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| Progress In Electromagnetics Research | ISSN: 1070-4698, E-ISSN: 1559-8985 |
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A GEOMETRIC METHOD FOR COMPUTING THE NODAL DISTANCE DISTRIBUTION IN MOBILE NETWORKSBy K. B. BaltzisAbstract: This paper presents a geometrically based method for the calculation of the node-to-node distance distribution function in circular-shaped networks. In our approach, this function is obtained from the intersection volume of a sphere and an ellipsoid. The method is valid for both overlapping and non-overlapping networks. Simulation results and comparisons with methods in the literature demonstrate the efficacy of the approach. The relation between networks geometric parameters and distance statistics is explored. As an application example, we model distance-dependent path loss and investigate the impact of channel characteristics and networks size on signal absorption. The aforementioned model is a useful and low-complexity tool for system-level modeling and simulation of mobile communication systems.
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2. Sinanovic, S., N. Serafimovski, H. Haas, and G. Auer, "Maximizing the system spectral efficiency in a decentralised 2-link wireless network," EURASIP Journal on Wireless Communications and Networking, 2008, doi:10.1155/2008/867959.
3. Kaltenberger, F., M. Kountouris, D. Gesbert, and R. Knopp, "On the trade-off between feedback and capacity in measured MU-MIMO channels," IEEE Transactions on Wireless Communications, Vol. 8, 4866-4875, 2009. 4. Ali, A., L. A. Latiff, and N. Fisal, "Simulation-based real-time routing protocol with load distribution in wireless sensor networks," Wireless Communications and Mobile Computing, Vol. 10, 1002-1016, 2010. 5. Kumar, D., R. Venkatesh, A. Kumar, and E. Altman, "Capacity optimizing hop distance in a mobile ad hoc network with power control," 4th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOPT 2006), Boston, USA, 2006, doi:10.1109/WIOPT.2206.1666452.
6. Baltzis, K. B., "Empirical description of node-to-node distance density in non-overlapping wireless networks," Journal of Microwaves, Optoelectronics and Electromagnetic Applications, Vol. 9, No. 1, 57-68, 2010.
7. De Carlo, D. and S. Tringali, "Automatic design of circular SIW resonators by a hybrid approach based on polynomial fitting and SVRMS," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 5-6, 735-774, 2010. 8. Dessouky, M. I., H. A. Sharshar, and Y. A. Albagory, "Geometrical analysis of high altitude platforms cellular footprint," Progress In Electromagnetics Research, Vol. 67, 263-274, 2007. 9. Chen, Y., Z. Zhang, L. Hu, and P. Rapajic, "Geometry-based statistical model for radio propagation in rectangular office buildings," Progress In Electromagnetics Research B, Vol. 17, 187-212, 2009. 10. Baltzis, K. B. and J. N. Sahalos, "A simple 3-D geometric channel model for macrocell mobile communications," Wireless Personal Communications, Vol. 51, 329-347, 2009. 11. Baltzis, K. B. and J. N. Sahalos, "On the statistical description of the AoA of the uplink interfering signals in a cellular communication system," European Transactions on Telecommunications, Vol. 21, 187-194, 2010.
12. Chen, Y., Z. Zhang, and T. Qin, "Geometrically based channel model for indoor radio propagation with directional antennas," Progress In Electromagnetics Research B, Vol. 20, 109-124, 2010. 13. Nawaz, S. J., B. H. Qureshi, and N. M. Khan, "A generalized 3-D scattering model for a macrocell environment with a directional antenna at the BS," IEEE Transactions on Vehicular Technology, Vol. 59, 3193-3204, 2010. 14. Wang, A.-Q., L.-X. Guo, and C. Chai, "Numerical simulations of electromagnetic scattering from 2D rough surface: Geometric modeling by nurbs surface," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 10, 1315-1328, 2010. 15. Alsehaili, M., S. Noghanian, A.-R. Sebak, and D. A. Buchanan, "Angle and time of arrival statistics of a three dimensional geometrical scattering channel model for indoor and outdoor propagation environments," Progress In Electromagnetics Research, Vol. 109, 191-209, 2010. 16. Pirinen, P., "Outage analysis of ultra-wideband system in lognormal multipath fading and square-shaped cellular configurations," EURASIP Journal on Wireless Communications and Networking, 2006, doi:10.1155/WCN/2006/19460.
17. Haenggi, M., "A geometric interpretation of fading in wireless," IEEE Transactions on Information Theory, Vol. 54, 5500-5510, 2008. 18. Kyatkin, A. B. and G. S. Chirikjian, "Computation of robot configuration and workspaces via the Fourier transform on the discrete-motion group," The International Journal of Robotics Research, Vol. 18, 601-615, 1999. 19. Tu, S.-J. and E. Fischbach, "Random distance distribution for spherical objects: General theory and applications to physics," Journal of Physics A: Mathematical and General, Vol. 35, 6557-6570, 2002. 20. Akhriev, A., "Object tracking via uncertainty minimization," Lecture Notes in Computer Science: Advances in Visual Computing, Vol. 4842, 592-601, Springer, Berlin, 2007.
21. Weisstein, E. W., CRC Concise Encyclopedia of Mathematics, 2 Ed., Chapman & Hall/CRC, Boca Raton, 2003.
22. Agbinya, J. I., "Design considerations of MoHotS and wireless chain networks," Wireless Personal Communications, Vol. 40, 91-106, 2007.
23. Roozbahani, M. G., E. Jedari, and A. A. Shishegar, "A new link-level simulation procedure of wideband MIMO radio channel for performance evaluation of indoor WLANs," Progress In Electromagnetics Research, Vol. 83, 13-24, 2008. 24. Kara, A. and E. Yazgan, "Modelling of shadowing loss due to huge non-polygonal structures in urban radio propagation," Progress In Electromagnetics Research B, Vol. 6, 123-134, 2008. 25. Phaiboon, S. and P. Phokharatkul, "Path loss prediction for lowrise buildings with image classification on 2-D aerial photographs," Progress In Electromagnetics Research, Vol. 95, 135-152, 2009. 26. Gennarelli, G. and G. Riccio, "A uapo-based model for propagation prediction in microcellular environments," Progress In Electromagnetics Research B, Vol. 17, 101-116, 2009. 27. Meng, Y. S., Y. H. Lee, and B. C. Ng, "Study of propagation loss prediction in forest environment," Progress In Electromagnetics Research B, Vol. 17, 117-133, 2009. 28. Howitt, I. L. and M. S. Khan, "A mode based approach for characterizing RF propagation in conduits," Progress In Electromagnetics Research B, Vol. 20, 49-64, 2010. 29. Jung, J.-W., D. S. Kim, D. G. Cho, and Y.-S. Kim, "Required guardband for coexisting LTE/FDD systems obtained by accurate analysis of adjacent channel interference," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 14-15, 2095-2106, 2010.
30. Baltzis, K. B., "On the effect of channel impairments on VANETs performance," Radioengineering, Vol. 19, 689-694, 2010.
31. Baltzis, K. B., "Analytical and closed-form expressions for the distribution of path loss in hexagonal cellular networks," Wireless Personal Communications, 2010, doi:10.1007/s11277-010-9962-2.
32. Gao, Y.-Y., X.-X. Yang, C. Jiang, and J.-Y. Zhou, "A circularly polarized rectenna with low profile for wireless power transmission," Progress In Electromagnetics Research Letters, Vol. 13, 41-49, 2010. 33. Pu, S., J.-H.Wang, and Z. Zhang, "Estimation for small-scale fading characteristics of RF wireless link under railway communication environment using integrative modeling technique," Progress In Electromagnetics Research, Vol. 106, 395-417, 2010. 34. Das, S., A. Maitra, and A. K. Shukla, "Rain attenuation modeling in the 10-100 GHz frequency using drop size distributions for different climatic zones in tropical India," Progress In Electromagnetics Research B, Vol. 25, 211-224, 2010. 35. Spiliotopoulos, C. G. and A. G. Kanatas, "Channel measurements and modelling in a military cargo airplane," Progress In Electromagnetics Research B, Vol. 26, 69-100, 2010. 36. Masa-Campos, J. L., J. M. Lalueza-Mayordomo, and B. Taha-Ahmed, "RF propagation in indoor environment at WIMAX band of 3.5 GHz," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 17-18, 2495-2508, 2010. |