ON THE SECOND ORDER STATISTICS OF THE RATIO OF TWO FISHER-SNEDECOR RANDOM VARIABLES AND ITS APPLICATION TO INTERFERENCE LIMITED COMMUNICATIONS

  • Časlav Stefanović Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Kosovska Mitrovica, Serbia
  • Danijel Đošić Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Kosovska Mitrovica, Serbia
  • Stefan Panić Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Kosovska Mitrovica, Serbia
Keywords: 5G, Fisher-Snedecor F (FS-F) distribution, Second order statistics

Abstract


The paper investigates the higher order statistics of the ratio of two Fisher-Snedecor F (FS-F) random variables (RVs) and its application to wireless communications in the presence of co-channel interference. Namely, the work provides novel expressions for probability density function (PDF), cumulative density function (CDF), level crossing rate (LCR) and average fade duration (AFD) of the ratio of two FS-F RVs. Numerical examples of the analytically derived statistical measures in terms of FS-F multi-path and shadowing parameters are shown and examined. Moreover, the impact of the number of interferes on the considered measures are further presented and examined.

References

Al-Hmood, H. & Al-Raweshidy, H. S. 2020. Selection combining scheme over non-identically distributed Fisher-Snedecor F fading channels, IEEE Wireless Communications Letters, 10(4), pp. 840-843. DOI: 10.1109/LWC.2020.3046519

Alshawaqfeh, M. K., Badarneh, O. S., & Almehmadi, F. S. 2022. Performance analysis of digital transmission in interferencelimited networks, Telecommunication Systems, 79(2), pp. 233-247.

Badarneh, O. S., Da Costa, D. B., Sofotasios, P. C., Muhaidat, S., & Cotton, S. L. 2018a. On the Sum of Fisher–Snedecor {F} Variates and Its Application to Maximal-Ratio Combining, IEEE Wireless Communications Letters, 7(6), pp. 966-969. DOI: 10.1109/LWC.2018.2836453

Badarneh, O. S., Muhaidat, S., Sofotasios, P. C., et al. 2018b. On the Secrecy Capacity of Fisher - Snedecor $F$ Fading Channels, 14th International conference on wireless and mobile computing, networking and communications (WiMob), IEEE, pp. 1-7.

Badarneh, O. S., Sofotasios, P. C., Muhaidat, S., Cotton, S. L., & Da Costa, D. B. 2020. Product and ratio of product of Fisher-Snedecor variates and their applications to performance evaluations of wireless communication systems, IEEE Access, 8, pp. 215267-215286. DOI: 10.1109/ACCESS.2020.3039680

Cheng, W., Wang, X., Ma, T., & Wang, G. 2021. On the performance analysis of switched diversity combining receivers over Fisher–Snedecor composite fading channels, sensors, 21(9), pp. 3014. https://doi.org/10.3390/s21093014

Du, H., Zhang, J., Peppas, K. P., et al. 2019. On the Distribution of the Ratio of Products of Fisher-Snedecor {F} Random Variables and Its Applications, IEEE Transactions on Vehicular Technology, 69(2), pp. 1855-1866. DOI: 10.1109/TVT.2019.2961427

Gradshteyn, I. S. & Ryzhik, I. M. 2014. Table of integrals, series, and products (Academic press)

Hadzi-Velkov, Z. 2006. Level crossing rate and average fade duration of selection diversity with Rician-faded cochannel interferers, IEEE communications letters, 10(9), pp. 649-651. DOI: 10.1109/LCOMM.2006.1714533

Hadzi-Velkov, Z. 2007a. Level crossing rate and average fade duration of dual selection combining with cochannel interference and Nakagami fading, IEEE transactions on wireless communications, 6(11), pp. 3870-3876. DOI: 10.1109/TWC.2007.060206

Hadzi-Velkov, Z. 2007b. Second-Order Statistics of Selection Combining Systems with Cochannel Interference in Various Fading Channels, Proc. IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications 2007 (PIMRC 2007), Athens, Greece.

Kong, L. & Kaddoum, G. 2018. On physical layer security over the Fisher-snedecor {F} wiretap fading channels, IEEE Access, 6, pp. 39466-39472.

Makarfi, A. U., Rabie, K. M., Kaiwartya, O., et al. 2020. Physical layer security in vehicular networks with reconfigurable intelligent surfaces. In 2020 IEEE 91st Vehicular Technology Conference (VTC2020-Spring), pp. 1–6. IEEE (2020), https://doi.org/10.1109/VTC2020-Spring48590.2020.9128438

Milosevic, N., Stefanovic, C., Nikolic, Z., Bandjur, M., & Stefanovic, M. 2018a. First-and second-order statistics of

interference-limited mobile-to-mobile Weibull fading channel, Journal of Circuits, Systems and Computers, 27(11), 1850168. https://doi.org/10.1142/S0218126618501682

Milosevic, N., Stefanovic, M., Nikolic, Z., Spalevic, P., & Stefanovic, C. 2018b. Performance analysis of interference-limited mobile-to-mobile κ–μ fading channel, Wireless Personal Communications, 101, pp. 1685-1701.

Đošić, D., Milić, D., Kontrec, N., et al. 2022. Analytical performance analysis of the M2M wireless link with an antenna selection system over interference limited dissimilar composite fading environments, International Journal of Applied Mathematics and Computer Science, 32(4), pp. 569-582. https://doi.org/10.34768/amcs-2022-0040

Stefanovic, C., Djosic, D., Stefanovic, D., Milosevic, H., & Panic, S. R. 2022a. On the Second Order Statistics of Cooperative UAV Communications underlying Interference Limited Composite Fading Conditions, 18th International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob), IEEE, pp. 400-405.

Stefanovic, C., Morales-Cespedes, M., & Armada, A. G. 2021a. Performance analysis of RIS-assisted FSO communications over Fisher–Snedecor F turbulence channels, Applied Sciences, 11(21), 10149. https://doi.org/10.3390/app112110149

Stefanovic, C., Morales-Cespedes, M., Roka, R., & Armada, A. G. 2021b. Performance analysis of N-Fisher-Snedecor F fading and its application to N-hop FSO communications. In Proceedings of the 17th IEEE International Symposium on Wireless Communication Systems (ISWCS), Berlin, Germany.

Stefanović, Č ., Panić, S., Djosić, D., Milić, D., & Stefanović, M. 2021. On the second order statistics of N-hop FSO communications over N-gamma-gamma turbulence induced fading channels, Physical Communication, 45, 101289, https://doi.org/10.1016/j.phycom.2021.101289

Stefanovic, C., Veljkovic, S., Stefanovic, M., Panic, S., & Jovkovic, S. 2018. Second Order Statistics of SIR based Macro Diversity System for V2I Communications overComposite Fading Channels, First International Conference on Secure Cyber Computing and Communication (ICSCCC), IEEE, pp. 569-573.

Stefanovic, C. M., Armada, A. G., & Costa-Perez, X. 2022b. Second Order Statistics of-Fisher-Snedecor Distribution and Their Application to Burst Error Rate Analysis of Multi-Hop Communications, IEEE Open Journal of the Communications Society, 3, pp. 2407-2424. DOI: 10.1109/OJCOMS.2022.3224835

Stefanović, M., Panić, S. R., Stefanović, D., Nikolić, B., & Cvetković, A. 2012, Second order statistics of selection combining receiver over κ-μ fading channels subject to co-channel interferences, Radio Science, 47(06), pp. 1-8.

Suljović, S., Milić, D., Panić, S., Stefanović, Č., & Stefanović, M. 2020. Level crossing rate of macro diversity reception in composite Nakagami-m and Gamma fading environment with interference, Digital Signal Processing, 102, 102758.

Yao, Z., Cheng, W., Zhang, W., & Zhang, H. 2021. Resource allocation for 5G-UAV-based emergency wireless communications, IEEE Journal on Selected Areas in Communications, 39(11), pp. 3395-3410. DOI:10.1109/jsac.2021.3088684

Yoo, S. K., Cotton, S. L., Sofotasios, P. C., et al. 2017. The Fisher– Snedecor {F} Distribution: A Simple and Accurate Composite Fading Model, IEEE Communications Letters, 21(7), pp. 1661-1664. DOI: 10.1109/LCOMM.2017.2687438

Yoo, S. K., Cotton, S. L., Sofotasios, P. C., Muhaidat, S., & Karagiannidis, G. K. 2019. Level Crossing Rate and Average Fade Duration in {F} Composite Fading Channels, IEEE Wireless Communications Letters, 9(3), pp. 281-284. DOI: 10.1109/LWC.2019.2952343

Zhang, P., Du, H., Cao, Y., & Zhang, J. 2019. Wireless Powered UAV Relay Communications over the Fisher-Snedecoer ƒ Fading Channels, IEEE 90th Vehicular Technology Conference (VTC2019-Fall), IEEE, pp. 1-5.

Zhang, P., Zhang, J., Peppas, K. P., Ng, D. W. K., & Ai, B. 2020. Dual-hop relaying communications over Fisher-Snedecor F-fading channels, IEEE Transactions on Communications, 68(5), pp. 2695-2710.

Published
2023/12/28
Section
Original Scientific Paper