On the different derivatives of the half spectral density

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Abstract

The half spectral density is normally used as primary data by frequency-domain output-only identification techniques. It is defined as the Fourier transform of the half (positive part) of the correlation function. The classical way of computing the half spectral density consists of disregarding the negative part of the correlation function. It turns out, however, that when the negative part is neglected, a discontinuity is created around zero. It is well known that this discontinuity introduces increasing constant noise levels in the frequency domain, which is normally reduced by dividing the initial value of the correlation function by a factor of two. In this paper, different ways of reducing the discontinuity are considered, and the effect of these modifications on the increased noise in the frequency domain is studied.
Original languageEnglish
Title of host publicationIOMAC 2017 - 7th International Operational Modal Analysis Conference
Number of pages6
Publication date2017
Pages285-290
Publication statusPublished - 2017
Event7th International Operational Modal Analysis Conference - Ingolstadt, Germany
Duration: 10 May 201712 May 2017
Conference number: 7

Conference

Conference7th International Operational Modal Analysis Conference
Number7
CountryGermany
CityIngolstadt
Period10/05/201712/05/2017

Cite this

Brincker, R., & Diord Rescinho Amador, S. (2017). On the different derivatives of the half spectral density. In IOMAC 2017 - 7th International Operational Modal Analysis Conference (pp. 285-290)