Abstract: The invention relates to method for calculating a position of a transponder within an area of interest, by means of a local positioning system comprising a set of directive antennae located in the vicinity of the area of interest, each antenna having a coverage area, the method comprising the following steps: assessing an approximate position of the transponder selecting at least one antenna of the set of antennae that is such that the transponder is within range but not in the effective coverage area of said antenna, according to the approximated position of the transponder and the positions and orientations of the antennae redirecting the focus of the selected antenna so that the transponder is in the effective coverage area of said antenna, according to the approximated position of the transponder performing time-of-arrival or time-difference-of-arrival measurements with respect to the transponder, by the set of antennae calculating the effective position of the transponder by using said timing measurem