• DocumentCode
    1498975
  • Title

    On factorizations of rational matrices

  • Author

    Tan, Shaohua ; Vandewalle, Joos

  • Author_Institution
    Dept. of Electr. Eng., Katholieke Univ. Leuven, Heverlee, Belgium
  • Volume
    35
  • Issue
    9
  • fYear
    1988
  • fDate
    9/1/1988 12:00:00 AM
  • Firstpage
    1179
  • Lastpage
    1182
  • Abstract
    It is shown that any complex rational matrix G(s) can be factorized over the complex field as a product of n complex rational matrices each of which has McMillan degree 1, where n is the McMillan degree of G(s). When confined to the real field, G(s) with real coefficient can be factorized as a product of a sequence of real national matrices with McMillan degree 1 or 2, where the McMillan degrees of the factors add up to n
  • Keywords
    matrix algebra; McMillan degree; complex field; factorizations; rational matrices; real coefficient; real field; Circuit synthesis; Circuits and systems; Conformal mapping; Feedback circuits; Operational amplifiers;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.7583
  • Filename
    7583