On the Distribution of the Sum of Gamma-Gamma Variates and Applications in RF and Optical Wireless Communications

Details On the Distribution of the Sum of Gamma-Gamma Variates and Applications in RF and Optical Wireless Communications On the Distribution of the Sum of Gamma-Gamma Variates and Applications in RF and Optical Wireless Communications

2009-05-08

arxiv.org/abs/0905.1305v1

Computer Science

Information Theory

Scientific paper

The Gamma-Gamma (GG) distribution has recently attracted the interest within the research community due to its involvement in various communication systems. In the context of RF wireless communications, GG distribution accurately models the power statistics in composite shadowing/fading channels as well as in cascade multipath fading channels, while in optical wireless (OW) systems, it describes the fluctuations of the irradiance of optical signals distorted by atmospheric turbulence. Although GG channel model offers analytical tractability in the analysis of single input single output (SISO) wireless systems, difficulties arise when studying multiple input multiple output (MIMO) systems, where the distribution of the sum of independent GG variates is required. In this paper, we present a novel simple closed-form approximation for the distribution of the sum of independent, but not necessarily identically distributed GG variates. It is shown that the probability density function (PDF) of the GG sum can be efficiently approximated either by the PDF of a single GG distribution, or by a finite weighted sum of PDFs of GG distributions. To reveal the importance of the proposed approximation, the performance of RF wireless systems in the presence of composite fading, as well as MIMO OW systems impaired by atmospheric turbulence, are investigated. Numerical results and simulations illustrate the accuracy of the proposed approach.

Affiliated with

Also associated with

No associations

Rating

On the Distribution of the Sum of Gamma-Gamma Variates and Applications in RF and Optical Wireless Communications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Distribution of the Sum of Gamma-Gamma Variates and Applications in RF and Optical Wireless Communications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Distribution of the Sum of Gamma-Gamma Variates and Applications in RF and Optical Wireless Communications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-704055