On the scalability of cooperative time synchronization in pulse-connected networks

IEEE Transactions on Information Theory

Volumn 52, Issue 6, 2006, Pages 2725-2748

  Hu, An Swol ^a   Servetto, Sergio D ^a  

^a Cornell University   (United States)

Author keywords

Cooperation in networks; Large network asymptotics; Relay networks; Scalability; Sensor networks; Time synchronization; Wireless communications

Indexed keywords

FREQUENCY HOPPING; MATHEMATICAL MODELS; RANDOM ERRORS; SENSOR DATA FUSION; SYNCHRONIZATION; TOPOLOGY; WIRELESS TELECOMMUNICATION SYSTEMS;

LARGE NETWORK ASYMPTOTICS; MULTIHOP NETWORK; PULSE-CONNECTED NETWORKS; TIME SYNCHRONIZATION;

COMPUTER NETWORKS;

EID: 33745128025     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2006.874388     Document Type: Article

References (43)

1. A. Ledeczi, P. Volgyesi, M. Maroti, G. Simon, G. Balogh, A. Nadas, B. Kusy, S. Dora, and G. Pap, "Multiple simultaneous acoustic source localization in urban terrain," in Proc. Information Processing in Sensor Networs (IPSN'05), Los Angeles, CA, Apr. 2005.
2. J. Buck and E. Buck, "Synchronous fireflies," Scient. Amer., vol. 234, pp. 74-85, 1976.
3. C. Chen, "Threshold effects on synchronization of pulse-coupled oscillators," Phys. Rev. E, vol. 49, no. 4, pp. 2668-2672, 1994.
4. A. Corral, C. J. Pérez, A. Díaz-Guilera, and A. Arenas, "Self-organized criticality and synchronization in a lattice model of integrate-and-fire oscillators," Phys. Rev. Lett., vol. 74, no. 1, pp. 118-121, 1995.
5. A. Díaz-Guilera, C. J. Pérez, and A. Arenas, "Mechanism of synchronization and pattern formation in a lattice of pulse-coupled oscillators," Phys. Rev. E, vol. 57, no. 4, pp. 3820-3828, 1998.
6. B. Barriac, R. Mudumbai, and U. Madhow, "Distributed beamforming for information transfer in sensor networks," in Proc. Int. Sympo. Information Processing in Sensor Networks (IPSN), Berkeley, CA, Apr. 2004.
7. H. Ochiai, P. Mitran, H. V. Poor, and V. Tarokh, "Collaborative beamforming for distributed wireless ad hoc sensor networks," IEEE Trans. Signal Process., vol. 53, no. 11, pp. 4110-4124, Nov. 2005.
8. J. Elson, L. Girod, and D. Estrin, "Fine-grained network time synchronization using reference broadcasts," in Proc. 5th Symp. Operational Systems and Design Implementation (OSDI), Boston, MA, Dec. 2002.
9. U. Ernst, K. Pawelzik, and T. Geisel, "Delay-induced multistable synchronization of biological oscillators," Phys. Rev. E, vol. 57, no. 2, pp. 2150-2162, 1998.
10. W. Feller, An Introduction to Probability Theory and Its Applications. New York: Wiley, 1968.
11. S. Ganeriwal, R. Kumar, and M. B. Srivastava, "Timing-sync protocol for sensor networks," in Proc. 1st ACM Conf. Embedded Networked Sensor Systems (SenSys), Los Angeles, CA, Nov. 2003.
12. W. Gerstner, "Rapid phase locking in systems of pulse-coupled oscillators with delays," Phys. Rev. Lett., vol. 76, no. 10, pp. 1755-1758, 1996.
13. J. van Greunen and J. Rabaey, "Lightweight time synchronization for sensor networks," in Proc. 2nd ACM Int. Workshop on Wireless Sensor Networks and Applications (WSNA 2003), San Diego, CA, Sep. 2003, pp. 11-19.
14. X. Guardiola, A. Díaz-Guilera, M. Llas, and C. J. Pérez, "Synchronization, diversity, and topology of networks of integrate and fire oscillators," Phys. Rev. E, vol. 62, no. 4, pp. 5565-5570, 2000.
15. P. Gupta and P. R. Kumar, "Critical power for asymptotic connectivity in wireless networks," in Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W. H. Fleming, W. M. McEneany, G. Yin, and Q. Zhang, Eds. Cambridge, MA: Birkhaüser, 1998.
16. A. Herz and J. J. Hopfield, "Earthquake cycles and neural reverberations: Collective oscillations in systems with pulse-coupled threshold elements," Phys. Rev. Lett., vol. 75, no. 6, pp. 1222-1225, 1995.
17. Y. Hong and A. Scaglione, "A scalable synchronization protocol for large scale sensor networks and its applications," IEEE J. Sel. Areas Commun., vol. 23, no. 5, pp. 1085-1099, May 2005.
18. G. Werner-Allen, G. Tewari, A. Patel, M. Welsh, and R. Nagpal, "Fireflyinspired sensor network synchronicity with realistic radio effects," in Proc. ACM Conf. Embedded Networked Sensor Systems (SenSys'05), San Diego, CA, Nov. 2005.
19. A. Hu and S. D. Servetto, "Algorithmic aspects of the time synchronization problem in large-scale sensor networks," in ACM/Kluwer Mobile Networks and Applications. Special Issue on Wireless Sensor Networks, vol. 10, 2005, pp. 491-503.
20. A. Hu and S. D. Servetto, "dFSK: Distributed frequency shift keying modulation in dense sensor networks," in Proc. IEEE Int. Conf. Communications (ICC), Paris, France, Jun. 2004.
21. E. M. Izhikevich, "Weakly pulse-coupled oscillators, FM interations, synchronization, and oscillatory associative memory," IEEE Trans. Neural Netw., vol. 10, no. 3, pp. 508-526, May 1999.
22. J. Jalife, "Mutual entrainment and electrical coupling as mechanisms for synchronous firing of rabbit sinoatrial pacemaker cells," J. Physiol., vol. 356, pp. 221-243, 1984.
23. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Englewood Cliffs, NJ: Prentice-Hall, 1993.
24. C. Kelly IV, V. Ekanayake, and R. Manohar, "SNAP: A sensor network asynchronous processor," in Proc. 9th Int. Symp. Asynchronous Circuits and Systems, Vancouver, BC, May 2003.
25. Y. Kuramoto, "Collective synchronization of pulse-coupled oscillators and excitable units," Phys. D, vol. 50, pp. 15-30, 1991.
26. L. Lamport, "Time, clocks, and the ordering of events in a distributed system," Commun. ACM, vol. 21, no. 4, pp. 558-565, 1978.
27. H. Li, A. Lal, J. Blanchard, and D. Henderson, "Self-reciprocating radioisotope-powered cantilever," J. Appl. Phys., vol. 92, no. 2, pp. 1122-1127, 2002.
28. D. Lucarelli and I. Wang, "Decentralized synchroniztion protocols with nearest neighbor communication," in Proc. ACM Conf. Embedded Networked Sensor Systems (SenSys'04), Baltimore, MD, Nov. 2004.
29. M. Maroti, B. Kusy, G. Simon, and A. Ledeczi, "The flooding time synchronization protocol," in Proc. 2nd Int. Conf. Embedded Networked Sensor Systems, Baltimore, MD, Nov. 2004.
30. R. Mathar and J. Mattfeldt, "Pulse-coupled decentral synchronization," SIAM J. Appl. Math., vol. 56, no. 4, pp. 1094-1106, 1996.
31. M. K. McClintock, "Menstrual synchrony and suppression," Nature, vol. 229, pp. 244-245, 1971.
32. R. E. Mirollo and S. H. Strogatz, "Synchronization of pulse-coupled biological oscillators," SIAM J. Appl. Math., vol. 50, no. 6, pp. 1645-1662, 1990.
33. H. V. Poor, An Introduction to Signal Detection and Estimation. New York: Springer-Verlag, 1994.
34. N. Roberts, "Phase Noise and Jitter: A Primer for Digital Designers," report, [Online] Available at http://www.eedesign.com/ showArticle.jhtml?articleID=16501598, 2003.
35. A. Sherman, J. Rinzel, and J. Keizer, "Emergence of organized bursting in clusters of pancreatic beta-cells by channel sharing," Biophys. J., vol. 54, pp. 411-425, 1988.
36. M. L. Sichitiu and C. Veerarittiphan, "Simple, accurate time synchronization for wireless sensor networks," in Proc. IEEE Wireless Communication and Networking Conference (WCNC 2003), New Orleans, LA, Mar. 2003.
37. L. S. Smith, D. E. Cairns, and A. Nschwitz, "Synchronization of integrate-and-fire neurons with delayed inhibitory lateral connections," in Proc. Int. Conf. Artificial Neural Networks (ICANN , 1994.
38. H. Stark and J. Woods, Probability, Random Processes, and Estimation Theory for Engineers, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1994.
39. R. S. Strichartz, The Way of Analysis. Boston, MA: Jones and Bartlett, 2000.
40. S. Strogatz, Sync: The Emerging Science of Spontaneous Order. New York: Hyperion, 2003.
41. C. Vanvreeswijk and L. F. Abbott, "Self-sustained firing in populations of integrate-and-fire neurons," SIAM J. Appl. Math., vol. 53, no. 1, pp. 253-264, 1993.
42. T. J. Walker, "Acoustic synchrony: Two mechanisms in the snowy tree cricket," Science, vol. 166, pp. 891-894, 1969.
43. B. Warneke, M. Last, B. Liebowitz, and K. S. J. Pister, "Smart dust: Communicating with a cubic-millimeter computer," IEEE Computer Mag., vol. 34, no. 1, pp. 44-51, 2001.