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Application of fractional-moments statistics to data for two-phase dielectric mixtures

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dc.contributor.author Nigmatullin R.
dc.contributor.author Osokin S.
dc.contributor.author Nelson S.
dc.date.accessioned 2018-09-18T20:19:19Z
dc.date.available 2018-09-18T20:19:19Z
dc.date.issued 2008
dc.identifier.issn 1070-9878
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/138694
dc.description.abstract A new method for quantitative "reading" of dielectric data of two-phase dielectric mixtures is suggested. This method is based on ideas related to the application of the generalized mean value (GMV) function to random data series (statistics of fractional moments). The GMV function allows transformation of arbitrary random data series to smooth curves that in turn can be fitted by an analytical function with a limited number of parameters. These fitting parameters are sensitive to the influence of an external factor, so the dependence of these parameters on the external factor can be used as calibration curves. In this instance we analyzed dielectric data measured for ground hard red winter wheat with 12.5%, 17.9% and 21.2% moisture contents in the temperature range from 2°C to 76°C. This system is a complex system from the viewpoint of the complexity of the dielectric data interpretation. The common treatment of these dielectric spectra does not provide a monotonic calibration curve. We treated these spectra as random data series by the use of the GMV function. As a result of this treatment, we obtained the monotonic temperature dependence of several fitting parameters for the given moisture contents, and these relationships can be fitted by an analytical function for calibration use. We hope that this new method will find application for analysis of other complex systems. © 2008 IEEE.
dc.relation.ispartofseries IEEE Transactions on Dielectrics and Electrical Insulation
dc.subject Calibration curve
dc.subject Dielectric properties
dc.subject Dielectric spectroscopy
dc.subject Generalized mean value
dc.subject Hard red winter wheat
dc.subject Permittivity
dc.subject Random series
dc.subject Statistics of fractional moments
dc.title Application of fractional-moments statistics to data for two-phase dielectric mixtures
dc.type Article
dc.relation.ispartofseries-issue 5
dc.relation.ispartofseries-volume 15
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 1385
dc.source.id SCOPUS10709878-2008-15-5-SID54949117540


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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