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arXiv · 2411.12670

Reconstructing Graph Signals from Noisy Dynamical Samples

Akram Aldroubi·Victor Bailey·Ilya Krishtal·Brendan Miller·Armenak Petrosyan
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Abstract

We investigate the dynamical sampling space-time trade-off problem within a graph setting. Specifically, we derive necessary and sufficient conditions for space-time sampling that enable the reconstruction of an initial band-limited signal on a graph. Additionally, we develop and test numerical algorithms for approximating the optimal placement of sensors on the graph to minimize the mean squared error when recovering signals from time-space measurements corrupted by i.i.d.~additive noise. Our numerical experiments demonstrate that our approach outperforms previously proposed algorithms for related problems.

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Akram Aldroubi, Victor Bailey, Ilya Krishtal, Brendan Miller, Armenak Petrosyan. 2024-11-19. Reconstructing Graph Signals from Noisy Dynamical Samples. https://arxiv.org/abs/2411.12670

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