Abstract
The probability density function (PDF) of the output SNR (Signal to Noise Ratio) at a receiver operating under Weibull fading multipath channel is unknown in closed form and exists only as a complicated multiple integrals or approximated by a series of functions, or recently, by a single function whose evaluation time is not negligible. Our main result is a new simple approximate closed-form of the SNR PDF at the output of three types of receivers over Weibull multipath fading channels. The advantage of this new expression is that its evaluation time is less compared to all previous results. Based on this expression, approximate analytical expressions of the outage probability (OP), the average bit error rate (BER) for several M-ary modulation techniques, and the average channel capacity (CC) are derived in terms of only one particular hypergeometric function, known as Fox-H function. Numerical results have been validated by simulation and compared with recent results.
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References
Cheng, J., Tellambura, C., Beaulieu, N.C.: Performance Analysis of Digital Modulations on Weibull Fading channels. IEEE Transactions on Wireless Communications 3(4), 1124–1133 (2004)
Hai, N.T., Yakubovich, S.B.: The Double Mellin-Barnes Type Integrals and their Applications to Convolution Theory. World Scientific, Singapore (1992)
Karagiannidis, G.K., Zogas, D.A., Sagias, N.C., Kotsopoulos, S.A., Tombras, G.S.: Equal-Gain and Maximal-Ratio Combining Over Nonidentical Weibull Fading Channels. IEEE Trans. Comm. 4(3), 841–846 (2005)
Zogas, D.A., Sagias, N.C., Tombras, G.S., Karagiannidis, G.K.: Average output SNR of equal-gain diversity receivers over correlative Weibull fading channels. European Transactions on Telecommunications 16, 521–525 (2005)
Sagias, N.C., Karagiannidis, G.K., Bithas, P.S., Mathiopoulos, P.T.: On the Correlated Weibull Fading Model and Its Applications, pp. 2149–2153. IEEE (2005)
Papadimitiou, Z.G., Bithas, P.S., Mathiopoulos, P.T., Sagias, N.C., Merakos, L.: Triple-branch MRC diversity in Weibull fading channels. In: Signal Design and Its Appl. in Commun., IWSDA 2007, Chengdu, pp. 247–251, September 23–27, 2007
El Bouanani, F., Ben-Azza, H., Belkasmi, M.: New Results for the Shannon channel capacity over generalized multipath fading channels for MRC diversity. EURASIP Journal on Wireless Communications and Networking 2012, 336 (2012)
El Bouanani, F., Ben-Azza, H.: Unified analysis of EGC diversity over Weibull fading channels. Wiley Internat. Journal of Commun. Systems (IJCS), December 2014
El Bouanani, F.: A new closed-form approximations for MRC receiver over non-identical Weibull fading channels. In: Internat. Wireless Commun. & Mobile Computing Conference, IWCMC, Nicosia, Cyprus, pp. 600–605, August 4–8, 2014
El Bouanani, F., Ben-Azza, H., Belkasmi, M.: Novel results for the spectral efficiency and symbol error rate of GSC receiver over identical and uncorrelated Weibull fading channels. In: World Congress on Computer Applications and Information Systems, WCCAIS, Hammamet, Tunisia, January 17–19, 2014, pp. 1–5 (2014)
Wolfram Research, Inc. Mathematica, Edition: Version 10.0, Champaign, Illinois, Wolfram Research, Inc. (2014)
Mathai, A.M., Haubold, H.J., Saxena, R.K.: The H-function: Theory and Applications. Springer, New York (2010)
Simon, M.K., Alouini, M.S.: Digital Communication over Fading Channels. John Wiley & Sons, Hoboken (2005)
Ansari, I.S., Al-Ahmadi, S., Yilmaz, F., Alouini, M.-S., Yanikomeroglu, H.: 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 (2011)
Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions with formula, graphs, and mathematical tables. National Bureau of Standards, Applied Mathematical Series, vol. 55, June 1964
Kong, N., Milstein, L.B.: SNR of generalized diversity selection combining with nonidentical Rayleigh fading statistics. IEEE Tr. Com. 48, 1266–1271 (2000)
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© 2015 Institute for Computer Science, Social Informatics and Telecommunications Engineering
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El Bouanani, F., Ben-Azza, H. (2015). Efficient Performance Evaluation for EGC, MRC and SC Receivers over Weibull Multipath Fading Channel. In: Weichold, M., Hamdi, M., Shakir, M., Abdallah, M., Karagiannidis, G., Ismail, M. (eds) Cognitive Radio Oriented Wireless Networks. CrownCom 2015. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 156. Springer, Cham. https://doi.org/10.1007/978-3-319-24540-9_28
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DOI: https://doi.org/10.1007/978-3-319-24540-9_28
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