A few remarks on sampling of signals with small spectrum
Shahaf Nitzan, Alexander Olevskii, Alexander Ulanovskii
TL;DR
This paper investigates the existence of near-optimal sampling sequences for Paley-Wiener spaces associated with small measure sets, focusing on achieving densities and bounds close to theoretical limits.
Contribution
It provides new insights into constructing sampling sequences with densities and bounds near the optimal for signals with small spectral support.
Findings
Existence of sampling sequences with near-optimal density.
Sampling bounds close to theoretical optimal.
Applicable to signals with small spectral measure.
Abstract
Given a set of small measure, we discuss existence of sampling sequences for the Paley-Wiener space , which have both densities and sampling bounds close to the optimal ones.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Harmonic Analysis Research · Mathematical Approximation and Integration