• DocumentCode
    1497824
  • Title

    An overview of aliasing errors in discrete-time formulations of time-frequency representations

  • Author

    Costa, Antonio H. ; Boudreaux-Bartels, G. Faye

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Massachusetts-Dartmouth, North Darmouth, MA, USA
  • Volume
    47
  • Issue
    5
  • fYear
    1999
  • fDate
    5/1/1999 12:00:00 AM
  • Firstpage
    1463
  • Lastpage
    1474
  • Abstract
    Discrete-time time-frequency representation (TFR) algorithms claim to provide alias-free approximations to their continuous-time TFR counterparts without requiring oversampling of the signal By counterexamples, we demonstrate that some of these claims are invalid. We give new necessary conditions for reducing aliasing errors in these discrete-time TFR algorithms
  • Keywords
    Fourier transforms; Wigner distribution; approximation theory; error analysis; signal representation; signal sampling; spectral analysis; time-frequency analysis; Cohen´s quadratic fixed-kernel class; Fourier transform; TFR algorithms; alias-free approximations; aliasing errors reduction; discrete-time Wigner distribution; discrete-time time-frequency representation; lD spectral representation; necessary conditions; signal sampling; Computer errors; Data analysis; Distributed computing; Fourier transforms; Frequency; Kernel; Signal analysis; Signal processing; Signal sampling; Smoothing methods;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.757245
  • Filename
    757245