This work merges tools from graph signal processing and linear systems theory to propose sampling strategies for observing the initial state of a process evolving over a graph. The proposed method is ratified by a mathematical analysis that provides insights on the role played by the different actors, such as the graph topology, the process bandwidth, and the sampling strategy. Moreover, conditions when the graph process is observable from a few samples and (sub)optimal sampling strategies that jointly exploit the nature of the graph structure and graph process are proposed. Finally, numerical tests are conducted to illustrate the benefits of the proposed approach.
Observing bandlimited graph processes from subsampled measurements / Isufi, E.; Banelli, P.; Di Lorenzo, P.; Leus, G.. - 2018-:(2019), pp. 737-741. (Intervento presentato al convegno 52nd Asilomar Conference on Signals, Systems and Computers, ACSSC 2018 tenutosi a usa) [10.1109/ACSSC.2018.8645200].
Observing bandlimited graph processes from subsampled measurements
Banelli P.;Di Lorenzo P.;
2019
Abstract
This work merges tools from graph signal processing and linear systems theory to propose sampling strategies for observing the initial state of a process evolving over a graph. The proposed method is ratified by a mathematical analysis that provides insights on the role played by the different actors, such as the graph topology, the process bandwidth, and the sampling strategy. Moreover, conditions when the graph process is observable from a few samples and (sub)optimal sampling strategies that jointly exploit the nature of the graph structure and graph process are proposed. Finally, numerical tests are conducted to illustrate the benefits of the proposed approach.File | Dimensione | Formato | |
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