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arXiv · 1909.02692

On Critical Sampling of Time-Vertex Graph Signals

Junhao Yu·Xuan Xie·Hui Feng·Bo Hu
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Abstract

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.

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Junhao Yu, Xuan Xie, Hui Feng, Bo Hu. 2019-09-06. On Critical Sampling of Time-Vertex Graph Signals. https://arxiv.org/abs/1909.02692

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