Abstract
Beaulieu-Xie (BX) fading model is adequate for Femtocell and high-speed railway applications. In this paper, the performance evaluation of dual branch switch and stay combining diversity system operating over independent identically distributed BX fading channels are presented. In this context, the expressions of statistical parameters such as probability density function, cumulative distribution function and moment generating function are derived. After that, the expressions for moments, average output signal to noise ratio, outage probability, and average bit error rate for basic binary modulation schemes are derived. The expressions of channel capacity under different power and rate adaptive methods are also derived. Further, the optimal switching threshold values are calculated for different performance parameters. Moreover, the analytical results and existing results available in previous literature are compared. The Monte Carlo simulation results are carried out to verify derived expressions.
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References
Kumar, S. (2015). Wireless communication: The fundamental and advanced concepts. River Publishers.
Simon, M. K., & Alouini, M. S. (2005). Digital communication over fading channels (2nd ed.). John Wiley & Sons.
Zhao, J., Fan, P., Beaulieu, N.C., & Lei, X. (2018). Switching rates of selection diversity and switch-and-stay diversity on mixed high-speed train channels. In Proceeding IEEE workshop on high mobility wireless communications (HMWC), pp. 51–55, Xian, China.
He, R., Zhong, Z., Ai, B., Ding, J., Yang, Y., & Molisch, A. F. (2013). Short-term fading behavior in high-speed railway cutting scenario: Measurements, analysis, and statistical models. IEEE Transactions on Antennas and Propagation, 61(4), 2209–2222.
Guan, K., Zhong, Z., Ai, B., & Kurner, T. (2014). Propagation measurements and modeling of crossing bridges on high-speed railway at 930 MHz. IEEE Transactions on Vehicular Technology, 63(2), 502–517.
He, R., Zhong, Z., Ai, B., Wang, G., Ding, J., & Molisch, A. F. (2013). Measurements and analysis of propagation channels in high-speed railway viaducts. IEEE Transactions Wireless Communications, 12(2), 794–805.
Beaulieu, N. C., & Jiandong, X. (2015). A novel fading model for channels with multiple dominant specular components. IEEE Wireless Communication Letters, 4(1), 54–57.
Abu-Dayya, A. A., & Beaulieu, N. C. (1994). Analysis of switched diversity systems on generalized-fading channels. IEEE Transactions on Communications, 42(11), 2959–2966.
Abu-Dayya, A. A., & Beaulieu, N. C. (1994). Switched diversity on microcellular Ricean channels. IEEE Transactions on Vehicular Technology, 43(4), 970–976.
Ko, Y. C., Alouini, M. S., & Simon, M. K. (2000). Analysis and optimization of switched diversity systems. IEEE Transactions on Vehicular Technology, 49(5), 1813–1831.
Sagias, N. C., Zogas, D. A., Karagiannidis, G. K., & Tombras, G. S. (2003). Performance analysis of switched diversity receivers in Weibull fading. Electronics Letters, 39(20), 1472–1474.
Sasan, H., & Beaulieu, N. C. (2005). Postdetection switch-and-stay diversity in Rician fading. In Proceeding IEEE wireless communications and networking conference (WCNC), vol. 2, pp. 872–876, New Orleans, LA, USA.
Sagias, N. C., & Mathiopoulos, T. (2005). Switched diversity receivers over generalized gamma fading channels. IEEE Communication Letters, 9(10), 871–873.
Khatalin, S., & Fonseka, J. P. (2006). Capacity of correlated Nakagami-m fading channels with diversity combining techniques. IEEE Transactions on Vehicular Technology, 55(1), 142–150.
Bithas, P. S., Mathiopoulos, P. T., & Kotsopoulos, S. A. (2007). Diversity reception over generalized-K fading channels. IEEE Transactions on Wireless Communication, 6(12), 4238–4243.
Khatalin, S., & Fonseka, J. P. (2007). Channel capacity of dual-branch diversity systems over correlated Nakagami-m fading with channel inversion and fixed rate transmission scheme. IET Communications, 1(6), 1161–1169.
Bandjur, D. V., Stefanovic, M. C., & Bandjur, M. V. (2008). Performance analysis of SSC diversity receiver over correlated Ricean fading channels in presence of co-channel interference. Electronics Letters, 44(9), 587–587.
Khatalin, S. (2015). Performance analysis of switch and stay combining diversity system over κ-µ fading channels. AEU-International Journal of Electronics and Communication, 69, 475–486.
Khatalin, S. (2015). On the channel capacity of SSC diversity in η-μ and κ-µ fading environments. AEU-International Journal of Electronics and Communication, 69, 1683–1699.
Khatalin, S. (2016). On the performance analysis of SSC diversity system over η–μ fading channels. International Journal of Electronics, 103(6), 960–974.
Kansal, V., & Singh, S. (2017). Analysis of effective capacity over Beaulieu-Xie fading model. In Proceedings IEEE international women in engineering conference on electrical & computer engineering, pp. 207–210, Dehradun, India.
Olutayo, A., Ma, H., Cheng, J., & Holzman, J. F. (2017). Level crossing rate and average fade duration for the Beaulieu-Xie fading model. IEEE Wireless Communication Letters, 6(3), 326–329.
Olutayo, A., Cheng, J., & Holzman, J. F. (2017). Asymptotically tight performance bounds for selection diversity over Beaulieu-Xie fading channels with arbitrary correlation. In Proceedings IEEE international conference on communications (ICC), pp. 1–6, Paris, France.
Olutayo, A., Cheng, J., & Holzman, J. F. (2017). Asymptotically tight performance bounds for equal-gain combining over a new correlated fading channel. In Proceeding IEEE Canadian workshop on information theory (CWIT), pp. 1–5, Quebec City, Canada.
Kansal, V., & Singh, S. (2018). Analysis of average symbol error probability of MDPSK MFSK and MPSK in the Beaulieu-Xie Fading. In Proceeding IEEE international conference on wireless networks & embedded systems (WECON), pp. 11–14, Rajpura, India.
Kaur, M., & Yadav, R. K. (2020). Performance analysis of Beaulieu-Xie fading channel with MRC diversity reception. Transactions on Emerging Telecommunication Technologies, 31(7), e3949.
Kansal, V., & Singh, S. (2021). Capacity analysis of maximal ratio combining over Beaulieu-Xie fading. Annals of Telecommunications, 76, 43–50.
Olutayo, A., Cheng, J., & Holzman, J. F. (2020). Performance bounds for diversity receptions over a new fading model with arbitrary branch correlation. EURASIP Journal on Wireless Communications and Networking, 2020(1), 1–26.
Silva, H. S., Almeida, D. B., Queiroz, W. J., Fonseca, I. E., Oliveira, A. S., & Madeiro, F. (2020). Cascaded double Beaulieu-Xie fading channels. IEEE Communications Letters, 24(10), 2133–2136.
Chauhan, P. S., Kumar, S., & Soni, S. K. (2020). On the physical layer security over Beaulieu-Xie fading channel. AEU-International Journal of Electronics and Communications, 113, 152040.
Devi, L. M., & Singh, A. D. (2021). Performance analysis of L-MRC receiver with estimation error over Beaulieu-Xie fading channels. AEU-International Journal of Electronics and Communications, 135, 153730.
Silva, H. S., Almeida, D. B., Queiroz, W. J., Fonseca, I. E., Oliveira, A. S., & Madeiro, F. (2021). On the BEP analysis of M-QAM in a frequency non-selective Beaulieu-Xie fading channels. In Proceeding IEEE European conference on antennas and propagation (EuCAP), pp. 1–5, Dusseldorf, Germany.
Kansal, V., & Singh, S. (2021). Effective rate analysis of MISO over Beaulieu-Xie fading channel. AEU-International Journal of Electronics and Communications, 138, 153886.
Kansal, V., & Singh, S. (2021). Error performance of generalized M-ary QAM over the Beaulieu-Xie fading. Telecommunication Systems, 78, 163–168.
Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of integrals, series, and products (7th ed.). Academic Press.
Prudnikov, A. P., Brychkov, Y. A., & Mariche, O. I. (1986). Integrals and series: special functions (Vol. 2). Gordon and Breach Science Publishers.
Geller, M., & Ng, E. W. (1969). A table of integrals of the error functions. Journal of Research of the National Bureau of Standards B, 73, 1–20.
Brychkov, Y. A., Marichev, O. I., & Prudnikov, A. P. (1986). Integrals and series: more special functions (Vol. 3). Gordon and Breach Science Publishers.
Prudnikov, A. P., Brychkov, Y. A., & Mariche, O. I. (1986). Integrals and series: elementary functions (Vol. 1). Gordon and Breach Science Publishers.
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Shankar, H., Kansal, A. Performance Analysis of Switch and Stay Combining Diversity for Beaulieu-Xie Fading Model. Wireless Pers Commun 126, 531–553 (2022). https://doi.org/10.1007/s11277-022-09757-0
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DOI: https://doi.org/10.1007/s11277-022-09757-0