The receiver for a satellite positioning system includes at least one receive channel with an input stage configured to receive a satellite signals having different constellation frequencies belonging to one frequency band or to different frequency bands. The receive channel further includes a frequency transposition stage connected to the input stage (EE) and including a controllable local oscillator device configured to deliver different frequency transposition signals respectively adapted to the different constellation frequencies. A processing stage of the receive channel is connected to the frequency transposition stage and includes a control circuit configured to control the local oscillator device to sequentially and cyclically deliver the different frequency transposition signals.