Outage Probability Bounds of EGC Over Correlated Lognormal Fading Channels

Lognormal fading channel is an important channel model for wireless communications and free-space optical communications, but it is much more mathematically intractable than Rayleigh, Rician, and Nakagami fading channels. The cumulative distribution function of a sum of lognormal random variables does not yield a closed-form expression, thus it is challenging to approximate the outage probability of a diversity system over lognormal fading channels. In this work, we obtain the closed-form expressions of outage probability bounds for dual-branch equal-gain combining (EGC) system over correlated lognormal fading channels. A detailed proof and numerical results verify the tightness of the bounds from low to high signal-to-noise ratio (SNR) regimes. The new analytical tool provides an efficient way to compare two EGC systems over correlated lognormal fading channels, and shows that correlation can cause an infinite SNR loss to the EGC system.

[1]  Lenan Wu,et al.  An Asymptotic Study of Hierarchical Diversity Receptions Over Rician Channels With Arbitrary Correlation , 2016, IEEE Transactions on Vehicular Technology.

[2]  Tho Le-Ngoc,et al.  Log shifted gamma approximation to lognormal sum distributions , 2005, IEEE International Conference on Communications, 2005. ICC 2005. 2005.

[3]  George K. Karagiannidis,et al.  Equal gain combining over Nakagami-n (rice) and Nakagami-q (Hoyt) generalized fading channels , 2005, IEEE Transactions on Wireless Communications.

[4]  Chintha Tellambura,et al.  Bounds on the Distribution of a Sum of Correlated Lognormal Random Variables and Their Application , 2008, IEEE Transactions on Communications.

[5]  Fan Yang,et al.  Performance Bounds for Diversity Receptions Over Arbitrarily Correlated Nakagami-$m$ Fading Channels , 2016, IEEE Transactions on Wireless Communications.

[6]  Fortunato Santucci,et al.  A comprehensive framework for performance analysis of cooperative multi-hop wireless systems over log-normal fading channels , 2010, IEEE Transactions on Communications.

[7]  Mohamed-Slim Alouini,et al.  Optimum CombiningA Diversity Technique for Communication over Fading Channels in the Presence of Interference , 2005 .

[8]  Fortunato Santucci,et al.  Generalized Moment Matching for the Linear Combination of Lognormal RVs - Application to Outage Analysis in Wireless Systems , 2006, 2006 IEEE 17th International Symposium on Personal, Indoor and Mobile Radio Communications.

[9]  Tho Le-Ngoc,et al.  Log-Shifted Gamma Approximation to Lognormal Sum Distributions , 2007, IEEE Trans. Veh. Technol..

[10]  Mohamed-Slim Alouini,et al.  Dual diversity over correlated log-normal fading channels , 2002, IEEE Trans. Commun..

[11]  W. Marsden.  I and J , 2012 .

[12]  Halim Yanikomeroglu,et al.  On the Tails of the Distribution of the Sum of Lognormals , 2007, 2007 IEEE International Conference on Communications.

[13]  Norman C. Beaulieu,et al.  Novel Simple Representations for Gaussian Class Multivariate Distributions With Generalized Correlation , 2011, IEEE Transactions on Information Theory.

[14]  S. Schwartz,et al.  On the distribution function and moments of power sums with log-normal components , 1982, The Bell System Technical Journal.

[15]  George K. Karagiannidis,et al.  Equal-gain and maximal-ratio combining over nonidentical Weibull fading channels , 2005, IEEE Transactions on Wireless Communications.

[16]  Murat Uysal,et al.  Cooperative diversity over log-normal fading channels: performance analysis and optimization , 2008, IEEE Transactions on Wireless Communications.

[17]  Athanasios D. Panagopoulos,et al.  Performance of N-branch receive diversity combining in correlated lognormal channels , 2009, IEEE Communications Letters.

[18]  Jun Yan,et al.  A New Asymptotic Analysis Technique for Diversity Receptions Over Correlated Lognormal Fading Channels , 2017, IEEE Transactions on Communications.