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Coverage Analysis of Mobile Network in Nakagami Fading Channel

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Abstract

Analysis of coverage and bit error rate (BER) for Wireless systems in a Nakagami fading channel have been reported in the literature. Most of the analysis considers the nodes to be static and the received power follows Gamma distribution. However, the nodes in Mobile Ad hoc Networks are mostly mobile. The mobility pattern of nodes is depicted using mobility models. In this paper, we consider the Random Direction mobility model to represent the mobility of mobile nodes. Due to mobility of nodes, the received power at the nodes does not follow Gamma distribution in a Nakagami fading environment. The probability density function and cumulative distribution function of the received power at the mobile nodes are derived in this paper. Subsequently, the coverage probability and average BER are derived. Furthermore, the effects of interference due to the presence of neighboring nodes on the coverage probability and average BER are investigated.

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References

  1. Rappaport, T. (1996). Wireless communications: principles and practice. Englewood Cliffs, NJ: Prentice-Hall.

    MATH  Google Scholar 

  2. Simon, M. K., & Alouini, M. S. (2005). Digital communication over fading channels (2nd ed.). New York: Wiley.

    Google Scholar 

  3. Goldsmith, A. (2005). Wireless communications. New York, NY: Cambridge University Press.

    Book  Google Scholar 

  4. Perkins, C. E. (2001). Ad hoc networking” text book. Boston: Addison-wesley.

    Google Scholar 

  5. Srinivasa, S., & Haenggi, M. (2010). Distance distributions in finite uniformly random network: Theory and applications. IEEE Transactions on Vehicular Technology, 59(2), 940–949.

    Article  Google Scholar 

  6. Govindan, K., Zeng, K., & Mohapatra, P. (2011). Probability density of the received power in mobile networks. IEEE Transactions on Wireless Communications, 10(11), 3613–3619.

    Article  Google Scholar 

  7. Grossglauser, M., & Tse, D. N. C. (2002). Mobility increases the capacity of ad-hoc networks. IEEE/ACM Transactions on Networking, 10(4), 477–486.

    Article  Google Scholar 

  8. Miorandi, D., Altman, E., & Alfano, G. (2008). The impact of channel randomness on the coverage and connectivity of ad hoc and sensor networks. IEEE Transactions on Wireless Communications, 7(3), 1062–1072.

    Article  Google Scholar 

  9. Mousavi, S. M., Rabiee, H. R., Moshref, M., & Dabirmoghaddam, A. (2007). MobiSim: A framework for simulation of mobility models in mobile ad-hoc networks. In Proceedings of the Third IEEE international conference on wireless and mobile computing, networking and communications (p. 82).

  10. Royer, E., Melliar-Smith, P. M., & Moser, L. (2001). An analysis of the optimum node density for ad hoc mobile networks. In Proceedings of the IEEE international conference on communications (ICC).

  11. Bai, F., & Helmy, A. A. (2004). A survey of mobility models in wireless Adhoc networks. Kluwer Academic Publishers.

  12. Nain, P., Towsley, D., Liu, B., & Liu, Z. (2005). Properties of random direction models. In Proceedings of the IEEE 24th annual joint conference of the computer and communications societies (INFOCOM 2005) (Vol. 3, pp. 1897–1907).

  13. Ali, T., & Saquib, M. (2011). Performance evaluation of WLAN/cellular media access for mobile users under random mobility models”. IEEE Transactions on Wireless Communications, 10(10), 3241–3255.

    Article  Google Scholar 

  14. Narasimhan, R., & Cox, C. (2001). Estimation of mobile speed and average received power in wireless systems using best basis methods. IEEE Transactions on Communications, 49(12), 2172–2183.

    Article  MATH  Google Scholar 

  15. Haenggi, M. (2005). Routing in random Rayleigh fading networks. IEEE Transactions on Wireless Communications, 4(4), 1553–1562.

    Article  Google Scholar 

  16. Gradshteyn, I., & Ryzhik, I. M. (2000). Tables of integrals, series, and products (6th ed.). New York: Academic Press.

    MATH  Google Scholar 

  17. Saishankar, K. P., Kalyani, S., Ganti, R. K., & Giridhar, K. (2013). Coverage probability in cellular networks with partial or full loading. In Proceedings of the IEEE international conference on communications, Budapest, Hungary.

  18. Feller, W. (1966). An introduction to probability theory and its applications (Vol. 2). New York: Wiley.

    MATH  Google Scholar 

  19. Yao, Y.-D., & Sheikh, A. U. H. (1992). Investigations into cochannel interference in microcellular mobile radio systems”. IEEE Transactions on Vehicular Technology, 41(2), 114–123.

    Article  Google Scholar 

  20. Abramovitz, M. & Stegun, I. (1964). Handbook of mathematical functions with formulas, graphs, and mathematical tables. New York: Dover, ISBN: 0-486-61272-4.

  21. Prudnikov, A. P., Brychkov, Y. A., & Marichev, O. I. (1986). Integrals and series volume 3: more special functions (2nd ed.). New York: Gordon and reach Science Publishers.

    MATH  Google Scholar 

  22. Aalo, V. A., Piboongungon, T., & Iskander, C.-D. (2005). Bit-error rate of binary digital modulation schemes in generalized gamma fading channels. IEEE Communications Letters, 9(2), 139–141.

    Article  Google Scholar 

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Correspondence to Manoranjan Das.

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Das, M., Sahu, B. & Bhanja, U. Coverage Analysis of Mobile Network in Nakagami Fading Channel. Wireless Pers Commun 97, 3261–3276 (2017). https://doi.org/10.1007/s11277-017-4675-4

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