Estimating the uncertainty in stepped sine measurements performed under partially stochastic conditions
2015 (English)In: 22nd International Congress on Sound and Vibration, ICSV 2015, International Institute of Acoustics and Vibrations , 2015Conference paper (Refereed)
Stepped sine measurements are often performed in environments where there is a large contribution of background noise to increase the signal to noise ratio and obtain more accurate measurements. Due to time constraints or to guarantee the stability of the investigated system a single long measurement is often taken and the statistical properties of the results are based on this single measurement. When the background noise is not completely stochastic in nature, for example there is a tonal component present, the obtained statistics can lead to the wrong results because the underlying assumptions to derive these statistics are violated. In this paper an expression is derived to estimate the uncertainty in a stepped sine measurements based on the background noise spectrum. In this way an accurate estimate of the uncertainty can be obtained even when it is not possible to perform enough statistically independent measurements. The results are based on synchronous demodulation using the Hilbert transform and the expressions are derived both in the continuous and discrete time domain so that they can be easily applied.
Place, publisher, year, edition, pages
International Institute of Acoustics and Vibrations , 2015.
Acoustic noise, Mathematical transformations, Signal to noise ratio, Stochastic systems, Accurate measurement, Background noise, Discrete time-domain, Hilbert transform, Independent measurement, Statistical properties, Synchronous demodulation, Time constraints, Uncertainty analysis
IdentifiersURN: urn:nbn:se:kth:diva-194708ScopusID: 2-s2.0-84971324070ISBN: 9788888942483OAI: oai:DiVA.org:kth-194708DiVA: diva2:1048908
22nd International Congress on Sound and Vibration, ICSV 2015, 12 July 2015 through 16 July 2015
Funding Details: FP7-PEOPLE-ITN-2012, EC, European Commission
QC 201611222016-11-222016-10-312016-11-22Bibliographically approved