• DocumentCode
    1111422
  • Title

    A note on argument principle

  • Author

    Rusu, Corneliu ; Astola, Jaakko

  • Author_Institution
    Tampere Int. Center for Signal Process., Tampere Univ. of Technol., Finland
  • Volume
    11
  • Issue
    10
  • fYear
    2004
  • Firstpage
    817
  • Lastpage
    820
  • Abstract
    The goal of this work is to show how the argument principle together with discrete Fourier transform (DFT) can be used to determine some properties of finite-length complex-valued sequences, precisely the localization of zeros with respect to unit circle of their related Z-transform. An upper bound of the DFT (in one step) length to exactly calculate the increase of the argument is also provided.
  • Keywords
    discrete Fourier transforms; signal reconstruction; DFT; argument principle; discrete Fourier transform; finite-length complex-valued sequence; minimum-phase functions; signal reconstruction; winding number; Differential equations; Discrete Fourier transforms; Fourier transforms; Helium; Poles and zeros; Signal processing; Signal reconstruction; Stability analysis; Stability criteria; Upper bound; Argument principle; minimum-phase functions; number of zeros; signal reconstruction; winding number;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2004.835459
  • Filename
    1336834