• DocumentCode
    798284
  • Title

    A note on the statistical estimation of a hyperplane

  • Author

    Baender, Ralph G. ; Smith, Fred W.

  • Author_Institution
    Sylvania Electronic Systems-West, Mountain View, CA, USA
  • Volume
    13
  • Issue
    5
  • fYear
    1968
  • fDate
    10/1/1968 12:00:00 AM
  • Firstpage
    591
  • Lastpage
    591
  • Abstract
    Several authors have discussed the problem of statistically estimating the pulse transfer function of a linear system, or what is equivalent, estimating the vector normal to a hyperplane. Certain authors have raised objections to the least-squares estimator commonly proposed for this problem. This correspondence points out that these objections pertain not so much to the least-squares method per se as they do to an unfortunate choice of normalization.
  • Keywords
    Least-squares estimation; Linear systems; Additive noise; Covariance matrix; Difference equations; Eigenvalues and eigenfunctions; Gaussian noise; Linear systems; Noise measurement; Random variables; Transfer functions; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1968.1098979
  • Filename
    1098979