Gravitation smoothing of time series (spectral properties)
S. M. Agayana, D. A. Kamaevab, Sh. R. Bogoutdinovca, A. S. Pavelevd
a Geophysical Center RAS
b NPO Taifun, Russian Federal Survey
for Hydrometeorology and Environmental Monitoring
c Schmidt Institute of Physics of the Earth RAS
d SHTORM Technology Ltd
This article continues the cycle of works by authors on the development of mathematical aspects
methods of artificial intelligence for the processing of observations conducted under the guidance of academician A.D. Gvishiani, which was began in 2000. It is devoted to a new universal method of smoothing, originally intended for the analysis of geophysical time series. Gravitational smoothing formed the basis for studying the acceleration of the secular course of the Earth's main magnetic field with using of the observational data of the INTERMAGNET network. But the properties of the smoothing operator have not been studied so far. This aticle is first step to this goal.
gravitation smoothing, discrepancy of gravitational smoothing, proximity measures, smoothing operator, eigenvalues, spectral properties.
|Russian Science Foundation
|The study was funded by a grant from the Russian science Foundation (project 16-17-00121).
PDF file (608 kB)
S. M. Agayan, D. A. Kamaev, Sh. R. Bogoutdinov, A. S. Pavelev, “Gravitation smoothing of time series (spectral properties)”, Chebyshevskii Sb., 19:4 (2018), 11–25
Citation in format AMSBIB
\by S.~M.~Agayan, D.~A.~Kamaev, Sh.~R.~Bogoutdinov, A.~S.~Pavelev
\paper Gravitation smoothing of time series (spectral properties)
\jour Chebyshevskii Sb.
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