A novel system for performing adaptive beamforming in a slow frequency hopping environment is disclosed. The presence of slow frequency hopping means that conventional mechanisms of using beamforming weights from previous time slots are inapplicable. The inventive system calculates a series of beamforming weights from an estimate of the spatial location of the mobile subscriber in the previous frame, which is impervious to slow frequency hopping and the data that precedes the training sequence data of the current frame. The beamforming weights and the spatial location of the mobile are updated with the arrival of the entirety of the current frame. The initial beamforming weight estimate is sufficient to permit processing on a real-time basis of the current frame even if the inventive system is implemented as an appliqué system interposed between the antenna array and a conventional base station.