An Exact Analytical Method for Performance Analysis of Maximal-Ratio and Equal-Gain Combining Diversity Schemes over Rayleigh Fading Channels in the Presence of Gaussian Channel Estimation Error
Subject Areas : electrical and computer engineering
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Keywords: DiversityRayleigh fadingMRCEGCGaussian error,
Abstract :
In this paper, the probability of error of maximal-ratio combining (MRC) and equal-gain combining (EGC) diversity schemes with coherent binary phase shift keying (BPSK) is analyzed over Rayleigh fading channels in the presence of channel estimation error. The channel estimation errors cause errors in the required weighting coefficients of the diversity receivers. Such errors are generally modeled as complex Gaussian random variables. Based on this assumption, we develop novel exact analytical equations for the calculation of the probability of error in the presence of Gaussian errors in the weighting coefficients. Results show that the exact probability of error can be derived using the existing equations under the assumption of perfect channel estimation and by replacing the SNR with an effective SNR, which is due to the weighting coefficients errors.
[1] P. Bello and B. D. Nelin, "Predetection diversity combining with selectively fading channels," IEEE Trans. Commun. Syst., vol. 10, no. 1, pp. 32-42, Mar. 1962.
[2] J. Gans, "The effect of Gaussian error in maximal ratio combiners," IEEE Trans. Commun. Technol., vol. 19, no. 4, pp. 492-500, Aug. 1971.
[3] B. R. Tomiuk, N. C. Beaulieu, and A. A. Abu-Dayya, "General forms of maximal ratio diversity with weighting errors," IEEE Trans. Commun., vol. 47, no. 4, pp. 488-492, Apr. 1999.
[4] A. Annamalai, "The effect of Gaussian error on the selection diversity combiners," Wiley J. Wireless Commun. Mob. Comput., vol. 1, no. 3, pp. 419-435, Jul. 2001.
[5] A. Annamalai and C. Tellambura, "Analysis of hybrid selection/maximal ratio diversity with Gaussian errors," IEEE Trans. Wireless Commun., vol. 1, no. 3, pp. 498-512, Jul. 2002.
[6] Y. Ma, R. Schober, and S. Pasupathy, "Effect of imperfect channel estimation on MRC diversity in fading channels," in Proc. IEEE ICC’04, vol. 6, pp. 3163-3167, Jun. 2004.
[7] Y. Ma, R. Schober, and S. Pasupathy, "Effect of imperfect channel estimation on MRC diversity in fading channels," IEEE Trans. Veh. Technol., vol. 54, no. 1, pp. 2137-2142, Nov. 2005.
[8] W. Gifford, M. Win, and M. Chiani, "Diversity with practical channel estimation," IEEE Trans. Wireless Commun., vol. 4, no. 4, pp. 1935-1947, Jul. 2005.
[9] L. Cao and N. C. Beaulieu, "Exact error rate analysis of diversity 16-QAM with channel estimation error," IEEE Trans. Commun., vol. 52, no. 6, pp. 1019-1029, Jun. 2004.
[10] S. Verdo, Multiuser Detection. Cambridge, U. K.: Cambridge Univ. Press, 1998.
[11] J. G. Proakis, Digital Communications, 3rd edition. New York: McGraw-Hill, 1995.
[12] A. Annamalai and C. Tellambura, "Equal gain diversity receiver performance in wireless channels," IEEE Trans. Commun., vol. 48, no. 10, pp. 1732-1745, Oct. 2000.
