Covariation-based subspace-augmented MUSIC for joint sparse support recovery in impulsive environments

  • Authors:
  • George Tzagkarakis;Panagiotis Tsakalides;Jean-Luc Starck

  • Affiliations:
  • CEA, Centre de Saclay, Orme des Merisiers, 91191 Gif-sur-Yvette Cedex, France;Institute of Computer Science (ICS), Foundation for Research & Technology-Hellas (FORTH), Vassilika Vouton, GR 70013, Crete, Greece;CEA, Centre de Saclay, Orme des Merisiers, 91191 Gif-sur-Yvette Cedex, France

  • Venue:
  • Signal Processing
  • Year:
  • 2013

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Abstract

In this paper, we introduce a subspace-augmented MUSIC technique for recovering the joint sparse support of a signal ensemble corrupted by additive impulsive noise. Our approach uses multiple vectors of random compressed measurements and employs fractional lower-order moments stemming from modeling the underlying signal statistics with symmetric alpha-stable distributions. We show through simulations that the recovery performance of the proposed method is particularly robust for a wide range of highly impulsive environments. Our subspace-augmented MUSIC achieves higher recovery rates than a recently introduced sparse Bayesian learning algorithm, which was shown to outperform many state-of-the-art techniques for joint sparse support recovery.