On Stability of Sampling-Reconstruction Models

Details On Stability of Sampling-Reconstruction Models On Stability of Sampling-Reconstruction Models

2007-05-29

arxiv.org/abs/0705.4309v1

Mathematics

General Mathematics

26 pages

Scientific paper

A 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.

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