Reconstructing Graph Signals from Noisy Dynamical Samples
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915026095308800 |
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| author | Aldroubi, Akram Bailey, Victor Krishtal, Ilya Miller, Brendan Petrosyan, Armenak |
| author_facet | Aldroubi, Akram Bailey, Victor Krishtal, Ilya Miller, Brendan Petrosyan, Armenak |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reconstructing Graph Signals from Noisy Dynamical Samples Aldroubi, Akram Bailey, Victor Krishtal, Ilya Miller, Brendan Petrosyan, Armenak Information Theory 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. |
| title | Reconstructing Graph Signals from Noisy Dynamical Samples |
| topic | Information Theory |
| url | https://arxiv.org/abs/2411.12670 |