• DocumentCode
    1445531
  • Title

    Design of fractional order digital FIR differentiators

  • Author

    Tseng, Chien-Cheng

  • Author_Institution
    Dept. of Comput. & Commun. Eng., Nat. Kaohsiung First Univ. of Sci. & Technol., Taiwan
  • Volume
    8
  • Issue
    3
  • fYear
    2001
  • fDate
    3/1/2001 12:00:00 AM
  • Firstpage
    77
  • Lastpage
    79
  • Abstract
    In this paper, the design of a fractional order FIR differentiator is investigated. First, the fractional derivative of the power function is defined. Then, the impulse response of the fractional order differentiator is obtained by solving linear equations of the Vandermonde form. Finally, one example is used to demonstrate that the fractional derivatives of digital signals are easily computed by using the proposed filtering technique.
  • Keywords
    FIR filters; differentiating circuits; digital filters; network synthesis; Vandermonde linear equations; digital signals; filtering technique; fractional derivative; fractional order differentiator; fractional order digital FIR differentiators; impulse response; power function; Delay; Differential equations; Digital filters; Filtering; Finite impulse response filter; Fractional calculus; Helium; Sampling methods; Signal design; Taylor series;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/97.905945
  • Filename
    905945
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1445531