Sampling time-frequency localized functions and constructing localized time-frequency frames
Functional Analysis
2016-12-28 v1
Abstract
We study functions whose time-frequency content are concentrated in a compact region in phase space using time-frequency localization operators as a main tool. We obtain approximation inequalities for such functions using a finite linear combination of eigenfunctions of these operators, as well as a local Gabor system covering the region of interest. These would allow the construction of modified time-frequency dictionaries concentrated in the region.
Cite
@article{arxiv.1507.07291,
title = {Sampling time-frequency localized functions and constructing localized time-frequency frames},
author = {Monika Dörfler and Gino Angelo Velasco},
journal= {arXiv preprint arXiv:1507.07291},
year = {2016}
}