2019
DOI: 10.1109/access.2019.2946899
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Optimal Sampling for Dynamic Complex Networks With Graph-Bandlimited Initialization

Abstract: Many engineering, social, and biological complex systems consist of dynamical elements connected via a large-scale network. Monitoring the network's dynamics is essential for a variety of maintenance and scientific purposes. Whilst we understand how to optimally sample a single dynamic element or a nondynamic graph, we do not possess a theory on how to optimally sample networked dynamical elements. Here, we study nonlinear dynamic graph signals on a fixed complex network. We define the necessary conditions for… Show more

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Cited by 9 publications
(5 citation statements)
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“…With the help of the dynamic model, we select the speed deviation as the physical networked signal for GLS encryption. To be specific, each bus (node) i is equipped with an IoT sensor (e.g., the phasor measurement unit PMU), aiming at measuring the speed deviation from time to , by sampling rate s [ 41 ] (i.e., discrete-time ). As such, the th element of matrix in Equation (1) is assigned as the measured , with a physical measurement noise (not to be confused with communication SNR), which is used to encrypt (for Tx), process (for relays), and decrypt (for Rx) the transmitted information.…”
Section: Simulations and Resultsmentioning
confidence: 99%
“…With the help of the dynamic model, we select the speed deviation as the physical networked signal for GLS encryption. To be specific, each bus (node) i is equipped with an IoT sensor (e.g., the phasor measurement unit PMU), aiming at measuring the speed deviation from time to , by sampling rate s [ 41 ] (i.e., discrete-time ). As such, the th element of matrix in Equation (1) is assigned as the measured , with a physical measurement noise (not to be confused with communication SNR), which is used to encrypt (for Tx), process (for relays), and decrypt (for Rx) the transmitted information.…”
Section: Simulations and Resultsmentioning
confidence: 99%
“…1). This approach was outlined by our recent work [29,44] (Fig. 2(a)), which minimized sensor deployment number at the penalty of relying on the inverse GFT operator to recover the dynamics, only with the full set of sampled data.…”
Section: Contributionmentioning
confidence: 99%
“…This leads nicely for researchers to consider data informing uncertainty in the parameters and inputs of the system, which enables the quantification of noise [60], optimal sampling theorems on dynamical graphs [61], and the development of stochastic and data-driven control systems [62].…”
Section: ) Conclusion and Limitationsmentioning
confidence: 99%