• DocumentCode
    1107634
  • Title

    On a conjecture of J.L.C. Sanz and T.S. Huang

  • Author

    Schlebusch, Heinz-Josef ; Splettstösser, Wolfgang

  • Author_Institution
    Technological University (RWTH) Aachen, West Germany
  • Volume
    33
  • Issue
    6
  • fYear
    1985
  • fDate
    12/1/1985 12:00:00 AM
  • Firstpage
    1628
  • Lastpage
    1630
  • Abstract
    In [1], Sanz and Huang conjectured that the DFT implementation of the Papoulis-Gerchberg algorithm for the extrapolation of band-limited signals does approach the continuous extrapolation. In this respect, we prove a result on the approximation of band-limited functions by trigonometric polynomials, simultaneously increasing their degree and the period length. This will imply that the above conjecture is indeed true.
  • Keywords
    Acoustic signal processing; Discrete Fourier transforms; Extrapolation; Fourier transforms; Polynomials; Signal processing algorithms; Speech processing;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/TASSP.1985.1164751
  • Filename
    1164751