A method and apparatus that reduces the number of possible time alignment possibilities to simplify the satellite positioning system time-ambiguity resolution problem is disclosed. The method may include receiving a first signal (160) from a satellite (150) of a first satellite positioning system and receiving a second signal (140) from a satellite (130) of a second satellite positioning system. The first signal can have a first modulation sequence length and the second signal can have a second modulation sequence length different from the first modulation sequence length. The method may also include determining a time offset between the first signal from the satellite of the first satellite positioning system and the second signal from the satellite of the second satellite positioning system based on an estimated propagation delay of the first signal and the second signal. The method may additionally include establishing a position of a satellite positioning receiver (120) based on the time offset.