Joint time-vertex graph signals are pervasive in real-world. This paper focuses on the fundamental problem of sampling and reconstruction of joint time-vertex graph signals. We prove the existence and the necessary condition of a critical sampling set using minimum number of samples in time and graph domain respectively. The theory proposed in this paper suggests to assign heterogeneous sampling pattern for each node in a network under the constraint of minimum resources. An efficient algorithm is also provided to construct a critical sampling set.
@article{arxiv.1909.02692,
title = {On Critical Sampling of Time-Vertex Graph Signals},
author = {Junhao Yu and Xuan Xie and Hui Feng and Bo Hu},
journal= {arXiv preprint arXiv:1909.02692},
year = {2019}
}