A simplified form of the bias-eliminating least squares method for errors-in-variables identification

Mei Hong, Torsten Söderström, Wei Xing Zheng

Research output: Contribution to journalArticle

24 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)1754-1756
Number of pages3
JournalIEEE Transactions on Automatic Control
Volume52
Issue number9
Publication statusPublished - Sept 2007

Keywords

  • Instrumental variables (Statistics)
  • bias eliminating least-squares
  • system identification

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