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Modeling Spatially-Correlated Cellular Networks by Using Inhomogeneous Poisson Point Processes

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Industrial Networks and Intelligent Systems (INISCOM 2018)

Abstract

In this paper, we introduce the Inhomogeneous Double Thinning (IDT) approach, which allows us to analyze the performance of downlink cellular networks in which the Base Stations (BSs) constitute a stationary Point Process (PP) that exhibits some degree of spatial repulsion (i.e., inhibition). The accuracy of the proposed IDT approach is substantiated by using empirical data for the spatial distribution of the BSs.

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References

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

    Article  Google Scholar 

  2. Di Renzo, M., Guidotti, A., Corazza, G.E.: Average rate of downlink heterogeneous cellular networks over generalized fading channels - a stochastic geometry approach. IEEE Trans. Commun. 61(7), 3050–3071 (2013)

    Article  Google Scholar 

  3. Di Renzo, M.: Stochastic geometry modeling and analysis of multi-tier millimeter wave cellular networks. IEEE Trans. Wirel. Commun. 14(9), 5038–5057 (2015)

    Article  Google Scholar 

  4. Di Renzo, M., Guan, P.: Stochastic geometry modeling and system-level analysis of uplink heterogeneous cellular networks with multi-antenna base stations. IEEE Trans. Commun. 64(6), 2453–2476 (2016)

    Article  Google Scholar 

  5. Di Renzo, M., Zapppone, A., Lam, T.T., Debbah, M.: System-level modeling and optimization of the energy efficiency in cellular networks - a stochastic geometry framework. IEEE Trans. Wirel. Commun. 17(4), 2539–2556 (2018)

    Article  Google Scholar 

  6. Di Renzo, M., Lu, W., Guan, P.: The intensity matching approach: a tractable stochastic geometry approximation to system-level analysis of cellular networks. IEEE Trans. Wirel. Commun. 15(9), 5963–5983 (2016)

    Article  Google Scholar 

  7. Li, Y., Baccelli, F., Dhillon, H., Andrews, J.: Statistical modeling and probabilistic analysis of cellular networks with determinantal point processes. IEEE Trans. Commun. 63(9), 3405–3422 (2015)

    Article  Google Scholar 

  8. Deng, N., Zhou, W., Haenggi, M.: The Ginibre point process as a model for wireless networks with repulsion. IEEE Trans. Wirel. Commun. 14(1), 107–121 (2015)

    Article  Google Scholar 

  9. Kibilda, J., Galkin, B., DaSilva, L.A.: Modelling multi-operator base station deployment patterns in cellular networks. IEEE Trans. Mob. Comput. 15(12), 3087–3099 (2016)

    Article  Google Scholar 

  10. Baddeley, A., Rubak, E., Turner, R.: Spatial Point Patterns: Methodology and Applications with R. Chapman and Hall/CRC, New York (2015)

    Book  Google Scholar 

  11. Streit, R.L.: Poisson Point Processes: Imaging, Tracking, and Sensing. Springer, Boston (2010). https://doi.org/10.1007/978-1-4419-6923-1

    Book  Google Scholar 

  12. Haenggi, M.: Stochastic Geometry for Wireless Networks. Cambridge University Press, Cambridge (2012)

    Book  Google Scholar 

  13. Di Renzo, M., Wang, S., Xi, X.: Inhomogeneous double thinning–modeling and analysis of cellular networks by using inhomogeneous Poisson point processes. IEEE Trans. Wirel. Commun. 17(8), 5162–5182 (2018)

    Article  Google Scholar 

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Correspondence to Marco Di Renzo .

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© 2019 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

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Di Renzo, M., Wang, S., XI, X. (2019). Modeling Spatially-Correlated Cellular Networks by Using Inhomogeneous Poisson Point Processes. In: Duong, T., Vo, NS. (eds) Industrial Networks and Intelligent Systems. INISCOM 2018. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 257. Springer, Cham. https://doi.org/10.1007/978-3-030-05873-9_26

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  • DOI: https://doi.org/10.1007/978-3-030-05873-9_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-05872-2

  • Online ISBN: 978-3-030-05873-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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