Abstract
With the popularity of smart phones and tablets, people make intensive use of these devices on public transport. The deployment of mobile relays on public transport may increase the quality of mobile services.The objective of this paper is to study the performance of cellular networks when mobile relays are deployed in public transport vehicles. We consider two modes: in the FDD mobile relay mode, the same spectrum is reused for all links while in the TDD/FDD hybrid mode, a small part of the spectrum is dedicated to the access link between the terminals inside a transport vehicle and the mobile relay. We provide a general analytical model for the two mobile relay modes by using the stochastic geometry approach. Key metrics like the CDF of the SINR and the CDF of the end-to-end rate are computed. Furthermore, the cell total average rate and the energy efficiency in different modes are evaluated. It has been found that penetration loss is a factor that determines how much gain mobile relay can bring. Numerical results show that when the ratio of vehicular UEs in the cell is 0.4 and the penetration loss is 20 dB, the FDD mobile relay mode and the TDD/FDD hybrid mobile relay mode can achieve \(+16.3, +29.1\%\) cell rate gain respectively compared with the direct mode.
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Popovski, P., Braun, V., Mayer, H. P., Fertl, P., Ren, Z., Gonzales-Serrano, D., Ström, E., Svensson, T., Taoka, H., & Agyapong, P., et al. (2013). Scenarios, requirements and kpis for 5g mobile and wireless systems. The METIS project: Mobile and wireless communications Enablers for the Twenty-twenty Information Society, Tech. Rep. ICT-317669-METIS D, 1.
Holma, H., & Toskala, A. (Eds.). (2012). LTE Advanced: 3GPP Solution for IMT-Advanced. Hoboken: Wiley.
Liu, L., Tao, C., Qiu, J., Chen, H., Li, Yu., Dong, W., et al. (2012). Position-based modeling for wireless channel on high-speed railway under a viaduct at 2.35 ghz. IEEE Journal on Selected Areas in Communications, 30(4), 834–845.
Chen, L., Huang, Y., Xie, F., Gao, Y., Chu, L., He, H., et al. (2013). Mobile relay in lte-advanced systems. IEEE Communications Magazine, 51(11), 144–151.
Sui, Y., Vihriala, J., Papadogiannis, A., Sternad, M., Yang, W., & Svensson, T. (2013). Moving cells: A promising solution to boost performance for vehicular users. IEEE Communications Magazine, 51(6), 62–68.
3rd Generation Partnership Project. Evolved Universal Terrestrial Radio Access (E-UTRA); Study on mobile relay (Release 12). V12.0.0 Technical Report 36.836, 3GPP, (June 2014).
Wern-Ho, S., Lin, S.-J., & Huang, Chia-Chi. (2010). Downlink optimization and performance of relay-assisted cellular networks in multicell environments. IEEE Transactions on Vehicular Technology, 59(5), 2529–2542.
Hong, W., Han, J., & Wang, H., (2011). Full uplink performance evaluation of fdd/tdd lte-advanced networks with type-1 relays. In 2011 IEEE Vehicular Technology Conference (VTC Fall), (pp. 1–5), Sept 2011.
Aggarwal, V., Bennatan, A., & Calderbank, A. R. (2009). On maximizing coverage in gaussian relay channels. IEEE Transactions on Information Theory, 55(6), 2518–2536.
Eguizábal, M., & Hernández, Ángela. (2016). Resource allocation and interference management strategies for inband relaying in lte-a. Telecommunication Systems, 61(4), 839–860.
Minelli, M., Ma, M., Coupechoux, M., Kelif, J.-M., Sigelle, M., & Godlewski, P. (2014). Optimal relay placement in cellular networks. IEEE Transactions on Wireless Communications, 13(2), 998–1009.
Li, W., Zhang, C., Duan, X., Jia, S., Liu, Y., & Zhang, L., (2012). Performance evaluation and analysis on group mobility of mobile relay for lte advanced system. In 2012 IEEE Vehicular Technology Conference (VTC Fall), (pp. 1–5), Sept 2012.
Atat, R., Yaacoub, E., Alouini, M., & Abu-Dayya, A. (2012) Heterogeneous lte/802.11a mobile relays for data rate enhancement and energy-efficiency in high speed trains. In 2012 IEEE Globecom Workshops (GC Wkshps), (pp.421–425), Dec 2012.
Van Phan, V., Horneman, K., Yu, L., & Vihriala, J. (2010). Providing enhanced cellular coverage in public transportation with smart relay systems. In 2010 IEEE Vehicular Networking Conference (VNC), (pp. 301–308), Dec 2010.
Scott, S., Leinonen, J., Pirinen, P., Vihriala, J., Van Phan, V., & Latva-Aho, M. (2013). A cooperative moving relay node system deployment in a high speed train. In 2013 IEEE 77th Vehicular Technology Conference (VTC Spring), (pp. 1–5), June 2013.
Yang, L., Ren, G., & Qiu, Z. (2012). A novel doppler frequency offset estimation method for dvb-t system in hst environment. IEEE Transactions on Broadcasting, 58(1), 139–143.
Yang, Y., Fan, P., & Huang, Y. (2012). Doppler frequency offsets estimation and diversity reception scheme of high speed railway with multiple antennas on separated carriages. In 2012 International Conference on Wireless Communications Signal Processing (WCSP), (pp. 1–6), Oct 2012.
Sternad, M., Grieger, M., Apelfrojd, R., Svensson, T., Aronsson, D. & Martinez, A.B. (2012). Using “predictor antennas” for long-range prediction of fast fading for moving relays. In 2012 IEEE Wireless Communications and Networking Conference Workshops (WCNCW), (pp. 253–257), April 2012.
Alsharoa, A., Ghazzai, H., Yaacoub, E., & Alouini, M.S. (2014). Energy-efficient two-hop lte resource allocation in high speed trains with moving relays. In 2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt), (pp. 528–533), May 2014.
Zhu, X., Chen, S., Haijing, H., Xin, S., & Shi, Y. (2013). Tdd-based mobile communication solutions for high-speed railway scenarios. IEEE Wireless Communications, 20(6), 22–29.
Lin, H., Gu, D., Wang, W., & Yang, H. (2009). Capacity analysis of dedicated fixed and mobile relay in lte-advanced cellular networks. In Communications Technology and Applications, 2009. ICCTA ’09. IEEE International Conference on, (pp. 354–359), Oct 2009.
Sui, Y., Papadogiannis, A., & Svensson, T. (2012). The potential of moving relays - a performance analysis. In 2012 IEEE 75th Vehicular Technology Conference (VTC Spring), (pp. 1–5), May 2012.
Sui, Y., Papadogiannis, A., Yang, W., & Svensson, T. (2013). The energy efficiency potential of moving and fixed relays for vehicular users. In Vehicular Technology Conference (VTC Fall), 2013 IEEE 78th, (pp. 1–7), Sept 2013.
Sui, Y., Papadogiannis, A., Yang, W., & Svensson, T. (2012). Performance omparison of fixed and moving relays under co-channel interference. In 2012 IEEE Globecom Workshops, (pp. 574–579). IEEE, Dec 2012.
Sui, Y., Guvenc, I., & Svensson, T. (2015). Interference management for moving networks in ultra-dense urban scenarios. EURASIP Journal on Wireless Communications and Networking, 2015(1), 1–32.
Kokkoniemi, J., Ylitalo, J., Luoto, P., Scott, S., Leinonen, J., & Latva-aho, M. (2013). Performance evaluation of vehicular lte mobile relay nodes. In 2013 IEEE 24th International Symposium on Personal Indoor and Mobile Radio Communications (PIMRC), (pp. 1972–1976), September 2013.
Grieger, M. & Fettweis, G. (2012). Field trial results on uplink joint detection for moving relays. In 2012 IEEE 8th International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob), (pp. 586–592), Oct 2012.
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.
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.
Baccelli, F. & Blaszczyszyn, B. (2009). Stochastic Geometry and Wireless Networks, Volume I - Theory. Foundations and Trends in Networking (Vol. 3: No 3-4, pp 249-449). NoW Publishers, 2009.
Vu, T.T., Decreusefond, L., & Martins, P. (2012). An analytical model for evaluating outage and handover probability of cellular wireless networks. In 2012 15th International Symposium on Wireless Personal Multimedia Communications (WPMC), (pp. 643–647), Sept 2012.
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.
Abboud, K., & Zhuang, W. (2014). Stochastic analysis of a single-hop communication link in vehicular ad hoc networks. IEEE Transactions on Intelligent Transportation Systems, 15(5), 2297–2307.
Deng, N., Zhang, S., Zhou, W., & Zhu, J. (2012). A stochastic geometry approach to energy efficiency in relay-assisted cellular networks. In IEEE Global Communications Conference (GLOBECOM), (pp. 3484–3489), December 2012.
Yu, H., Li, Y., Kountouris, M., Xu, X., & Wang, J. (2014). Energy efficiency analysis of relay-assisted cellular networks. EURASIP Journal on Advances in Signal Processing, 2014, 32.
Yu, H., Li, Y., Kountouris, M., Xu, X., & Wang, J. (2014). Energy efficiency analysis of relay-assisted cellular networks using stochastic geometry. In 2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt), (pp. 667–671), May 2014.
Zhang, Z., Li, Y., Huang, K., & Liang, C. (2015). Energy efficiency analysis of energy harvesting relay-aided cooperative networks. In 2015 13th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt), (pp. 1–7), May 2015.
Chen, H., Chen, W., Zhao, F., Fan, L., & Zhang, H. (2016). Stochastic geometry analysis of downlink energy efficiency for a relay deployment scheme in relay-assisted cellular networks. Telecommunication Systems, 63(2), 263–273.
Chen, Y., Martins, P., Decreusefond, L., Lagrange, X., & Yan, F. (2014). Stochastic analysis of a cellular network with mobile relays. In GLOBECOM 2014 : IEEE Global Communications Conference.
Dhillon, H. S., & Andrews, J. G. (2014). Downlink rate distribution in heterogeneous cellular networks under generalized cell selection. IEEE Wireless Communications Letters, 3(1), 42–45.
Madhusudhanan, P., Restrepo, J. G., Liu, Y., Brown, T. X., & Baker, K. R. (2014). Generalized carrier to interference ratio analysis for the shotgun cellular system. IEEE Transactions on Wireless Communications, 13(1), 6684–6696.
Ferenc, J.-S., & Neda, Z. (2007). On the size distribution of poisson-voronoi cells. Physica A-Statistical mechanics and Its applications, 385(2), 518–526.
Rasmussen, R. V., & Trick, M. A. (2008). Round robin scheduling-a survey. European Journal of Operational Research, 188(3), 617–636.
Singh, S., Dhillon, H. S., & Andrews, J. G. (2013). Offloading in heterogeneous networks: Modeling, analysis, and design insights. IEEE Transactions on Wireless Communications, 12(5), 2484–2497.
Stoyan, D., Kendall, W. S., & Mecke, J. (1996). Stochastic geometry and its applications (2nd ed.). Hoboken: Wiley.
Auer, G., Giannini, V., Desset, C., Godor, I., Skillermark, P., Olsson, M., et al. (2011). How much energy is needed to run a wireless network? IEEE Wireless Communications, 18(5), 40–49.
Fehske, AJ., Richter, F., & Fettweis, G.P. (2009). Energy efficiency improvements through micro sites in cellular mobile radio networks. In IEEE GLOBECOM Workshops, (pp. 1–5), November 2009.
Claussen, H., Ho, L.T.W., & Samuel, L.G. (2008). Self-optimization of coverage for femtocell deployments. In Wireless Telecommunications Symposium, 2008. WTS 2008, (pp. 278–285), April 2008.
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This work was performed within the SYSTUF project, which is subsidized by the French ministry of Industry in the framework of the AMI ITS program.
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Chen, Y., Yan, F. & Lagrange, X. Performance analysis of cellular networks with mobile relays under different modes. Telecommun Syst 66, 217–231 (2017). https://doi.org/10.1007/s11235-017-0284-5
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DOI: https://doi.org/10.1007/s11235-017-0284-5