A General Moment Generating Function for MRC Diversity over Gaussian Gain Fading Channels

Rainfield Y. Yen

doi:10.6180/jase.2006.9.4.07

A General Moment Generating Function for MRC Diversity over Gaussian Gain Fading Channels

Electrical Engineering

Rainfield Y. Yen This email address is being protected from spambots. You need JavaScript enabled to view it.¹

¹Department of Electrical Engineering, Tamkang University, Tamsui, Taiwan 251, R.O.C.

Received: July 11, 2005
Accepted: March 21, 2006
Publication Date: December 1, 2006

Download Citation: ||https://doi.org/10.6180/jase.2006.9.4.07

ABSTRACT

For maximal ratio combining (MRC) diversity over correlated fading channels with Gaussian channel gains, we utilize unitary diagonalization to decorrelate the physical channels into uncorrelated virtual channels to easily obtain the moment generating function (MGF) of the received signal- to-noise ratio (SNR). The MGF thus obtained has a compact form and can be universally applied to various popular fading models. In addition to the advantage of simple derivation procedure, this general MGF can be readily modified to express various scenarios of channel power distributions as well as joint fading models. To demonstrate these advantages, we compare our derivation and our MGF expression for the generalized Ricean fading case with an existing work in the literature.

Keywords: Moment Generating Function, Maximal Ratio Combining (MRC), Decorrelation, Correlated Fading Channels

REFERENCES

[1] Alouini, M-S. and Goldsmith, A., “A Unified Approach for Calculating Error Rates of Linearly Modulated Signals Over Generalized Fading Channels,” IEEE Trans. Commun. Vol. 47, pp. 13241334 (1999).
[2] Aalo, V. A., “Performance of Maximal-Ratio Diversity Systems in a Correlated Nakagami-Fading Environment,” IEEE Trans. Commun., Vol. 43, pp. 2360 2369 (1995).
[3] Mallik, R. K., Win, M. Z. and Winters, J. H., “Performance of Dual-Diversity Predetection EGC in Correlated Rayleigh Fading with Unequal Branch SNRs,” IEEE Trans. Commun., Vol. 50, pp. 1041 1044 (2002).
[4] Loskot, P. and Beaulieu, N. C., “Maximum Ratio Combining with Arbitrary Correlated Generalized Ricean Branches,” Proc. IEEE 2004 Wireless Commun. and Networking Conf. (WCNC 2004), Vol. 1, March, pp. 333338 (2004).
[5] Dong, X. and Beaulieu, N. C., “Optimal Maximal Ratio Combining with Correlated Diversity Branches,” IEEE Commun. Lett, Vol. 6, pp. 2224 (2002).
[6] Win, M. Z., Chriskos, G. and Winters, J. H., “MRC Performance for M-ary Modulation in Arbitrarily Correlated Nakagami Fading Channels,” IEEE Commun. Lett., Vol. 4, pp. 301303 (2000).
[7] Johnson, N. L. and Kotz, S., Distribution in Statistics: Continuous Multivariate Distributions, 1st ed., John Wiley & Sons, New York, U.S.A. (1972).
[8] Annamalai, A. and Tellambura, C., “Error Rates for Nakagami-m Fading Multichannel Reception of Binary and M-ary Signals,” IEEE Trans. Commun., Vol. 49, pp. 5868 (2001).
[9] Win, M. Z., Chriskos, G. and Winters, J. H., “MRC Performance for M-ary Modulation in Arbitrarily Correlated Nakagami Fading Channels,” IEEE Commun. Lett., Vol. 4, pp. 301303 (2000).
[10] Lombardo, P., Fedele, G. and Rao, M. M., “MRC Performance for Binary Signals in Nakagami Fading with General Branch Correlation,” IEEE Trans. Commun., Vol. 47, pp. 4452 (1999).
[11] Larsson, E. G. and Stoica, P., Space-Time Block Coding for Wireless Communications, Cambridge Univ. Press, New York (2003).
[12] Gradshteyn, I. S. and Ryzhik, I. M., Table of integrals, Series and Products, Academic, New York, U.S.A. (1980).