• DocumentCode
    1356059
  • Title

    Minimal L1-norm reconstruction function for oversampled signals: applications to time-delay estimation

  • Author

    Fuchs, Jean-Jacques ; Delyon, Bernard

  • Author_Institution
    IRISA, Rennes, France
  • Volume
    46
  • Issue
    4
  • fYear
    2000
  • fDate
    7/1/2000 12:00:00 AM
  • Firstpage
    1666
  • Lastpage
    1673
  • Abstract
    We consider the problem of the reconstruction of an oversampled band-limited signal and obtain an explicit expression for the reconstruction function with minimal L1-norm. It has good sparseness and localization properties that recommends its use in time-delay estimation but the result may be of interest in other domains. Compared to the standard sine cardinal reconstruction function, its rate of decrease is almost one order of magnitude higher
  • Keywords
    bandlimited signals; delay estimation; signal reconstruction; signal sampling; localization properties; minimal L1-norm reconstruction function; oversampled band-limited signal; oversampled signal reconstruction; sine cardinal reconstruction function; sparseness properties; time-delay estimation; Equations; Fourier transforms; Geophysics; Interpolation; Inverse problems; Radar; Sampling methods; Signal reconstruction; Sonar;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.850713
  • Filename
    850713
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1356059