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All-Optical FSO Relaying Under Mixture-Gamma Fading Channels and Pointing Errors

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Abstract

The performance of all-optical dual-hop relayed free-space optical communication systems is analytically studied and evaluated. We consider the case when the total received signal undergoes turbulence-induced channel fading, modeled by the versatile mixture-Gamma distribution. Also, the misalignment-induced fading due to the presence of pointing errors is jointly considered in the enclosed analysis. The performance of both amplify-and-forward and decode-and-forward relaying transmission is studied, when heterodyne detection is applied. New closed-form expressions are derived regarding some key performance metrics of the considered system; namely, the system outage probability and average bit-error rate.

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Fig. 1
Fig. 2

Notes

  1. In the AF relaying case, where there is no optical-to-electrical conversion at the relay node, \(\eta _{2}=1\) [12].

  2. The sharpness of this bound is manifested when \(x\rightarrow +\infty\), such that \(\varGamma (-j,x)\rightarrow \exp (-x)x^{-j-1}\), which reflects low-to-moderate SNR regions according to (1). It is noteworthy that the latter SNR regions are of particular interest in current study, since analytical results only for the asymptotically high SNR region exist so far.

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Correspondence to Nikolaos I. Miridakis.

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Miridakis, N.I., Vergados, D.D. & Michalas, A. All-Optical FSO Relaying Under Mixture-Gamma Fading Channels and Pointing Errors. Wireless Pers Commun 104, 771–781 (2019). https://doi.org/10.1007/s11277-018-6050-5

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