(M. Holschneider, F. Scherbaum; Potsdam)
 

We want to develop theoretical and numerical tools that allows us to extract dynamical behaviour from wavelet transforms corresponding to multivariate (multichannel) signals. Mathematically this amounts to the construction of an algebra of pseudo differential operators that act in wavelet space via a diffeomorphism deforming the wavelet half-plane. This technique will be applied to the problem of separating seismic signals into components, corresponding to different propagative behaviour. In particular we want to separate surface waves from body waves in seismic records. This will play a major role in enhancing the imaging of the shallow sub-surface and hence in the investigation of local site effects during earthquakes. These tools will be implemented in an interactive software package with adapted visualization tools.