• DocumentCode
    1139471
  • Title

    On nonuniform sampling expansions using entire interpolating functions, and on the stability of Bessel-type sampling expansions

  • Author

    Rawn, Michael D.

  • Author_Institution
    Dept. of Math. Sci., Manchester Coll., North Manchester, IN, USA
  • Volume
    35
  • Issue
    3
  • fYear
    1989
  • fDate
    5/1/1989 12:00:00 AM
  • Firstpage
    549
  • Lastpage
    557
  • Abstract
    The author has extended the work of N. Levinson (1940) to derive nonuniform sampling expansions that are stable in the sense of K. Yao and J.B. Thomas (IEEE Trans. Circuit Theory, vol.CT-14, p.404-8, 1967) and reduce to Bessel-type sampling expansions for a particular choice of the sampling sequence
  • Keywords
    Bessel functions; information theory; interpolation; stability; Bessel-type sampling expansions; entire interpolating functions; information theory; nonuniform sampling expansions; stability; Fourier series; Frequency conversion; Lagrangian functions; Nonuniform sampling; Sampling methods; Signal analysis; Stability; Tires; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.30976
  • Filename
    30976