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Capacity Bounds for Wireless Optical Intensity Channels With Gaussian Noise

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2 Author(s)
Farid, A.A. ; Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, ON, Canada ; Hranilovic, S.

Lower and upper bounds on the capacity of wireless optical intensity pulse amplitude modulation channels under nonnegativity and average optical power constraints are derived. A lower bound is derived based on source entropy maximization over a family of discrete nonuniform distributions with equally spaced mass points. A closed form for the maxentropic discrete input distribution is provided. Compared to previously reported bounds, the derived lower bound is tight at both low and high signal-to-noise ratios (SNRs). In addition, a closed-form upper bound is derived based on signal space geometry via a sphere packing argument. The proposed bound is tight at low SNRs and incurs a small gap to the channel capacity at high SNRs. The derived bounds asymptotically describe the optical intensity channel capacity at low SNRs, where a majority of such links operate.

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Information Theory, IEEE Transactions on  (Volume:56 ,  Issue: 12 )