Universal truncation error upper bounds in irregular sampling restoration
Information Theory
2013-07-15 v1 math.IT
Abstract
Universal (pointwise uniform and time shifted) truncation error upper bounds are presented in Whittaker--Kotel'nikov--Shannon (WKS) sampling restoration sum for Bernstein function class when the sampled functions decay rate is unknown. The case of multidimensional irregular sampling is discussed.
Keywords
Cite
@article{arxiv.1307.3332,
title = {Universal truncation error upper bounds in irregular sampling restoration},
author = {Andriy Olenko and Tibor K. Pogány},
journal= {arXiv preprint arXiv:1307.3332},
year = {2013}
}
Comments
13 pages. This is an Author's Accepted Manuscript of an article published in the Applicable Analysis, Vol.90, No. 3-4. (2011), 595--608. [copyright Taylor & Francis], available online at: http://www.tandfonline.com/ [DOI:10.1080/00036810903437754]