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Unbiased Estimation of Frequency Response in the Presence of Input and Output Noise
University of Southern Denmark, Denmark.ORCID iD: 0000-0003-2025-7842
2011 (English)In: Modal Analysis Topics, Volume 3: Proceedings of the 29th IMAC, A Conference on Structural Dynamics, 2011 / [ed] Tom Proulx, Springer, 2011, Vol. 3, 299-305 p.Conference paper, Published paper (Refereed)
Abstract [en]

Many attempts have been made on finding a frequency response estimator which minimizes the bias error in cases where both the input and output signals of a linear system are contaminated by extraneous noise, for example, Hv and Hs. It is wellknown that these estimators only minimize the bias error if the input and output extraneous noise spectra are known, which they are normally not. This paper describes how time domain averaging (cyclic averaging) of periodic excitation signals can be used to eliminate the bias due to both input and output extraneous noise. It is demonstrated by simulation results that asymptotically unbiased estimates of frequency response functions can be obtained by using time domain averaging and periodic random noise. Examples are given of both single-input/single-output (SISO) and of multiple-input/multiple-output (MIMO) systems. The fact that periodic excitation signals in this way can be used to eliminate the bias error in FRF estimates does not seem to have been recognized previously.

Place, publisher, year, edition, pages
Springer, 2011. Vol. 3, 299-305 p.
Series
Conference Proceedings of the Society for Experimental Mechanics Series, ISSN 2191-5644
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:lnu:diva-56915DOI: 10.1007/978-1-4419-9299-4_26ISBN: 9781441992987 (print)ISBN: 9781441992994 (print)OAI: oai:DiVA.org:lnu-56915DiVA: diva2:1040101
Conference
29th International Modal Analysis Conference (IMAC), Jacksonville, USA, January 31-February 3, 2011
Available from: 2016-10-26 Created: 2016-09-28 Last updated: 2016-10-26Bibliographically approved

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Brandt, Anders
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf