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

Abstract

We prove stability results for a class of Gabor frames in $L^2(\mathbb{R})$. We consider window functions in the Sobolev spaces $H_0^1(\mathbb{R})$ 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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