论文标题

与信号依赖性噪声的室内可见光通信的紧密容量界限

Tight Capacity Bounds for Indoor Visible Light Communications With Signal-Dependent Noise

论文作者

Wang, Jin-Yuan, Fu, Xian-Tao, Lu, Rong-Rong, Wang, Jun-Bo, Lin, Min, Cheng, Julian

论文摘要

通道容量边界是针对具有信号依赖性高斯噪声的点对点室内可见光通信(VLC)系统得出的。考虑到照明和通信,VLC的非负输入受到峰值和平均光强度约束的约束。考虑了两种情况:一个方案既具有平均值和峰值光强度约束,而另一种方案仅具有平均光强度约束。对于两种情况,我们得出了下限和上限的容量表达式的封闭式表达式。具体而言,通过使用变分方法来得出容量下限,并且输出熵始终大于输入熵的属性。容量上限是通过利用能力的双重表达和“逃避无限源的能力方源分布”的原理获得的。此外,渐近分析表明,容量下限和上限之间的渐近性能差距接近零。最后,使用数值结果确认所有得出的容量边界。

Channel capacity bounds are derived for a point-to-point indoor visible light communications (VLC) system with signal-dependent Gaussian noise. Considering both illumination and communication, the non-negative input of VLC is constrained by peak and average optical intensity constraints. Two scenarios are taken into account: one scenario has both average and peak optical intensity constraints, and the other scenario has only average optical intensity constraint. For both two scenarios, we derive closed-from expressions of capacity lower and upper bounds. Specifically, the capacity lower bound is derived by using the variational method and the property that the output entropy is invariably larger than the input entropy. The capacity upper bound is obtained by utilizing the dual expression of capacity and the principle of "capacity-achieving source distributions that escape to infinity". Moreover, the asymptotic analysis shows that the asymptotic performance gap between the capacity lower and upper bounds approaches zero. Finally, all derived capacity bounds are confirmed using numerical results.

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