6 citations · 9 across the 6 of their papers we have counts for
7 papers
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…
Sub-Nyquist Sampling of Short Pulses
Ewa Matusiak, Yonina C. Eldar
We develop sub-Nyquist sampling systems for analog signals comprised of several, possibly overlapping, finite duration pulses with unknown shapes and time positions. Efficient samp…
Non-Invertible Gabor Transforms
Ewa Matusiak, Tomer Michaeli, Yonina C. Eldar
Time-frequency analysis, such as the Gabor transform, plays an important role in many signal processing applications. The redundancy of such representations is often directly relat…