• DocumentCode
    3329237
  • Title

    Two-dimensional Laplace, Hankel, and Mellin transforms of linear time-varying systems

  • Author

    Erfani, Shervin ; Bayan, Nima

  • Author_Institution
    Electr. & Comput. Eng. Dept., Univ. of Windsor Windsor, Windsor, ON, Canada
  • fYear
    2009
  • fDate
    2-5 Aug. 2009
  • Firstpage
    794
  • Lastpage
    799
  • Abstract
    Application of the two-dimensional Laplace transform (2DLT) and some of its properties with regard to linear time-varying (LTV) system representation are investigated. In particular, the 2DLT characterization leads to a bifrequency representation for LTV systems that exhibit circular symmetry. The equivalence of Hankel and Mellin transforms with 2DLT is shown in an algebraic fashion. For ease of exposition the results are presented for the LTV networks only.
  • Keywords
    Hankel transforms; Laplace transforms; linear systems; time-varying systems; transfer functions; 2DLT; Hankel transform; LTV system; Mellin transform; algebraic fashion; bifrequency representation; circular symmetry; linear time-varying system; transfer function; two-dimensional Laplace transform; Application software; Calculus; Differential equations; Laplace equations; Linear systems; Network synthesis; Signal processing; Time varying systems; Transfer functions; Transforms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2009. MWSCAS '09. 52nd IEEE International Midwest Symposium on
  • Conference_Location
    Cancun
  • ISSN
    1548-3746
  • Print_ISBN
    978-1-4244-4479-3
  • Electronic_ISBN
    1548-3746
  • Type

    conf

  • DOI
    10.1109/MWSCAS.2009.5235888
  • Filename
    5235888