• DocumentCode
    2390812
  • Title

    Recovery of not necessarily band-limited signals from noisy observations

  • Author

    Krzyzak, A. ; Rafajlowicz, E. ; Pawlak, M.

  • Author_Institution
    Dept. of Comput. Sci., Concordia Univ., Montreal, Que., Canada
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    360
  • Abstract
    The purpose of this paper is to describe the extension of the Whittaker-Shannon sampling theorem to the case of signals observed in the presence of noise. We introduce a class of signal recovery methods being a smooth correction of the cardinal series. Both band-limited and non band-limited signals are considered. The weak and strong L2 consistency of the algorithms are established and the rate of convergence is investigated
  • Keywords
    bandlimited signals; convergence of numerical methods; interpolation; noise; signal reconstruction; signal sampling; Whittaker-Shannon sampling theorem; band-limited signals; cardinal series smooth correction; convergence rate; noisy observations; nonband-limited signals; signal recovery methods; strong L2 consistency; weak L2 consistency; Bandwidth; Communication systems; Computer science; Convergence; Cybernetics; Information theory; Kernel; Sampling methods; Signal processing algorithms; Signal sampling;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2000. Proceedings. IEEE International Symposium on
  • Conference_Location
    Sorrento
  • Print_ISBN
    0-7803-5857-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2000.866658
  • Filename
    866658
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2390812