A method for demodulating a radio frequency signal according to one embodiment includes receiving digital signals derived from a radio frequency signal; converting the digital signals to baseband signals; generating a frequency error signal using the baseband signals during an acquisition period; and shifting a frequency of the digital signals towards zero frequency error during the acquisition period using the frequency error signal, with the proviso that the digital signals are not phase locked during the shifting. Such methodology may also be implemented as a system using logic for performing the various operations. Additional systems and methods are also presented.