On Nyquist-Shannon Theorem with one-sided half of sampling sequence
Information Theory
2016-03-22 v2 math.IT
Spectral Theory
Abstract
The classical sampling Nyquist-Shannon-Kotelnikov theorem states that a band-limited continuous time function can be uniquely recovered without error from a infinite two-sided sampling series taken with a sufficient frequency. This short note shows that the function can be recovered from any one-sided semi-infinite half of any oversampling series, with the same boundary for admissible frequencies as in the classical theorem.
Cite
@article{arxiv.1603.04174,
title = {On Nyquist-Shannon Theorem with one-sided half of sampling sequence},
author = {Nikolai Dokuchaev},
journal= {arXiv preprint arXiv:1603.04174},
year = {2016}
}