A generating device that includes: a unit for generating triggering positions, a unit for generating, during the course of the movement of the moving element, actual positions of said moving element, this unit further including a unit for measuring successive effective positions of the moving element, the actual positions including at least these measured effective positions, a unit for comparing, for a current triggering position, the actual positions successive to this current triggering position in such a way as to identify, among these successive actual positions, the closest actual position to said current triggering position, and this within a given limit, and a unit for generating a pulsed signal for the current triggering position, if and when the moving element reaches said closest actual position and that this position is situated within the given limit.