71 citations · 351 across the 26 of their papers we have counts for
4 papers · 1 filter
Rotationally invariant time-frequency scattering transforms
Wojciech Czaja, Weilin Li
In this paper we construct directionally sensitive functions that can be viewed as directional time-frequency representations. We call such a sequence a rotational uniform covering…
Analysis of time-frequency scattering transforms
Wojciech Czaja, Weilin Li
In this paper we address the problem of constructing a feature extractor which combines Mallat's scattering transform framework with time-frequency (Gabor) representations. To do t…
Discrete Directional Gabor Frames
Wojciech Czaja, Benjamin Manning, James M. Murphy +1
We develop a theory of discrete directional Gabor frames for functions defined on the -dimensional Euclidean space. Our construction incorporates the concept of ridge functions…
The Balian--Low theorem for the symplectic form on
John J. Benedetto, Wojciech Czaja, Andrei Ya. Maltsev
In this paper we extend the Balian--Low theorem, which is a version of the uncertainty principle for Gabor (Weyl--Heisenberg) systems, to functions of several variables. In particu…