A low complexity Orthogonal Matching Pursuit for sparse signal approximation with shift-invariant dictionaries

  • Authors:
  • Boris Mailhe;Remi Gribonval;Frederic Bimbot;Pierre Vandergheynst

  • Affiliations:
  • Projet METISS, Centre de Recherche INRIA Rennes - Bretagne Atlantique, IRISA, Campus de Beaulieu, F-35042 Cedex, France;Projet METISS, Centre de Recherche INRIA Rennes - Bretagne Atlantique, IRISA, Campus de Beaulieu, F-35042 Cedex, France;Projet METISS, Centre de Recherche INRIA Rennes - Bretagne Atlantique, IRISA, Campus de Beaulieu, F-35042 Cedex, France;Signal Processing Laboratories (LTS), School of Engineering, EPFL, Station 11, CH - 1015 Lausanne, Switzerland

  • Venue:
  • ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
  • Year:
  • 2009

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Abstract

We propose a variant of Orthogonal Matching Pursuit (OMP), called LoCOMP, for scalable sparse signal approximation. The algorithm is designed for shift-invariant signal dictionaries with localized atoms, such as time-frequency dictionaries, and achieves approximation performance comparable to OMP at a computational cost similar to Matching Pursuit. Numerical experiments with a large audio signal show that, compared to OMP and Gradient Pursuit, the proposed algorithm runs in over 500 less time while leaving the approximation error almost unchanged.