• DocumentCode
    1198636
  • Title

    Generalized sampling theorem

  • Author

    Zhu, Yang-Ming

  • Author_Institution
    Dept. of Biol. & Biomed. Eng., Southeast Univ., Nanjing, China
  • Volume
    39
  • Issue
    8
  • fYear
    1992
  • fDate
    8/1/1992 12:00:00 AM
  • Firstpage
    587
  • Lastpage
    588
  • Abstract
    It is shown, for an arbitrary function f(t), that if there exists a reversible function g(t) such that g(f(t)) is band-limited, then f(t) can be uniquely determined in terms of its samples f(nTs) sampled with the Nyquist rate of g(f(t)). The application of this result to undersampling is illustrated by examples
  • Keywords
    information theory; signal processing; Nyquist rate; sampling theorem; undersampling; Fourier transforms; Frequency; Linear systems; Nonuniform sampling; Sampling methods; Tomography;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7130
  • Type

    jour

  • DOI
    10.1109/82.168954
  • Filename
    168954