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Numerical fitting of MTS calibration curves by fractional calculus fitting

The article «Quality control of the initial magnetotelluric data: Analysis of calibration curves using a fitting function represented by the ratio of 4th-order polynomials» (Nigmatullin R.R.; Bataleva E.A.; Nepeina K.S.; Matiukov V.E.) was prepared in the Laboratory of Deep Magnetotelluric Investigations (LDMI) and published by Measurement journal of first quartile, indexed in Web of Science. The research has been conducted conducted under the state assignment of Research Station RAS and Project «Priority 2030».

A personalized URL link provides 50 days' free access to the article before June 20, 2023:

https://authors.elsevier.com/a/1g-nbxsQaMHTn

Nigmatullin R.R.; Bataleva E.A.; Nepeina K.S.; Matiukov V.E. Quality control of the initial magnetotelluric data: analysis of calibration curves using a fitting function represented by the ratio of 4th-order polynomials // Measurement, 2023, 216, 112914, https://doi.org/10.1016/j.measurement.2023.112914.

Highlights:

  • Universal fractional calculus fitting curve enables to fit 4 normalized calibration curves.
  • The standard deviation between the tested box and the pattern box in average is at least than 1%.
  • The calibration curves identity proves the high quality of field data in mountainous conditions.
  • The pair of “amplitudes” and “degrees” – 4 calibration curves in total, are observed with the fitting function as two polynomials ratio of fourth degree function F(x) containing 9 fitting parameters (C0-7, B0), simply calculated as numeric constants through linear least squares method (LLSM).
  • The relative error evaluating the fitting 9 parameters (C0-7, B0) is less than 0.25%.
  • Routine calibration process could be used as an etalon searching in the normalized form.
  • The fitting parameter D demonstrates “a quality” of calibration of the tested box compared with the reference one.

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