DOI QR코드

DOI QR Code

Analysis of Real-time Error for Remote Estimation Based on Binary Markov Chain Model

이진 마르코프 연쇄 모형 기반 실시간 원격 추정값의 오차 분석

  • Lee, Yutae (Department of Information and Communications Engineering, Dong-eui University)
  • Received : 2021.12.16
  • Accepted : 2022.01.16
  • Published : 2022.02.28

Abstract

This paper studies real-time error in the context of monitoring a symmetric binary information source over a delay system. To obtain the average real-time error, the delay system is modeled and analyzed as a discrete time Markov chain with a finite state space. Numerical analysis is performed on various system parameters such as state transition probabilities of information source, transmission times, and transmission frequencies. Given state transition probabilities and transmission times, we investigate the relationship between the transmission frequency and the average real-time error. The results can be used to investigate the relationship between real-time errors and age of information.

Keywords

Acknowledgement

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT).(No. NRF-2021R1A2C1011756)

References

  1. G. Rule and E. Akyol, "Strategic remote estimation," in Proceeding of the 54th Asilomar Conference on Signals, Systems, and Computers, CA, USA, pp. 751-757, Nov. 2020.
  2. Y. Lee, "Freshness ratio of information: a new metric for age of information," Electronics Letters, vol. 56, no. 3, pp. 139-141, Feb. 2020. https://doi.org/10.1049/el.2019.2020
  3. C. Kam, S. Kompella, and A. Ephremides, "Age of incorrect information for remote estimation of a binary Markov source," in Proceeding of the IEEE INFOCOM 2020 - IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS), ON, Canada, pp. 1-6, Jul. 2020.
  4. A. Maatouk, S. Kriouile, M. Assaad, and A. Ephremides, "The Age of Incorrect Information: A New Performance Metric for Status Updates," IEEE/ACM Transactions on Networking, vol. 28, no. 5, pp. 2215-2228, Oct. 2020. https://doi.org/10.1109/tnet.2020.3005549
  5. E. Verbitskiy, "Thermodynamics of the binary symmetric channel," Pacific Journal of Mathematics for Industry, vol. 8, no. 2, 2016.
  6. Y. Lee, "Performance of dynamic spectrum access scheme using embedded Markov chain," Journal of the Korea Institute of Information and Communication Engineering, vol. 17, no. 9, pp. 2036-2040, Sep. 2013. https://doi.org/10.6109/JKIICE.2013.17.9.2036
  7. J. Mo, Performance Modeling of Communication Networks with Markov Chains, Morgan & Claypool, 2010.