• DocumentCode
    1192161
  • Title

    Realizability and synthesis for infinite grids of positive resistances

  • Author

    Zemanian, Armen H. ; Davis, Artice M.

  • Volume
    32
  • Issue
    2
  • fYear
    1985
  • fDate
    2/1/1985 12:00:00 AM
  • Firstpage
    192
  • Lastpage
    196
  • Abstract
    A semi-infinite resistive grid can be characterized from its boundary conditions by a certain function F(z) of the complex variable z . We establish herein both pole-zero and pole-residue realizability conditions that insure that F(z) does represent a resistive grid. We also show how that grid can be synthesized from a realizable F(z) . These results are established for both two-dimensional and three-dimensional grids.
  • Keywords
    General circuits and systems theory; Resistive circuits; Boundary conditions; Conductivity; Earth; Electric resistance; Frequency; Geophysical measurements; Minerals; Network synthesis; Ores; Voltage;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1985.1085681
  • Filename
    1085681