• DocumentCode
    1245707
  • Title

    The discrete-time phase derivative as a definition of discrete instantaneous frequency and its relation to discrete time-frequency distributions

  • Author

    Jeong, Jechang ; Cunningham, Gregory S. ; Williams, William J.

  • Author_Institution
    Adv. TV Lab., Samsung Electron. Co., Suwon, South Korea
  • Volume
    43
  • Issue
    1
  • fYear
    1995
  • fDate
    1/1/1995 12:00:00 AM
  • Firstpage
    341
  • Lastpage
    344
  • Abstract
    We compare two definitions of the instantaneous frequency of a discrete signal: the two-point symmetric phase difference and the discrete-time phase derivative. The phase derivative definition avoids the pitfalls associated with the two-point definition and is equal to the first moment w.r.t. frequency of a properly defined, alias-free time-frequency distribution of the signal, which is consistent with the continuous-time case
  • Keywords
    signal sampling; statistical analysis; time-frequency analysis; Nyquist sampled signal; continuous-time signal; discrete instantaneous frequency; discrete signal; discrete time-frequency distributions; discrete-time phase derivative; first moment; time frequency signal analysis; two-point symmetric phase difference; Autocorrelation; Filtering; HDTV; Hydrodynamics; Kernel; Laboratories; Low pass filters; Signal analysis; Signal generators; Time frequency analysis;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.365325
  • Filename
    365325