• DocumentCode
    1172692
  • Title

    Ultraspherical rational filters

  • Author

    Johnson, D. ; Johnson, Jamie

  • Volume
    20
  • Issue
    5
  • fYear
    1973
  • fDate
    9/1/1973 12:00:00 AM
  • Firstpage
    596
  • Lastpage
    599
  • Abstract
    A set of rational functions based on ultraspherical polynomials is developed and used to approximate the ideal amplitude response of a low-pass filter, including by conjecture the elliptic filter as a special case. The procedure described for obtaining the elliptic filter avoids the necessity of computing the modulus of the elliptic functions, and requires no knowledge of elliptic function theory.
  • Keywords
    Elliptic filters; Filters; Low-pass filters; Ultraspherical filters; Band pass filters; Bandwidth; Circuit theory; Digital filters; Frequency; Impedance; Information filtering; Information filters; Low pass filters; Resonator filters;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1973.1083719
  • Filename
    1083719