TY - JOUR
T1 - Real-Time Monitoring Ornstein-Uhlenbeck Process
T2 - Improving Fidelity Under Freshness Guarantees
AU - Zhang, Tianci
AU - Chen, Zhengchuan
AU - Tian, Zhong
AU - Jia, Yunjian
AU - Wang, Min
AU - Quek, Tony Q.S.
N1 - Funding Information:
This work was supported in part by the National Natural Science Foundation of China under Grant 62271092, Grant 61971077, and Grant 62001074; in part by the Chongqing Postdoctoral International Exchange Program under Grant 2021XSJL001, and in part by the National Research Foundation, Singapore; in part by the Infocomm Media Development Authority under its Future Communications Research and Development Programme; and in part by the MOE ARF Tier 2 under Grant T2EP20120-0006.
Publisher Copyright:
© 1997-2012 IEEE.
PY - 2023/6/1
Y1 - 2023/6/1
N2 - This work studies improving the data fidelity for real-time monitoring of an Ornstein-Uhlenbeck process in a sensor-monitor status update system under stringent information freshness provision. Violation probability of age of information (VPA), i.e., the long-term proportion the age of information exceeds a given threshold is adopted to strictly assess freshness. Based on the automatic repeat-request transmission protocol, the VPA at the monitor is derived in closed-form. To evaluate the fidelity, the time-average mean squared error (MSE) between the real-time process value and the estimation at the monitor is also obtained, where the coupling between the time-average MSE and the VPA is characterized in detail. By analyzing the monotonicity of the time-average MSE and the VPA, the optimal quantization precision that achieves the minimal time-average MSE under a given VPA constraint is proposed, where an algorithm for quickly addressing the optimum is also given. Numerical results validate the effectiveness of the proposed optimal quantization design.
AB - This work studies improving the data fidelity for real-time monitoring of an Ornstein-Uhlenbeck process in a sensor-monitor status update system under stringent information freshness provision. Violation probability of age of information (VPA), i.e., the long-term proportion the age of information exceeds a given threshold is adopted to strictly assess freshness. Based on the automatic repeat-request transmission protocol, the VPA at the monitor is derived in closed-form. To evaluate the fidelity, the time-average mean squared error (MSE) between the real-time process value and the estimation at the monitor is also obtained, where the coupling between the time-average MSE and the VPA is characterized in detail. By analyzing the monotonicity of the time-average MSE and the VPA, the optimal quantization precision that achieves the minimal time-average MSE under a given VPA constraint is proposed, where an algorithm for quickly addressing the optimum is also given. Numerical results validate the effectiveness of the proposed optimal quantization design.
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U2 - 10.1109/LCOMM.2023.3262545
DO - 10.1109/LCOMM.2023.3262545
M3 - Article
AN - SCOPUS:85151499913
SN - 1089-7798
VL - 27
SP - 1510
EP - 1514
JO - IEEE Communications Letters
JF - IEEE Communications Letters
IS - 6
ER -