On the maximum and minimum of double generalized gamma variates with applications to the performance of free-space optical communication systems

AlQuwaiee, H., Ansari, I. S. and Alouini, M.-S. (2016) On the maximum and minimum of double generalized gamma variates with applications to the performance of free-space optical communication systems. IEEE Transactions on Vehicular Technology, 65(11), pp. 8822-8831. (doi: 10.1109/TVT.2016.2515662)

Abstract

In this paper, we derive the exact statistical characteristics of the maximum and the minimum of two modified double generalized gamma variates in closed form in terms of Meijer's G-function, Fox's H-function, the extended generalized bivariate Meijer's G-function, and H-function, in addition to simple closed-form asymptotic results in terms of elementary functions. Then, we rely on these new results to present the performance analysis of 1) a dual-branch free-space optical selection combining (FSO SC) diversity and 2) a dual-hop (DH) FSO relay transmission system over double generalized gamma fading channels with the impact of pointing errors. In addition, we provide asymptotic results of the bit error rate (BER) of the two systems at a high signal-to-noise ratio (SNR) regime. Computer-based Monte Carlo simulations verify our new analytical results.

• Item Type: Articles
• Additional Information: This work supported in part by King Abdulaziz City of Sciences and Technology under Grant AT-34-145 and in part by the King Abdullah University of Science and Technology.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Ansari, Dr Imran
• Authors: AlQuwaiee, H., Ansari, I. S., and Alouini, M.-S.
• College/School: College of Science and Engineering > School of Engineering
• Journal Name: IEEE Transactions on Vehicular Technology
• Publisher: Institute of Electrical and Electronics Engineers
• ISSN: 0018-9545
• ISSN (Online): 1939-9359
• Published Online: 07 January 2016