Using the method of natural orthogonal components for separating the partially nonorthogonal variations of the geomagnetic field

Mathematics

Scientific paper

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Geomagnetism, Magnetic Variations, Orthogonal Functions, Magnetic Recording, Matrices (Mathematics), Weighting Functions

Scientific paper

It is shown that the method of natural orthogonal components can be used for separating the partially nonorthogonal variations of the geomagnetic field, provided that there exist series of variations of independent sources that are fully orthogonal over the time period of the study, and observation points are located on the surface in such a way that the synchronous values of these variations are partially nonorthogonal. The method is modified by using weight coefficients that are inversely proportional to the difference between the measured series and each function of the orthogonal components obtained in a conventional manner. The modified method has been tested on artificial models corresponding to different types of geomagnetic data.

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