A satellite telecommunications system comprises at least one satellite receiving signals originating from a plurality of transmitters present in a surveillance zone called a task, the transmission of the signals by the transmitters being discontinuous and organized into time slots. The satellite includes an array of reception antennas, a set of digital reception filters being associated with each antenna. The satellite also includes means for separating the signals originating from various transmitters and colliding in one and the same slot, said separation being carried out by adapting the coefficients of the digital reception filters, said coefficients being deduced from predictions of the position of the transmitters.