Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010agufm.a13b0212b&link_type=abstract
American Geophysical Union, Fall Meeting 2010, abstract #A13B-0212
Astronomy and Astrophysics
Astrophysics
[1650] Global Change / Solar Variability, [3322] Atmospheric Processes / Land/Atmosphere Interactions, [7536] Solar Physics, Astrophysics, And Astronomy / Solar Activity Cycle, [7537] Solar Physics, Astrophysics, And Astronomy / Solar And Stellar Variability
Scientific paper
Hilbert-Huang transform (HHT) is a relatively new data analysis tool which is used to analyze nonstationary and nonlinear time series data. It consists of an algorithm, called empirical mode decomposition (EMD), which extracts the cyclic components embedded within time series data, as well as Hilbert spectral analysis (HSA) which displays the time and frequency dependent energy contributions from each component in the form of a spectrogram. The method can be considered a generalized form of Fourier analysis which can describe the intrinsic cycles of data with basis functions whose amplitudes and phases may vary with time. The HHT will be introduced and compared to current spectral analysis tools such as Fourier analysis, short-time Fourier analysis, wavelet analysis and Wigner-Ville distributions. A number of applications are also presented which demonstrate the strengths and limitations of the tool, including analyzing sunspot number variability and total solar irradiance proxies as well as global averaged temperature and carbon dioxide concentration. Also, near-surface atmospheric quantities such as temperature and wind velocity are analyzed to demonstrate the nonstationarity of the atmosphere.
Barnhart Bradley L.
Eichinger William E.
Prueger J. H.
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