5 papers · 1 filter
Variations on two Cabrelli's works
Elona Agora, Jorge Antezana, Diana Carbajal
In this paper we present two different problems within the framework of shift-invariant theory. First, we develop a triangular form for shift-preserving operators acting on finitel…
Model agnostic signal encoding by leaky integrate and fire, performance and uncertainty
Diana Carbajal, José Luis Romero
Integrate-and-fire is a resource efficient time-encoding mechanism that summarizes into a signed spike train those time intervals where a signal's charge exceeds a certain threshol…
Random periodic sampling patterns for shift-invariant spaces
Jorge Antezana, Diana Carbajal, José Luis Romero
We consider multi-variate signals spanned by the integer shifts of a set of generating functions with distinct frequency profiles and the problem of reconstructing them from sample…
The structure of group preserving operators
Davide Barbieri, Carlos Cabrelli, Diana Carbajal +2
In this paper, we prove the existence of a particular diagonalization for normal bounded operators defined on subspaces of where is a second coun…
Dynamical Sampling for Shift-preserving Operators
A. Aguilera, C. Cabrelli, D. Carbajal +1
In this note, we solve the dynamical sampling problem for a class of shift-preserving operators acting on a finitely generated shift-invariant space . We find conditi…