Relevant sampling of the short-time Fourier transform of time-frequency localized functions
Functional Analysis
2017-08-01 v1
Abstract
We study the random sampling of the short-time Fourier transform of functions that are localized in a compact region in the time-frequency plane. We follow the approach introduced by Bass and Gr\"ochenig for band-limited functions, and show that with a high, controllable probability, a sufficiently dense set of local random samples from the region of concentration in the time-frequency plane yields a sampling inequality for the short-time Fourier transform of time-frequency localized functions on the region.
Keywords
Cite
@article{arxiv.1707.09634,
title = {Relevant sampling of the short-time Fourier transform of time-frequency localized functions},
author = {Gino Angelo Velasco},
journal= {arXiv preprint arXiv:1707.09634},
year = {2017}
}