Objective
A frame expansion is a representation of a general signal (function) as a weighted superimposition of basic building blocks. Diverse operations on functions can be understood by first considering their action on these basic atoms. Similarly, several subtle properties of functions (e.g. smoothness, decay, directional regularity) are encoded in the coefficients (weights) involved in the representation.
The usefulness of frame expansions, both in theory and applications, comes from the possibility of designing dictionaries of atoms with prescribed properties. The counterpart of this flexibility is redundancy. In order to construct dictionaries with certain properties one often has to give up perfect independence between different atoms, thus yielding a redundant expansion.
Redundant representations also entail a number of technical problems because not all operations on the coefficients of a frame expansion have an exact counterpart in the signal being represented. The theory of localized frames aims at overcoming these technical obstacles by relaxing the notion of independence to the one of low correlation. This project addresses these topics with a special emphasis on time-scale analysis, aiming at providing a framework where the tools associated with a redundant frame perform comparably to the ones associated with a non-redundant one, and give in addition a very valuable extra flexibility.
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.
FP7-PEOPLE-2012-IIF
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
1010 WIEN
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.