• DocumentCode
    1181072
  • Title

    Planar least squares inverse polynomials: Part I-Algebraic properties

  • Author

    Delsarte, Philippe ; Genin, Yves V. ; Kamp, Y.

  • Volume
    26
  • Issue
    1
  • fYear
    1979
  • fDate
    1/1/1979 12:00:00 AM
  • Firstpage
    59
  • Lastpage
    66
  • Abstract
    A general analysis of the planar least squares inverse polynomials is presented. The algebraic properties of these polynomials are discussed in detail and applied to the stability problem related with the Shanks et al. conjecture. The theory of the orthogonal polynomial matrices on the unit circle is shown to provide interesting new results concerning planar least squares inverse polynomials.
  • Keywords
    General circuits and systems theory; Multidimensional digital filters; Multivariable polynomials; Recursive digital filter stability; Asymptotic stability; Digital filters; Filtering; Joining processes; Least squares methods; Matrix decomposition; Polynomials; Stability analysis; Stability criteria; Transmission line matrix methods;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1979.1084558
  • Filename
    1084558
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1181072