• DocumentCode
    3326079
  • Title

    Design equations for fractional-order sinusoidal oscillators: Practical circuit examples

  • Author

    Radwan, A.G. ; Soliman, A.M. ; Elwakil, A.S.

  • Author_Institution
    Dept. of Eng. Math., Cairo Univ., Cairo
  • fYear
    2007
  • fDate
    29-31 Dec. 2007
  • Firstpage
    89
  • Lastpage
    92
  • Abstract
    Some practical sinusoidal oscillators are studied in the general form where fractional-order energy storage elements are considered. A fractional-order element is one whose complex impedance is given by Z = alpha(jomega)plusmnalpha ; a is a constant and alpha is not necessarily an integer. As a result, these oscillators are described by sets of fractional-order differential equations. Numerical and PSpice simulation results are shown.
  • Keywords
    SPICE; circuit simulation; differential equations; oscillators; PSpice simulation; fractional-order differential equations; fractional-order element; fractional-order energy storage elements; fractional-order sinusoidal oscillators; Capacitors; Circuit simulation; Design engineering; Differential equations; Energy storage; Frequency; Impedance; Numerical simulation; Oscillators; Power engineering and energy;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Microelectronics, 2007. ICM 2007. Internatonal Conference on
  • Conference_Location
    Cairo
  • Print_ISBN
    978-1-4244-1846-6
  • Electronic_ISBN
    978-1-4244-1847-3
  • Type

    conf

  • DOI
    10.1109/ICM.2007.4497668
  • Filename
    4497668