• DocumentCode
    879890
  • Title

    A Fast Convergence Algorithm for Band-Limited Extrapolation by Sampling

  • Author

    Chen, Weidong

  • Author_Institution
    Dept. of Math., Univ. of Texas-Pan American, Edinburg, TX
  • Volume
    57
  • Issue
    1
  • fYear
    2009
  • Firstpage
    161
  • Lastpage
    167
  • Abstract
    In this paper, an algorithm for band-limited extrapolation is presented. This uses Shannon´s sampling theorem and Fourier series. Error analysis is given by proof. The convergence rate is much faster than that of the Papoulis-Gerchberg algorithm. The procedure of the fast convergence algorithm is described in detail. The result is demonstrated by numerical examples.
  • Keywords
    Fourier series; bandlimited signals; convergence of numerical methods; extrapolation; signal sampling; Fourier series; Papoulis-Gerchberg algorithm; Shannon sampling theorem; band-limited extrapolation; fast convergence algorithm; Band-limited signal; extrapolation; sampling;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/TSP.2008.2006582
  • Filename
    4637853