Systems, media, and methods for processing an integrated signal having a plurality of signal components with arbitrary power allocation

A method for processing an integrated signal received at an antenna, wherein the integrated signal has a plurality of signal components with arbitrary power allocation, the method comprising:

• generating at least one local code for a sample of the integrated signal;
• selecting, for each local code of the at least one local code, a phase rotation value and a code shift value;
• generating, based on the phase rotation value, one or more complex rotated samples for the sample;
• and
• determining, based on the code shift value, one or more time slots of a plurality of time slots for a window that spans at least a portion of a pseudorandom noise (PRN) period.

A navigation receiver, comprising:

• for an integrated signal with a plurality of signal components with arbitrary power allocation among the plurality of signal components;
• an integrated signal processing unit executed by a processor, the integrated signal processing unit configured to:
• generate at least one local code for a sample of the integrated signal;
• select, for each local code of the at least one local code, a phase rotation value and a code shift value;
• generate, based on the phase rotation value, one or more complex rotated samples for the sample;
• and
• accumulate the one or more complex rotated samples in one or more bins of a plurality of bins that span a window of any arbitrary width that is less than or equal to a number of code chips in a pseudorandom noise (PRN) code sequence.