• DocumentCode
    1079782
  • Title

    Comments on scale invariance of time-frequency distributions

  • Author

    Loughlin, Patrick J.

  • Author_Institution
    Dept. of Electr. Eng., Pittsburgh Univ., PA, USA
  • Volume
    2
  • Issue
    12
  • fYear
    1995
  • Firstpage
    217
  • Lastpage
    218
  • Abstract
    Two results concerning time-frequency distributions (TFD\´s) are presented. First, it is shown that the Cohen-Posch class of distributions (or "positive distributions") are scale invariant. Second, it is shown that the commonly stated condition for scale invariance of a TFD, namely, that the kernel be a product kernel, is not a necessary condition for signal-dependent kernels.
  • Keywords
    signal processing; time-frequency analysis; Cohen-Posch class; positive distributions; product kernel; scale invariance; signal-dependent kernels; time-frequency distributions; Fourier transforms; Kernel; Signal analysis; Sufficient conditions; Time frequency analysis;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/97.475853
  • Filename
    475853