Capacity bounds for wireless optical intensity channels with Gaussian noise

Authors:
Ahmed A. Farid;Steve Hranilovic
Affiliations:
Department of Electrical and Computer Engineering, McMaster University, Hamilton, ON, Canada;Department of Electrical and Computer Engineering, McMaster University, Hamilton, ON, Canada
Venue:
IEEE Transactions on Information Theory
Year:
2010

Citing 4
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Capacity bounds for power- and band-limited optical intensity channels corrupted by Gaussian noise

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Capacity-achieving probability measure for conditionally Gaussian channels with bounded inputs

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Abstract

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.