• DocumentCode
    957439
  • Title

    Remark on an equivalent relation in least square approximation

  • Author

    Jury, E.I. ; Chaparro, L.F.

  • Author_Institution
    University of California, Berkeley, CA
  • Volume
    67
  • Issue
    10
  • fYear
    1979
  • Firstpage
    1444
  • Lastpage
    1445
  • Abstract
    In this note it is shown that the least square inverse of the 2-D polynomial B(z1, z2) = b00+ bmtz1mz2t+ bnsz1nz2s+ bm+n, s+tċ z1m+nz2s+twith (nt - ms) ≠ 0 is stable. This extends the Shanks´ conjecture for a larger class of 2-D polynomials.
  • Keywords
    Circuit synthesis; Digital filters; Electrons; Equations; Laboratories; Least squares approximation; Least squares methods; Polynomials; Speech; Stability;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1979.11482
  • Filename
    1455751