A novel and unified approach for averaged channel capacity and averaged effective capacity analyses of diversity combining and multihop transmission schemes in flat fading environments

In this paper, we introduce an Lp -norm aggregation to present a signal-to-noise ratio expression unified notonly for such diversity combining schemes as equal-gain combining, maximal-ratio combining, and selection combining,but also for such transmission techniques as multihop transmission. Accordingly, we propose two moment-generatingfunction-based approaches that both respectively unify the exact analyses of the averaged channel capacity and averagedeffective capacity over generalized fading channels with respect to the diversity combining and multihop transmissionschemes. Finally, the mathematical formalism is illustrated by numerical special cases and verified by simulations.

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[1] Simon MK, Alouini MS. Digital Communication over Fading Channels. New York, NY, USA: John Wiley & Sons, 2005.
[2] Simon MK, Alouini MS. A unified approach to the performance analysis of digital communication over generalized fading channels. P IEEE 1998; 86: 1860-1877.
[3] Alouini MS, Goldsmith AJ. A unified approach for calculating error rates of linearly modulated signals over fading channels. IEEE T Commun 1999; 47: 1324-1334.
[4] Goldsmith AJ, Varaiya PP. Capacity of fading channels with channel side information. IEEE T Inform Theory 1997; 43: 1986-1992.
[5] Alouini MS, Goldsmith AJ. Capacity of Rayleigh fading channels under different adaptive transmission and diversitycombining techniques. IEEE T Veh Technol 1999; 48: 1165-1181.
[6] Sagias NC, Tombras GS, Karagiannidis GK. New results for the Shannon channel capacity in generalized fading channels. IEEE Commun Lett 2005; 9: 97-99.
[7] Khatalin S, Fonseka JP. On the channel capacity in Rician and Hoyt fading environments with MRC diversity. IEEE T Veh Technol 2006; 55: 137-141.
[8] Khatalin S, Fonseka JP. Capacity of correlated Nakagami-m fading channels with diversity combining techniques. IEEE T Veh Technol 2006; 55: 142-150.
[9] Hamdi KA. A useful lemma for capacity analysis of fading interference channels. IEEE T Commun 2010; 58: 411-416.
[10] Di Renzo M, Graziosi F, Santucci F. Channel capacity over generalized fading channels: a novel MGF-based approach for performance analysis and design of wireless communication systems. IEEE T Veh Technol 2010; 59: 127-149.
[11] Yilmaz F, Alouini MS. A unified MGF-based capacity analysis of diversity combiners over generalized fading channels. IEEE T Commun 2012; 60: 862-875.
[12] Wu D, Negi R. Effective capacity: a wireless link model for support of quality of service. IEEE T Wirel Commun 2003; 2: 630-643.
[13] Matthaiou M, Alexandropoulos G, Ngo H, Larsson E. Analytic framework for the effective rate of MISO fading channels. IEEE T Commun 2012; 60: 1741-1751.
[14] Zhang J, Tan Z, Wang H, Huang Q, Hanzo L. The effective throughput of MISO systems over κ-µ fading channels. IEEE T Veh Technol 2014; 63: 943-947.
[15] Zhang J, Matthaiou M, Tan Z, and Wang H. Effective rate analysis of MISO η − µ fading channels. In: IEEE International Conference on Communications; 9–13 June 2013; Budapest, Hungary. New York, NY, USA: IEEE. pp. 5840-5844.
[16] Zhong C, Ratnarajah T, Wong K-K, Alouini MS. Effective capacity of multiple antenna channels: Correlation and keyhole. IET Commun 2012; 6: 1757-1768.
[17] Guo X-B, Dong L, Yang H. Performance analysis for effective rate of correlated MISO fading channels. Electron Lett 2012; 48: 1564-1565.
[18] You M, Sun H, Jiang J, Zhang J. Effective rate analysis in Weibull fading channels. IEEE Wirel Commun Le 2016; 5: 340-343.
[19] Li X, Li J, Li L, Jin J, Zhang J, Zhang D. Effective rate of MISO systems over κ-µ shadowed fading channels. IEEE Access 2017; 5: 10605-10611.
[20] Ji Z, Wang Y, Lu J. MGF-based effective capacity for generalized fading channels. Appl Mech Mater 2014; 519: 927-931.
[21] Ji Z, Dong C, Wang Y, Lu J. On the analysis of effective capacity over generalized fading channels. In: IEEE International Conference on Communications; 10–14 June 2014; Sydney, Australia. New York, NY, USA: IEEE. pp. 1-8.
[22] You M, Sun H, Jiang J, Zhang J. Unified framework for the effective rate analysis of wireless communication systems over MISO fading channels. IEEE T Commun 2017; 65: 1775-1785.
[23] Yilmaz F, Alouini MS. A new simple model for composite fading channels: Second order statistics and channel capacity. In: IEEE International Symposium on Wireless Communication Systems; 19–22 September 2010; York, UK. New York, NY, USA: IEEE. pp. 676-680.
[24] Gradshteyn IS, Ryzhik IM. Table of Integrals, Series, and Products. 7th ed. San Diego, CA, USA: Academic Press, 2014.
[25] Yilmaz F, Alouini MS. Product of the powers of generalized Nakagami-m variates and performance of cascaded fading channels. In: IEEE Global Telecommunications Conference; 30 November–4 December 2009; Honolulu, HI, USA. New York, NY, USA: IEEE. pp. 1-8
[26] Sagias NC, Karagiannidis GK, Mathiopoulos PT, Tsiftsis TA. On the performance analysis of equal-gain diversity receivers over generalized Gamma fading channels. IEEE T Wirel Commun 2006; 5: 2967-2975.
[27] Karagiannidis GK. Performance bounds of multihop wireless communications with blind relays over fading channels. IEEE T Wirel Commun 2006; 5: 498-503.
[28] Abdul-Latif OM, Dubois JP. LS-SVM detector for RMSGC diversity in SIMO channels. In: IEEE International Symposium on Signal Processing and Its Application; 12–15 February 2007; Sharjah, United Arab Emirates. New York, NY, USA: IEEE. pp. 1-4.
[29] Prudnikov AP, Brychkov YA, Marichev OI. Integral and Series: Volume 3, More Special Functions. Boca Raton, FL, USA: CRC Press, 1990.
[30] Kilbas A, Saigo M. H-Transforms: Theory and Applications. Boca Raton, FL, USA: CRC Press, 2004.
[31] Mathai AM, Saxena RK, Haubold HJ. The H-Function: Theory and Applications. Berlin, Germany: Springer Science & Business Media, 2009.
[32] Abramowitz M, Stegun IA. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York, NY, USA: Dover, 1972.
[33] Yilmaz F, Alouini MS. An MGF-based capacity analysis of equal gain combining over fading channels. In: IEEE International Symposium on Personal Indoor and Mobile Communications; 26–29 September 2010; İstanbul, Turkey. New York, NY, USA: IEEE. pp. 945-950.
[34] Wolfram Research. Mathematica Edition: Version 8. Champaign, IL, USA: Wolfram Research, 2010.
[35] Yilmaz F, Kucur O, Alouini MS. Exact capacity analysis of multihop transmission over amplify-and-forward relay fading channels. In: IEEE International Symposium on Personal Indoor and Mobile Communications; 29 September 2010; İstanbul, Turkey. New York, NY, USA: IEEE. pp. 2293-2298.
[36] Peppas P, Mathiopoulos PT, Yang J. On the effective capacity of amplify-and-forward multihop transmission over arbitrary and correlated fading channels. IEEE Wirel Commun Le 2016; 5: 248-251.