• DocumentCode
    758268
  • Title

    Time-Varying Spectral Approximation of Filtered Signals

  • Author

    Loughlin, Patrick

  • Author_Institution
    Departments of Electr. & Comput. Eng., Univ. of Pittsburgh, PA
  • Volume
    13
  • Issue
    10
  • fYear
    2006
  • Firstpage
    604
  • Lastpage
    607
  • Abstract
    An approximation of the time-varying (Wigner) spectrum of a filtered signal is presented. The approximation is simple to apply, yet insightful, in that it shows the effects of the magnitude and phase of the frequency response of the filter on the time-frequency properties of the signal. In addition, the approximation yields the correct Fourier spectrum of the filtered signal, to within a complex constant
  • Keywords
    Fourier transforms; approximation theory; filtering theory; frequency response; time-frequency analysis; time-varying filters; Fourier spectrum; filtered signal; frequency response; time-frequency property; time-varying spectral approximation; Delay; Electromagnetic propagation; Filtering; Frequency response; Nonlinear filters; Optical filters; Optical propagation; Optical signal processing; Sonar; Time frequency analysis; Group delay; Wigner distribution; instantaneous frequency; linear time-invariant (LTI) filtering; time-frequency analysis;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2006.875349
  • Filename
    1703538