Numerical transformations of wide-range time- and frequency-domain relaxational spectra

A numerical method is presented, which allows the calculation of distribution functions for relaxational systems from measured time-domain and frequency-domain spectra. The method is a further development of an earlier published algorithm to compute distribution functions from time-domain measuremen...

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Bibliographic Details
Main Authors: Farag, Nayel (Author) , Wagner, Achim (Author)
Format: Article (Journal)
Language:English
Published: 05 June 2003
In: IEE proceedings. Science, measurement and technology
Year: 2003, Volume: 150, Issue: 2, Pages: 65-74
ISSN:1359-7094
DOI:10.1049/ip-smt:20030224
Online Access:Verlag, kostenfrei registrierungspflichtig, Volltext: https://dx.doi.org/10.1049/ip-smt:20030224
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Author Notes:N. Farag, S. Holten, A. Wagner, H. Kliem
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Summary:A numerical method is presented, which allows the calculation of distribution functions for relaxational systems from measured time-domain and frequency-domain spectra. The method is a further development of an earlier published algorithm to compute distribution functions from time-domain measurements. Besides the back-transform of time and frequency data, the new algorithms also allow the numerical calculation of the Kramers-Kronig relations and a Fourier transform using the distribution domain. A presumed distribution is altered and adjusted iteratively by the comparison of data calculated from the assumed spectrum with the measured data. A smoothing procedure is carried out to gain stability against noise.
Item Description:Gesehen am 13.01.2020
Physical Description:Online Resource
ISSN:1359-7094
DOI:10.1049/ip-smt:20030224