Content area

Abstract

What are the main findings?

A novel DSTS architecture was proposed, integrating Bayesian filtering with DDPG reinforcement learning to solve synchronization in Challenging environments.

The DSTS architecture achieved a final frequency synchronization precision of 4×1010 and a phase precision of 5×1010 s.

What are the implications of the main findings?

The fusion of ToF and CIR data via Bayesian filtering provides an effective method to address non-linear communication errors and propagation path state uncertainty.

The use of a DDPG agent as an “attention-like” mechanism is a viable strategy for managing network heterogeneity.

Timing and time synchronization are critical capabilities of Global Navigation Satellite Systems (GNSSs), but their performance deteriorates significantly in challenging environments like urban canyons and tunnels. To address this issue, this paper proposes the Distributed Sensor Time Synchronization architecture (DSTS), a novel architecture integrating Bayesian filtering with deep reinforcement learning. DSTS utilizes Bayesian filtering to fuse Time-of-Flight (ToF) measurements with Channel Impulse Response features for real-time compensation of non-linear errors and accurate path state prediction. Concurrently, the Deep Deterministic Policy Gradient (DDPG) algorithm trains each node into an intelligent agent that dynamically learns optimal synchronization weights based on local information like neighbor clock stability and link quality. This allows the architecture to adaptively amplify reliable nodes while mitigating the negative effects of unstable peers and adverse channels, ensuring high accuracy and availability. Simulation experiments based on a real-world UWB dataset demonstrate the architecture’s exceptional performance. The Bayesian filtering module effectively mitigates non-linear errors, reducing the standard deviation of ToF measurements in NLOS scenarios by up to 51.6% (over 41.2% consistently) while achieving high path state prediction accuracy (>85% static, >95% simulated dynamic). In simulated dynamic and heterogeneous networks, the DDPG algorithm achieves a synchronization accuracy better than traditional average-consensus algorithms, ultimately reaching a frequency and phase precision of 4×1010 and 5×1010 s, respectively.

Details

1009240
Title
Robust High-Precision Time Synchronization for Distributed Sensor Systems in Challenging Environments
Author
Wang, Zhouji 1   VIAFID ORCID Logo  ; Lyu Daqian 2   VIAFID ORCID Logo  ; Zhou, Peiyuan 3 ; Ge Yulong 4 ; Hu, Yao 4 ; Zhu Rangang 1 ; Wang, Wei 5 ; Yang Xiaoniu 5 

 College of Electronic Engineering, National University of Defense Technology, Hefei 230037, China; [email protected] (Z.W.); 
 College of Electronic Engineering, National University of Defense Technology, Hefei 230037, China; [email protected] (Z.W.);, National Key Laboratory of Electromagentic Space Security, Jiaxing 314033, China 
 Institute of Geospatial Information, Information Engineering University, Zhengzhou 450001, China 
 College of Marine Science and Engineering, Nanjing Normal University, Nanjing 210023, [email protected] (Y.H.) 
 National Key Laboratory of Electromagentic Space Security, Jiaxing 314033, China 
Publication title
Volume
17
Issue
22
First page
3715
Number of pages
30
Publication year
2025
Publication date
2025
Publisher
MDPI AG
Place of publication
Basel
Country of publication
Switzerland
Publication subject
e-ISSN
20724292
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
Publication history
 
 
Online publication date
2025-11-14
Milestone dates
2025-09-05 (Received); 2025-11-10 (Accepted)
Publication history
 
 
   First posting date
14 Nov 2025
ProQuest document ID
3275550258
Document URL
https://www.proquest.com/scholarly-journals/robust-high-precision-time-synchronization/docview/3275550258/se-2?accountid=208611
Copyright
© 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2025-11-26
Database
ProQuest One Academic