Analysis of amplitude-phase disturbances of the rhythmic structure of Wolf numbers

Astronomy and Astrophysics – Astronomy

Scientific paper

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Random Signals, Signal Analysis, Solar Activity, Solar Cycles, Time Series Analysis, Amplitudes, Mathematical Models, Phase Shift, Stochastic Processes

Scientific paper

A statistical analysis of the rhythmic structure of monthly average Wolf numbers is performed by using algorithms specially developed for this purpose. A method for eliminating amplitude-phase distortions of a rhythmic signal is described, and an algorithm for transforming stochastic signals with a disturbed rhythmic structure is developed. Application of the method and algorithm to the rhythmic structure of monthly average Wolf numbers shows that there are rather significant pauses between individual cycles of Wolf numbers. It is found that the time series of Wolf numbers can be treated as a sequence of statistically stable cycle with randomly varying amplitude, duration, and phase.

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