Objective
A frame is a family of vectors in a Hilbert space, which allows representation of arbitrary elements by (continuous) superposition. Important examples of frames appear in time-frequency analysis, wavelet analysis and sampling theory.
We propose a new class of algorithms based on randomization for approximating elements (usually functions) with frames. The basic idea is to select randomly frame elements and based on this determine an approximation to a given input vector (signal, function).
Applications include signal and image processing, wireless communication and the numerical treatment of operator equations. In the proposed project we intend to investigate properties of the algorithm, in particular its performance, both theoretically and based on tests wit h computer implementations.
Motivated by very promising results already available for a few special cases, we are convinced that the proposed algorithm will perform very efficiently.
The candidate has gained experience on frame theory, time-frequency analysis, wavelet analysis and (abstract) harmonic analysis in several previous research projects, in particular, in his doctoral thesis and his diploma thesis at the Technical University of Munich.
The candidate will investigate the project at the Numerical Harmonic Analysis Group (NuHAG), University of Vienna, whose key scientists are Prof. H.G. Feichtinger and Prof. K. Grochenig (team leader of MC Exc. Grant). NuHAG is a leading research group in the field of frame theory, time-frequency analysis and sampling theory - both for theoretical and numerical aspects.
The NuHAG team with its expertise will provide an ideal and stimulating international research environment for the proposed project allowing the candidate to strengthen his professional skills in many ways towards a European academic career.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- engineering and technology electrical engineering, electronic engineering, information engineering electronic engineering signal processing compressed sensing
- natural sciences mathematics pure mathematics algebra linear algebra
- natural sciences mathematics pure mathematics mathematical analysis
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2004-MOBILITY-5
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
VIENNA
Austria
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.