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2 Basics of wavelets

Wavelets facilitate the combination of frequency domain and spatial domain representations of a signal. The technique allows the treatment of signals which are unsuitable for traditional fourier signal analysis - generally because such assumptions as continuity and stationarity are not required. The name wavelet is meant to suggest the wave packet, which is well localised in both spatial and frequency domains simultaneously. Wavelet analysis was pioneered by Daubechies (1992) (see mathematical text by e.g. Meyer 1993). Further information on the our wavelet analysis is presented elsewhere (Hurley et al. 1997).

 
\begin{figure}
\rotatebox {0}{\resizebox{8.5cm}{!}{\includegraphics*{R48f1.eps}}}
\end{figure} Figure 1: Trigger No. 1606: Original (solid line) and reconstructed (dashed line) time history are almost indistinguishable. The peaks identified by the algorithm are marked

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