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On the Uplink and Downlink EMF Exposure and Coverage in Dense Cellular Networks: A Stochastic Geometry Approach (2312.08978v2)

Published 14 Dec 2023 in cs.NI, cs.IT, math.IT, and stat.OT

Abstract: Existing studies analyzing electromagnetic field (EMFE) in wireless networks have primarily considered downlink communications. In the uplink, the EMFE caused by the user's smartphone is usually the only considered source of radiation, thereby ignoring contributions caused by other active neighboring devices. In addition, the network coverage and EMFE are typically analyzed independently for both the uplink and downlink, while a joint analysis would be necessary to fully understand the network performance and answer various questions related to optimal network deployment. This paper bridges these gaps by presenting an enhanced stochastic geometry framework that includes the above aspects. The proposed topology features base stations modeled via a homogeneous Poisson point process. The users active during a same time slot are distributed according to a mixture of a Mat\'ern cluster process and a Gauss-Poisson process, featuring groups of users possibly carrying several equipments. In this paper, we derive the marginal and meta distributions of the downlink and uplink EMFE and we characterize the uplink to downlink EMFE ratio. Moreover, we derive joint probability metrics considering the uplink and downlink coverage and EMFE. These metrics are evaluated in four scenarios considering BS, cluster and/or intracluster densifications. Our numerical results highlight the existence of optimal node densities maximizing these joint probabilities.

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References (44)
  1. F. Baccelli, M. Klein, M. Lebourges, and S. A. Zuyev, “Stochastic geometry and architecture of communication networks,” Telecommunication Systems, vol. 7, pp. 209–227, 1997.
  2. L. Chiaraviglio, S. Turco, G. Bianchi, and N. Blefari-Melazzi, “Do Dense 5G Networks Increase Exposure to Electromagnetic Fields? [Point of View],” Proceedings of the IEEE, vol. 109, no. 12, pp. 1880–1887, 2021.
  3. L. Chiaraviglio, C. Lodovisi, S. Bartoletti, A. Elzanaty, and M.-S. Alouini, “Dominance of Smartphone Exposure in 5G Mobile Networks,” 2023.
  4. R. Nasri and A. Jaziri, “Analytical Tractability of Hexagonal Network Model With Random User Location,” IEEE Transactions on Wireless Communications, vol. 15, no. 5, pp. 3768–3780, 2016.
  5. M. Haenggi and R. K. Ganti, “Interference in Large Wireless Networks,” Found. Trends Netw., vol. 3, no. 2, p. 127–248, feb 2009.
  6. F. Baccelli and B. Błlaszczyszyn, “Stochastic Geometry and Wireless Networks: Volume I Theory,” Found. Trends Netw., vol. 3, no. 3–4, p. 249–449, mar 2009.
  7. C.-H. Lee, C.-Y. Shih, and Y.-S. Chen, “Stochastic Geometry Based Models for Modeling Cellular Networks in Urban Areas,” Wirel. Netw., vol. 19, no. 6, p. 1063–1072, aug 2013.
  8. H. ElSawy, A. Sultan-Salem, M.-S. Alouini, and M. Z. Win, “Modeling and Analysis of Cellular Networks Using Stochastic Geometry: A Tutorial,” IEEE Communications Surveys & Tutorials, vol. 19, no. 1, pp. 167–203, 2017.
  9. P. Herath, C. Tellambura, and W. A. Krzymien, “Stochastic Geometry Modeling of Cellular Uplink Power Control under Composite Rayleigh-Lognormal Fading,” in 2015 IEEE 82nd Vehicular Technology Conference (VTC2015-Fall), 2015, pp. 1–5.
  10. R. Nikbakht, R. Mosayebi, and A. Lozano, “Uplink Fractional Power Control and Downlink Power Allocation for Cell-Free Networks,” IEEE Wireless Communications Letters, vol. 9, no. 6, pp. 774–777, 2020.
  11. H. Elshaer, M. N. Kulkarni, F. Boccardi, J. G. Andrews, and M. Dohler, “Downlink and Uplink Cell Association With Traditional Macrocells and Millimeter Wave Small Cells,” IEEE Transactions on Wireless Communications, vol. 15, no. 9, pp. 6244–6258, sep 2016.
  12. P. Herath, C. Tellambura, and W. Krzymien, “Coverage probability analysis of three uplink power control schemes: Stochastic geometry approach,” EURASIP Journal on Wireless Communications and Networking, vol. 2018, 06 2018.
  13. T. D. Novlan, H. S. Dhillon, and J. G. Andrews, “Analytical Modeling of Uplink Cellular Networks,” IEEE Transactions on Wireless Communications, vol. 12, no. 6, pp. 2669–2679, 2013.
  14. M. Di Renzo and P. Guan, “Stochastic Geometry Modeling and System-Level Analysis of Uplink Heterogeneous Cellular Networks With Multi-Antenna Base Stations,” IEEE Transactions on Communications, vol. 64, no. 6, pp. 2453–2476, 2016.
  15. F. J. Martin-Vega, G. Gomez, M. C. Aguayo-Torres, and M. Di Renzo, “Analytical Modeling of Interference Aware Power Control for the Uplink of Heterogeneous Cellular Networks,” IEEE Transactions on Wireless Communications, vol. 15, no. 10, pp. 6742–6757, 2016.
  16. H. ElSawy and E. Hossain, “On Stochastic Geometry Modeling of Cellular Uplink Transmission With Truncated Channel Inversion Power Control,” IEEE Transactions on Wireless Communications, vol. 13, no. 8, pp. 4454–4469, 2014.
  17. L. Zhang, W. Nie, G. Feng, F.-C. Zheng, and S. Qin, “Uplink Performance Improvement by Decoupling Uplink/Downlink Access in HetNets,” IEEE Transactions on Vehicular Technology, vol. 66, no. 8, pp. 6862–6876, 2017.
  18. S. Singh, X. Zhang, and J. G. Andrews, “Joint Rate and SINR Coverage Analysis for Decoupled Uplink-Downlink Biased Cell Associations in HetNets,” IEEE Transactions on Wireless Communications, vol. 14, no. 10, pp. 5360–5373, 2015.
  19. M. Haenggi, “User Point Processes in Cellular Networks,” IEEE Wireless Communications Letters, vol. 6, no. 2, pp. 258–261, 2017.
  20. Y. Wang, M. Haenggi, and Z. Tan, “The Meta Distribution of the SIR for Cellular Networks With Power Control,” IEEE Transactions on Communications, vol. 66, no. 4, pp. 1745–1757, 2018.
  21. T. Bai and R. W. Heath, “Analyzing Uplink SINR and Rate in Massive MIMO Systems Using Stochastic Geometry,” IEEE Transactions on Communications, vol. 64, no. 11, pp. 4592–4606, 2016.
  22. F. Boccardi, J. Andrews, H. Elshaer, M. Dohler, S. Parkvall, P. Popovski, and S. Singh, “Why to decouple the uplink and downlink in cellular networks and how to do it,” IEEE Communications Magazine, vol. 54, no. 3, pp. 110–117, 2016.
  23. W. Guo and S. Wang, “Radio-frequency energy harvesting potential: a stochastic analysis,” Transactions on Emerging Telecommunications Technologies, vol. 24, no. 5, pp. 453–457, 2013.
  24. M. Di Renzo and W. Lu, “System-Level Analysis and Optimization of Cellular Networks With Simultaneous Wireless Information and Power Transfer: Stochastic Geometry Modeling,” IEEE Transactions on Vehicular Technology, vol. 66, no. 3, pp. 2251–2275, 2017.
  25. T. Tu Lam, M. Di Renzo, and J. P. Coon, “System-Level Analysis of SWIPT MIMO Cellular Networks,” IEEE Communications Letters, vol. 20, no. 10, pp. 2011–2014, 2016.
  26. M. Al Hajj, S. Wang, L. Thanh Tu, S. Azzi, and J. Wiart, “A Statistical Estimation of 5G Massive MIMO Networks’ Exposure Using Stochastic Geometry in mmWave Bands,” Applied Sciences, vol. 10, no. 23, 2020.
  27. Q. Gontier, L. Petrillo, F. Rottenberg, F. Horlin, J. Wiart, C. Oestges, and P. De Doncker, “A Stochastic Geometry Approach to EMF Exposure Modeling,” IEEE Access, vol. 9, pp. 91 777–91 787, 2021.
  28. M. A. Hajj, S. Wang, and J. Wiart, “Characterization of EMF Exposure in Massive MIMO Antenna Networks with Max-Min Fairness Power Control,” in 2022 16th European Conference on Antennas and Propagation (EuCAP), 2022, pp. 1–5.
  29. N. A. Muhammad, N. Seman, N. I. A. Apandi, C. T. Han, Y. Li, and O. Elijah, “Stochastic Geometry Analysis of EMF Exposure in Coexisting Sub-6 GHz and Millimeter Wave Networks,” IEEE Access, vol. 9, pp. 112 780–112 791, 2021.
  30. Q. Gontier, C. Wiame, S. Wang, M. Di Renzo, J. Wiart, F. Horlin, C. Tsigros, C. Oestges, and P. De Doncker, “Joint Metrics for EMF Exposure and Coverage in Real-World Homogeneous and Inhomogeneous Cellular Networks,” 2023. [Online]. Available: https://arxiv.org/abs/2302.03559
  31. C. Wiame, S. Demey, L. Vandendorpe, P. De Doncker, and C. Oestges, “Joint data rate and EMF exposure analysis in Manhattan environments: stochastic geometry and ray tracing approaches,” 2023, submitted. [Online]. Available: https://arxiv.org/abs/2301.11097
  32. C. Wiame, C. Oestges, and L. Vandendorpe, “Joint data rate and EMF exposure analysis in user-centric cell-free massive MIMO networks,” 2023, submitted. [Online]. Available: https://arxiv.org/abs/2301.11127
  33. L. Chen, A. Elzanaty, M. A. Kishk, L. Chiaraviglio, and M.-S. Alouini, “Joint Uplink and Downlink EMF Exposure: Performance Analysis and Design Insights,” IEEE Transactions on Wireless Communications, vol. 22, no. 10, pp. 6474–6488, 2023.
  34. P. Joshi, D. Colombi, B. Thors, L.-E. Larsson, and C. Törnevik, “Output Power Levels of 4G User Equipment and Implications on Realistic RF EMF Exposure Assessments,” IEEE Access, vol. 5, pp. 4545–4550, 2017.
  35. 3GPP, “Way Forward on Power Control of PUSCH,” 2007, 3GPP TDoc R1-073224.
  36. J. Whitehead, “Signal-level-based dynamic power control for co-channel interference management,” in IEEE 43rd Vehicular Technology Conference, 1993, pp. 499–502.
  37. 3GPP, “R1-074850: Uplink Power Control for E-UTRA – Range and Representation of P0,” 2007, 3GPP TDoc R1-074850.
  38. C. Ubeda Castellanos, D. L. Villa, C. Rosa, K. I. Pedersen, F. D. Calabrese, P.-H. Michaelsen, and J. Michel, “Performance of Uplink Fractional Power Control in UTRAN LTE,” in VTC Spring 2008 - IEEE Vehicular Technology Conference, 2008, pp. 2517–2521.
  39. A. Simonsson and A. Furuskar, “Uplink Power Control in LTE - Overview and Performance, Subtitle: Principles and Benefits of Utilizing rather than Compensating for SINR Variations,” in 2008 IEEE 68th Vehicular Technology Conference, 2008, pp. 1–5.
  40. R. Mullner, C. F. Ball, K. Ivanov, J. Lienhart, and P. Hric, “Contrasting Open-Loop and Closed-Loop Power Control Performance in UTRAN LTE Uplink by UE Trace Analysis,” in 2009 IEEE International Conference on Communications, 2009, pp. 1–6.
  41. W. Xiao, R. Ratasuk, A. Ghosh, R. Love, Y. Sun, and R. Nory, “Uplink Power Control, Interference Coordination and Resource Allocation for 3GPP E-UTRA,” in IEEE Vehicular Technology Conference, 2006.
  42. A. M. Rao, “Reverse Link Power Control for Managing Inter-Cell Interference in Orthogonal Multiple Access Systems,” in 2007 IEEE 66th Vehicular Technology Conference, 2007, pp. 1837–1841.
  43. GSMA, “Improving wireless connectivity through small cell deployment,” 12 2016.
  44. J. Gil-Pelaez, “Note on the inversion theorem,” Biometrika, vol. 38, no. 3-4, pp. 481–482, 12 1951.
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