An antenna arrangement has an inductive transmitting antenna having a main radiating axis, an inductive receiving antenna having a main receiving axis, and an inductive compensator. The inductive receiving antenna is arranged in the main radiating axis of the transmitting antenna. The inductive compensator is electrically connected in series to the receiving antenna and is arranged in a first plane which intersects a second plane. The main receiving axis of the receiving antenna here is normal to the second plane.