The eager for higher data rates and link capacity keep increasing in recent years. Most of today's used wireless connections will have difficulty to face future demands because of their intrinsic limitations and there is the need for alternative solutions. Free Space Optics (FSO) is able to insert in this scenario as a possible high-capacity wireless optical transmission. Although many works, mainly theoretical, have been done, demonstration of FSO as an high capacity link still lack of further practical validations. The goal of this thesis is to prove a low-cost, reliable FSO outdoor communication able to resist atmospheric impairments and guaranteeing transmission rates of more than 400 Gbps in a 55 m link thanks to the joint use of probabilistic constellation shaping and channel predictors..