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The methodical errors of the method for noninvasive mag-netic-induction research

Keywords:

A.A. Zhilnikov - Engineer, Department of Information Measurement and Biomedical Engineering, Ryazan State Radio Engineering University
E-mail: ark9876@mail.ru
T.A. Zhilnikov - Ph. Dr.(Eng.), Associate Professor, Department of Mathematics and Information Technology Management, Academy of the Federal Penitentiary Service of Russia
E-mail: quadrus02@mail.ru
V.I. Zhulev - Dr.Sc. (Eng.), Professor, Head of Department of Information-Measuring and Biomedical Engineering, Ryazan State Radio Engineering University, Laureate of the Ryazan Region on Science and Technology and the Silver Medal Academician V.F. Utkin, Honored Worker of Higher School of Russian Federation
E-mail: zhulev.v.i@rsreu.ru


The original method of noninvasive magnetic induction research, which allows to obtain images of the spatial arrangement of fer-romagnetic components inside biological objects, is considered in the article. The hidden reserve to increase the sensitivity of the method is to seek guidance on the identification and analysis of methodological errors in order to reduce or even eliminate their influence on the final result of the study.
The relevance of such analytical research is related to the fact that the initial data and the results of the noninvasive magnetic in-duction study are of a statistical nature. The resulting fluctuations (random deviations) are determined by the instability of the field-setting effect. In addition, randomness is the cause of possible fluctuations, which corresponds to the process of interaction of magnetic radiation with ferromagnetic inclusions of the bioobject.
The functions of the linear projection of plane sums for a given statistical model analyze the statistical characteristics of the pro-cedures used for the magnetic induction study method.
Errors that affect the accuracy of the potential achievable in the magnetoinduction experiment were investigated in the article. Formulas for estimating the error of the finite transformation of the initial function, the error of frequency masking, parasitic am-plitude modulation of the spectrum, the error in differentiating the initial function with a limited spectrum were presented.
On the basis of the results obtained during the measurements, it became possible to achieve the maximum degree of exclusion or allowance for the effect of systematic errors by eliminating the sources of errors prior to the start of measurements, determining corrections, and introducing results and estimating the boundaries of nonexcluded systematic errors.

References:
  1. Zhil'nikov A.A., Zhil'nikov T.A., Zhulev V.I. Poluchenie izobrazheniya raspredeleniya magnitnogo polya vnutri biologicheskix ob''ektov // Biomediczinskaya radioe'lektronika. 2011. № 7. S. 41–46.
  2. Zhil'nikov A.A., Zhil'nikov T.A., Zhulev V.I. Konczeptual'naya model' sposoba nerazrushayushhego izmereniya magnitny'x polej vnutri biologicheskix ob''ektov // Biomediczinskaya radioe'lektronika. 2012. № 7 S. 37–43.
  3. Zhil'nikov A.A., Zhil'nikov T.A., Zhulev V.I. Nerazrushayushhaya registracziya raspredeleniya plotnosti magnitnogo potoka vnutri biologicheskix ob''ektov // Biomediczinskaya radioe'lektronika. 2013. № 7. S. 26–31.
  4. Zhil'nikov A.A., Zhil'nikov T.A., Zhulev V.I. Vy'chislitel'noe modelirovanie proczedury' primeneniya sposoba magnitoindukczionnogo issledovaniya dlya analiza formy' skry'ty'x magnitny'x inorodny'x vklyuchenij vnutri biologicheskix ob''ektov // Biomediczinskaya radioe'lektronika. 2014. № 7. S. 33–43.
  5. Zhil'nikov A.A., Zhil'nikov T.A., Zhulev V.I. Razrabotka i fizicheskoe obosnovanie realizaczii informaczionno-izmeritel'noj sistemy' magnitoindukczionnogo issledovaniya biologicheskix ob''ektov // Biomediczinskaya radioe'lektronika. 2015. № 5. S. 14–20.
  6. Zhil'nikov A.A., Zhil'nikov T.A., Zhulev V.I. Prakticheskaya realizacziya sistemy' neinvazivnogo magnitoindukczionnogo issledovaniya biologicheskix ob''ektov // Biomediczinskaya radioe'lektronika. 2016. № 6. S. 27–37.
  7. Patent № 2548405 (RF), MKP G01N27/83. Ustrojstvo dlya nerazrushayushhej differenczial'noj vektornoj trexmernoj magnitoskopii / A.A. Zhil'nikov, T.A. Zhil'nikov, V.I. Zhulev, M.B. Kaplan.
  8. Bendat Dzh., Pirsol A. Prikladnoj analiz sluchajny'x danny'x: Per. s angl. M.: Mir. 1989. 540 s.
  9. Patent № 2490659 (RF), MPK G01R33/00. Sposob nerazrushayushhego ob''emnogo izmereniya vektornoj funkczii magnitnoj indukczii neodnorodno raspredelennogo v prostranstve i periodicheski izmenyayushhegosya vo vremeni magnitnogo polya / A.A. Zhil'nikov, T.A. Zhil'nikov, V.I. Zhulev.
June 24, 2020
May 29, 2020

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