Abstract
A statistical analysis for the channel capacity (CC) for several diversity receivers under optimal rate adaptation with constant transmit power is provided. Independent but not necessarily identically distributed Nakagami-m fading channels are considered. Specifically, the moments of the CC at the output of selection combining, maximal-ratio combining, and switched and stay combining are obtained, assuming integer-order fading parameters, while for the Rayleigh model the moments of the CC at the output of equal-gain combining and generalized-selection combining are derived in closed form. Using these formulas, a new performance criterion, namely as fading figure (FF) as well as the variance, skewness, and kurtosis, are studied. Our findings show that the FF improves with an increase of the signal-to-noise ratio (SNR), the fading parameters, and/or the diversity order. Also, unlike to the variance of the error probability, the variance of the CC is a monotonic function of the average input SNR.
Similar content being viewed by others
References
Rappaport T. S. (1996) Wireless communications. Prentice Hall, USA
Ma Y., Pasupathy S. (2004) Efficient performance evaluation for generalized selection combining on generalized fading channels. IEEE Transactions on Wireless Communications 3(1): 29–34
Shannon C. E. (1949) Communication in the presence of noise. Proceedings of Institute of Radio Engineers 37(1): 10–21
Lee W. C. Y. (1990) Estimate of channel capacity in Rayleigh fading environment. IEEE Transactions on Vehicular Technology 39(3): 187–189
Lazarakis F., Tombras G. S., Dangakis K. (1994) Average channel capacity in a mobile radio enviroment with Rician statistics. IEICE Transactions on Communications E77-B(7): 971–977
Günther C. G. (1996) Comment on Estimate of channel capacity in Rayleigh fading environment. IEEE Transactions on Vehicular Technology 45(2): 401–403
Winters J. H. (1987) On the capacity of radio communications with diversity in a Rayleigh fading environment. IEEE Journal on Selected Areas on Communications SAC 5(5): 871–878
Goldsmith A. J., Varaiya P. P. (1997) Capacity of fading channels with channel side information. IEEE Transactions on Information Theory 43(6): 1986–1992
Alouini M.-S., Goldsmith A. (1999) Capacity of Rayleigh fading channels under different adaptive transmission and diversity-combining techniques. IEEE Transactions on Vehicular Technology 48(4): 1165–1181
Sagias N. C., Zogas D. A., Karagiannidis G. K., Tombras G. S. (2004) Channel capacity and second order statistics in Weibull fading. IEEE Communications Letters 8(6): 377–379
Mallik R. K., Win M. Z., Shao J. W., Alouini M.-S., Goldsmith A. J. (2004) Channel capacity of adaptive transmission with maximal ratio combining in correlated Rayleigh fading. IEEE Transactions on Wireless Communications 3(4): 1124–1133
Zhang Q. T., Liu D. P. (2002) A simple capacity formula for correlated diversity Rician fading channels. IEEE Communications Letters 6(11): 481–483
Sagias N. C., Karagiannidis G. K., Tombras G. S. (2005) New results for the Shannon channel capacity in generalized fading channels. IEEE Communications Letters 9(2): 97–99
Alouini, M.-S., & Goldsmith, A. (1997). Capacity of Nakagami multipath fading channels. In Proceedings of IEEE vehicular technology conference, Phoenix, AZ (pp. 358–362).
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
Zheng F., Kaiser T. (2006) On the channel capacity of multiantenna systems with Nakagami fading. EURASIP Journal on Applied Signal Processing 1: 1–11
Magableh, A. M., & Matalgah, M. M. (2007) Capacity of SIMO systems over non-identically independent Nakagami-m channels. In Proceedings of IEEE sarnoff symposium, number 4567395, Nassau Inn Princeton, NJ, 30 April–2 May.
Sagias N. C. (2006) Capacity of dual-branch selection diversity receivers in correlative Weibull fading. European Transactions on Telecommunications 17(1): 37–43
Karagiannidis G. K. (2004) Moments-based approach to the performance analysis of equal gain diversity in Nakagami-m fading. IEEE Transactions on Communications 52(5): 685–690
Karagiannidis G. K., Zogas D. A., Kotsopoulos S. A. (2004) Statistical properties of the EGC output SNR over correlated Nakagami-m fading channels. IEEE Transactions on Wireless Communications 3(5): 1764–1769
Chen Y., Tellambura C. (2005) Moment analysis of the equal gain combiner output in equally correlated fading channels. IEEE Transactions on Vehicular Technology 54(6): 1971–1979
Simon M. K., Alouini M.-S. (2004) Digital communication over fading channels (2nd ed.). Wiley, New York
Liu, X. (2006). Bit error variances of DPSK and NCFSK in Nakagami-m channels. In Proceedings of IEEE wireliless communications and networking conference (WCNC’06), Las Vegas, USA (Vol. 3, pp. 1497–1502).
Kwan R., Leung C. (2006) On approximating the distribution of symbol error rates in Nakagami-m fading channels. Electronics Letters 42(13): 766–767
Telatar I. E. (1999) Capacity of multi-antenna gaussian channels. European Transactions on Telecommunications 10(6): 585–596
Shin H., Win M. Z., Lee J. H., Chiani M. (2006) On the capacity of doubly correlated MIMO channels. IEEE Transactions on Wireless Communications 5(8): 2253–2265
Maaref A., Aïssa S. (2006) Mutual information statistics for dual MIMO systems in correlated Rayleigh fading. IEEE Communications Letters 10(8): 591–593
Kang M., Alouini M.-S. (2006) Capacity of correlated MIMO Rayleigh channels. IEEE Transactions on Wireless Communications 5(1): 143–155
Affes S., Laourine A., Stéphenne A. (2009) On the capacity of log-normal fading channels. IEEE Transactions on Communications 57(6): 1603–1607
Gradshteyn I. S., Ryzhik I. M. (2000) Table of integrals, series, and products (6th ed.). Academic, New York
Kong N., Milstein L. B. (1999) Average SNR of generalized diversity selection combining scheme. IEEE Communications Letters 3(5): 57–59
Karagiannidis G. K., Sagias N. C., Tsiftsis T. A. (2006) Closed-form statistics for the sum of squared Nakagami-m variates and its applications. IEEE Transactions on Communications 54(8): 1353–1359
Karagiannidis G. K. (2003) Performance analysis of SIR-based dual selection diversity over correlated Nakagami-m fading channels. IEEE Transactions on Vehicular Technology 52(5): 1207–1216
Abramovitz M., Stegun I. A. (1972) Handbook of mathematical functions with formulas, graphs, and mathematical tables (9th ed.). Dover, New York
Sagias N. C., Zogas D. A., Karagiannidis G. K., Tombras G. S. (2003) Performance analysis of switched diversity in Weibull fading. Electronics Letters 39(20): 1472–1474
Sagias N. C., Mathiopoulos P. T. (2005) Switched diversity receivers over generalized gamma fading channels. IEEE Communications Letters 9(10): 871–873
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sagias, N.C., Lazarakis, F.I., Alexandridis, A.A. et al. Higher Order Capacity Statistics of Diversity Receivers. Wireless Pers Commun 56, 649–668 (2011). https://doi.org/10.1007/s11277-009-9837-6
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-009-9837-6