LOCETISA

Localized Frame Expansions in Time-Scale Analysis

Coordinatore	UNIVERSITAT WIEN    more  Organization address address: UNIVERSITATSRING 1 city: WIEN postcode: 1010 contact info Titolo: Prof. Nome: Hans Georg Cognome: Feichtinger Email: send email Telefono: 431428000000 Fax: 4314280000000
Nazionalità Coordinatore	Austria [AT]
Totale costo	179˙137 €
EC contributo	179˙137 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2012-IIF
Funding Scheme	MC-IIF
Anno di inizio	2014
Periodo (anno-mese-giorno)	2014-10-01   -   2016-09-30

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	UNIVERSITAT WIEN  Organization address address: UNIVERSITATSRING 1 city: WIEN postcode: 1010 contact info Titolo: Prof. Nome: Hans Georg Cognome: Feichtinger Email: send email Telefono: 431428000000 Fax: 4314280000000	AT (WIEN)	coordinator	179˙137.20

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 Obiettivo del progetto (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.'