Analysis of Sunspot Variability Using the Hilbert – Huang Transform

@article{Barnhart2011AnalysisOS,
  title={Analysis of Sunspot Variability Using the Hilbert – Huang Transform},
  author={Bradley L. Barnhart and William Eichinger},
  journal={Solar Physics},
  year={2011},
  volume={269},
  pages={439-449}
}
The Hilbert – Huang transform is a relatively new data analysis technique, which is able to analyze the cyclic components of a potentially nonlinear and nonstationary data series. Monthly sunspot number data from 1749 to 2010 were analyzed using this technique, which revealed the different variability inherent in the data including the 11-year (Schwabe), 20 – 50-year (quasi-Hale) and 60 – 120-year (Gleissberg) cycles. The results were compared with traditional Fourier analysis. The Hilbert… 

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References

SHOWING 1-10 OF 12 REFERENCES

The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis

  • N. HuangZheng Shen Henry H. Liu
  • Mathematics
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1998
A new method for analysing nonlinear and non-stationary data has been developed. The key part of the method is the ‘empirical mode decomposition’ method with which any complicated data set can be

A study of the characteristics of white noise using the empirical mode decomposition method

  • Zhaohua WuN. Huang
  • Physics
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2004
Based on numerical experiments on white noise using the empirical mode decomposition (EMD) method, we find empirically that the EMD is effectively a dyadic filter, the intrinsic mode function (IMF)

Empirical mode decomposition using rational splines: an application to rainfall time series

A suggested improvement to the EMD algorithm, using rational splines and flexible treatment of the end conditions, is outlined and the consequent effect on three exemplary annual rainfall time series is assessed as a proof of concept.

Multiple and changing cycles of active stars - I. Methods of analysis and application to the solar cycles

Context. Long-term observational data have information on the magnetic cycles of active stars and that of the Sun. The changes in the activity of our central star have basic effects on Earth, such as

Long-Term Solar Cycle Evolution: Review of Recent Developments

The sunspot number series forms the longest directly observed index of solar activity and allows one to trace its variations on the time scale of about 400 years since 1610. This time interval covers

Time-frequency analysis

Conventionally, time series have been studied either in the time domain or the frequency domain. The representation of a signal in the time domain is localized in time, i.e. the value of the signal

Ensemble Empirical Mode Decomposition: a Noise-Assisted Data Analysis Method

The effect of the added white noise is to provide a uniform reference frame in the time–frequency space; therefore, the added noise collates the portion of the signal of comparable scale in one IMF.

The Great Solar Anomaly ca. 1780–1800: An error in compiling the record?

The view that the sunspot index time sequence is of lessened validity prior to about 1850 is shown to be consistent with an error in the 1780--1800 time period when phase, offset of the Hale carrier

Empirical mode decomposition as a filter bank

It turns out that EMD acts essentially as a dyadic filter bank resembling those involved in wavelet decompositions, and the hierarchy of the extracted modes may be similarly exploited for getting access to the Hurst exponent.