A Time Synchronization Hop-Count-Control Algorithm Based on Synchronization Error Convergence Probability Estimation

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Publikašuvnnas:Electronics vol. 14, no. 10 (2025), p. 2086
Váldodahkki: Duan Haibo
Eará dahkkit: Shi Fanrong, Wang Sijie, Cui Qiushi, Zeng, Min
Almmustuhtton:
MDPI AG
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022 |a 2079-9292 
024 7 |a 10.3390/electronics14102086  |2 doi 
035 |a 3211939322 
045 2 |b d20250101  |b d20251231 
084 |a 231458  |2 nlm 
100 1 |a Duan Haibo  |u School of Information and Control Engineering, Southwest University of Science and Technology, Mianyang 621010, Chinazyhrex0410@163.com (S.W.); fzengm@swust.edu.cn (M.Z.) 
245 1 |a A Time Synchronization Hop-Count-Control Algorithm Based on Synchronization Error Convergence Probability Estimation 
260 |b MDPI AG  |c 2025 
513 |a Journal Article 
520 3 |a High-precision time synchronization is regarded as the foundation for ensuring the stable operation of microgrids and for the coordinated sensing, communication, and computing among network devices. In multi-hop wireless sensor networks, it is observed that both the accumulation of synchronization errors and the associated communication overhead are increased with the number of hops; however, in single-hop mode, it is found that the rate of error convergence is insufficient to satisfy the requirements for rapid synchronization. To address these challenges, a hop-control time synchronization algorithm based on the estimation of synchronization error convergence probability is proposed. In the proposed method, the convergence probability of the synchronization error at each node and its rate of change are estimated online, so that the synchronization hop count can be dynamically adjusted: during the synchronization establishment phase, a larger hop count is employed to accelerate error convergence; during the synchronization maintenance phase, the minimal hop count is utilized to maintain long-term high-precision synchronization, thereby ensuring synchronization accuracy and significantly reducing communication overhead. MATLAB simulation results are reported to have demonstrated that the proposed algorithm exhibits marked advantages in convergence speed, synchronization accuracy, and energy consumption as compared to fixed-hop-count and pure single-hop schemes, thereby providing an effective solution for efficient time synchronization in multi-hop wireless sensor networks. 
653 |a Accuracy 
653 |a Global positioning systems--GPS 
653 |a Control theory 
653 |a Control algorithms 
653 |a Convergence 
653 |a Distributed generation 
653 |a Network topologies 
653 |a Adaptability 
653 |a Mathematical models 
653 |a Communication 
653 |a Sensors 
653 |a Wireless sensor networks 
653 |a Algorithms 
653 |a Crystal oscillators 
653 |a Errors 
653 |a Time synchronization 
653 |a Energy consumption 
700 1 |a Shi Fanrong  |u School of Information and Control Engineering, Southwest University of Science and Technology, Mianyang 621010, Chinazyhrex0410@163.com (S.W.); fzengm@swust.edu.cn (M.Z.) 
700 1 |a Wang Sijie  |u School of Information and Control Engineering, Southwest University of Science and Technology, Mianyang 621010, Chinazyhrex0410@163.com (S.W.); fzengm@swust.edu.cn (M.Z.) 
700 1 |a Cui Qiushi  |u School of Electrical Engineering, Chongqing University, Chongqing 400044, China; qcui@cqu.edu.cn 
700 1 |a Zeng, Min  |u School of Information and Control Engineering, Southwest University of Science and Technology, Mianyang 621010, Chinazyhrex0410@163.com (S.W.); fzengm@swust.edu.cn (M.Z.) 
773 0 |t Electronics  |g vol. 14, no. 10 (2025), p. 2086 
786 0 |d ProQuest  |t Advanced Technologies & Aerospace Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3211939322/abstract/embedded/H09TXR3UUZB2ISDL?source=fedsrch 
856 4 0 |3 Full Text + Graphics  |u https://www.proquest.com/docview/3211939322/fulltextwithgraphics/embedded/H09TXR3UUZB2ISDL?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/3211939322/fulltextPDF/embedded/H09TXR3UUZB2ISDL?source=fedsrch