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Content archived on 2024-05-29

European centre for Time-Frequency Analysis (Foundations, Algorithms and Applications) (EUCETIFA)

Objective

The core competence of the team is the development of mathematical foundations and efficient algorithms for applications in the areas of communication theory, signal- and image processing, astronomy, geosciences, and related areas. The team-leader, Profess or Karlheinz Gröchenig, is full professor in the USA and recognized as an international leader in this field.

EUCETIFA will promote systematic transfer of knowledge from problem identification in science or technology to working computer code by following the principles outlined below:
a) Openness towards applications, actively identifying promising areas of future relevance;
b) Mathematical modelling, leading to rigorous and detailed mathematical descriptions of those problems;
c) Development of the mathematical framework that ensures correct treatment based on math analysis;
d) Development of efficient numerical algorithms, addressing numerical and implementational questions;
e) Interaction with applied scientists to test these algorithms and establish 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.

The methods developed by the team-leader open a new view on important classes of pseudo-differential operators of high relevance e.g. for communication theory or applications in geophysical signal processing. It is one of the goals of this project to bridge the gap between these areas in order to enable further advances and breakthroughs.

Three work-packages form the scientific cornerstones:
(A) Pseudo-Differential Operators and Time-variant processes and their applications,
(B) Sampling and Time-Frequency analysis (with the general goal of optimal extraction of information from valuable data), and
(C) Localization methods based on Banach algebra methods, and their consequences for applications.

Fields of science (EuroSciVoc)

Topic(s)

Call for proposal

FP6-2002-MOBILITY-8
See other projects for this call

Funding Scheme

EXT - Marie Curie actions-Grants for Excellent Teams

Coordinator

UNIVERSITY OF VIENNA, AUSTRIA
EU contribution
No data
Total cost
No data