6 citations · 9 across the 6 of their papers we have counts for
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Gabor frames for model sets
Ewa Matusiak
We generalize three main concepts of Gabor analysis for lattices to the setting of model sets: Fundamental Identity of Gabor Analysis, Janssen's representation of the frame operato…
Frames of translates for model sets
Ewa Matusiak
We study spanning properties of a family of functions translated along simple model sets. We characterize tight frame and dual frame generators for such irregular translates and we…
Nonstationary Gabor Frames - Approximately Dual Frames and Reconstruction Errors
Monika Dörfler, Ewa Matusiak
Nonstationary Gabor frames, recently introduced in adaptive signal analysis, represent a natural generalization of classical Gabor frames by allowing for adaptivity of windows and…
Nonstationary Gabor Frames - Existence and Construction
Monika Dörfler, Ewa Matusiak
Nonstationary Gabor frames were recently introduced in adaptive signal analysis. They represent a natural generalization of classical Gabor frames by allowing for adaptivity of win…
A constructive inversion framework for twisted convolution
Yonina C. Eldar, Ewa Matusiak, Tobias Werther
In this paper we develop constructive invertibility conditions for the twisted convolution. Our approach is based on splitting the twisted convolution with rational parameters into…