Relevant Sampling of Band-limited Functions
Probability
2017-06-21 v1 Information Theory
math.IT
Abstract
We study the random sampling of band-limited functions of several variables. If a bandlimited function with bandwidth one has its essential support on a cube of volume , then random samples suffice to approximate the function up to a given error with high probability.
Cite
@article{arxiv.1203.0146,
title = {Relevant Sampling of Band-limited Functions},
author = {Richard F. Bass and Karlheinz Gröchenig},
journal= {arXiv preprint arXiv:1203.0146},
year = {2017}
}