Combined wavelet and principal component analysis (WEof) of a scale-oriented model of coastal ocean gravity waves

Modeling the deep convection in the northwestern Mediterranean Sea using an eddy‐permitting and an eddy‐resolving model: Case study of winter 1986–1987

“…The 3‐D primitive equation coastal ocean model SYMPHONIE is described in detail by Marsaleix et al [2006]. It has recently been used to study wind‐induced circulation in the Gulf of Lions [ Estournel et al , 2003; Auclair et al , 2003; Petrenko et al , 2005], circulation in the Bay of Fos [ Ulses et al , 2005], dense water formation in the Gulf of Lions [ Dufau‐Julliand et al , 2004] and in the Gulf of Thermaikos [ Estournel et al , 2005], and internal gravity waves [ Pairaud and Auclair , 2005]. The horizontal grid is orthogonal, with a 3 km grid spacing 3.5 times smaller than the first Rossby deformation radius: the model is eddy‐resolving.…”

RETRACTED: A critical review of internal wave dynamics. Part 1 – Remote sensing and in-situ observations

“…This method utilizes the wavelet empirical orthogonal functions and is called WEof Analysis. Pairaud and Auclair (2005) described this method in detail in combination with time-frequency wavelet analysis as shown in Farge (1992). It also has another function, that is, spatial PCA for the recognition of coherent physical structures.…”

Separating surface storage from hyporheic retention in natural streams using wavelet decomposition of acoustic Doppler current profiles

“…Wavelet analysis has been used extensively in the past decade to analyze both time series and spatial data in geophysical and engineering applications. Examples include the analysis of streamflows [ Coulibaly and Burn , 2004], seismogram data [ Lockwood and Kanamori , 2006], long‐term trends in geomagnetic activity [ De Artigas et al , 2006], and ocean waves [ Pairaud and Auclair , 2005]. Wavelet analysis [ Mallat , 1989] allows the original signal or image to be split into different components so that each component can be studied with a resolution that is suitable for its scale.…”