Application of Hilbert-Huang decomposition to temperature and currents data in the Réunion island

Type Conference article
Date 2016
Language English
Copyright 2016 IEEE
Author(s) Kbaier-Ben Ismail Dhouha1, Lazure Pascal2, Puillat Felix IngridORCID2
Affiliation(s) 1 : Univ Bedfordshire, Dept Comp Sci & Technol, Luton, Beds, England.
2 : IFREMER, ODE DYNECO PHYSED, Issy Les Moulineaux, France.
Meeting OCEANS 2016 MTS/IEEE. 19-23 Sept. 2016, Monterey, CA, USA
Source OCEANS 2016 MTS/IEEE. 19-23 Sept. 2016, Monterey, CA, USA. 978-1-5090-1537-5/16/$31.00. 9p.
DOI 10.1109/OCEANS.2016.7761460
Keyword(s) Cross correlation, empirical mode decomposition (EMD), Hilbert spectral analysis (HSA), Hilbert-Huang transform (HHT), stationarity, time-dependent intrinsic correlation (TDIC), time series, wavelets
Abstract

In marine sciences, time series are often nonlinear and nonstationary. Their analysis faces new challenges and thus requires the implementation of adequate and specific methods. We use the Hilbert-Huang Transform (HHT) for the spectral analysis of high frequency sampled time series in near shore waters of the Réunion island, located in the Indian Ocean 700 km east of Madagascar. We focus particularly on automatic measurements of sea level fluctuations, temperature records and current data sets at four different stations in the island. We look at the contribution of different Intrinsic Mode Functions (IMFs) obtained by the Empirical Mode Decomposition (EMD) and also compare the Hilbert spectra with the wavelet spectra. The inertial wave and several low-frequency tidal waves are identified by the application of EMD. Furthermore, the authors investigate the cross-correlations between data at the different stations. Wavelet coherence and EMD based Time Dependent Intrinsic Correlation (TDIC) analyses are applied to consider the correlation between two nonstationary time series. By TDIC analysis, it was concluded that the high frequency modes have small correlation; whereas the trends are perfectly correlated. The results obtained by wavelet coherence are very similar, thus confirming that both approaches could be used for identification of main properties of marine environmental time series. The methodologies presented in this paper are general and thus can be applied on other time series from the environmental and oceanic sciences, where time series are complex with fluctuations over a large range of different spatial and temporal scales, from seconds to thousands of years.

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Kbaier-Ben Ismail Dhouha, Lazure Pascal, Puillat Felix Ingrid (2016). Application of Hilbert-Huang decomposition to temperature and currents data in the Réunion island. OCEANS 2016 MTS/IEEE. 19-23 Sept. 2016, Monterey, CA, USA. 978-1-5090-1537-5/16/$31.00. 9p. http://archimer.ifremer.fr/doc/00383/49392/