In this work, we derive the statistical characteristics of the maximum and the minimum of two modified1 Gamma-Gamma variates in closed-form in terms of Meijer's G-function and the extended generalized bivariate Meijer's G-function. Then, we rely on these new results to present the performance analysis of (i) a dual-branch free-space optical selection combining diversity undergoing independent but not necessarily identically distributed Gamma-Gamma fading under the impact of pointing errors and of (ii) a dual-hop free-space optical relay transmission system. Computer-based Monte-Carlo simulations verify our new analytical results.
AlQuwaiee, H., Ansari, I. S., & Alouini, M.-S. (2014). On the maximum and minimum of two modified Gamma-Gamma variates with applications. 2014 IEEE Wireless Communications and Networking Conference (WCNC). doi:10.1109/wcnc.2014.6951979