• DocumentCode
    914303
  • Title

    Maximally flat approximations to the ideal filter as hypergeometric functions

  • Author

    Neirynck, J.

  • Author_Institution
    MBLE Research Laboratories, Brussels, Belgium
  • Volume
    7
  • Issue
    19
  • fYear
    1971
  • Firstpage
    591
  • Lastpage
    593
  • Abstract
    Two families of maximally flat approximations to the ideal filter can be deduced as particular cases of polynomials which are solutions of a hypergeometric equation. By studying the generalised hypergeometric function, one finds a continuous range of filter characteristics. This allows a control of the compromise to be made between the features of the transient response, the amplitude and the phase.
  • Keywords
    approximation theory; filters; generalised hypergeometric function; hypergeometric equation; ideal filter; maximally flat approximations; polynomials;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:19710398
  • Filename
    4235299