On the Maximum and Minimum of Double Generalized Gamma Variates With Applications to the Performance of Free-Space Optical Communication Systems

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...

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Bibliographic Details
Published in:IEEE transactions on vehicular technology 2016-11, Vol.65 (11), p.8822-8831
Main Authors: AlQuwaiee, Hessa, Ansari, Imran Shafique, Alouini, Mohamed-Slim
Format: Article
Language:English
Subjects:
Adaptive optics
Asymptotic properties
Bit error rate
Bivariate analysis
Communications systems
Diversity reception
Double generalized Gamma
dual-branch diversity
dual-hop (DH) relay system
Exact solutions
Fading
free-space optical (FSO)
Free-space optical communication
hybrid radio frequency (RF)/FSO
Mathematical analysis
pointing errors
Probability density function
Receivers
Relays
selection combining (SC)
Signal to noise ratio
turbulence
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Summary: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.
ISSN:0018-9545
1939-9359
DOI:10.1109/TVT.2016.2515662