6 European Projects Found
Searched on 125080 European Projects
FINISHED
Localized Frame Expansions in Time-Scale Analysis (LOCETISA)
Start date: Oct 1, 2014, End date: Sep 30, 2016,
"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 representat ...
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1
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Generalized Sampling and Infinite-Dimensional Compressed Sensing (GeSIDiCS)
Start date: Apr 1, 2012, End date: Mar 31, 2014,
Sampling theory is one of the mainstays of modern signal processing and encompasses mathematical theory from harmonic analysis, functional analysis, operator theory, approximation theory and computational mathematics. It is a field with a vast amount of applications ranging from medical imaging (Magnetic Resonance Imaging and X-ray Computed Tomography) to sound engineering and image processing.The ...
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1
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Uncertainty principles versus localization properties, function systems for efficient coding schemes (UNLocX)
Start date: Sep 1, 2010, End date: Aug 31, 2013,
Algorithms in signal and image processing have reached an impressive level of sophistication and computing power still increases at an exponential rate. However, high-tech applications have an ever-increasing demand for even more efficient algorithms, even more powerful computers and new concepts for advancing applications.Starting from a recently discovered gap in the theory of uncertainty princi ...
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11
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Special voice transforms and applications (SPEVOTAP)
Start date: Sep 1, 2010, End date: Aug 31, 2012,
"The general goal of this project is to study the properties of the voice transforms generated by the representations of a given locally compact topological group, to reveal the details and understand the mathematical principles that govern the approximation of functions using discrete frames and wavelets, Zernike functions, spherical functions, construction of multiresolution decompositions. Appl ...
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Modern Methods of Operator Algebras for Time-Frequency Analysis (MOTIF)
Start date: Jan 1, 2009, End date: Dec 31, 2011,
"The project is on the interface between time-frequency analysis and operator algebras. In the last decade the relevance of operator algebras in time-frequency analysis and Gabor analysis has evolved mainly due to the contributions of Groechenig, Janssen and their collaborators. The operator algebras that have appeared in these works are twisted group C*-algebras or more generally crossed ...
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Spline-like function spaces with applications to scattered data approximations (SFSASDA)
Start date: Apr 1, 2008, End date: Mar 31, 2010,
"We will develop mathematical methods for scattered data approximation that can be used to implement efficient algorithms in signal processing and related areas. So far, the problem of reconstructing an unknown function from a given discrete set of sampling points has been studied in shift invariant spaces, i.e. spaces generated by translates of a function (or finitely many functions). We propose ...
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