83 citations · 515 across the 58 of their papers we have counts for
4 papers · 1 filter
What is Variable Bandwidth?
Karlheinz Gröchenig, Andreas Klotz
We propose a new notion of variable bandwidth that is based on the spectral subspaces of an elliptic operator where is a strictly positive function. Denote…
Stability of Gabor frames under small time Hamiltonian evolutions
Maurice A. de Gosson, Karlheinz Gröchenig, José Luis Romero
We consider Hamiltonian deformations of Gabor systems, where the window evolves according to the action of a Schrödinger propagator and the phase-space nodes evolve according to th…
Completeness of Gabor systems
Karlheinz Gröchenig, Antti Haimi, José Luis Romero
We investigate the completeness of Gabor systems with respect to several classes of window functions on rational lattices. Our main results show that the time-frequency shifts of e…
Implementation of discretized Gabor frames and their duals
Tobias Kloos, Joachim Stöckler, Karlheinz Gröchenig
The usefulness of Gabor frames depends on the easy computability of a suitable dual window. This question is addressed under several aspects: several versions of Schulz's iterative…