Convolutional dynamical sampling and some new results
Information Theory
2024-07-08 v2 math.IT
Abstract
In this work, we explore the dynamical sampling problem on driven by a convolution operator defined by a convolution kernel. This problem is inspired by the need to recover a bandlimited heat diffusion field from space-time samples and its discrete analogue. In this book chapter, we review recent results in the finite-dimensional case and extend these findings to the infinite-dimensional case, focusing on the study of the density of space-time sampling sets.
Cite
@article{arxiv.2406.15122,
title = {Convolutional dynamical sampling and some new results},
author = {Longxiu Huang and A. Martina Neuman and Sui Tang and Yuying Xie},
journal= {arXiv preprint arXiv:2406.15122},
year = {2024}
}