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In this paper, we propose a comprehensive research over triple hopall-optical relaying free-space optical (FSO) systems in the presence of allmain noise sources including background, thermal and amplified spontaneousemission (ASE) noise and by considering the effect of the optical degree-of-freedom (DoF). Using full CSI relaying, we derive the exact expressions for thenoise variance at the destination. Then, in order to simplify the analyticalexpressions of full CSI relaying, we also propose and investigate the validityof different approximations over noise variance at the destination. Finally, weevaluate the the performance of considered triple-hop all-optical relaying FSOsystem in term of ergodic capacity.

Ergodic Capacity of Triple-Hop All-Optical Amplify-and-Forward Relaying over Free-Space Optical Channels