Karma Weibull/Log-Normal Sönümlenmeli Kanalın Hata Olasılığı Analizi

Öz

Bu çalışmada, tek-girişli tek-çıkışlı (single-input single-output, SISO) sistemin karma Weibull/log-normal sönümlenmeli kanallardaki hata olasılığı incelenmiştir. Ele alınan SISO sisteminin daha gerçekçi bir kanal ortamında analizinin yapılması hedeflenmiştir. Bu yüzden, Weibull/log-normal sönümlenmeli kanalının kümülatif dağılım fonksiyonu (cumulative distribution function, CDF) kullanılarak hata olasılığı ifadesi kapalı formda elde edilmiştir. Önerilen bu ifade CDF tabanlı olup, farklı ikili sayısal modülasyon türleri için geçerlidir. Çalışmada sunulan bütün sonuçlar bilgisayar benzetimleri ile doğrulanmıştır.

Anahtar Kelimeler

• Weibull/log-normal,hata olasılığı

Kaynakça

1. Referans1 Fodor G., Rajatheva N., Zirwas W., Thiele L., Kurras M., Guo K., Tölli A., Sørensen J.H., de Carvalho E., “An overview of massive MIMO technology components in METIS”, IEEE Commun. Mag, Cilt 55, No 6, 155-161, 2017.
2. Referans2 Xu C., Hu Y., Liang C., Ma J., Ping L., “Massive MIMO, non-orthogonal multiple access and interleave division multiple access”, IEEE Access, Cilt 5, 14728-14748, 2017.
3. Referans3 Shafi M., Molisch A.F., Smith P.J., Haustein T., Zhu P., De Silva P., Tufvesson F., Benjebbour A., Wunder G., “5G: a tutorial overview of standards, trials, challenges, deployment, and practice”, IEEE J. Sel. Areas Commun., Cilt 35, No 6, 1201-1221, 2017.
4. Referans4 Lu L., Li G.Y., Swindlehurst A.L., Ashikhmin A., Zhang R., “An overview of massive MIMO: benefits and challenges,” IEEE J. Sel. Topics Signal Process., Cilt 8, No 5, 742-758, 2014.
5. Referans5 Nakagami, M. “The m-distribution, a general formula of intensity distribution of rapid fading”, Oxford: Pergamon, England, 1960.
6. Referans6 Singh R., Soni S.K., Raw R.S., Kumar S., “A new approximate closed-form distribution and performance analysis of a composite Weibull/Log-Normal fading channel”, Wireless Pers. Commun., Cilt 92, No 3, 883-890, 2017.
7. Referans7 Yacoub M.D., “The κ-μ distribution and the η-μ distribution”, IEEE Antennas Propag. Mag., Cilt 49, No 1, 68–81, 2007.
8. Referans8 Paris J.F., “Statistical characterization of κ-μ shadowed fading”, IEEE Trans. Veh. Technol., Cilt 63, No 2, 518–526, 2014.

9. Referans9 Yacoub M.D., “The α−μ distribution: A physical fading model for the Stacy distribution”, IEEE Trans. Veh. Technol., Cilt 56, No 1, 27–34, 2007.
10. Referans10 Peña-Martín J.P., Romero-Jerez J.M., Tellez-Labao C., “Performance of selection combining diversity in η−μ fading channels with integer values of μ”, IEEE Trans. Veh. Technol., Cilt 64, No 2, 834–839, 2015.
11. Referans11 Villavicencio M.A.G., de Souza R.A.A., de Souza G.C., Yacoub M.D., “A bivariate κ-μ distribution”, IEEE Trans. Veh. Technol., Cilt 65, No 7, 5737–5743, 2016.
12. Referans12 Yacoub M.D., “The α-η-κ-μ fading model”, IEEE Trans. Veh. Technol., Cilt 64, No 8, 3597–3610, 2016.
13. Referans13 Hashemi, H. “The indoor radio propagation channel”, Proceedings of IEEE, Cilt 81, No 7, 943–968, 1993.
14. Referans14 Tzeremes G., Christodoulou C.G., “Use of Weibull distribution for describing outdoor multipath fading”, IEEE Antennas and Propagation Society International Symposium, San Antonio, Texas, USA, 232-235, 16-21 Haziran 2002.
15. Referans15 Babich F., Lombardi G., “Statistical analysis and characterization of the indoor propagation channel”, IEEE Trans. Commun., Cilt 48, No 3, 455-464, 2000.
16. Referans16 Bilim M., Kapucu N. Develi I., “Dual-hop N-relay assisted transmission for IDMA systems over weibull fading channels”, Elektronika Ir Elektroniteknika, Cilt 21, No 4, 69-72, 2015.
17. Referans17 Bilim M., Kapucu N. Develi I., “Cooperative IDMA systems with regenerative relays over Weibull fading channels: outage probability and error analysis”, IET Commun., Cilt 11, No 7, 993-999, 2017.
18. Referans18 Kabalcı Y., “DD-KBÇE iletişim sistemlerinin farklı yayma kodları için Weibull sönümlü kanaldaki bit hata oranı başarım analizleri”, GU J Sci Part C, Cilt 4, No 2, 31-39, 2016.
19. Referans19 Adawi N., Bertoni H.L., Child J.R., “Coverage prediction for mobile radio systems operating in the 800/900 MHz frequency range”, IEEE Trans. Veh. Technol., Cilt 37, No 1, 3-72, 1988.
20. Referans20 Mitic, M.A., Jakovljevic, M.M., “Second-order statistics in Weibull-lognormal fading channels”, In: Proceedings of International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Services, Serbia, 529-532, 26-28 Eylül 2007.
21. Referans21 Sharma N., Bansal A., Garg P., “Decode-and-forward relaying in mixed η−μ and gamma–gamma dual hop transmission system”, IET Commun., Cilt 10, No 14, 1769-1776, 2016.
22. Referans22 Gradshteyn, I. S., Rzyhik, I. M., “Table of integrals, series and products”, Academic Press, London, UK, 2007. Referans23 Prudnikov, A. P., Brychkov,Y. A., Marichev,O. I.. “Integrals and series (Vol. 1)”, London: Gordon, UK, 1986.
23. Referans24 Nadarajah S., Kotz S., “On the Weibull MGF”, IEEE Trans. Commun., Cilt 55, No 7, 1287, 2007.