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Volume 32 Issue 9
Oct.  2010
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Li Li, Liu Yong-Pan, Yang Hua-Zhong, Wang Hui. Convergence Analysis and Accelerating Design for Distributed Consensus Time Synchronization Protocol in Wireless Sensor Networks[J]. Journal of Electronics & Information Technology, 2010, 32(9): 2045-2051. doi: 10.3724/SP.J.1146.2009.01234
Citation: Li Li, Liu Yong-Pan, Yang Hua-Zhong, Wang Hui. Convergence Analysis and Accelerating Design for Distributed Consensus Time Synchronization Protocol in Wireless Sensor Networks[J]. Journal of Electronics & Information Technology, 2010, 32(9): 2045-2051. doi: 10.3724/SP.J.1146.2009.01234

Convergence Analysis and Accelerating Design for Distributed Consensus Time Synchronization Protocol in Wireless Sensor Networks

doi: 10.3724/SP.J.1146.2009.01234
  • Received Date: 2009-09-18
  • Rev Recd Date: 2010-03-05
  • Publish Date: 2010-09-19
  • This paper analyzes convergence and acceleration issues of distributed consensus time synchronization protocols in wireless sensor networks. By mapping synchronization iterations to Markov domain, the upper and lower bounds of protocol convergence rate are deduced in circulant networks, which proves that the protocol convergence rate is related to node neighbor size and network size. Matlab simulation results in co-uniform regular networks and co-uniform networks indicate the same conclusion. Moreover, it is found that in co-uniform non-regular networks, the protocol convergence rate will also be affected by neighbor size distribution. So an accelerating algorithm is proposed, which improves the convergence rate of distributed consensus time synchronization protocols by adjusting neighbor size distribution. Experiment results show that in a 100-node co-uniform network, the proposed accelerating algorithm can reduce the iteration counts of the distributed consensus time synchronization protocols by 25%, without any significant variation of the average node transmission radius.
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  • Ganeriwal S, Kumar R, and Srivastava M B. Timing-sync protocol for sensor networks. Proceedings of the First International Conference on Embedded Networked Sensor Systems, Los Angeles, CA, USA, 2003: 138-149.[2]Sommer P and Wattenhofer R. Symmetric clock synchronization in sensor networks. ACM Workshop on Real-World Wireless Sensor Networks, Glasgow, Scotland, 2008: 11-15.[3]Giridhar A and Kumar P R. Distributed clock synchronization over wireless networks: algorithms and analysis. Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, USA, 2006: 4915-4920.[4]Li Q, Rus D. Global clock synchronization in sensor networks[J].IEEE Transactions on Computers.2006, 55(2):214-226[5]Schenato L and Gamba G. A distributed consensus protocol for clock synchronization in wireless sensor network. 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, 2007: 2289-2294.[6]Gang X and Kishore S. Second order distributed consensus time synchronization algorithm for wireless sensor networks. Global Telecommunications Conference, IEEE, New Orleans, LA, USA, 2008: 1-5.[7]Sommer P and Wattenhofer R. Gradient clock synchronization in wireless sensor networks. International Conference on Information Processing in Sensor Networks, San Francisco, USA, 2009: 37-48.Gang X and Kishore S. Performance of distributed consensus time synchronization with gaussian delay in wireless sensor networks.Wireless Communications and Networking Conference, IEEE, Budapest, Hungary, 2009: 1-5.[8]Boyd S, Diaconis P, and Xiao L. Fastest mixing Markov chain on a graph[J].Siam Review.2004, 46(4):667-690[9]Kannan R. Markov chains and polynomial time algorithms. 35th Annual Symposium on Foundations of Computer Science, Santa Fe, New Mexico, USA, 1994: 656-671.
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