An AltBoc receiver accumulates power measurements over code chip ranges that are associated with time slots that span the code chips. The receiver combines a received signal with code and carrier phase offsets that correspond to the time slots to produce the power measurements, with the code phase offsets determined from compressed signals representing one or a combination of the codes in the AltBoc signal. The receiver recovers navigation data from the data channels of the received signal and combines the recovered data with the corresponding locally generated PRN codes to produce a locally generated 4 code signal that is then used track the full 8PSK AltBoc received signal. The receiver rotates and shifts the phase of the received signal in order to line up the subcarrier splitting code zero crossings. The pulse shape of this rotated and shifted signal is measured. The resulting sharp edges of the recovered subcarrier are used to control the code phase of the receiver.