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Stochastic geometry based models for modeling cellular networks in urban areas

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Abstract

Recently a new approach to modeling cellular networks has been proposed based on the Poisson point process (PPP). Unlike the traditional, popular hexagonal grid model for the locations of base stations, the PPP model is tractable. It has been shown by Andrews et al. (in IEEE Trans Commun 59(11):3122–3134, 2011) that the hexagonal grid model provides upper bounds of the coverage probability while the PPP model gives lower bounds. In this paper, we perform a comprehensive comparison of the PPP and the hexagonal grid models with real base station deployments in urban areas worldwide provided by the open source project OpenCellID. Our simulations show that the PPP model gives upper bounds of the coverage probabilities for urban areas and is more accurate than the hexagonal grid model. In addition, we show that the Poisson cluster process is able to accurately model the base station location distribution.

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References

  1. Andrews, J. G., Baccelli, F., & Ganti, R. K. (2011). A tractable approach to coverage and rate in cellular networks. IEEE Transactions on Communications, 59(11), 3122–3134.

    Article  Google Scholar 

  2. Dhillon, H. S., Ganti, R. K., Baccelli, F., & Andrews, J. G. (2012). Modeling and analysis of K-tier downlink heterogeneous cellular networks. IEEE Journal on Selected Areas in Communications, 30(3), 550–560.

    Article  Google Scholar 

  3. Haenggi, M., Andrews, J. G., Baccelli, F., Dousse, O., & Franceschetti, M. (2009). Stochastic geometry and random graphs for the analysis and design of wireless networks. IEEE Journal on Selected Areas in Communications, 27(7), 1029–1046.

    Article  Google Scholar 

  4. Baccelli, F., Klein, M., Lebourges, M., & Zuyev, S. (1997). Stochastic geometry and architecture of communication networks. Journal of Telecommunication Systems, 7, 209–227.

    Article  Google Scholar 

  5. OpenCellID. http://www.opencellid.org.

  6. Lee, C.-H., & Haenggi, M. (2012). Interference and outage in Poisson cognitive networks. IEEE Transactions on Wireless Communications, 11(4), 1392–1401.

    Article  Google Scholar 

  7. Lee, C.-H., & Haenggi, M. (2010). Interference and outage in doubly Poisson cognitive networks. In Proceedings of 19th international conference on computer communications and networks (ICCCN), pp. 1–6.

  8. Baddeley (2007). Spatial point processes and their applications. In Stochastic Geometry, ser. Lecture Notes in Mathematics, vol. 1892, (pp. 1–75). Berlin: Springer.

  9. Haenggi, M. (2011). Mean interference in hard-core wireless networks”. IEEE Communications Letters, 15, 792–794.

    Article  Google Scholar 

  10. Stoyan, D., Kendall, W. S., Mecke, J. (1995). Stochastic geometry and its applications, 2nd ed. New York: Wiley.

    MATH  Google Scholar 

  11. Taylor, D. B., Dhillon, H. S., Novlan, T. D., & Andrews, J. G. (2012). Pairwise interaction processes for modeling cellular network topology. In IEEE GLOBECOM.

  12. Riihijärvi, J., & Mähönen, P. (2010). Modeling spatial structures of wireless communication networks. In IEEE NetSciCom.

  13. Google Map. http://maps.google.com.tw.

  14. Baddeley, A., & Turner, R. (2005). spatstat: An R package for analyzing spatial point patterns. Journal of Statistical Software, 12(6), 1–42.

    Google Scholar 

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Acknowledgments

The authors gratefully acknowledge the support from National Science Council, Taiwan, under grants NSC99-2218-E-001-011-MY2 and NSC101-2219-E-001-001. The authors would also like to thank Dr. Ling-Jyh Chen for pointing us to the OpenCellID.org website.

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  1. Research Center for Information Technology Innovation Academia Sinica, Taipei, Taiwan

    Chia-Han Lee, Cheng-Yu Shih & Yu-Sheng Chen

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  1. Chia-Han Lee
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  2. Cheng-Yu Shih
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  3. Yu-Sheng Chen
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Correspondence to Chia-Han Lee.

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Lee, CH., Shih, CY. & Chen, YS. Stochastic geometry based models for modeling cellular networks in urban areas. Wireless Netw 19, 1063–1072 (2013). https://doi.org/10.1007/s11276-012-0518-0

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