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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