Project Details
Projekt
Wavelet- and Frame-based treatments of variational problems with applications in geophysical data processing (in particular ocean margin analysis)
Applicant
Professor Dr. Gerd Teschke
Subject Area
Mathematics
Term
from 2001 to 2008
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 5332810
Most applications in signal processing, e.g. surveying production processes or analyzing meteorological data (air pressure, wind speed, etc.), require quantitative estimates of the relevant system parameters. The success of continuous wavelet methods in this field depends on an optimized choice of the basic wavelet and on adapted tools for evaluating the resulting wavelet transform. The main aim of this project is the investigation of construction principles for 1D and multidimensional wavelets, which are based on different optimization criteria (localization, uncertainty principles, reproducing kernels, diffusion equations). The related continuous wavelet transform will be used to investigate real atmospheric data (cooperation with Deutscher Wetterdienst, Lindenberg and Dr. Pompe, Greifswald). Real life data are contaminated by measurement noise, usually this is not properly modeled as white noise. Optimized processing methods therefore require to analyze the underlying stochastic noise model (cooperation Prof. Franke, Kaiserslautern).
DFG Programme
Priority Programmes
