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arXiv · 1605.01706

Stability results for Gabor frames and the p-order hold models

Laura De Carli·Pierluigi Vellucci
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Abstract

We prove stability results for a class of Gabor frames in $ L^2(\R)$. We consider window functions in the Sobolev spaces $H^1_0(\R)$ and B-splines of order $p\ge 1$. Our results can be used to describe the effect of the timing jitters in the $p$-order hold models of signal reconstruction.

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Laura De Carli, Pierluigi Vellucci. 2016-05-05. Stability results for Gabor frames and the p-order hold models. https://doi.org/10.1016/j.laa.2017.09.020

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