118 citations · 790 across the 44 of their papers we have counts for
8 papers · 1 filter
Redundant Representation of Operators
Peter Balazs, Georg Rieckh
To be able to solve operator equations numerically a discretization of those operators is necessary. In the Galerkin approach bases are used to achieve discretized versions of oper…
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…
Inpainting of long audio segments with similarity graphs
Nathanael Perraudin, Nicki Holighaus, Piotr Majdak +1
We present a novel method for the compensation of long duration data loss in audio signals, in particular music. The concealment of such signal defects is based on a graph that enc…