Казанский (Приволжский) федеральный университет, КФУ
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HOW TO REDUCE REPRODUCIBLE MEASUREMENTS TO AN IDEAL EXPERIMENT?
Форма представленияСтатьи в российских журналах и сборниках
Год публикации2014
  • Нигматуллин Равиль Рашидович, автор
  • Осокин Сергей Игоревич, автор
  • Рахматуллин Рафаиль Мансурович, автор
  • Библиографическое описание на языке оригинала R.R. Nigmatullin, R.M. Rakhmatullin, S.I. Osokin How to reduce reproducible measurements to an ideal experiment? // Magn. Reson. Solids (Electr.J.), v.16, N2, 14203 (2014)
    Аннотация Is it possible to suggest a general theory for consideration of reproducible data that are measured in many experiments? One can prove that successive measurements have a memory and this important fact allows separate all data on two large classes: ideal experiments without memory and experiments with a memory. We introduce the concept of an intermediate model (IM) that helps to describe quantitatively a wide class of reproducible data. Experiments with memory require for their description the Prony?s decomposition while experim ents without memory are needed for their presentation the Fourier decomposition only. In other words, it means that a measured function extracted from reproducible data can have a universal description in the form of the amplitude-frequency response (AFR) that belongs to the generalized Prony?s spectrum (GPS). It is shown also how real data distorted by the experimental equipment and how to eliminate these uncontrollable factors in order to reproduce appr
    Ключевые слова Fourier transform, Prony?s decomposition, intermediate model, data/signal processing, EPR measurements with/without memory, apparatus function
    Название журнала Magn. Reson. Solids (Electr. J.)
    URL http://mrsej.ksu.ru/contents/2014/MRSej_14203.pdf
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