Reducing the measurement time of the Best Linear Approximation of a nonlinear system using improved averaging methods

Tadeusz P. Dobrowiecki, Johan Schoukens

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

1 Citation (Scopus)

Abstract

The Best Linear Approximation to a nonlinear system is traditionally measured as a sample mean, considering that for linear systems it is the minimum variance Maximum Likelihood estimate for Gaussian excitations. This minimum variance is the basis of the usual measurement time vs. measurement quality trade-off and design. However due to a nonlinearity the sample mean is no more an optimal estimate and in consequently its variance is not an attainable theoretical minimum and can be improved. By using a limited a priori knowledge about the measured system the measurement time vs. measurement quality trade-off can be made sharper and we present a method where the reduction in the measurement variance can be realized solely as a part of the data processing, without affecting the measurement setup and protocol.

Original languageEnglish
Title of host publication2015 IEEE International Instrumentation and Measurement Technology Conference - The "Measurable" of Tomorrow
Subtitle of host publicationProviding a Better Perspective on Complex Systems, I2MTC 2015 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages623-628
Number of pages6
ISBN (Electronic)9781479961139
DOIs
Publication statusPublished - Jul 6 2015
Event2015 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2015 - Pisa, Italy
Duration: May 11 2015May 14 2015

Publication series

NameConference Record - IEEE Instrumentation and Measurement Technology Conference
Volume2015-July
ISSN (Print)1091-5281

Other

Other2015 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2015
CountryItaly
CityPisa
Period5/11/155/14/15

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Keywords

  • Best linear approximation (BLA)
  • Frequency response function (FRF)
  • Monte Carlo
  • Multisine
  • Variance reduction

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Dobrowiecki, T. P., & Schoukens, J. (2015). Reducing the measurement time of the Best Linear Approximation of a nonlinear system using improved averaging methods. In 2015 IEEE International Instrumentation and Measurement Technology Conference - The "Measurable" of Tomorrow: Providing a Better Perspective on Complex Systems, I2MTC 2015 - Proceedings (pp. 623-628). [7151340] (Conference Record - IEEE Instrumentation and Measurement Technology Conference; Vol. 2015-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/I2MTC.2015.7151340