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

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 analy...

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Main Authors: Foo, Mathias Fui Lin, Tang, Ai Hui, Basu, Kartik Prasad
Format: Conference or Workshop Item
Published: 2007
Subjects:
Online Access:http://shdl.mmu.edu.my/3275/
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author Foo, Mathias Fui Lin
Tang, Ai Hui
Basu, Kartik Prasad
author_facet Foo, Mathias Fui Lin
Tang, Ai Hui
Basu, Kartik Prasad
author_sort Foo, Mathias Fui Lin
building MMU Institutional Repository
collection Online Access
description 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.
first_indexed 2025-11-14T18:10:08Z
format Conference or Workshop Item
id mmu-3275
institution Multimedia University
institution_category Local University
last_indexed 2025-11-14T18:10:08Z
publishDate 2007
recordtype eprints
repository_type Digital Repository
spelling mmu-32752011-10-18T01:38:01Z http://shdl.mmu.edu.my/3275/ Pseudorandom maximum length signal design with bias compensation least squares estimation for system identification Foo, Mathias Fui Lin Tang, Ai Hui Basu, Kartik Prasad T Technology (General) QA75.5-76.95 Electronic computers. Computer science 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. 2007-05 Conference or Workshop Item NonPeerReviewed Foo, Mathias Fui Lin and Tang, Ai Hui and Basu, Kartik Prasad (2007) Pseudorandom maximum length signal design with bias compensation least squares estimation for system identification. In: 24th IEEE Instrumentation and Measurement Technology Conference, 01-03 MAY 2007, Warsaw, POLAND. http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=1&SID=Q2B3J83BDN3nFOLpEAc&page=127&doc=1263
spellingShingle T Technology (General)
QA75.5-76.95 Electronic computers. Computer science
Foo, Mathias Fui Lin
Tang, Ai Hui
Basu, Kartik Prasad
Pseudorandom maximum length signal design with bias compensation least squares estimation for system identification
title Pseudorandom maximum length signal design with bias compensation least squares estimation for system identification
title_full Pseudorandom maximum length signal design with bias compensation least squares estimation for system identification
title_fullStr Pseudorandom maximum length signal design with bias compensation least squares estimation for system identification
title_full_unstemmed Pseudorandom maximum length signal design with bias compensation least squares estimation for system identification
title_short Pseudorandom maximum length signal design with bias compensation least squares estimation for system identification
title_sort pseudorandom maximum length signal design with bias compensation least squares estimation for system identification
topic T Technology (General)
QA75.5-76.95 Electronic computers. Computer science
url http://shdl.mmu.edu.my/3275/
http://shdl.mmu.edu.my/3275/