A Simple And Accurate α-μ Approximation To Crossing Rates In Egc And Mrc Receivers Undergoing Nakagami-m Fading

In this paper, using an approach based on moment estimators, we propose highly accurate closed-form approximations for the level crossing rate of multibranch equal-gain and maximal-ratio combiners operating on independent non-identically distributed Nakagami-m fading channels. As the exact solutions, for both combiners, are given in terms of multifold integrals, our approximate results provide more ef.ciency of the computational point of view, mainly when the number of diversity branches increases. Some numerical plots are depicted and a very good agreement is ascertained between the analytical and approximate curves. © 2007 IEEE.795798Jakes, W.C., (1974) Microwave Mobile Communications, , New York: WileyBrennan, D.G., Linear diversity combining techniques (1959) In IRE, 47, pp. 1075-1102. , JunFraidenraich, G., Santos Filho, J.C.S., Yacoub, M.D., Second-order statistics of maximal-ratio and equal-gain combining in Hoyt fading (2005) IEEE Commun. Lett, 9 (1). , JanFraidenraich, G., Yacoub, M.D., Santos Filho, J.C.S., Second-order statistics of maximal-ratio and equal-gain combining in Weibull fading (2005) IEEE Commun. Lett, 9 (6), pp. 499-501. , JunYacoub, M.D., da Silva, C.R.C.M., Bautista, J.E.V., Secondorder statistics for diversity-combining techniques in Nakagami-fading channels (2001) IEEE Trans. Veh. Technol, 50 (6), pp. 1464-1470. , NovIskander, C.-D., Mathiopoulus, P.T., Analytical level crossing rates and average fade durations for diversity techniques in Nakagami fading channels (2002) IEEE Trans. Commun, 50 (8), pp. 1301-1309. , Augda Costa, D.B., Yacoub, M.D., Fraidenraich, G., Second-order statistics of equal-gain and maximal-ratio combining for the α-μ (Generalized Gamma) fading distribution (2006) IEEE International Symposium on Spread Spectrum Techniques and Applications, , Manaus, Brazil, Augda Costa, D.B., Santos Filho, J.C.S., Yacoub, M.D., Fraidenraich, G., Crossing rates and fade durations for diversity-combining techniques over α-μ fading channels (2007) Accepted for publication in IEEE Trans. Wirel. CommunNakagami, M., The m-distribution - A general formula of intensity distribution of rapid fading (1960) Statistical Methods in Radio Wave Propagation, , W. C. Hoffman, Ed. Elmsford, NY: PergamonYacoub, M.D., Bautista, J.E.V., Guedes, L.G.R., On high order statistics of the Nakagami-m distribution (1999) IEEE Trans. Veh. Technol, 48 (3), pp. 790-793. , MayYacoub, M.D., The α-μ distribution: A general fading distribution. IEEE Inter. Symp. on Personal, Indoor and Mobile Radio Commun (2002) PIMRC, 2, pp. 629-633. , SepYacoub, M.D., The α-μ distribution: A physical fading model for the Stacy distribution (2007) IEEE Trans. Veh. Technol, 56 (1), pp. 27-34. , Janda Costa, D.B., Yacoub, M.D., Santos Filho, J.C.S., An improved closed-form approximation to the sum of arbitrarily distributed Nakagami-m variates (2007), Submitted for publicationS. O. Rice. Statistical properties of random noise currents. Selected Papers on Noise and Stochastic Processes, pages 133-114, 1954. N. Wax. Ed. New York:Dove