• DocumentCode
    2823052
  • Title

    Modeling frequency responses by positive rational functions

  • Author

    Lepschy, Antonio ; Mian, Gian Antonio ; Viaro, Umberto

  • Author_Institution
    Dept. of Electron. & Inf., Padova Univ., Italy
  • fYear
    1991
  • fDate
    11-14 Jun 1991
  • Firstpage
    2737
  • Abstract
    The problem of finding a rational function of a real variable interpolating at given points (with suitable intersection numbers) while being everywhere positive is considered. The positivity requirement is essential, e.g. in modeling the square magnitude of a frequency response. This goal is achieved by resorting to a Hermite-type approach which allows one to obtain positive interpolating functions of minimum complexity by means of an efficient numerical procedure
  • Keywords
    frequency response; interpolation; Hermite method; frequency response; interpolating functions; modeling; polynomial; positive rational functions; square magnitude; systems theory; transfer functions; Equations; Filters; Frequency response; Informatics; Interpolation; Lagrangian functions; Polynomials; Reduced order systems; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1991., IEEE International Sympoisum on
  • Print_ISBN
    0-7803-0050-5
  • Type

    conf

  • DOI
    10.1109/ISCAS.1991.176111
  • Filename
    176111