2008
DOI: 10.1098/rspa.2007.0311
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Empirical mode decomposition using rational splines: an application to rainfall time series

Abstract: Empirical mode decomposition ( EMD), a relatively new form of time-series decomposition, has the feature of not assuming that a time series is linear or stationary, as is implicitly done in Fourier analysis. In natural time series such as records of rainfall, streamflow, temperature, etc., where most variables exhibit nonlinear and nonstationary behaviour, this feature is particularly useful, allowing more meaningful quantification of the proportion of variance in a time series due to fluctuations at different… Show more

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Cited by 54 publications
(42 citation statements)
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“…Fourier analysis concentrates on orthogonal "East-West" and "North-South" directions (e.g. Press et al, 1992). Wavelet analysis can, in general, consider any direction of the wavelet relative to the data, however a typical 2-D Wavelet analysis examines only horizontal, vertical and diagonal orthonormal wavelet basis functions (Daubechies, 1992, pp.…”
Section: The Extension Of Emd To 2 Dimensions On the Spherementioning
confidence: 99%
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“…Fourier analysis concentrates on orthogonal "East-West" and "North-South" directions (e.g. Press et al, 1992). Wavelet analysis can, in general, consider any direction of the wavelet relative to the data, however a typical 2-D Wavelet analysis examines only horizontal, vertical and diagonal orthonormal wavelet basis functions (Daubechies, 1992, pp.…”
Section: The Extension Of Emd To 2 Dimensions On the Spherementioning
confidence: 99%
“…One of the difficulties associated with 1-D EMD is the treatment of the ends of the bounding functions, requiring some (non-objective) decisions to be made in order to proceed Pegram et al, 2008). In the application of 2-D EMD in radar fields, the edges of the wet areas are well defined, so the ending problem is solved, since the envelopes of the extrema at any stage of the decomposition process are set implicitly to zero.…”
Section: Introductionmentioning
confidence: 99%
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“…The EMD of a one-dimensional dataset z(k) given on a sequence of points {k} is obtained using the following procedure [6]. c i before each iteration) until this is achieved.…”
Section: Hilbert-huang Transformmentioning
confidence: 99%
“…Recently, in this journal, Pegram et al (2008), expanding on Peel et al (2007), proposed a modification to the EMD algorithm, whereby rational splines replaced cubic splines in the extrema envelope-fitting procedure. The rational spline modification was designed to reduce the variance inflation frequently observed in cubic spline-based EMD components, primarily due to spline overshooting, by introducing a spline tension parameter.…”
Section: Introductionmentioning
confidence: 99%