Empirical Mode Decomposition applied to solar irradiance, global temperature, sunspot number, and CO2 concentration data

Barnhart, Bradley; Eichinger, W. E.

doi:10.1016/j.jastp.2011.04.012

Cited by 51 publications

(27 citation statements)

References 18 publications

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“…Alternately, the frequency resolution requires longer time spans. This leads to conflicting requirements (Heisenberg-Gabor inequality) and restrains this method from many practical applications (Barnhart and Eichinger, 2011). The wavelet analysis has been applied to diagnose climate changes.…”

Section: Introductionmentioning

confidence: 99%

Possible link between Holocene East Asian monsoon and solar activity obtained from the EMD method

Liu

Zhen-shan

et al. 2012

Nonlin. Processes Geophys.

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Abstract. It is thought that East Asian monsoon (EAM)is linked and sensitive to solar activity. In this paper, we have decomposed the Dongge cave speleothem δ 18 O record (proxy for EAM), and 14 C and 10 Be (proxies for solar activity) time series into variations at different time scales with the empirical mode decomposition (EMD) method to reveal the possible link between the EAM variability and solar activity. There are some common cycles in the EAM and solar variability from centennial to millennial scales, indicating a possible link between EAM and solar activity at these time scales. The correlation between EAM and solar activity is much higher at millennial scales than at centennial scales, which means direct responses to the solar variation are more likely at time scales longer than a few hundred years. At ∼ 30, 60 and 600 yr time scales, the variation in EAM is amplified by the solar amplitude modulation at ∼ 100, 200 and 2200 yr time scales.

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Section: Introductionmentioning

confidence: 99%

Possible link between Holocene East Asian monsoon and solar activity obtained from the EMD method

Liu

Zhen-shan

et al. 2012

Nonlin. Processes Geophys.

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“…The different steps involved in Stoch Environ Res Risk Assess the procedure are presented below (following Barnhart and Eichinger 2011;Massei and Fournier 2012):…”

Section: Statistical Significance Test For Imf Componentsmentioning

confidence: 99%

“…IMFs of monsoon rainfall time series in four meteorological subdivisions-(a) Assam-Meghalaya, (b) Kerala, (c) Orissa, (d) Telangana Stoch Environ Res Risk Assess time series is calculated by dividing the number of data samples by the number of maxima points (computed based on number of zero crossings)(Barnhart and Eichinger 2011). At least five meaningful periodic scales could be identified from the decomposition while the last few modes are indicating the long term climate variability.…”

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confidence: 99%

Time–frequency characterization of sub-divisional scale seasonal rainfall in India using the Hilbert–Huang transform

Reddy

Adarsh

2015

Stoch Environ Res Risk Assess

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Time-frequency characterization is useful in understanding the nonlinear and non-stationary signals of the hydro-climatic time series. The traditional Fourier transform, and wavelet transform approaches have certain limitations in analyzing non-linear and non-stationary hydro-climatic series. This paper presents an effective approach based on the Hilbert-Huang transform to investigate time-frequency characteristics, and the changing patterns of sub-divisional rainfall series in India, and explored the possible association of monsoon seasonal rainfall with different global climate oscillations. The proposed approach integrates the complete ensemble empirical mode decomposition with adaptive noise algorithm and normalized Hilbert transform method for analyzing the spectral characteristics of two principal seasonal rainfall series over four meteorological subdivisions namely Assam-Meghalaya, Kerala, Orissa and Telangana subdivisions in India. The Hilbert spectral analysis revealed the dynamic nature of dominant time scales for two principal seasonal rainfall time series. From the trend analysis of instantaneous amplitudes of multiscale components called intrinsic mode functions (IMFs), it is found that both intra and inter decadal modes are responsible for the changes in seasonal rainfall series of different subdivisions and significant changes are noticed in the amplitudes of inter decadal modes of two seasonal rainfalls in the four subdivisions since 1970s. Further, the study investigated the links between monsoon rainfall with the global climate oscillations such as Quasi Bienniel Oscillation (QBO), El Nino Southern Oscillation (ENSO), Sunspot Number (SN), Atlantic Multidecadal Oscillation (AMO) etc. The study noticed that the multiscale components of rainfall series IMF1, IMF2, IMF3, IMF4 and IMF5 have similar periodic structure of QBO, ENSO, SN, tidal forcing and AMO respectively. As per the seasonal rainfall patterns is concerned, the results of the study indicated that for Assam-Meghalaya subdivision, there is a likelihood of extreme rare events at *0.2 cycles per year, and both monsoon and pre-monsoon rainfall series have decreasing trends; for Kerala subdivision, extreme events can be expected during monsoon season with shorter periodicity (*2.5 years), and monsoon rainfall has statistically significant decreasing trend and post-monsoon rainfall has a statistically significant increasing trend; and for Orissa subdivision, there are chances of extremes rainfall events in monsoon season and a relatively stable rainfall pattern during post-monsoon period, but both monsoon and post-monsoon rainfall series showed an overall decreasing trend; for Telangana subdivision, there is a likelihood of extreme events during monsoon season with a periodicity of *4 years, but both monsoon and post-monsoon rainfall series showed increasing trends. The results of correlation analysis of IMF components of monsoon rainfall and five climate indices indicated that the association is expressed well only for low frequency modes wit...

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“…Given the nonlinear and nonstationary character of solar radiation measurements (Zeng et al, 2013), the Hilbert-Huang Transform (HHT) is a natural choice since it has been specifically designed for the analysis of such data (Barnhart and Eichinger, 2011). The spectral picture rendered by the HHT is compared to the one obtained by the now classical Continuous Wavelet Transform (CWT) (Torrence and Compo, 1998), highlighting the commonly shared and contrasting features of the two representations.…”

Section: Introductionmentioning

confidence: 99%

On the temporal variability of the surface solar radiation by means of spectral representations

2016

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Abstract. This work deals with the temporal variability of daily means of the global broadband surface solar irradiance (SSI) impinging on a horizontal plane by studying a decennial time-series of high-quality measurements recorded at a BSRN ground station. Since the data have a non-linear and non-stationary character, two time-frequency-energy representations of signal processing are compared in their ability to resolve the temporal variability of the pyranometric signal. First, the continuous wavelet transform is used to construct the wavelet power spectrum of the data. Second, the adaptive, noise-assisted empirical mode decomposition is employed to extract the intrinsic mode functions of the signal, followed by Hilbert spectral analysis. In both spectral representations, the temporal variability of the SSI is portrayed having clearly distinguishable features: a plateau between scales of two days and two-three months that has decreasing power with increasing scale, a large spectral peak corresponding to the annual variability cycle, and a low power regime in between the previous two. It is shown that the data-driven, noise-assisted method yields a somewhat more sparse representation and that it is a suitable tool for inspecting the temporal variability of SSI measurements.

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Empirical Mode Decomposition applied to solar irradiance, global temperature, sunspot number, and CO2 concentration data

Cited by 51 publications

References 18 publications

Possible link between Holocene East Asian monsoon and solar activity obtained from the EMD method

Possible link between Holocene East Asian monsoon and solar activity obtained from the EMD method

Time–frequency characterization of sub-divisional scale seasonal rainfall in India using the Hilbert–Huang transform

On the temporal variability of the surface solar radiation by means of spectral representations

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