An adaptive antenna system may be used with a GPS system to improve operation in the presence of interference signals. A resulting adapted antenna pattern will cause array pattern distortions affecting GPS satellite signals received at some signal arrival angles. By determining values of array factor distortions applicable to a GPS satellite signal received at a specific arrival angle via a specific adapted array pattern, a correction signal may be developed for use to mitigate the effect of the applicable array factor distortion. By use of satellite angle data, navigational data, or both, a predictive angle value of a future arrival angle of a satellite signal may be identified. By developing a correction signal applicable to that future arrival angle, corrections for arriving signals can be applied without reliance on stale values. Corrections may be made to the received satellite signal or may be supplied to the GPS system for corrective use during processing of the received signal. Other systems and methods applicable to reception of GPS, broadband or other signals via array antennas with or without adaptive processing are also described.