Pseudorandom maximum length signal design with bias compensation least squares estimation for system identification

M F L Foo, Ai Hui Tan, Kartik Prasad Basu

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

1 Citation (Scopus)

Abstract

The effect of input and output noise towards the identification of the best linear approximation of a system is investigated. This leads to the problem of errors-in-variables (EIV). The effectiveness of one particular EIV method, namely the bias compensation least squares estimation method, is analyzed, with simulations carried out on a first order bilinear system. It is shown that the use of perturbation signals with carefully selected harmonic properties can lead to significant improvements in the estimation of the best linear approximation of the system. In particular, a spectrum that is sparser but having a larger magnitude at the nonzero harmonics is found to be more robust towards the effect of noise.
Original languageEnglish
Title of host publicationIMTC 2007. IEEE Instrumentation and Measurement Technology Conference Proceedings, 2007
Place of PublicationNew York
PublisherIEEE
Pages417-422
Number of pages6
ISBN (Electronic)1-4244-1080-0
ISBN (Print)1-4244-0588-2
DOIs
Publication statusPublished - 25 Jun 2007
EventIEEE Instrumentation and Measurement Technology Conference - Warsaw, Poland
Duration: 1 May 20073 May 2007

Conference

ConferenceIEEE Instrumentation and Measurement Technology Conference
Abbreviated titleIMTC 2007
CountryPoland
CityWarsaw
Period1/05/073/05/07

Keywords

  • bias compensation
  • estimation methods
  • maximum length signals
  • perturbation signals
  • pseudorandom signals
  • system identification

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  • Cite this

    Foo, M. F. L., Tan, A. H., & Basu, K. P. (2007). Pseudorandom maximum length signal design with bias compensation least squares estimation for system identification. In IMTC 2007. IEEE Instrumentation and Measurement Technology Conference Proceedings, 2007 (pp. 417-422). New York: IEEE. https://doi.org/10.1109/IMTC.2007.378981