Theoretical Derivation of Effective Channel Capacity Expression for Beaulieu-Xie Shadowed Fading Channels

Year 2022, Volume: 10 Issue: 4, 1037 - 1045, 30.12.2022

Mehmet Bilim , Yasin Kabalcı

https://doi.org/10.29109/gujsc.1154747

Abstract

This study presents the effective channel capacity (Ceff) analysis for a communication system in which the line between transmitter and receiver has a single path including Beaulieu-Xie shaded (BX-shadowed, BX-S) fading. In the study, the Ceff expression is theoretically derived, and the probability density function (PDF) of BX-S fading is used for the derivations. The accuracy of the Ceff expression is tried to be demonstrated with computer simulations, and various scenarios are examined with different parameter changes.

Keywords

Communication system, effective channel capacity, Beaulieu-Xie shadowed fading channel

Beaulieu-Xie Gölgelemeli Sönümlü Kanallar İçin Efektif Kanal Kapasite İfadesinin Kuramsal Türetimi

Abstract

Bu çalışma, alıcı-verici arasındaki hattın tek ve Beaulieu-Xie gölgelemeli (BX-shadowed, BX-S) sönümlenmeye sahip olduğu bir sistem için efektif kanal kapasitesi (effective channel capacity, Ceff) analizini sunmaktadır. Çalışmada Ceff ifadesi kuramsal olarak türetilmekte, türetimler için BX-S sönümlenmesine ait olasılık yoğunluk fonksiyonundan (probability density function, PDF) yararlanılmaktadır. Ceff ifadesinin doğruluğu bilgisayar benzetimleri ile gösterilmeye çalışılmakta, farklı parametre değişimleri ile çeşitli senaryolar incelenmektedir.

Keywords

Haberleşme sistemi, efektif kanal kapasitesi, Beaulieu-Xie gölgelemeli sönümlü kanal

References

• [1] Y. Kabalci, “5G mobile communication systems: Fundamentals, challenges, and key technologies,” in Smart Grids and Their Communication Systems, Springer, Singapore, 2019, pp. 329–359.
• [2] S. Ramavath, A. V. Jha, U. Chandra, B. Appasani, Y. Kabalci, and E. Kabalci, “PAPR Reduction of Filter Bank Techniques for 5G Communication Systems,” in 5G and Beyond Wireless Systems, Springer, Singapore, 2021, pp. 171–189.
• [3] Y. Kabalci, “5G iletişim sistemleri için aday iletim tekniklerinin bit hata oranı başarımlarının araştırılması,” Niğde Ömer Halisdemir Üniversitesi Mühendis. Bilim. Derg., vol. 9, no. 2, pp. 821–831, 2020.
• [4] N. C. Beaulieu and X. Jiandong, “A novel fading model for channels with multiple dominant specular components,” IEEE Wirel. Commun. Lett., vol. 4, no. 1, pp. 54–57, 2014.
• [5] M. Bilim, “A comprehensive analytical perspective of ASEP for Beaulieu-Xie fading channels,” Int. J. Commun. Syst., p. e5244, doi: https://doi.org/10.1002/dac.5244.
• [6] H. S. Silva, D. B. Almeida, W. J. Queiroz, I. E. Fonseca, A. S. Oliveira, and F. Madeiro, “Cascaded double Beaulieu-Xie fading channels,” IEEE Commun. Lett., vol. 24, no. 10, pp. 2133–2136, 2020.
• [7] J. Hu, Z. Zhang, J. Dang, L. Wu, and G. Zhu, “Performance of decode-and-forward Relaying in mixed Beaulieu-Xie and $$\backslash$mathcal ${$M$}$ $ dual-hop transmission systems with digital coherent detection,” IEEE Access, vol. 7, pp. 138757–138770, 2019.
• [8] A. Olutayo, H. Ma, J. Cheng, and J. F. Holzman, “Level crossing rate and average fade duration for the Beaulieu-Xie fading model,” IEEE Wirel. Commun. Lett., vol. 6, no. 3, pp. 326–329, 2017.
• [9] A. Olutayo, J. Cheng, and J. F. Holzman, “Performance bounds for diversity receptions over a new fading model with arbitrary branch correlation,” EURASIP J. Wirel. Commun. Netw., vol. 2020, no. 1, pp. 1–26, 2020.
• [10] A. Olutayo, J. Cheng, and J. F. Holzman, “A new statistical channel model for emerging wireless communication systems,” IEEE Open J. Commun. Soc., vol. 1, pp. 916–926, 2020.
• [11] I. Gradshtein and I. M. Ryzhik, Table of integrals, series, and products. Academic press, 2000.
• [12] M. Bilim, “Effective throughput of alternate rician shadowed fading links,” IEEJ Trans. Electr. Electron. Eng., vol. 15, no. 6, pp. 928–930, 2020.