• DocumentCode
    1218954
  • Title

    A new derivation of a closed form expression for Chebyshev polynomials of any order

  • Author

    Cole, Joseph D.

  • Author_Institution
    Dept. of Electr. Eng., Louisville Univ., KY, USA
  • Volume
    32
  • Issue
    3
  • fYear
    1989
  • Firstpage
    390
  • Lastpage
    392
  • Abstract
    The author presents a new derivation of a closed-form expression for the Chebyshev polynomial Cn( omega ) based on the method of the Z-transform. The result permits the rapid determination of Cn( omega ) for any order n without the need to evaluate Cn( omega ) for all lower values of n.
  • Keywords
    Chebyshev approximation; Z transforms; Chebyshev polynomials; Z-transform; closed-form expression; Asia; Chebyshev approximation; Circuit synthesis; Electronic circuits; Equivalent circuits; Feedback circuits; Network synthesis; Polynomials; Signal generators; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Education, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9359
  • Type

    jour

  • DOI
    10.1109/13.34178
  • Filename
    34178
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1218954