• DocumentCode
    1178980
  • Title

    Transfer functions of generalized Bessel polynomials

  • Author

    Martinez, José R.

  • Volume
    24
  • Issue
    6
  • fYear
    1977
  • fDate
    6/1/1977 12:00:00 AM
  • Firstpage
    325
  • Lastpage
    328
  • Abstract
    The stability and approximation properties of transfer functions of generalized Bessel polynomials (GBP) are investigated. Sufficient conditions are established for the GBP to be Hurwitz. It is shown that the Padé approximants of e^{-s} are related to the GBP. An infinite subset of stable Padé functions useful for approximating a constant time delay is defined and its approximation properties examined. The low-pass Padé functions are compared with an approximating function suggested by Budak. Basic limitations of Budak\´s approximation are derived.
  • Keywords
    Approximation methods; Bessel filters; Delay filters; General analysis and synthesis; Polynomials; Stability; Transfer functions; Circuit theory; Circuits and systems; Delay effects; Polynomials; Stability; Sufficient conditions; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1977.1084347
  • Filename
    1084347