2019
DOI: 10.48550/arxiv.1902.03552
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Sampling and Remote Estimation for the Ornstein-Uhlenbeck Process through Queues: Age of Information and Beyond

Abstract: Recently, a connection between the age of information and remote estimation error was found in a sampling problem of Wiener processes: If the sampler has no knowledge of the signal being sampled, the optimal sampling strategy is to minimize the age of information; however, by exploiting causal knowledge of the signal values, it is possible to achieve a smaller estimation error. In this paper, we generalize the previous study by investigating a problem of sampling a stationary Gauss-Markov process named the Orn… Show more

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Cited by 11 publications
(22 citation statements)
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“…Unlike the traditional queueing delay that is negligible in the case with a low sampling rate (i.e., low arrival rate), the AoI is dominated by the inter-arrival time and thus is rather large in the low sampling rate regime. This key difference has spurred AoI research in several aspects in recent years, e.g., AoI analysis and optimization (e.g., [16], [17]), AoI in vehicular networks (e.g., [18], [19]), online sampling and remote estimation (e.g., [20], [21]), AoI and energy harvesting (e.g., [22], [23], [24]), just to name a few.…”
Section: Related Work and Contextmentioning
confidence: 99%
“…Unlike the traditional queueing delay that is negligible in the case with a low sampling rate (i.e., low arrival rate), the AoI is dominated by the inter-arrival time and thus is rather large in the low sampling rate regime. This key difference has spurred AoI research in several aspects in recent years, e.g., AoI analysis and optimization (e.g., [16], [17]), AoI in vehicular networks (e.g., [18], [19]), online sampling and remote estimation (e.g., [20], [21]), AoI and energy harvesting (e.g., [22], [23], [24]), just to name a few.…”
Section: Related Work and Contextmentioning
confidence: 99%
“…The timeliness can be measured by the age of information (AoI) metric, defined as the time elapsed since the latest message has been retrieved. AoI has been originally studied in queuing networks, e.g., [37], [38], and has found its way into other numerous contexts, see, e.g., [39]- [53], and the recent survey in [54].…”
Section: Introductionmentioning
confidence: 99%
“…It focuses on the freshness of information, which is linear with time, and is irrelevant to context and status evolution. AoI has been studied extensively in recent literatures [5]- [13]. To overcome the linearity limitation of AoI, ref.…”
Section: Introductionmentioning
confidence: 99%