abstract:

The main directions of the proposed naha project are within the field of applied and computational harmonic analysis, which lies at the intersection of harmonic analysis and numerical methods, with immediate relevance to areas like signal processing, geophysics, image analysis and the solution of pseudo-differential equations. The project is to be carried out at »NuHAG, the Numerical Harmonic Analysis Group at the University of Vienna under the direction of »Hans G. Feichtinger.

The long-term goal is to develop state-of-the-art algorithms on the basis of recent research insight accomplished by the members of the »NuHAG, and computational experience obtained in the last decade. Of primary interest are efficient and fast algorithms for signal processing as they arise in many application fields, for example in connection with real-time applications. Specific areas include the sampling of band limited signals, or real-time algorithms for wireless communications. This research is also expected to result in immediate technological advances and possibly patents.

A history of significant previously secured funding for theoretical and less computing intensive applied work is presented, the most recent examples being the »MOHAWI (funded by WWTF) and the »EUCETIFA (Marie Curie Excellence Grant of the European Commission) grants. The award would be used as seed money to help further scientific advances and applications for grants on computational projects, most immediately from FP7, the European Seventh Framework Programme. The group activities would also allow to broaden the basis for interdisciplinary projects within the University of Vienna and beyond and to widen the existing interdisciplinary network.

by H.G. Feichtinger (Coordinator) and K. Gröchenig (Coapplicant) »