• DocumentCode
    1204260
  • Title

    Frequency domain Volterra filters in terms of distributions

  • Author

    Amblard, Pierre-Olivier ; Moisan, Eric

  • Author_Institution
    CEPHAG, Saint-Martin d´´Heres, France
  • Volume
    1
  • Issue
    11
  • fYear
    1994
  • Firstpage
    169
  • Lastpage
    172
  • Abstract
    The Fourier transform of the output of a Volterra filter is given in terms of Schwartz distributions. This theory is developed in order to handle input signals that do not possess a Fourier transform in the usual sense. To illustrate this, the authors apply the result to the case of a sinusoidal input and to the case of a sampled and periodized signal.<>
  • Keywords
    Fourier transforms; digital filters; filtering and prediction theory; frequency-domain analysis; statistical analysis; Fourier transform; Schwartz distributions; frequency domain Volterra filters; input signals; output; sampled periodized signal; sinusoidal input; Filtering theory; Fourier transforms; Frequency domain analysis; H infinity control; Integral equations; Nonlinear filters; Power harmonic filters;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/97.335065
  • Filename
    335065
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1204260