• DocumentCode
    1123204
  • Title

    A Simplified Form of the Bias-Eliminating Least Squares Method for Errors-in-Variables Identification

  • Author

    Hong, Mei ; Söderström, Torsten ; Zheng, Wei Xing

  • Author_Institution
    Uppsala Univ., Uppsala
  • Volume
    52
  • Issue
    9
  • fYear
    2007
  • Firstpage
    1754
  • Lastpage
    1756
  • Abstract
    This note considers the bias-eliminating least squares (BELS) method for identifying the errors-in-variables systems with white input noise and colored output noise. A simplified form of the BELS algorithm is proposed that is proved to be equivalent to the existing one. Some expositions of this simplified BELS expression are also given. The new relation is a form of linear IV equations which will not only reduce the computational load but also simplify the analysis of the properties of the BELS estimates.
  • Keywords
    least mean squares methods; white noise; bias-eliminating least squares method; colored output noise; errors-in-variables identification; white input noise; Australia; Colored noise; Control systems; Councils; Equations; Instruments; Least squares methods; Noise measurement; Polynomials; White noise; Bias-eliminating least squares; errors-in-variables; instrumental variable; system identification;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2007.904322
  • Filename
    4303229