This paper investigates the capacity of general multiple-input single-output (MISO) optical intensity channels (OICs) under per-antenna peak- and average-intensity constraints. We first consider the MISO equal-cost constrained OIC (EC-OIC), where, apart from the peak-intensity constraint, average intensities of inputs are equal to arbitrarily preassigned constants. The second model of our interest is the MISO bounded-cost constrained OIC (BC-OIC), where, as compared with the EC-OIC, average intensities of inputs are no larger than arbitrarily preassigned constants. By leveraging tools from quantile functions, stop-loss transform and convex ordering of nonnegative random variables, we prove two decomposition theorems for bounded and nonnegative random variables, based on which we equivalently transform both the EC-OIC and the BC-OIC into respective single-input single-output channels under a peak-intensity and several stop-loss mean constraints. Capacity lower and upper bounds for both channels are established, based on which the asymptotic capacity at high and low signal-to-noise-ratio are determined.
翻译:本文件调查了在防毒顶峰和平均强度限制下普通多投入单产出光强度信道(MISO)光强度信道(OICs)的能力,我们首先考虑MISO等成本受限的OIC(EC-OIC),除了高峰强度限制外,输入的平均强度等于任意预先指定的常数常数。我们的第二个利益模式是MSISO约束成本受限的OIC(BC-OIC),与EC-OIC相比,输入的平均强度不大于任意预先指定的常数。我们通过利用量化功能的工具、中位损变换和对非负面随机变量的组合排序,证明我们把约束性和非排斥性随机变量的理论分解了两种,我们据此将EC-OIC和BC-OIC等同地转换成各自单一投入的单一输出信道,在峰值和若干中位损失意味着限制。两个渠道的能力低端和上界系,其基础是低端的信号。