An example display system includes: a display; an input device configured to transmit an initial position signal; a plurality of antenna modules configured to transmit a position detection signal, receive a reflection signal of the position detection signal that is reflected from the input device and a surrounding object, and receive the initial position signal transmitted from the input device; and a controller configured to perform control to cause a pointer to be displayed on the display based on a position of the input device according to the received initial position signal and the reflection signal.