Serial Free-Space Optical Relaying Communications Over Gamma-Gamma Atmospheric Turbulence Channels

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Executive Summary

In this paper, a study on the end-to-end performance of multi-hop free-space optical wireless systems over turbulence induced fading channels, modeled by the gamma-gamma distribution, is presented. The analysis is carried out for systems employing amplify-and-forward Channel-State-Information-assisted or fixed-gain relays. In order to assess the statistical properties of the end-to-end signal-to-noise ratio for both considered systems, the authors derive novel closed-form expressions for the moment generating function, the probability density function and the cumulative distribution function of the product of rational powers of statistically independent squared gamma-gamma random variables. These statistical results are then applied to studying the outage probability and the average bit error probability of binary modulation schemes. Also, for the case of Channel-State-Information-assisted relays, an accurate asymptotic performance analysis at high SNR values is presented.

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