• DocumentCode
    923546
  • Title

    Bounds for truncation error in sampling expansions of finite energy band-limited signals (Corresp.)

  • Author

    Piper, Harvey S., Jr.

  • Volume
    21
  • Issue
    4
  • fYear
    1975
  • fDate
    7/1/1975 12:00:00 AM
  • Firstpage
    482
  • Lastpage
    485
  • Abstract
    An upper bound is established for the magnitude of the truncation error incurred when a real-valued finite energy signal that is bandlimited to -\\pi r \\leq \\omega \\leq \\pi r, 0 < r < 1 , is approximated by 2N + 1 terms from its Shannon sampling series expansion with the samples taken at the integer points. The derived bound is an improvement on known results.
  • Keywords
    Band-limited signals; Signal sampling/reconstruction; Calculus; Convergence; Filtering; Finite wordlength effects; H infinity control; Information theory; Optical character recognition software; Sampling methods; Spectral analysis; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1975.1055404
  • Filename
    1055404
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=923546