Analysis of Non-Linear Age of Information in Industrial Internet of Things for Non-Linear Energy Harvesting
To address the growing demand for information freshness in the Industrial Internet of Things(IIoT),this study proposes an IIoT monitoring system based on non-linear Energy Harvesting(EH),which consists of a single sensor and data collection node.The sensor nodes,equipped with rechargeable batteries of size B,harvests Radio Frequency(RF)energy from a Wireless Power Station(WPS)using non-linear EH to charge their batteries.Once the batteries are fully charged,the collected data are transmitted to a data collection node.To avoid the problem of increasing system complexity caused by setting multiple non-linear Age of Information(AoI)algorithms in complex scenes,this study also introduces a universal function to describe the different shapes of the non-linear AoI,where the shape of the functional image is controlled by adjusting the size of the parameter.Simultaneously,the study derives a closed-form expression for the system's non-linear AoI and introduces the concept of Energy Efficiency(EE).The ratio of these two metrics Ψ serves as the performance indicator for the system.Due to the complexity of the problem,identifying its convexity or concavity is challenging.Therefore,this study also employs a One-Dimensional(1-D)search approach to determine the optimal battery capacity for the system.System simulations and numerical analysis demonstrate the existence of a minimum battery capacity that minimizes the system.The simulation results indicate that system parameters such as the channel fading parameter,sizes of state updates,and the transmission power of WPS all affect the system's performance and must be considered when designing related systems.Notably,Ψ under exponential-shape non-linear AoI is double that under logarithmic-shape non-linear AoI and approximately 1.8 times that under linear AoI when the transmission power of WPS is 0.5 W.
Industrial Internet of Things(IIoT)non-linear Energy Harvesting(EH)transmission successful probabilitynon-linear Age of Information(AoI)Energy Efficiency(EE)
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维普
