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Performance Analysis of Heterogeneous Network Using Relay Diversity in High-Speed Vehicular Communication


In the high-speed vehicular scenario, mobile users suffer from high Vehicle Penetration Loss (VPL) and large doppler spread. Due to this, signal strength fluctuates rapidly at both mobile and base station (BS) end. This signal strength fluctuation results in frequent handovers and a decrease in energy efficiency. Relay is one of the important technologies to overcome these issues. Homogeneous network models using fixed and moving relays (MRs) have been proposed in the past to eliminate the effect of VPL and minimize the frequent handover by group handover. A heterogeneous network (HetNet) model using one MR has been proposed for downlink communication in the past. In this paper, we propose the HetNet model using two MR for downlink communication. We derive the coverage probability and analyze the coverage distance and per-user capacity for a cooperative network. We show that coverage probability, coverage distance and per-user capacity increase by using two MRs for the cooperative network, which is better than the one MR HetNet model for downlink communication.This result will be helpful and provide a choice in deploying MR in the next-generation network. Monte Carlo simulation is used to verify the result obtained from the analytical analysis.

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  1. Wu, J., & Fan, P. (2016). A survey on high mobility wireless communications: Challenges, opportunities and solutions. IEEE Access, 4, 450–476.

    Article  Google Scholar 

  2. Ma, Z., Zhang, Z., Ding, Z., Fan, P., & Li, H. (2015). Key techniques for 5G wireless communications: Network architecture, physical layer, and MAC layer perspectives. Science China information sciences, 58(4), 1–20.

    Article  Google Scholar 

  3. Fan, P., Zhao, J., & Chih-Lin, I. (2016). 5G high mobility wireless communications: Challenges and solutions. China Communications, 13(2), 1–13.

    Article  Google Scholar 

  4. Zhu, X., Chen, S., Hu, H., Su, X., & Shi, Y. (2013). TDD-based mobile communication solutions for high-speed railway scenarios. IEEE Wireless Communications, 20(6), 22–29.

    Article  Google Scholar 

  5. Tanghe, E., Joseph, W., Verloock, L., & Martens, L. (2008). Evaluation of vehicle penetration loss at wireless communication frequencies. IEEE Transactions on Vehicular Technology, 57(4), 2036–2041.

    Article  Google Scholar 

  6. Cho, W., Oh, H. S., & Kwak, D. Y. (2009). Effect of relay locations in cooperative networks. In 2009 1st International Conference on Wireless Communication, Vehicular Technology, Information Theory and Aerospace & Electronic Systems Technology (pp. 737–741). IEEE.

  7. Li, J., & Safaei, F. (2020). Outage probability and throughput analyses in full-duplex relaying systems with energy transfer. IEEE Access, 8, 150150–150161.

    Article  Google Scholar 

  8. Xue, Q., & Pantelidou, A. (2010). Energy-efficient relay selection for multicast traffic. In 2010 IEEE 21st International Symposium on Personal, Indoor and Mobile Radio Communications Workshops (pp. 341–346). IEEE.

  9. Cover, T., & Gamal, A. E. (1979). Capacity theorems for the relay channel. IEEE Transactions on information theory, 25(5), 572–584.

    MathSciNet  Article  Google Scholar 

  10. Yang, W., Li, L., Wu, G., Wang, H., & Wang, Y. (2010). Joint uplink and downlink relay selection in cooperative cellular networks. In 2010 IEEE 72nd Vehicular Technology Conference-Fall (pp. 1–5). IEEE.

  11. Sui, Y., Papadogiannis, A., Yang, W., & Svensson, T. (2013). The energy efficiency potential of moving and fixed relays for vehicular users. In 2013 IEEE 78th Vehicular Technology Conference (VTC Fall) (pp. 1–7). IEEE.

  12. Sternad, M., Grieger, M., Apelfröjd, 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). IEEE.

  13. 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). IEEE.

  14. Wang, X. (2018). Moving relays in downlink multiuser networks-a physical-layer security perspective. In 2018 IEEE 87th Vehicular Technology Conference (VTC Spring) (pp. 1–5). IEEE.

  15. 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 (pp. 301–308). IEEE.

  16. 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). IEEE.

  17. Zafar, A., Shaqfeh, M., Alnuweiri, H., & Alouini, M. S. (2017). Capacity gains of buffer-aided moving relays. In 2017 International Conference on Computing, Networking and Communications (ICNC) (pp. 64–69). IEEE.

  18. Tang, X., Xu, X., Svensson, T., & Tao, X. (2017). Coverage performance of joint transmission for moving relay enabled cellular networks in dense urban scenarios. IEEE Access, 5, 13001–13009.

    Article  Google Scholar 

  19. Xu, X., Zhang, Y., & Tao, X. (2016). Coverage analysis for moving relay enabled cellular networks. Electronics Letters, 52(20), 1727–1729.

    Article  Google Scholar 

  20. Zeng, Y., Zhang, R., & Lim, T. J. (2016). Throughput maximization for UAV-enabled mobile relaying systems. IEEE Transactions on Communications, 64(12), 4983–4996.

    Article  Google Scholar 

  21. Feteiha, M. F., & Ahmed, M. H. (2018). Multihop best-relay selection for vehicular communication over highways traffic. IEEE Transactions on Vehicular Technology, 67(10), 9845–9855.

    Article  Google Scholar 

  22. 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). IEEE.

  23. Yahya, A., Chuma, J., Mosutlha, I., & Aldhaibani, J. A. (2018). Performance Enhancement for LTE-A Networks Using Small Nodes. Journal of Telecommunication, Electronic and Computer Engineering (JTEC), 10(1–9), 53–57.

  24. Oliva, D., & Alonso, J. I. (2018). A two-hop MIMO relay architecture using LTE and millimeter wave bands in high speed trains. In 2018 IEEE Wireless Communications and Networking Conference (WCNC) (pp. 1–6). IEEE.

  25. Ghazzai, H., Bouchoucha, T., Alsharoa, A., Yaacoub, E., Alouini, M. S., & Al-Naffouri, T. Y. (2016). Transmit power minimization and base station planning for high-speed trains with multiple moving relays in OFDMA systems. IEEE Transactions on Vehicular Technology, 66(1), 175–187.

    Google Scholar 

  26. “3rd Generation Partnership Project: Technical Specification Group Radio Access Network,” Mobile Relay for E-UTRA, 06/2012, 3GPP TR 36.836 V1.0.0.

  27. Laiyemo, A. O., Pennanen, H., Pirinen, P., & Latva-aho, M. (2016). Effective deployment of cooperative moving relay nodes in a high speed train. In 2016 Wireless Days (WD) (pp. 1–6). IEEE.

  28. Khan, A., & Jamalipour, A. (2015). Moving relays in heterogeneous cellular networks—A coverage performance analysis. IEEE Transactions on Vehicular Technology, 65(8), 6128–6135.

    Article  Google Scholar 

  29. Khan, A., & Jamalipour, A. (2016). An outage performance analysis with moving relays on suburban trains for uplink. IEEE Transactions on Vehicular Technology, 66(5), 3966–3975.

    Google Scholar 

  30. Munjal, M., & Singh, N. P. (2019). Group mobility by cooperative communication for high speed railway. Wireless Networks, 25(7), 3857–3866.

    Article  Google Scholar 

  31. V. V. Phan, K. Horneman, L. Yu and J. Vihriala, “Providiing enhanced cellular coverage in public transportation with smart relay systems,” IEEE Vehicular Networking Conference (VNC), New Jersey, USA, December 2010

  32. Sui, Y., Papadogiannis, A., Yang, W., & Svensson, T. (2013). “The energy efficiency potential of moving and fixed relays for vehicular users”, IEEE Vehicular Technology Conference (VTC Fall). Las Vegas.

    Google Scholar 

  33. Yahya, A. (2016). LTE-A cellular networks: Multi-hop relay for coverage. Springer.

    Google Scholar 

  34. Zhu, X., Chen, S., Hu, H., Su, X., & Shi, Y. (2013). ‘TDD-based mobile communication solutions for high-speed railway scenarios.’ IEEE Wireless Commun., 20(6), 22–29.

    Article  Google Scholar 

  35. Wyner, A. (1994). Shannon-theoretic approach to a Gaussian cellular multipleaccess channel. IEEE Transaction on Information Theory, 40(6), 1713–1727.

    Article  Google Scholar 

  36. Letzepis, N., & Grant, A. (2005) Information capacity of multiple spot beam satellite channels, Proc. 6th Australian Communications Theory Workshop, pp. 168–174, February 2005.

  37. Somekh, O., & Shamai, S. (2000). Shannon-theoretic approach to a gaussian cellular multiple-access channel with fading. IEEE Transactions on Information Theory, 46(4), 1401.

    MathSciNet  Article  Google Scholar 

  38. Kaltakis, D., Imran, M. A., & Tzaras, C. (2010). Information capacity of cellular multiple access channel with shadow fading. IEEE Transactions on Wireless Communications, 58(5), 1468–1476.

    Article  Google Scholar 

  39. Rappaport, T. S. (2002). Wireless communications principles and practice (2nd ed.). Prentice Hall.

    MATH  Google Scholar 

  40. Qualcomm, “LTE Advanced: heterogeneous networks,” white paper, January 2011.

  41. Wu, X., Murherjee, B., & Ghosal, D. (2004). Hierarchical architectures in the third-generation cellular networks. IEEE Wireless Communications, 11(3), 62–71.

    Article  Google Scholar 

  42. Kishore, S., Greenstein, L., Poor, H., & Schwartz, S. (2003). Uplink user capacity in a CDMA macrocell with a hotspot microcell: Exact and approximate analysis. IEEE Transactions on Wireless Communications, 2(2), 364–374.

    Article  Google Scholar 

  43. Roh, W and Paulraj, A. (2003) Performance of distributed antenna systems in a multi-cell environment, Proc. IEEE Vehicular Technology Conference Spring 2003, pp. 587–591.

  44. Andrews, J. G., Claussen, H., Dohler, M., Rangan, S., & Reed, M. C. (2012). Femtocells: Past, present, and future. IEEE Journal on Selected Areas in Communications, 30(3), 497–508.

    Article  Google Scholar 

  45. Brown, T. X. (2000). Cellular performance bounds via shotgun cellular systems. IEEE Journal on Selected Areas in Communications, 18(11), 2443–2455.

    Article  Google Scholar 

  46. Baccelli, F., & Zuyev, S. (1997). Stochastic geometry models of mobile communication networks (pp. 227–243). Frontiers in Queueing.

    MATH  Google Scholar 

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

    Article  Google Scholar 

  48. Fleming, P. J., Stolyar, A. L. and Simon, B. (1997) Closed-form expressions for other-cell interference in cellular CDMA, Technical Report 116,University of Colorado at Boulder.

  49. Kingman, J. F. C. (1993). Poisson process. Oxford University Press.

    MATH  Google Scholar 

  50. Baccelli, F and Blaszczyszyn, B. (2009). Stochastic geometry and wireless networks NOW publishers: Foundations and Trends in Networking.

  51. Stoyan, D., Kendall, W. S., & Mecke, J. (1995). Stochastic geometry and its applications (2nd ed.). Wiley.

    MATH  Google Scholar 

  52. Baccelli, F., Klein, M., Lebourges, M., & Zuyev, S. (1997). “Stochastic geometry and architecture of communication networks. Journal on Telecommunication Systems, 7(1), 209227.

    Article  Google Scholar 

  53. Xu, J., Zhang, J., & Andrews, J. G. (2011). On the accuracy of the Wyner model in cellular networks. IEEE Transactions on Wireless Communications, 10(9), 3098–3109.

    Article  Google Scholar 

  54. Annavajjala, R., Chockalingam, A., & Mohammed, S. K. (2010). On a ratio of functions of exponential random variables and some applications. IEEE Transactions on Communications, 58(11), 3091–3097.

    Article  Google Scholar 

  55. Gupta, R. D., & Kundu, D. (1999). Generalized exponential distributions. Australian & New Zealand Journal of Statistics, 41(2), 173–188.

    MathSciNet  Article  Google Scholar 

  56. Suraweera, H. A., Garg, H. K., & Nallanathan, A. (2010). Performance analysis of two hop amplify-and-forward systems with interference at the relay. IEEE Communications Letters, 14(8), 692–694.

    Article  Google Scholar 

  57. Gu, X., Deng, X., Li, Q., Zhang, L., & Li, W. (2014). Capacity analysis and optimization in heterogeneous network with adaptive cell range control. International Journal of Antennas and Propagation, 2014, 1.

    Article  Google Scholar 

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First Author has done manuscript conceptualization, simulation, and writing. The second Author has done the supervision, and the third Author has done the reviewing.

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Correspondence to Mohd Javed Khan.

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Khan, M.J., Chauhan, R.C.S. & Singh, I. Performance Analysis of Heterogeneous Network Using Relay Diversity in High-Speed Vehicular Communication. Wireless Pers Commun (2022).

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  • Heterogeneous cellular network
  • Moving relay
  • Coverage probability
  • Cooperative communication