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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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Hauptverfasser: Farag, Nayel (VerfasserIn) , Wagner, Achim (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 05 June 2003
In: IEE proceedings. Science, measurement and technology
Year: 2003, Jahrgang: 150, Heft: 2, Pages: 65-74
ISSN:1359-7094
DOI:10.1049/ip-smt:20030224
Online-Zugang:Verlag, kostenfrei registrierungspflichtig, Volltext: https://dx.doi.org/10.1049/ip-smt:20030224
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Verfasserangaben:N. Farag, S. Holten, A. Wagner, H. Kliem

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520 |a 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. 
650 4 |a back-transform 
650 4 |a dielectric relaxation 
650 4 |a dielectrics 
650 4 |a distribution domain 
650 4 |a distribution functions 
650 4 |a Fourier transform 
650 4 |a Fourier transforms 
650 4 |a frequency-domain analysis 
650 4 |a frequency-domain spectra 
650 4 |a iterative methods 
650 4 |a Kramers Kronig relations 
650 4 |a Kramers-Kronig relations 
650 4 |a noise 
650 4 |a numerical method 
650 4 |a numerical transformations 
650 4 |a relaxational systems 
650 4 |a smoothing procedure 
650 4 |a stability 
650 4 |a time-domain analysis 
650 4 |a time-domain spectra 
650 4 |a wide-range frequency-domain relaxational spectra 
650 4 |a wide-range time-domain relaxational spectra 
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