Single and multiple snapshot compressive beamforming

@article{Gerstoft2015SingleAM,
  title={Single and multiple snapshot compressive beamforming},
  author={Peter Gerstoft and Angeliki Xenaki and Christoph F. Mecklenbr{\"a}uker},
  journal={The Journal of the Acoustical Society of America},
  year={2015},
  volume={138 4},
  pages={
          2003-14
        }
}
For a sound field observed on a sensor array, compressive sensing (CS) reconstructs the direction of arrival (DOA) of multiple sources using a sparsity constraint. The DOA estimation is posed as an underdetermined problem by expressing the acoustic pressure at each sensor as a phase-lagged superposition of source amplitudes at all hypothetical DOAs. Regularizing with an ℓ1-norm constraint renders the problem solvable with convex optimization, and promoting sparsity gives high-resolution DOA… 
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