[논문]Alternating Sunspot Area and Hilbert Transform Analysis

Kim, Bang-Yeop; Chang, Heon-Young

doi:10.5140/jass.2011.28.4.261

[국내논문] Alternating Sunspot Area and Hilbert Transform Analysis 원문보기

Journal of astronomy and space sciences, v.28 no.4, 2011년, pp.261 - 265

Kim, Bang-Yeop (Geostationary Satellite Control Department, Satellite Operations and Application Division, Korea Aerospace Research Institute) , Chang, Heon-Young (Department of Astronomy and Atmospheric Sciences, Kyungpook National University)

Abstract ▼ AI-Helper

We investigate the sunspot area data spanning from solar cycles 1 (March 1755) to 23 (December 2010) in time domain. For this purpose, we employ the Hilbert transform analysis method, which is used in the field of information theory. One of the most important advantages of this method is that it enables the simultaneous study of associations between the amplitude and the phase in various timescales. In this pilot study, we adopt the alternating sunspot area as a function of time, known as Bracewell transformation. We first calculate the instantaneous amplitude and the instantaneous phase. As a result, we confirm a ~22-year periodic behavior in the instantaneous amplitude. We also find that a behavior of the instantaneous amplitude with longer periodicities than the ~22-year periodicity can also be seen, though it is not as straightforward as the obvious ~22-year periodic behavior revealed by the method currently proposed. In addition to these, we note that the phase difference apparently correlates with the instantaneous amplitude. On the other hand, however, we cannot see any obvious association of the instantaneous frequency and the instantaneous amplitude. We conclude by briefly discussing the current status of development of an algorithm for the solar activity forecast based on the method presented, as this work is a part of that larger project.

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문제 정의

For forecasting space weather and understanding the solar magnetic field, studying solar activity is of great importance. Our ultimate goal in this study is to develop an algorithm that can be used to predict the solar activity in various timescales at the same time. Rather than examining possible associations of the amplitude with other properties of solar activity over different timescales separately, as is commonly done, we are utilizing the Hilbert transform method as a consistent tool that can be adjusted in the timescale of interest.

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