A tight upper bound on channel capacity for visible light communications

Jiang, Rui, Wang, Zhaocheng, Wang, Qi and Dai, Linglong (2016) A tight upper bound on channel capacity for visible light communications. IEEE Communications Letters, 20 (1), 97-100. (doi:10.1109/LCOMM.2015.2497694).

Record type: Article

Abstract

Since the optical wireless channel in visible light communication (VLC) systems is subject to the non-negativity of the signal and the average optical power, the classic Shannon channel capacity formula is not applicable to VLC systems. To derive a simple closed-form upper bound on channel capacity, sphere packing argument method has been applied previously. However, there is an obvious gap between the existing sphere-packing upper bounds and the lower bounds at high optical signal-to-noise-ratios (OSNRs), which is mainly caused by the inaccurate mathematical approximation of the intrinsic volumes of the simplex. In this letter, a tight sphere-packing upper bound is derived with a new approximation method. Numerical results demonstrate that compared to the existing sphere-packing upper bounds, our proposed upper bound is tighter at high OSNRs.

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