Jurado-Navas Antonio, Garrido-Balsells José María, Paris José Francisco, Castillo-Vázquez Miguel, Puerta-Notario Antonio
Communications Engineering Department, University of Málaga, Campus de Teatinos, E-29071 Málaga, Spain.
Opt Express. 2012 May 21;20(11):12550-62. doi: 10.1364/OE.20.012550.
Recently, a new and generalized statistical model, called M or Málaga distribution, was proposed to model the irradiance fluctuations of an unbounded optical wavefront (plane and spherical waves) propagating through a turbulent medium under all irradiance fluctuation conditions in homogeneous, isotropic turbulence. Málaga distribution was demonstrated to have the advantage of unifying most of the proposed statistical models derived until now in the bibliography in a closed-form expression providing, in addition, an excellent agreement with published plane wave and spherical wave simulation data over a wide range of turbulence conditions (weak to strong). Now, such a model is completed by including the adverse effect of pointing error losses due to misalignment. In this respect, the well-known effects of aperture size, beam width and jitter variance are taken into account. Accordingly, after presenting the analytical expressions for the combined distribution of scintillation and pointing errors, we derive its centered moments of the overall probability distribution. Finally, we obtain the analytical expressions for the average bit error rate performance for the M distribution affected by pointing errors. Numerical results show the impact of misalignment on link performance.
最近，一种新的广义统计模型，称为M或马拉加分布，被提出来对在均匀、各向同性湍流中所有辐照度波动条件下传播通过湍流介质的无界光波前（平面波和球面波）的辐照度波动进行建模。马拉加分布被证明具有这样的优势：它能以封闭形式表达式统一目前文献中已提出的大多数统计模型，此外，在很宽的湍流条件范围（从弱到强）内，它与已发表的平面波和球面波模拟数据具有极佳的一致性。现在，通过纳入由于未对准导致的指向误差损失的不利影响，这样一个模型得到了完善。在这方面，考虑了孔径大小、光束宽度和抖动方差等众所周知的影响。相应地，在给出闪烁和指向误差联合分布的解析表达式之后，我们推导出其总体概率分布的中心矩。最后，我们得到受指向误差影响的M分布的平均误码率性能的解析表达式。数值结果显示了未对准对链路性能的影响。
