• DocumentCode
    1210488
  • Title

    Rapidly converging sample weighting functions

  • Author

    Haber, F.

  • Author_Institution
    Univ. of Penn., Philadelphia, PA, USA
  • Volume
    12
  • Issue
    1
  • fYear
    1964
  • fDate
    3/1/1964 12:00:00 AM
  • Firstpage
    116
  • Lastpage
    117
  • Abstract
    In this communication, a family of sampling formulas are developed which have better convergence properties than the standard formula based on amplitude samples taken at the Nyquist rate. Sampling is done at higher than the minimum rate and a sampling function, whose Fourier transform has cosine tapered skirts, is used. Suitable choice of the taper results in a formula with no "crosstalk" at the sampling instants. Interpolation between samples generally requires fewer samples than required by the standard formula. Tables and curves for several cases are provided.
  • Keywords
    Band pass filters; Communication standards; Convergence; Fourier transforms; Frequency domain analysis; Interpolation; Sampling methods;
  • fLanguage
    English
  • Journal_Title
    Communications Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-1965
  • Type

    jour

  • DOI
    10.1109/TCOM.1964.1088885
  • Filename
    1088885