Measuring the best linear approximation of a nonlinear system with uniformly frequency-distributed periodic signals

Tadeusz P. Dobrowiecki, Johan Schoukens

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

3 Citations (Scopus)

Abstract

This paper studies the approximation, in least square sense, of a nonlinear system with a linear system, when the measurements are made with periodic signals with a high number of harmonics. The dependency of the asymptotic (period length tends to infinity) behavior of the best linear approximation on the local selection scheme for the excited frequencies is analyzed in detail. Under some weak conditions, error bounds and a full equivalence with random noise excitations is established.1

Original languageEnglish
Title of host publication2007 IEEE Instrumentation and Measurement Technology, IMTC 2007 - Conference Proceedings - Synergy of Science and Technology in Instrumentation and Measurement
Publication statusPublished - Sep 28 2007
Event2007 IEEE Instrumentation and Measurement Technology, IMTC 2007 - Synergy of Science and Technology in Instrumentation and Measurement - Warsaw, Poland
Duration: May 1 2007May 3 2007

Publication series

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

Other

Other2007 IEEE Instrumentation and Measurement Technology, IMTC 2007 - Synergy of Science and Technology in Instrumentation and Measurement
CountryPoland
CityWarsaw
Period5/1/075/3/07

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Keywords

  • Best linear approximation
  • Discrepancy
  • Frequency grid
  • Random multisines
  • Uniform sequences
  • Volterra-series

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Dobrowiecki, T. P., & Schoukens, J. (2007). Measuring the best linear approximation of a nonlinear system with uniformly frequency-distributed periodic signals. In 2007 IEEE Instrumentation and Measurement Technology, IMTC 2007 - Conference Proceedings - Synergy of Science and Technology in Instrumentation and Measurement [4258198] (Conference Record - IEEE Instrumentation and Measurement Technology Conference).