Signal reconstruction in sensor arrays using sparse representations

  • Authors:
  • Dmitri Model;Michael Zibulevsky

  • Affiliations:
  • Technion--Israel Institute of Technology, Electrical Engineering Department, Haifa, Israel;Technion--Israel Institute of Technology, Electrical Engineering Department, Haifa, Israel

  • Venue:
  • Signal Processing - Sparse approximations in signal and image processing
  • Year:
  • 2006

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Abstract

We propose a technique of multisensor signal reconstruction based on the assumption, that source signals are spatially sparse, as well as have sparse representation in a chosen dictionary in time domain. This leads to a large scale convex optimization problem, which involves combined l1-l2 norm minimization. The optimization is carried by the truncated Newton method, using preconditioned conjugate gradients in inner iterations. The byproduct of reconstruction is the estimation of source locations.