Hilbert Spectral Analysis Applied to Rotation Residuals of the Solar Convection Zone

Details Hilbert Spectral Analysis Applied to Rotation Residuals of the Solar Convection Zone Hilbert Spectral Analysis Applied to Rotation Residuals of the Solar Convection Zone

May 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agusm..sp31a06k&link_type=abstract

American Geophysical Union, Spring Meeting 2001, abstract #SP31A-06

Other

7522 Helioseismology, 7536 Solar Activity Cycle (2162), 7594 Instruments And Techniques

Scientific paper

We apply Empirical Mode Decomposition and Hilbert spectral analysis to time series of rotation residuals at all latitudes and at all depths in the solar convection zone derived from 49 data sets obtained by the Global Oscillation Network Group (GONG) project covering the period 1995 May 7 to 2000 May 15. The Hilbert spectral analysis is a tool to analyze nonlinear and nonstationary signals and is used to localize events in time-frequency space. We calculate Hilbert power spectra, power as a function of time and frequency, for each time series in order to determine whether the rotation rate in the solar convection zone shows any other systematic temporal variation besides the torsional oscillation pattern in the upper convection zone and the 1.3-yr periodicity near the base of the convection zone. In addition, we calculate the amount of power contained in the torsional oscillation signal as a function of time, latitude, and radius to study the variation of the torsional oscillation pattern. For example, the degree of stationarity of the torsional oscillation doubles between surface layers and a depth of about 8%\ of the solar radius. This indicates that the torsional oscillation pattern disappears with increasing depth in agreement with previous studies. We will present the latest results of this investigation.

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