2006
DOI: 10.1016/j.jhydrol.2005.02.029
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Using non-decimated wavelet decomposition to analyse time variations of North Atlantic Oscillation, eddy kinetic energy, and Ukrainian precipitation

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Cited by 30 publications
(13 citation statements)
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“…As stated by Torrence (1997), wavelet analysis provides an unbiased method of examining the variations in variance of a time series compared to the biased method of the windowed Fourier transform (Kaiser, 1994). According to Loboda et al (2006), wavelets have brought a revolution in both theory and practice for the identification of non‐stationary signals and the study of co‐variability of various time series in frequency and time domains. We apply the statistical tests developed by Torrence and Compo (1998).…”
Section: Methodsmentioning
confidence: 99%
“…As stated by Torrence (1997), wavelet analysis provides an unbiased method of examining the variations in variance of a time series compared to the biased method of the windowed Fourier transform (Kaiser, 1994). According to Loboda et al (2006), wavelets have brought a revolution in both theory and practice for the identification of non‐stationary signals and the study of co‐variability of various time series in frequency and time domains. We apply the statistical tests developed by Torrence and Compo (1998).…”
Section: Methodsmentioning
confidence: 99%
“…In particular, the continuous wavelet transform (CWT) was applied to determine if a time series shows a nonstationary behavior at different frequencies or periods. The nonstationarity of the NAO has been studied before using wavelet analysis [ Appenzeller et al , 1998; Loboda et al , 2006; Massei et al , 2007], but here we applied the method to monthly instead of annual means, which reveals the NAO's dominant mode of variability on a monthly time scale. Moreover, we also applied the CWT to the sulfate AOD for the period 1979–2008.…”
Section: Methodsmentioning
confidence: 99%
“…It reveals the completion of time–scale representation of localized frequency information and transient phenomena occurring at different time scales. The literature indicates that wavelet analysis is useful in the investigation of periodic phenomena and leads to precise results especially in the temporal variability of processes (Labat, ; Wang et al ., ; Loboda et al ., ). For the annual runoff time series f ( t ), the continuous wavelet transform is calculated as Wf(a,b)=||a12+ftrue(ttrue)trueψ¯()tbadtwhere W f ( a , b ) is the wavelet transform coefficient, ψ ( t ) is the mother wavelet, a is a scale parameter and b is a time parameter.…”
Section: Methodsmentioning
confidence: 99%