Abstract
In wireless communication systems, the received signal is superimposed by the contemporaneous effects of both shadowing and multipath fading. The conventional composite models fail to capture the outliers in the fading channels. In this context, we portray the significance of the Tsallis’ non-extensive parameter ‘q’ in modeling various fading environments. This paper exploits the well-known q-Weibull probability density function (pdf) in characterizing the composite fading channels. The q-Weibull pdf yields a tight agreement over the generated fading signals. Furthermore, the different performance metrics, viz. amount of fading, average channel capacity, and outage probability, are obtained in closed form. The derived results are validated using rigorous Monte Carlo simulation procedure.
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References
Simon MK, Alouini MS (2005) Digital communication over fading channels, vol 95. Wiley, Hoboken
Shankar PM (2017) Fading and shadowing in wireless systems. Springer, Berlin
Rappaport TS (1996) Wireless communications: principles and practice, vol 2. Prentice Hall PTR, New Jersey
Singh R, Soni SK, Raw RS, Kumar S (2017) A new approximate closed-form distribution and performance analysis of a composite Weibull/log-normal fading channel. Wireless Personal Commun 92(3):883–900
Chauhan PS, Tiwari D, Soni SK (2017) New analytical expressions for the performance metrics of wireless communication system over Weibull/Lognormal composite fading. AEU-Int J Electron Commun 82:397–405
Hansen F, Meno FI (1977) Mobile fading rayleigh and lognormal superimposed. IEEE Trans Veh Technol 26(4):332–335
Ismail MH, Matalgah MM (2005) Outage probability in multiple access systems with Weibull-Faded lognormal-shadowed communication links. In: 2005 IEEE 62nd vehicular technology conference, 2005. VTC-2005-Fall, vol 4. IEEE, New York, pp 2129–2133
Hashemi H (1993) The indoor radio propagation channel. Proc IEEE 81(7):943–968
Sagias NC, Karagiannidis GK (2005) Gaussian class multivariate Weibull distributions: theory and applications in fading channels. IEEE Trans Inf Theory 51(10):3608–3619
Senapati D (2016) Generation of cubic power-law for high frequency intra-day returns: maximum Tsallis entropy framework. Digit Signal Proc 48:276–284
Tsallis C, Mechanics NES (2004) Construction and physical interpretation. Nonextensive Entropy Interdiscip Appl, pp 1–52
Jose K, Naik SR, Ristić MM (2010) Marshall-Olkin \(q\)-Weibull distribution and max-min processes. Stat Pap 51(4):837–851
Mukherjee T, Singh AK, Senapati D (2019) Performance evaluation of wireless communication systems over Weibull/\(q\)-lognormal shadowed fading using Tsallis entropy framework. Wireless Personal Commun, pp 1–15
Shannon CE (2001) A mathematical theory of communication. ACM SIGMOBILE Mob Comput Commun Rev 5(1):3–55
Adamchik VS, Marichev OI (1990, July) The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system. In: Proceedings of the international symposium on Symbolic and algebraic computation. ACM, New York, pp 212–224
Mathai AM, Haubold HJ (2008) Special functions for applied scientists, vol 4. Springer, New York
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Mukherjee, T., Pati, B., Senapati, D. (2021). Performance Evaluation of Composite Fading Channels Using q-Weibull Distribution. In: Panigrahi, C.R., Pati, B., Mohapatra, P., Buyya, R., Li, KC. (eds) Progress in Advanced Computing and Intelligent Engineering. Advances in Intelligent Systems and Computing, vol 1198. Springer, Singapore. https://doi.org/10.1007/978-981-15-6584-7_31
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DOI: https://doi.org/10.1007/978-981-15-6584-7_31
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