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    Free-Space Optical Communications: Capacity Bounds, Approximations, and a New Sphere-Packing Perspective

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    SpherePacking_TechReport.pdf
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    Description:
    Version 2 - 2015-10-19
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    Type
    Technical Report
    Authors
    Chaaban, Anas cc
    Morvan, Jean-Marie
    Alouini, Mohamed-Slim cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2015-04
    Permanent link to this record
    http://hdl.handle.net/10754/552096
    
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    Abstract
    The capacity of the intensity-modulation direct-detection (IM-DD) free-space optical channel is studied. It is shown that for an IM-DD channel with generally input-dependent noise, the worst noise at high SNR is input-independent Gaussian with variance dependent on the input cost. Based on this result, a Gaussian IM-DD channel model is proposed where the noise variance depends on the optical intensity constraints only. A new recursive approach for bounding the capacity of the channel based on sphere-packing is proposed, which leads to a tighter bound than an existing sphere-packing bound for the channel with only an average intensity constraint. Under both average and peak constraints, it yields bounds that characterize the high SNR capacity within a negligible gap, where the achievability is proved by using a truncated Gaussian input distribution. This completes the high SNR capacity characterization of the channel, by closing the gap in the existing characterization for a small average-to-peak ratio. Simple fitting functions that capture the best known achievable rate for the channel are provided. These functions can be of significant practical importance especially for the study of systems operating under atmospheric turbulence and misalignment conditions. Finally, the capacity/SNR loss between heterodyne detection (HD) systems and IM-DD systems is bounded at high SNR, where it is shown that the loss grows as SNR increases for a complex-valued HD system, while it is bounded by 1.245 bits or 3.76 dB at most for a real-valued one.
    Sponsors
    This work is supported in part by King Abdulaziz City of Science and Technology (KACST) under grant AT-34-145.
    Collections
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Technical Reports

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