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arXiv · 0705.4309

On Stability of Sampling-Reconstruction Models

E. costa-Reyes·A. Aldroubi·I. Krishtal
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Abstract

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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E. costa-Reyes, A. Aldroubi, I. Krishtal. 2007-05-29. On Stability of Sampling-Reconstruction Models. https://arxiv.org/abs/0705.4309

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