A. Pezeshki,et al.  Multi-rank Capon beamforming , 2004, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004..