Wavelet

nature/library.bib

@@ -91,3 +91,13 @@
 	school={Université de Pau et des Pays de l'Adour},
 	chapter={4},
 }
+@article{torrence1998,
+  title={A practical guide to wavelet analysis},
+  author={Torrence, Christopher and Compo, Gilbert P},
+  journal={Bulletin of the American Meteorological society},
+  volume={79},
+  number={1},
+  pages={61--78},
+  year={1998},
+  publisher={American Meteorological Society}
+}

nature/main.tex

@@ -126,6 +126,28 @@ the crest increases, with a zone reaching 400m long in front of the wave where t
 	qualitatively estimated position of the wave crest.}\label{fig:swash_trans}
 \end{figure*}
 
+\subsection{Wavelet analysis}
+
+In an attempt to understand the identified wave, a wavelet analysis is conducted on raw buoy data as well as at
+different points along the SWASH model using the method proposed by \textcite{torrence1998}. The results are displayed
+in Figure~\ref{fig:wavelet} and Figure~\ref{fig:wavelet_sw}. The wavelet power spectrum shows that the major component
+in the identified wave is a high energy infragravity wave, with a period of around 60s.
+
+The SWASH model seems to indicate that the observed transformation of the wave can be characterized by a transfer of
+energy from the infragravity band to shorter waves from around 600m to 300m, and returning to the infragravity band at
+200m.
+
+\begin{figure*}
+	\centering
+	\includegraphics{fig/wavelet9312.pdf}
+	\caption{Normalized wavelet power spectrum from the raw buoy timeseries.}\label{fig:wavelet}
+\end{figure*}
+\begin{figure*}
+	\centering
+	\includegraphics{fig/wavelet_sw.pdf}
+	\caption{Normalized wavelet power spectrum along the SWASH domain.}\label{fig:wavelet_sw}
+\end{figure*}
+
 \subsection{Hydrodynamic conditions on the breakwater}
 
 The two-dimensionnal olaFlow model near the breakwater allowed to compute the flow velocity near and on the breakwater
@@ -145,6 +167,8 @@ exhibits a water level over 5m for over 40s.
 
 \section{Discussion}
 
+
+
 \section{Methods}
 \printbibliography
 \end{document}