On Stability of Sampling-Reconstruction Models

Simple item page
dc.creatorcosta-Reyes, E.
dc.creatorAldroubi, A.
dc.creatorKrishtal, I.
dc.date2007-05-29
dc.date.accessioned2026-07-07T08:03:34Z
dc.date.available2026-07-07T08:03:34Z
dc.descriptionA useful sampling-reconstruction model should be stable with respect to different kind of small perturbations, regardless whether they result from jitter, measurement errors, or simply from a small change in the model assumptions. In this paper we prove this result for a large class of sampling models. We define different classes of perturbations and quantify the robustness of a model with respect to them. We also use the theory of localized frames to study the frame algorithm for recovering the original signal from its samples.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0705.4309
dc.identifierhttp://arxiv.org/abs/0705.4309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129622
dc.subjectGeneral Mathematics
dc.subjectFunctional Analysis
dc.subject42C15
dc.titleOn Stability of Sampling-Reconstruction Models
dc.typetext

Files

Collections

arXiv