Abstract: The invention relates to a system (1) for positioning at least one mobile receiver (2), comprising at least two stationary transmitter bases (4, 4A, 4B). Each transmitter base 5 (4, 4A, 4B) is configured to transmit radio frequency signals (S1A, S1B, sdA, sdB, srA, srB) and to transmit a sum (S1A, S1B) of at least two unmodulated pure carrier signals of different frequencies; and the mobile receiver (2) further comprises: means for measuring phases of the signals; and computing means configured to: apply a Fourier transform to a signal consisting of the various measured phases of the radio frequency 10 signals; determine a time-of-flight between the mobile receiver (2) and each base (4A, 4B); calculate at least one time-of-flight difference between the mobile (2) and two transmitter bases (4A, 4B); determine the position of the mobile receiver (2) from the calculated time-of-flight difference(s).