Garrido-Balsells José María, Jurado-Navas Antonio, Paris José Francisco, Castillo-Vazquez Miguel, Puerta-Notario Antonio
Opt Express. 2015 Mar 9;23(5):6345-58. doi: 10.1364/OE.23.006345.
In this paper, a novel and deeper physical interpretation on the recently published Málaga or ℳ statistical distribution is provided. This distribution, which is having a wide acceptance by the scientific community, models the optical irradiance scintillation induced by the atmospheric turbulence. Here, the analytical expressions previously published are modified in order to express them by a mixture of the known Generalized-K and discrete Binomial and Negative Binomial distributions. In particular, the probability density function (pdf) of the ℳ model is now obtained as a linear combination of these Generalized-K pdf, in which the coefficients depend directly on the parameters of the ℳ distribution. In this way, the Málaga model can be physically interpreted as a superposition of different optical sub-channels each of them described by the corresponding Generalized-K fading model and weighted by the ℳ dependent coefficients. The expressions here proposed are simpler than the equations of the original ℳ model and are validated by means of numerical simulations by generating ℳ -distributed random sequences and their associated histogram. This novel interpretation of the Málaga statistical distribution provides a valuable tool for analyzing the performance of atmospheric optical channels for every turbulence condition.
本文对最近发表的马拉加或ℳ统计分布给出了一种新颖且更深入的物理解释。这种分布在科学界得到了广泛认可，它对大气湍流引起的光辐照闪烁进行建模。在此，对先前发表的解析表达式进行了修改，以便通过已知的广义K分布与离散二项分布和负二项分布的混合来表示它们。特别是，现在通过这些广义K概率密度函数（pdf）的线性组合来获得ℳ模型的概率密度函数，其中系数直接取决于ℳ分布的参数。通过这种方式，马拉加模型可以从物理上解释为不同光学子信道的叠加，每个子信道都由相应的广义K衰落模型描述，并由依赖于ℳ的系数加权。这里提出的表达式比原始ℳ模型的方程更简单，并通过生成ℳ分布的随机序列及其相关直方图的数值模拟进行了验证。对马拉加统计分布的这种新颖解释为分析各种湍流条件下大气光信道的性能提供了一个有价值的工具。
