English

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

Functional Analysis 2017-10-03 v3

Abstract

We prove stability results for a class of Gabor frames in L2(R) L^2(\R). We consider window functions in the Sobolev spaces H01(R)H^1_0(\R) and B-splines of order p1p\ge 1. Our results can be used to describe the effect of the timing jitters in the pp-order hold models of signal reconstruction.

Keywords

Cite

@article{arxiv.1605.01706,
  title  = {Stability results for Gabor frames and the p-order hold models},
  author = {Laura De Carli and Pierluigi Vellucci},
  journal= {arXiv preprint arXiv:1605.01706},
  year   = {2017}
}
R2 v1 2026-06-22T13:54:11.363Z