19 citations · 53 across the 37 of their papers we have counts for
50 papers
Dynamical Sampling in Graph Paley--Wiener Spaces
Iulia Martina Bulai, Carlos Cabrelli, Elena Cordero +2
We study dynamical sampling for graph signals using the spectral theory of the normalized graph Laplacian. Graph Paley-Wiener spaces GPW_w are defined as spectral subspaces associa…
Dynamical Sampling: A Survey
Akram Aldroubi, Carlos Cabrelli, Ilya Krishtal +1
Dynamical sampling refers to a class of problems in which space-time samples are taken from a signal evolving under an underlying dynamical system. The goal is to use these samples…
Submodules of and Frames by Pairs of Bounded Commuting Operators
Victor Bailey, Carlos Cabrelli
Recent work in Dynamical Sampling has been centered on characterizing frames obtained by the orbit of a vector under a bounded operator. We prove a necessary and sufficient conditi…
Optimal Dynamical Frames
A. Aguilera, C. Cabrelli, F. Negreira +1
Motivated by the dynamical sampling problem, we study frames in an infinite dimensional Hilbert space generated by the iterates of a bounded operator T, also known as dynamical fra…
Periodic Source Detection in Discrete Dynamical Systems via space-time sampling
Akram Aldroubi, Carlos Cabrelli, Ursula Molter
In this paper, we examine a discrete dynamical system defined by x(n+1) = Ax(n)+ w(n), where x takes values in a Hilbert space H and w is a periodic source with values in a fixed c…
Weaving Riesz Bases
Carlos Cabrelli, Ursula Molter, Felipe Negreira
This paper explores woven frames in separable Hilbert spaces with an initial focus on the finite-dimensional case. We begin by simplifying the problem to bases, for which we obtain…