• DocumentCode
    773658
  • Title

    Equivalence of Reconstruction From the Absolute Value of the Frame Coefficients to a Sparse Representation Problem

  • Author

    Balan, Radu ; Casazza, Pete ; Edidin, Dan

  • Author_Institution
    Siemens Corp. Res. Inc., Princeton, NJ
  • Volume
    14
  • Issue
    5
  • fYear
    2007
  • fDate
    5/1/2007 12:00:00 AM
  • Firstpage
    341
  • Lastpage
    343
  • Abstract
    The purpose of this letter is to prove, for real frames, that signal reconstruction from the absolute value of the frame coefficients is equivalent to solution of a sparse signal optimization problem, namely a minimum lscrp (quasi)norm over a linear constraint. This linear constraint reflects the coefficients relationship within the range of the analysis operator
  • Keywords
    optimisation; signal reconstruction; signal representation; sparse matrices; absolute value; frame coefficient; linear constraint; reconstruction equivalence; signal optimization problem; signal reconstruction; sparse representation; Constraint optimization; Fast Fourier transforms; Hilbert space; Mathematics; Matrix decomposition; Signal reconstruction; Signal resolution; Sparse matrices; Sufficient conditions; Topology; Frames; nonlinear processing; sparse representation;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2006.888296
  • Filename
    4154720
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=773658