• DocumentCode
    1528268
  • Title

    Modified B-splines for the sampling of bandlimited functions

  • Author

    Knockaert, Luc ; Olyslager, Frank

  • Author_Institution
    Dept. of Inf. Technol., INTEC, Gent, Belgium
  • Volume
    47
  • Issue
    8
  • fYear
    1999
  • fDate
    8/1/1999 12:00:00 AM
  • Firstpage
    2328
  • Lastpage
    2332
  • Abstract
    It is shown that there is an optimal finite linear combination of B-splines (denominated modified B-splines) such that a pertinent low frequency condition called M-flatness is satisfied. A profound relationship of the modified B-splines with the beta distribution implies an asymptotic sampling theorem with exact reconstruction requiring only small oversampling
  • Keywords
    bandlimited signals; signal sampling; splines (mathematics); M-flatness; asymptotic sampling theorem; bandlimited functions; beta distribution; low frequency condition; modified B-splines; oversampling; Convolution; Fourier transforms; Frequency; H infinity control; Information technology; Kernel; Sampling methods; Signal sampling; Spline; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.774780
  • Filename
    774780
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1528268