An antenna system is described, comprising at least one antenna element provided on a printed circuit board material and a lens unit with a lens body made of a dielectric material, the lens unit being directly connected to the antenna element. The lens unit comprises a lower side facing the antenna element and an upper side being located opposite to the lower side. Further, the upper side has at least one of a convex surface and a Fresnel lens shaped surface. The lens unit also comprises at least one recess filled by the antenna element in a mounted state of the antenna system.