• DocumentCode
    1201310
  • Title

    Maximum Gain Realization of an RC Ladder Network

  • Author

    Paige, A. ; Kuh, E.S.

  • Volume
    7
  • Issue
    1
  • fYear
    1960
  • fDate
    3/1/1960 12:00:00 AM
  • Firstpage
    32
  • Lastpage
    40
  • Abstract
    This paper is concerned with the synthesis of the voltage transfer function of an unterminated RC ladder network. Given A (p) = frac{V_2}{V_1} = K frac{N(p)}{D(p)} the constraint on N and D is well known and the realization procedure is straightforward. However, for many applications, it is important to realize the maximum possible gain ( K \\max ) associated with a given transfer function. This paper presents a method of determining K_{\\max } from the given A(p) . Furthermore, it is shown that if the maximum gain occurs at dc or at infinite frequency, K_{\\max } can be realized exactly. If the maximum gain occurs at a finite frequency, K_{\\max } can be approached arbitrarily closely.
  • Keywords
    Books; Filtering theory; H infinity control; Lattices; Network synthesis; Poles and zeros; Shape control; Transfer functions; Upper bound; Voltage;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IRE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-2007
  • Type

    jour

  • DOI
    10.1109/TCT.1960.1086620
  • Filename
    1086620