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Effective capacity of wireless networks over double shadowed Rician fading channels

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Abstract

Recent advances in fifth-generation wireless networks demand quality-of-service (QoS) guarantees to support real-time services such as high-speed mobile networks, autonomous vehicles, and internet-of-things under delay constraints. Since the conventional ergodic capacity proposed by Shannon cannot account for QoS guarantees requirements, a new potential notion was presented to assess the performance of the wireless network in recent studies, which is called the effective capacity (EC). This paper conducts the performance analysis for EC over double shadowed Rician fading channels. To achieve this, the expression for the EC is derived in the closed-form. A truncation error of the expression for the corresponding EC is also derived, which is considerably tight. Furthermore, the consequences of channel and system parameters on the QoS performance of the wireless network are revealed by conducting an asymptotic EC analysis under the sovereignty of high signal-to-noise ratio (SNR). It is found that asymptotic bound for EC is notably tight and asymptotic EC matches with the analytical EC, when SNR is large (e.g. \(\bar{\gamma } \ge 20\) dB). Additionally, the expressions for the EC of shadowed Rician and Nakagami-q fading channels are deduced as special cases of double shadowed Rician fading. The results for these special cases show similar behaviour of EC as in case of double shadowed Rician fading channels.

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References

  1. Abdel-Malek, M. A., Seddik, K. G., ElBatt, T., & Mohasseb, Y. (2019). Effective capacity optimization for cognitive radio networks under primary QoS provisioning. Wireless Networks. https://doi.org/10.1007/s11276-019-02002-w.

    Article  Google Scholar 

  2. Lari, M. (2017). Effective capacity of receive antenna selection MIMO–OSTBC systems in co-channel interference. Wireless Networks,23(4), 1223–1231.

    Article  Google Scholar 

  3. Goldsmith, A. J., & Varaiya, P. P. (1997). Capacity of fading channels with channel side information. IEEE Transactions on Information Theory,43(6), 1986–1992.

    Article  MathSciNet  Google Scholar 

  4. Alouini, M. S., & Goldsmith, A. J. (1999). Capacity of Rayleigh fading channels under different adaptive transmission and diversity-combining techniques. IEEE Transactions on Vehicular Technology,48(4), 1165–1181.

    Article  Google Scholar 

  5. Alouini, M. S., & Goldsmith, A. J. (2000). Adaptive modulation over Nakagami fading channels. Wireless Personal Communications,13(1–2), 119–143.

    Article  Google Scholar 

  6. Zhang, Q. T., & Liu, D. P. (2002). A simple capacity formula for correlated diversity Rician fading channels. IEEE Communications Letters,6(11), 481–483.

    Article  Google Scholar 

  7. da Costa, D. B., & Yacoub, M. D. (2007). Average channel capacity for generalized fading scenarios. IEEE Communications Letters,11(12), 949–951.

    Article  Google Scholar 

  8. da Costa, D. B., & Yacoub, M. D. (2007). Channel capacity for single branch receivers operating in generalized fading scenarios. In 4th international symposium on wireless communication systems, Trondheim (pp. 215–218).

  9. Bithas, P. S., & Mathiopoulos, P. T. (2009). Capacity of correlated generalized gamma fading with dual- branch selection diversity. IEEE Transactions on Vehicular Technology,58(9), 5258–5663.

    Article  Google Scholar 

  10. Bithas, P. S., Efthymoglou, G. P., & Sagias, N. C. (2010). Spectral efficiency of adaptive transmission and selection diversity on generalised fading channels. IET Communications,4(17), 2058–2064.

    Article  MathSciNet  Google Scholar 

  11. Matthaiou, M., Chatzidiamantis, N. D., & Karagiannidis, G. K. (2011). A new lower bound on the ergodic capacity of distributed MIMO systems. IEEE Signal Processing Letters,18(4), 227–230.

    Article  Google Scholar 

  12. Singh, R., Soni, S. K., Raw, R. S., & Kumar, S. (2017). A new approximate closed-form distribution and performance analysis of a composite Weibull/log-normal fading channel. Wireless Personal Communications,92(3), 883–900.

    Article  Google Scholar 

  13. Wu, D., & Negi, R. (2003). Effective capacity: a wireless link model for support of quality of service. IEEE Transactions on Wireless Communications,2(4), 630–643.

    Google Scholar 

  14. Wu, D., & Negi, R. (2007). Effective capacity channel model for frequency-selective fading channels. Wireless Networks,13(3), 299–310.

    Article  Google Scholar 

  15. Almehmadi, F. S., & Badarneh, O. S. (2018). On the effective capacity of Fisher–Snedecor F fading channels. Electronics Letters,54(18), 1068–1070.

    Article  Google Scholar 

  16. Chen, S., Zhang, J., Karagiannidis, G. K., & Ai, B. (2018). Effective rate of MISO systems over fisher–snedecor F fading channels. IEEE Communications Letters,22(12), 2619–2622.

    Article  Google Scholar 

  17. Zhang, J., Dai, L., Gerstacker, W. H., & Wang, Z. (2015). Effective capacity of communication systems over κ-µ shadowed fading channels. Electronics Letters,51(19), 1540–1542.

    Article  Google Scholar 

  18. Li, X., Li, J., Li, L., Jin, J., et al. (2017). Effective rate of MISO systems over κ–µ shadowed fading channels. IEEE Access,5, 10605–10611.

    Article  Google Scholar 

  19. Al-Hmood, H., & Al-Raweshidy, H. (2018). Unified approaches based effective capacity analysis over composite α–η–µ/gamma fading channels. Electronics Letters,54(13), 852–853.

    Article  Google Scholar 

  20. Ji, Z., Wang, Y., & Lu, J. (2014). MGF-based effective capacity for generalized fading channels. Applied Mechanics and Materials,519–520, 929–933.

    Article  Google Scholar 

  21. Ji, Z., Dong, C., Wang, Y., & Lu, J., (2014). On the analysis of effective capacity over generalized fading channels. In Proceedings IEEE international conference on communications (ICC), Sydney (pp. 1977–1983).

  22. You, M., Sun, H., Jiang, J., & Zhang, J. (2016). Effective rate analysis in Weibull fading channels. IEEE Wireless Communications Letters,5(4), 340–343.

    Article  Google Scholar 

  23. You, M., Sun, H., Jiang, J., & Zhang, J. (2017). Unified framework for the effective rate analysis of wireless communication systems over MISO fading channels. IEEE Transactions on Communications,65(4), 1775–1785.

    Article  Google Scholar 

  24. Guo, X. B., Dong, L., & Yang, H. (2012). Performance analysis for effective rate of correlated MISO fading channels. Electronics Letters,48(24), 1564–1565.

    Article  Google Scholar 

  25. Bhargav, N., Silva, C. R. N. D., Cotton, S. L., Sofotasios, P. C., et al. (2019). Double shadowing the Rician fading model. IEEE Wireless Communications Letters,8(2), 344–347.

    Article  Google Scholar 

  26. Wolfram, The Wolfram functions site. Available at http://functions.wolfram.com. Retrieved 20 June, 2019.

  27. Prudnikov, A. P., Brychkov, Y. A., & Marichev, O. I. (1990). Integrals, and series: more special functions. USA: Gordon and Breach Science Publishers.

    MATH  Google Scholar 

  28. Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of integrals, series, and products. New York: Academic.

    MATH  Google Scholar 

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Acknowledgements

This work is an outcome of the research work done under the Visvesvaraya Ph.D. Scheme, which is an initiation taken by the Ministry of Electronics and Information Technology (MEITY) and sponsored by the Government of India, with Grant Number MIT- 1100-CSE.

Funding

This study was funded by Ministry of Electronics and Information Technology, Government of India (Grant Number VISPHD-MEITY-2495).

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Indian Institute of Technology, Roorkee, 247667, India

    Rupender Singh, Meenakshi Rawat & Pyari Mohan Pradhan

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  1. Rupender Singh
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  2. Meenakshi Rawat
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  3. Pyari Mohan Pradhan
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Correspondence to Rupender Singh.

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Singh, R., Rawat, M. & Pradhan, P.M. Effective capacity of wireless networks over double shadowed Rician fading channels. Wireless Netw 26, 1347–1355 (2020). https://doi.org/10.1007/s11276-019-02193-2

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