Precise Asymptotic Distribution of the Number of Isolated Nodes in Wireless Networks with Lognormal Shadowing

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References

[1] Bettstetter, C. (2004) On the Connectivity of Ad Hoc Networks. The Computer Journal, 47, 432-447.

http://dx.doi.org/10.1093/comjnl/47.4.432

[2] Bettstetter, C. (2002) On the Minimum Node Degree and Connectivity of a Wireless Multihop Network. 3rd ACM International Symposium on Mobile Ad Hoc Networking and Computing, Lausanne, 80-91.

http://dx.doi.org/10.1145/513800.513811

[3] Gupta, P. and Kumar, P. (1998) Critical Power for Asymptotic Connectivity in Wireless Networks. Stochastic Analysis, Control, Optimization and Applications, 547-566.

[4] Philips, T.K., Panwar, S.S. and Tantawi, A.N. (1989) Connectivity Properties of a Packet Radio Network Model. IEEE Transactions on Information Theory, 35, 1044-1047.

http://dx.doi.org/10.1109/18.42219

[5] Wan, P.-J. and Yi, C.-W. (2004) Asymptotic Critical Transmission Radius and Critical Neighbor Number for k-Connectivity in Wireless Ad Hoc Networks. MobiHoc 2006, Roppongi, 1-8.

[6] Xue, F. and Kumar, P. (2004) The Number of Neighbors Needed for Connectivity of Wireless Networks. Wireless Networks, 10, 169-181.

http://dx.doi.org/10.1023/B:WINE.0000013081.09837.c0

[7] Yi, C.-W., Wan, P.-J., Li, X.-Y. and Frieder, O. (2006) Asymptotic Distribution of the Number of Isolated Nodes in Wireless Ad Hoc Networks with Bernoulli Nodes. IEEE Transactions on Communications, 54.

[8] Takai, M., Martin, J. and Bagrodia, R. (2001) Effects of Wireless Physical Layer Modeling in Mobile Ad Hoc Networks. ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc), Long Beach.

[9] Zorzi, M. and Pupolin, S. (1995) Optimum Transmission Ranges in Multihop Packet Radio Networks in the Presence of Fading. IEEE Transactions on Communications, 43, 2201-2205.

http://dx.doi.org/10.1109/26.392962

[10] Bettstetter, C. and Hartmann, C. (2005) Connectivity of Wireless Multihop Networks in a Shadow Fading Environment. Wireless Networks, 11, 571-579.

http://dx.doi.org/10.1007/s11276-005-3513-x

[11] Bernhardt, R.C. (1987) Macroscopic Diversity in Frequency Reuse Systems. IEEE Journal of Selected Areas in Communications SAC, 5, 862-878.

http://dx.doi.org/10.1109/JSAC.1987.1146594

[12] Cox, D.C., Murray, R. and Norris, A. (1984) 800 MHz Attenuation Measured in and around Suburban Houses. AT & T Bell Laboratory Technical Journal, 63, 921-954.

http://dx.doi.org/10.1002/j.1538-7305.1984.tb00030.x

[13] Hekmat, R. and Mieghem, P.V. (2006) Connectivity in Wireless Ad-Hoc Networks with a Log-Normal Radio Model. Mobile Networks and Applications, 11, 351-360.

http://dx.doi.org/10.1007/s11036-006-5188-7

[14] Mukherjee, S. and Avidor, D. (2005) On the Probability Distribution of the Minimal Number of Hops between Any Pair of Nodes in a Bounded Wireless Ad-Hoc Network Subject to Fading. International Workshop on Wireless Ad-Hoc Networks (IWWAN), London.

[15] Stuedi, P., Chinellato, O. and Alonso, G. (2005) Connectivity in the Presence of Shadowing in 802.11 Ad Hoc Networks. IEEE Wireless Communications and Networking Conference, 2225-2230.

[16] Penrose, M. (1997) The Longest Edge of the Random Minimal Spanning Tree. The Annals of Applied Probability, 7, 340-361. http://dx.doi.org/10.1214/aoap/1034625335

[17] Penrose, M. (1999) A Strong Law for the Longest Edge of the Minimal Spanning Tree. The Annals of Applied Probability, 27, 246-260.

http://dx.doi.org/10.1214/aop/1022677261

[18] Wang, L. and Baker, A.J. (2013) Critical Power for Vanishing of Isolated Nodes in Wireless Networks with Log-Normal Shadowing. IEEE MASS 2013, Hangzhou.

[19] Bertoni, H. (2000) Radio Propagation for Modern Wireless Systems. Prentice Hall PTR, New Jersey.

[20] Rappaport, T.S. (2001) Wireless Communications: Principles and Practice. 2nd Edition, Prentice Hall PTR, New Jersey.

[21] Meester, R. and Roy, R. (1996) Continuum Percolation. Cambridge University Press, Cambridge.

http://dx.doi.org/10.1017/CBO9780511895357

[22] Yi, C.-W., Wan, P.-J., Lin, K.-W. and Huang, C.-H. (2006) Asymptotic Distribution of the Number of Isolated Nodes in Wireless Ad Hoc Networks with Unreliable Nodes and Links. IEEE GLOBECOM.

[23] Alon, N. and Spencer, J.H. (2000) The Probabilistic Method. 2nd Edition, Wiley, New York.

http://dx.doi.org/10.1002/0471722154