European Center for Time-Frequency analysis (Foundations, Algorithms and Applications) (EUCETIFA)

EUCETIFA

The objective of the project is the development of the mathematical foundations and efficient algorithms for applications in the areas of communication theory, signal- and image processing, astronomy, geosciences, and related areas. EUCETIFA will promote the systematic transfer of knowledge from problem identification in science or technology to working computer code based on the following principles: a) Openness towards real applications and active identification of promising areas of future relevance; b) Mathematical modelling leading to rigorous and detailed mathematical descriptions of those problems; c) Development of a mathematical framework that ensures correct treatment based on mathematical analysis; d) Development of efficient numerical algorithms that address the numerical and implementational questions; e) Interaction with applied scientists to test these algorithms and establish a ``best practice’’; f) Education and training for team-members and associated PostDocs and PhD students. Spearheaded by the tremendeous impact of wavelets, applied harmonic analysis has proven to be a powerful tool for the treatment of time-varying systems. A recently developed approach with time-frequency methods opens a new view on important classes of pseudo-differential operators of high practical relevance, e.g., for communication theory and for applications in geophysical signal processing. It is one of the goals of this project to bridge the gap between the mathematical analysis and the concrete applications in these areas in order to enable further advances and breakthroughs. The scientific cornerstones are formed by three work-packages: (A) Pseudo-differential operators and time-varying systems and their applications, (B) Sampling and time-frequency analysis (for the optimal extraction of information from valuable data), and (C) Localization methods based on Banach algebra methods, and their consequences for applications.

Karlheinz Gröchenig

Contact Details

Host Institution : Faculty of Mathematics, University of Vienna,

Nordbergstrasse 15, A-1090 Wien, Austria

URL: http://www.univie.ac.at/NuHAG/EUCETIFA/eucetifah.htm

Team Leader: Dr. Karlheinz Gröchenig

URL Team Leader : http://www.univie.ac.at/NuHAG/GROCH/

email: karlheinz.groechenig@univie.ac.at