• DocumentCode
    784279
  • Title

    Modeling of fractional-order signals from their ramp cepstra

  • Author

    Schmidlin, Dean J.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of Massachusetts, North Dartmouth, MA, USA
  • Volume
    50
  • Issue
    9
  • fYear
    2003
  • Firstpage
    657
  • Lastpage
    659
  • Abstract
    A method is presented which computes the ramp cepstrum of a fractional-order signal and models the ramp cepstrum as a signal having a rational z-transform. A partial fraction expansion of the resulting model identifies the exponents of the fractional-order signal. An example is presented to illustrate the method.
  • Keywords
    Z transforms; cepstral analysis; discrete time systems; polynomials; signal processing; Gegenbauer polynomials; discrete-time fractional-order signals; fractional-order signal exponents; fractional-order signal modeling; partial fraction expansion; ramp cepstrum; rational z-transform; Cepstrum; Dielectrics; Elasticity; Impedance; Polarization; Polynomials; Rhythm; Signal processing; Transmission lines; Viscosity;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7130
  • Type

    jour

  • DOI
    10.1109/TCSII.2003.816930
  • Filename
    1232542
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=784279