The Optimum Number of Nodes and Radius for Distributed Beamforming Networks

Main Article Content

Pongnarin Sriploy
Peerapong Uthansakul
Monthippa Uthansakul

Abstract

This paper presents a ready-made formula to calculate the number of node and network radius for distributed beamforming networks. The calculation is based on guarantee of received signal at destination to be higher than received sensitivity. The proposed calculation model already includes path loss and also imperfection in node location estimation, which can be applied for both indoor and outdoor scenarios.

Article Details

How to Cite
Sriploy, P., Uthansakul, P., & Uthansakul, M. (2014). The Optimum Number of Nodes and Radius for Distributed Beamforming Networks. ECTI Transactions on Electrical Engineering, Electronics, and Communications, 12(2), 35–47. https://doi.org/10.37936/ecti-eec.2014122.170821
Section
Communication Systems

References

[1] Y. T. Lo, "A mathematical theory of antenna arrays with randomly spaced elements," IEEE Trans. Antenna Prog., vol. 12, pp. 257-268, May 1964.

[2] R. Mudumbai, D.R. Brown, U. Madhow, and H.V. Poor, "Distributed transmit beamforming: challenges and recent progress," IEEE Commun. Mag., vol. 47, no. 2, pp. 102-110, Feb. 2009.

[3] Y.-S. Tu, and G. J. Pottie, "Coherent cooperative transmission from multiple adjacent antennas to a distant stationary antenna through AWGN channels,"Proc. IEEE 55th Veh. Tech.Conf., vol.1, 2002, pp. 130-134.

[4] R. Mudumbai, "Distributed transmit beamforming using feedback control," IEEE Trans. Inf. Theory, vol. 56, no. 1, pp. 411-426, Jan. 2010.

[5] R. Mudumbai, G. Barriac, and U. Madhow, "On the fea-sibility of distributed beamforming in wireless networks," IEEE Trans. Wireless Commun., vol. 6, pp. 1754-63, May 200.

[6] I. Ozil, and D.R. Brown III, "Time-slotted Round-trip carrier synchronization," Proc. 41st Asilomar Conf. Signals, Syst., Comput., 2007, pp. 1781-1785.

[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] Official U.S. Government information about the Global Positioning System.(2007 Feb, 23). GPS Performance Standards & Specications 1st edition [Online]. Available: http://www.gps.gov/technical/ps/

[9] Ian Poole. Sources of Errors in GPS 1st [Online]. Available:http://www.kowoma.de/en/gps/errors.htm

[10] P. Sriploy, P. Uthansakul, and M. Uthansakul, "An effect of imperfection in node location estimation on distributed beamforming", 9th Int. Conf. Elect. Eng./Electron., Comput., Telecommun. Inform. Tech., 2012, pp. 1-4.

[11] S. Sfar, G. J. Foschini, R. A. Valenzuela, L. Mailaender, D. Chizhik, K. Karakayali, and R. S. Blum, "Is relayed collaborative communication worth it?," IEEE Asilomar Conf. Signals, Syst. Comput., 2008, pp. 146-150.

[12] A. N. Bishop, and P. N. Pathirana, "On the effect of path loss rates on the optimal receiver position in sensor networks," IEEE Int. Conf. Inform. Automation, 2006, pp. 126-128.

[13] P. Sriploy, P. Uthansakul, and M. Uthansakul, "Effect of path loss on the distributed beamforming for wireless sensor networks," IEEE Int.
Conf. Elect. Eng./Electron., Comput., Telecommun. Inform. Tech., 2013, pp. 1-4.

[14] A. Kalis, A. G. Kanatas, and G.P. Efthymoglou, "A co-operative beamforming solution for eliminating multi-hop communications in wireless sensor networks," IEEE J. Selected Areas Commun., vol. 28, no. 7, pp. 1055-1062, Sept. 2010.

[15] K. Zarifi, A. Ghrayeb, and S. Affes, "Distributed beamforming for wireless sensor networks with improved graph connectivity and energy eficiency," IEEE Trans. Signal Process., vol. 58. no. 3, pp. 1904-1921, Mar. 2010.

[16] T. S. Rappaport, Wireless communications: principles and practice, 2nd ed., Prentice Hall PTR Upper Saddle River, N.J., 2002.

[17] S. Saunders, Antennas and Propagation for Wireless Communication Systems, Wiley, 2000.

[18] H. O. Marcy, J. R. Agre, C. Chien, L. P. Clare, N. Romanov, and A. Twarowski, "Wireless sensor networks for area monitoring and integrted vehicle health management applications," Proc. AIAA Guidance, Navigation, and Control Conf. Exhibit, 1999, pp. 1-10.

[19] H. Abrach, J. Carlson, H. Dai, J. Rose, A. Sheth, B. Shucker, and R. Han , "MANTIS: system support for MultimodAl NeTworks of In-situ Sensors," Proc. 2nd ACM Int. Workshop Wireless Sensor Networks Applicat., 2000, pp. 50-59.