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A MGF Based Closed Form Expressions for Error Probability and Capacity Over EGK Fading for Interference Limited System

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Abstract

Rapid increase in the number of user per day has been observed in the field of wireless communication. This demands more and more data rate. Indoor deployment has been proposed as one of the solution to handle the challenge of the high rate. However, indoor scenario is prone to interference. Specifically, in femto-cell, both intra-tier and cross-tier interference are present simultaneously. This makes the system interference limited. Furthermore, extended generalized K (EGK) fading channel model is one of the most suitable channel models for indoor wireless system. This paper presents performance analysis over EGK fading channel in an interference limited system. The numerical analysis of proposed closed form expressions for various bit error rate, capacity under optimal rate adaptation and capacity under channel inversion have been presented. In each case it has been observed that on increasing shadowing parameter (m sd ) or the multipath parameter (m d ) in the desired path the severity in the desired path decreases, which improves system performance. This paper also includes shaping parameters of the multipath and shadowing simultaneously not only in the desired but in the interfering path as well.

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References

  1. Picochip, Airvana, IP.access, Gartner, Telefonica Espana. (2007). Home access points and femtocells. In 2nd international conference, ABI research. www.avrenevents.com/dallasfemto2007/purchase_presentations.html.

  2. Collonge, S., Zaharia, G., & Zein, G. E. (2004). Influence of the human activity on wide-band characteristics of the 60 GHz indoor radio channel. IEEE Transactions on Wireless Communication, 3(6), 2396–2406.

    Article  Google Scholar 

  3. Obayashi, S., & Zander, J. (1998). A body-shadowing model for indoor radio communication environments. IEEE Transactions on Antennas and Propagation, 46(6), 920–927.

    Article  Google Scholar 

  4. Geng, S., Kivinen, J., Zhao, X., & Vainikainen, P. (2009). Millimeter-wave propagation channel characterization for short-range wireless communications. IEEE Transactions on Vehicular Technology, 58(1), 3–13.

    Article  Google Scholar 

  5. Yilmaz, F., & Alouini, M. S. (2010). Extended Generalized-K (EGK): A new simple and general model for composite fading channels. arXiv preprint. https://arxiv.org/pdf/1012.2598

  6. Simon, M. K., & Alouni, M. S. (2005). Digital communication over fading channels: A unified approach to performance analysis (2nd ed.). Hoboken: Wiley.

    Google Scholar 

  7. Clark, J. R., & Karp, S. (1970). Approximations for log-normally fading optical signals. Proceedings of the IEEE, 58, 1964–1965.

    Article  Google Scholar 

  8. Shankar, P. M. (2004). Error rates in generalized shadowed fading channels. Wireless Personal Communications, 28, 233–238.

    Article  Google Scholar 

  9. Bithas, P. S., Sagias, N. C., Mathiopoulos, P. T., Karagiannidis, G. K., & Rontogiannis, A. A. (2006). On the performance analysis of digital communications over Generalized-K fading channels. IEEE Communication Letter, 10(5), 353–355.

    Article  Google Scholar 

  10. Laourine, A., Alouini, M. S., Affes, S., & Stephenne, A. (2008). On the capacity of generalized-K fading channels. IEEE Transactions on Wireless Communications, 7(7), 2441–2445.

    Article  Google Scholar 

  11. Abdi, A., & Kaveh, M. (1998). K distribution: An appropriate substitute for Rayleigh-lognormal distribution in fading-shadowing wireless channels. Electronics Letters, 34(9), 851–852.

    Article  Google Scholar 

  12. Yilmaz, F., & Alouini, M.-S. (2010). A unified MGF-based capacity analysis of diversity combiners over generalized fading channels. IEEE Transactions on Communication, 60(03), 1–26.

    Google Scholar 

  13. Ansari, I. S., Al-Ahmadi, S., Yilmaz, F., Alouini, M. S., & Yanikomeroglu, H. (2011). A new formula for the BER of binary modulations with dual-branch selection over generalized-K composite fading channels. IEEE Transactions on Communications, 59(10), 2654–2658.  

    Article  Google Scholar 

  14. Bithas, P., Sagias, N., Mathiopoulos, P., Karagiannidis, G., & Rontogiannis, A. (2005). Digital communications over generalized-K fading channels. In Proceeding of the IEEE 2nd international symposium on wireless communication systems (ISWCS) (pp. 684–687).

  15. Yilmaz, F., & Alouini, M.-S. (2010). A new simple model for composite fading channels: second order statistics and channel capacity. In Proceeding of the IEEE 7th international symposium on wireless communication systems (ISWCS) (pp. 676–680).

  16. Yilmaz, F., & Alouini, M.-S. (2011). A novel unified expression for the capacity and bit error probability of wireless communication systems over generalized fading channels. IEEE Transactions on Communication, 60(7), 1–31.

    Google Scholar 

  17. Soury, H., Yilmaz, F., & Alouini, M.-S. (2012). Average bit error probability of binary coherent signaling over generalized fading channels subject to additive generalized Gaussian noise. IEEE Communication Letter, 16(6), 785–788.

    Article  Google Scholar 

  18. Zhang, J., & de la Roche, G. (2010). Femtocells: Technologies and deployment. New York: Wiley.

    Book  Google Scholar 

  19. Cheng, S.-M., Lien, S.-Y., Chu, F.-S., & Chen, K.-C. (2011). On exploiting cognitive radio to mitigate interference in macro/femto heterogeneous networks. IEEE Wireless Communications, 18, 40–47.

    Article  Google Scholar 

  20. Lao, D., & Haimovich, A. M. (2003). Exact closed-form performance analysis of optimum combining with multiple co-channel interferers and Rayleigh fading. IEEE Transactions on Communication, 51(6), 995–1003.

    Article  Google Scholar 

  21. Kwak, J. S., & Lee, J. H. (2006). Closed-form expressions of approximate error rates for optimum combining with multiple interferers in a Rayleigh fading channel. IEEE Transactions on Vehicular Techonology, 55(1), 158–166.

    Article  Google Scholar 

  22. Sagias, N. C., Tombras, G. S., Karagiannidis, G. K., & Tsiftsis, T. A. (2006). Equal-gain combining receivers over interference-limited Nakagami-m fading with multiple co-channel interferers. In National conference on communication (NCC).

  23. McKay, M. R., Zanella, A., Collings, I. B., & Chiani, M. (2009). Error probability and SINR analysis of optimum combining in Rician fading. IEEE Transactions on Communication, 57(3), 676–687.

    Article  Google Scholar 

  24. Ali, O. B. S., Cardinal, C., & Gagnon, F. (2010). Performance of optimum combining in a Poisson field of interferers and Rayleigh fading channels. IEEE Transactions on Wireless Communication, 9(8), 2461–2467.

    Article  Google Scholar 

  25. Spalević, P. Ć., Panić, S. R., Dolićanin, Ć. B., Stefanović, M. Č., & Mosić, A. V. (2010). SSC diversity receiver over correlated fading channels in the presence of cochannel interference. EURASIP Journal on Wireless Communications and Networking. doi:10.1155/2010/142392.

    Google Scholar 

  26. Spalevic, P. C., Stefanovic, M., Panic, S. R., Milosevic, B., & Trajcevski, Z. (2011). The Co-channel interference effect on average error rates in nakagami-Q (Hoyt) fading channels. Électronique et transmission de l’information, 56(3), 305–313. (in Bucarest).

    Google Scholar 

  27. Vasef, M. (2012). Effective capacity of a rayleigh fading channel in the presence of interference. arXiv preprint. http://arxiv.org/abs/1207.2904

  28. Petković, M., Stefanović, M., Cvetković, A., Krstić, D., Mitić, I., & Stefanović, Č. (2013). Outage probability analysis of system with dual selection combining over correlated Weibull fading channel in the presence of α-µ co-channel interference. Przegląd Elektrotechniczny, 89(8), 126–129.

    Google Scholar 

  29. Panić, S. R., Jakšić, D., Ninković, S., Jovković, S., & Milošević, B. (2013). Performance analysis of wireless communication system over α-η-μ fading channels in the presence of CCI. Infoteh-Jahorina, 12, 395–398.

    Google Scholar 

  30. Nikolic, B. Z., Stefanovic, M. C., Panic, S. R., Anastasov, J. A., & Milosevic, B. (2011). Closed-form expressions for selection combining system statistics over correlated generalized-K fading channels in the presence of interference. ETRI Journal, 33(3), 320–325.

    Article  Google Scholar 

  31. Shankar, P. M. (2013). Maximal ratio combining in shadowed fading channels in presence of shadowed fading co channel interference (CCI). WPC, 68(1), 15–20.

    MathSciNet  Google Scholar 

  32. Trigui, I., Laourine, A., Affes, S., & Stephenne, A. (2009). Performance analysis of mobile radio systems over composite fading/shadowing channels with co-located interference. IEEE Transactions on Wireless Communications, 8(7), 3448–3453.

    Article  Google Scholar 

  33. Anastasov, J. A., Djordjevic, G. T., & Stefanovic, M. C. (2012). Analytical model for outage probability of interference-limited systems over extended generalized-K fading channels. IEEE Communication Letter, 16(4), 473–475.

    Article  Google Scholar 

  34. Shin, H., & Lee, J. H. (2004). On the error probability of binary and M-ary signals in Nakagami-m fading channels. IEEE Transactions on Communication, 52(4), 536–539.

    Article  Google Scholar 

  35. Kilbas, A., & Saigo, M. (2004). H-transforms: Theory and applications. Boca Raton: CRC Press LLC.

    Book  MATH  Google Scholar 

  36. Khatib, M., Peppas, K. P. Nistazakis, H. E., & Tombras, G.S. (2011). An overview of the physical insight and the various performance metrics of fading channels in wireless communication systems: Advanced trends in wireless communications. ISBN: 978-953-307-183-1, InTech.

  37. McKay, M. R., Zanella, A., Collings, I. B., & Chiani, M. (2009). Error probability and SINR analysis of optimum combining in Rician fading. IEEE Transactions on Communication., 57(3), 676–687.

    Article  Google Scholar 

  38. Chiani, M., Dardari, D., & Simon, M. K. (2003). New exponential bounds and approximations for the computation of error probability in fading channels. IEEE Transactions on Wireless Communication., 2(4), 840–845.

    Article  Google Scholar 

  39. Di Renzo, M., Graziosi, F., & Santucci, F. (2010). Channel capacity over generalized fading channels: A novel MGF-based approach for performance analysis and design of wireless communication systems. IEEE Transactions on Vehicular Techonology, 59(1), 127–149.

    Article  Google Scholar 

  40. Prudnikov, A. P., Brychkov, Y. A., & Marichev, O. I. (1990). Integrals and series: More special functions (Vol. 3, G. G. Gould, Trans.). Gordon and Breach Science.

  41. Mathai, A. M., Saxena, R. K., & Haubold, H. J. (2009). The H-function: Theory and applications (1st ed.). Berlin: Springer.

    MATH  Google Scholar 

  42. Anadani P. (1967). Some integrals involving products of Meijer’s G and fox H function. In Proceedings of the Cambridge philosophical society (pp. 312–321).

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Correspondence to S. Pratap Singh.

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Singh, S.P., Kumar, S. A MGF Based Closed Form Expressions for Error Probability and Capacity Over EGK Fading for Interference Limited System. Wireless Pers Commun 91, 577–593 (2016). https://doi.org/10.1007/s11277-016-3478-3

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  • DOI: https://doi.org/10.1007/s11277-016-3478-3

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