• DocumentCode
    905257
  • Title

    Multidimensional continued fraction inversion

  • Author

    Antoniou, G.E. ; Varoufakis, S.J. ; Paraskevopoulos, P.N.

  • Author_Institution
    Dept. of Electr. Eng., New Jersey Inst. of Technol., Newark, NJ, USA
  • Volume
    136
  • Issue
    6
  • fYear
    1989
  • fDate
    12/1/1989 12:00:00 AM
  • Firstpage
    307
  • Lastpage
    312
  • Abstract
    A computationally simple algorithm for the inversion of multidimensional continued fraction expansions (mDCFE) is presented. The approach is based on the interpretation of an mDCFE as a driving-point admittance. To facilitate the inversion procedure a cyclic function Ti(z1, z2, . . , zm) is introduced. Several examples are given for inverting 3-D and 4-D systems to illustrate the efficiency of the algorithm.
  • Keywords
    matrix algebra; multidimensional digital filters; multidimensional systems; transfer functions; 3D systems; 4D systems; computationally simple algorithm; continued fraction inversion; cyclic function; driving-point admittance; inversion procedure; multidimensional continued fraction expansions; transfer function; two-port network theory;
  • fLanguage
    English
  • Journal_Title
    Circuits, Devices and Systems, IEE Proceedings G
  • Publisher
    iet
  • ISSN
    0956-3768
  • Type

    jour

  • Filename
    216675
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=905257