An integrated GNSS signal having a plurality of signal components with arbitrary power allocation may be processed. In an embodiment, an integrated signal processing unit of a GNSS receiver may generate in parallel complex rotated samples for a sample of the integrated signal. The complex rotated samples (e.g., early and late complex rotated samples) may be accumulated in parallel in a window that spans any arbitrary width that is less than or equal to a number of code chips in a PRN code sequence. In another embodiment, the integrated signal processing unit may sequentially generate complex rotated samples for the sample. The complex rotated samples (e.g., early, punctual, and late complex rotated samples) may be sequentially accumulated in the window. The GNSS receiver may utilize the accumulated complex rotated samples to perform correlation techniques, perform multipath mitigation techniques, and/or track the integrated signal.