Hilbert Transform for Analysis of Daily Changes of the Earth Magnetic Field

Abstract

Modeling of the Earth magnetic field variations as periodically non-stationary random process (PNRP) is represented. Results of processing real-life time-series by PNRP methods are analyzed and model of magnetic field daily variations in the form of superposition of stochastically amplitude and phase-modulated harmonics with daily frequency and its multiples is proposed. The covariance and spectral structures of the quadratures for the individual components wich was separated using Hilbert transform are considered. It is show that individual component are jontly PNRP. Obtained results can be usefull for parameterization and computer simulation of the daily variations of Earth magnetic field.