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
9 papers · 1 filter
Sampling Theorems for Shift-invariant Spaces, Gabor Frames, and Totally Positive Functions
Karlheinz Gröchenig, José Luis Romero, Joachim Stöckler
We study nonuniform sampling in shift-invariant spaces and the construction of Gabor frames with respect to the class of totally positive functions whose Fourier transform factors…
The Weyl-Heisenberg ensemble: hyperuniformity and higher Landau levels
Luís Daniel Abreu, João M. Pereira, José Luis Romero +1
Weyl-Heisenberg ensembles are a class of determinantal point processes associated with the Schrödinger representation of the Heisenberg group. Hyperuniformity characterizes a state…
A Guide to Localized Frames and Applications to Galerkin-like Representations of Operators
Peter Balazs, Karlheinz Gröchenig
This chapter offers a detailed survey on intrinsically localized frames and the corresponding matrix representation of operators. We re-investigate the properties of localized fram…
Frame Theory for Signal Processing in Psychoacoustics
Peter Balazs, Nicki Holighaus, Thibaud Necciari +1
This review chapter aims to strengthen the link between frame theory and signal processing tasks in psychoacoustics. On the one side, the basic concepts of frame theory are present…
Reproducing pairs and Gabor systems at critical density
Michael Speckbacher, Peter Balazs
We use the concept of reproducing pairs to study Gabor systems at critical density. First, we present a generalization of the Balian-Low theorem to the reproducing pairs setting. T…
A Non-iterative Method for (Re)Construction of Phase from STFT Magnitude
Zdeněk Průša, Peter Balazs, Peter L. Søndergaard
A non-iterative method for the construction of the Short-Time Fourier Transform (STFT) phase from the magnitude is presented. The method is based on the direct relationship between…