In this work, we try to minimize the mathematical complexity in analyzing outage and error performance by emulating multi-hop terrestrial FSO communication system as a single dual-hop scheme. More specifically, we approximate the topology of such a system and we estimate analytically its performance, by taking into account various modulation formats for strong and saturated atmospheric turbulence conditions. The theoretical study of the FSO system performance is performed using either the negative exponential or the K distribution models, while the well-known modulation formats on-off keying (OOK), pulse amplitude modulation (PAM) and pulse position modulation (PPM), have been employed. Thus, closed form mathematical expressions for outage probability and average BER estimation are derived and their outcomes can easily be used for the design of modern optical wireless links. Finally, using the obtained mathematical forms, the corresponding numerical results are presented using realistic FSO parameter values.

在这项工作中，我们通过将多跳地面FSO通信系统作为单个双跳方案进行仿真，尝试在分析中断和错误性能时最小化数学复杂性。更具体地说，我们通过考虑针对强和饱和大气湍流条件的各种调制格式，来近似估算这种系统的拓扑，并通过分析来评估其性能。FSO系统性能的理论研究是使用负指数模型或K分布模型进行的，而众所周知的调制格式包括开关键控（OOK），脉冲幅度调制（PAM）和脉冲位置调制（PPM），已被雇用。从而，得出了中断概率和平均BER估计的闭合形式数学表达式，其结果可轻松用于现代光学无线链路的设计。最后，使用获得的数学形式，使用实际的FSO参数值给出相应的数值结果。