246 citations
- Austrian Academy of SciencesAT76 papers
- University of ViennaAT26 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- UCLouvainBE4 papers
- Laboratoire des Sciences du Numérique de NantesFR3 papers
- Nantes UniversitéFR3 papers
- Princeton UniversityUS3 papers
- Technical University of DenmarkDK3 papers
- TU WienAT3 papers
- University of MaraghehIR3 papers
- University of Novi SadRS3 papers
- AIT Austrian Institute of Technology GmbHAT2 papers
6 papers · 1 filter
A Proper version of Synthesis-based Sparse Audio Declipper
Pavel Záviška, Pavel Rajmic, Ondřej Mokrý +1
Methods based on sparse representation have found great use in the recovery of audio signals degraded by clipping. The state of the art in declipping has been achieved by the SPADE…
Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing
Peter Balazs, Helmut Harbrecht
For the solution of operator equations, Stevenson introduced a definition of frames, where a Hilbert space and its dual are {\em not} identified. This means that the Riesz isomorph…
Strict density inequalities for sampling and interpolation in weighted spaces of holomorphic functions
Karlheinz Gröchenig, Antti Haimi, Joaquim Ortega-Cerdà +1
Answering a question of Lindholm, we prove strict density inequalities for sampling and interpolation in Fock spaces of entire functions in several complex variables defined by a p…
Revisiting Synthesis Model of Sparse Audio Declipper
Pavel Záviška, Pavel Rajmic, Zdeněk Průša +1
The state of the art in audio declipping has currently been achieved by SPADE (SParse Audio DEclipper) algorithm by Kitić et al. Until now, the synthesis/sparse variant, S-SPADE, h…
U-cross Gram matrices and their invertibility
Peter Balazs, Mitra Shamsabadi, Ali Akbar Arefijamaal +1
The Gram matrix is defined for Bessel sequences by combining synthesis with subsequent analysis operators. If different sequences are used and an operator U is inserted we reach so…
Using B-spline frames to approximate solutions of acoustic scattering problems
Wolfgang Kreuzer
Although frames, which are a generalization of bases, are important tools used in signal processing, their potential in other fields of engineering and applied mathematics (e.g. ac…