• DocumentCode
    831082
  • Title

    Eigenvalues of a matrix inside an ellipse and Chebyshev filter

  • Author

    Ahn, S.M.

  • Author_Institution
    General Dynamics, San Diego, CA, USA
  • Volume
    24
  • Issue
    6
  • fYear
    1979
  • fDate
    12/1/1979 12:00:00 AM
  • Firstpage
    986
  • Lastpage
    987
  • Abstract
    The conditions for a matrix to have all its eigenvalues inside an ellipse are obtained and explained in terms of a vector norm. A set of functions orthogonal on the ellipse is obtained and the relation between the Chebyshev filter and these functions is presented. The Butterworth filter is derived as a particular case.
  • Keywords
    Chebyshev filters; Eigenvalues; Matrices; Orthogonal functions; Chebyshev approximation; Difference equations; Eigenvalues and eigenfunctions; Finite impulse response filter; IEL; Identity-based encryption; Polynomials; Robustness; Stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1979.1102204
  • Filename
    1102204
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=831082