• DocumentCode
    826255
  • Title

    Concerning continued fractions representation of noninteger order digital differentiators

  • Author

    Maione, Guido

  • Author_Institution
    Dipt. di Ingegneria dell´´Ambiente e per to Sviluppo Sostembile, Politecnico di Bari, Taranto
  • Volume
    13
  • Issue
    12
  • fYear
    2006
  • Firstpage
    725
  • Lastpage
    728
  • Abstract
    The discretization of a fractional-order differentiator snu , where nu is a real number 0<nu<1, is an important issue in digital signal processing. This letter gives the analytical expression of the convergents of a continued fraction expansion of the binomial (1+s)nu to get a rapidly convergent, stable, minimum-phase approximation of digital differentiators
  • Keywords
    approximation theory; convergence of numerical methods; differentiation; signal representation; continued fraction representation; convergents; digital signal processing; minimum-phase approximation; noninteger order digital differentiators; Biology; Biomedical signal processing; Convergence; Digital signal processing; Finite impulse response filter; Fractional calculus; IIR filters; Physics; Digital differentiators; fractional calculus; noninteger order differentiators;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2006.879866
  • Filename
    4014242
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=826255