Abstract
Due to the massive wireless traffic demand in fifth generation (5G) network, small cell have been attracted growing attention as a key solution and scalable approach for 5G deployments. However, to provide appropriate Quality of Service (QoS), mobile service providers need to study and analyze coverage with and without interference coordination. In this paper, we provide an analytical framework based on Stochastic Geometry to investigate downlink coverage analysis by taking into account mmWave and Nakagami fading. These metrics are analyzed with path loss laws in both cases namely; Line of Site (LOS) and Non Line of Site (NLOS). we derive a general expression of coverage probability according to signal-to-interference-plus-noise ratio (SINR) by assuming directional Beamforming. Then, downlink rate probability is obtained for good network reliability. Moreover, we propose an efficient approach to explore the coverage characteristics under cognitive interference coordination strategies. Finally, simulations results are verified using Monte Carlo Simulations.
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Chen, J., Ge, X., & Ni, Q. (2019). Coverage and handoff analysis of 5G fractal small cell networks. IEEE Transactions on Wireless Communications, 18(2), 1263–1276.
Ge, X., Tian, X., Qiu, Y., et al. (2018). Small cell networks with fractal coverage characteristics. IEEE Transactions on Communications, 66(11), 5457–5469.
Yang, B., Yang, X., Ge, X., & Li, Q. (2018). Coverage and handover analysis of ultra-dense millimeter-wave networks with control and user plane separation architecture. IEEE Access, 6, 54739–54750.
Ding, M., Wang, P., López-Pérez, D., et al. (2016). Performance impact of LoS and NLoS transmissions in dense cellular networks. IEEE Transactions on Wireless Communications, 15(3), 2365–2380.
Rappaport, T., Sun, S., Mayzus, R., Zhao, H., Azar, Y., Wang, K., Wong, G. N., Schulz, J. K., Samimi, M., & Gutierrez, F. (2013). Millimeter wave mobile communications for 5G cellular: It will work! IEEE Access, 1, 335–349.
Akdeniz, M. R., Liu, Y., Samimi, M. K., Sun, S., Rangan, S., Rappaport, T. S., & Erkip, E. (2014). Millimeter wave channel modeling and cellular capacity evaluation. IEEE Journal on Selected Areas in Communications, 32, 1164–1179.
Belbase, K., Zhang, Z., Jiang, H., & Tellambura, C. (2018). Coverage analysis of millimeter wave decode-and-forward networks with best relay selection. IEEE Access, 6, 22670–22683.
Ouamri, M. A., Oteşteanu, M.-E., Isar, A., & Aznia, M. (2020). Coverage, handoff and cost optimization for 5G heterogeneous network. Physical communication, 39, 1–8.
Kpojime, H. O., & Safdar, G. A. (2015). Interference mitigation in cognitive-radio-based femtocells. IEEE Communication Surveys and Tutorials, 17(3), 1511–1534.
Jafari, A. H., Pérez, D. L., Ding, M., & Zhang, J. (2017). Performance analysis of dense small cell networks with practical antenna heights under rician fading. IEEE Access, 6, 9960–9974.
Bai, T., & Heath, R. W. (2015). Coverage and rate analysis for millimeter-wave cellular networks. IEEE Transactions on Wireless Communication, 14(2), 1100–1114.
Chen, C., Elliott, R. C., Krzymień, W. A., & Melzer, J. (2018). Modeling of cellular networks using stationary and nonstationary point processes. IEEE Access, 6, 47144–47162.
He Wang, X., Zhou, M. C., & Reed, . (2014). Coverage and throughput analysis with a non-uniform small cell deployment. IEEE Transactions on Wireless Communication, 13(4), 2047–2059.
Ding, M., Wang, P., Pérez, D. L., Mao, G., & Lin, Z. (2016). Performance impact of LoS and NLoS transmissions in dense cellular networks. IEEE Transactions on Wireless Communications, 15(3), 2365–2380.
Cheng, M., Wang, J.-B., Yongpeng, Wu., Xia, X.-G., Wong, K.-K., & Lin, M. (2018). Coverage analysis for millimeter wave cellular networks with imperfect beam alignment. IEEE Transactions on Vehicular Technology, 63(9), 8302–8314.
Yoon, J., & Hwang, G. (2018). Distance-based inter-cell interference coordination in small cell networks: stochastic geometry modeling and analysis. IEEE Transactions on Wireless Communications, 17(6), 4089–4103.
Wang, X. Y., Ho, P.-H., & Chen, K. C. (2012). Interference analysis and mitigation for cognitive-empowered femtocells through stochastic dual control. IEEE Transactions on Wireless Communications, 11(6), 2065–2075.
Di Renzo, M. (2015). Stochastic geometry modeling and analysis of multi-tier millimeter wave cellular networks. IEEE Transactions on Communications, 14(9), 5038–5057.
Andrews, J. G., Bai, T., Kulkarni, M. N., et al. (2017). Modeling and analyzing millimeter wave cellular systems. IEEE Transactions on Communications., 65(1), 403–430.
Di Renzo, M., Guidotti, A., & Corazza, G. E. (2013). Average rate of downlink heterogeneous cellular networks over generalized fading channels – Astochastic geometry approach. IEEE Transactions on Communications, 61(7), 3050–3071.
Bai, T., Vaze, R., & Heath, R. W., Jr. (2014). Analysis of blockage effects on urban cellular networks. IEEE Transactions on Wireless Communications, 13(9), 5070–5083.
Keith, Q. T. (2016). Zhang, Wireless Communications: Principles, Theory and Methodology (1st ed.). Published: Wiley.
Yi, W., Liu, Y., Nallanathan, A., & Elkashlan, M. (2019). Clustered Millimeter-Wave Networks With Non-Orthogonal Multiple Access. IEEE Transactions on Communications, 67(6), 4350–4364.
W. Lu and M. Di Renzo (2015) “Stochastic geometry modeling of cellular networks: analysis, simulation and experimental validation, ACM MSWiM, 179–188,
B. Błaszczyszyn, Mohamed Kadhem Karray, H. P. Keeler (April 2013) Using Poisson processes to model lattice cellular networks, Proceedings IEEE INFOCOM.
Di Renzo, M., & Lu, W. (2017). System-Level Analysis/Optimization of Cellular Networks with Simultaneous Wireless Information and Power Transfer: Stochastic Geometry Modeling. IEEE Transactions on Vehicular Technology, 66, 2251–2275.
Wildemeersch, M., Quek, T. Q. S., Slump, C. H., & Rabbachin, A. (2013). Cognitive small cell networks: Energy efficiency and trade-offs. IEEE Transactions on Communications, 61(9), 4016–4029.
Jo, H.-S., Sang, Y. J., Xia, P., & Andrews, J. G. (2012). Heterogeneous cellular networks with flexible cell association: A comprehensive downlink SINR analysis. IEEE Transactions on Wireless Communications, 11(10), 3484–3495.
H. Alzer, “On Some inequalities for the incomplete Gamma function,” Math. Comput., vol. 66, no. 218, pp. 771–778, 1997. [Online]. Available: http://www.jstor.org/stable/2153894.
Błaszczyszyn, B., Haenggi, M., & Keeler, P. (2018). Stochastic geometry analysis of cellular networks. Cambridge University Press.
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.
ElSawy, H., Hossain, E., & Haenggi, M. (2013). Stochastic geometry for modeling, analysis, and design of multi-tier and cognitive cellular wireless networks: a survey. IEEE Communications Surveys and Tutorials, 15(3), 996–1019.
Yan, Z., Zhou, W., Chen, S., & Liu, H. (2016). Modeling and analysis of two-tier hetnets with cognitive small cells. IEEE Access, 5, 2904–2912.
Huang, Li., Zhu, G., & Xiaojiang, Du. (2013). Cognitive femtocell networks: an opportunistic spectrum access for future indoor wireless coverage. IEEE Wireless Communications, 20(2), 44–51.
Yulin, Hu., Cenk Gursoy, M., & Schmeink, A. (2018). Relaying-Enabled Ultra-Reliable Low-Latency Communications in 5G”. IEEE Network, 32(2), 62–68.
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Ouamri, M.A. Stochastic geometry modeling and analysis of downlink coverage and rate in small cell network. Telecommun Syst 77, 767–779 (2021). https://doi.org/10.1007/s11235-021-00770-5
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DOI: https://doi.org/10.1007/s11235-021-00770-5