In a beamforming communication device, transmit weight vectors are iteratively processed to compensate for any group delay caused by receive synchronization in the receive device. The initial transmit weights are computed from signals transmitted by a second communication device and received at a plurality of antennas of the first communication device. The transmit weight processing includes normalizing a transmit weight vector with respect to an element of the transmit weight vector associated with one of the plurality of antennas. The processed transmit weight vectors are then applied to a transmit signal to produce a plurality of transmit signals to be simultaneously transmitted from corresponding ones of the plurality of antennas of the first communication device. These group delay compensation techniques may be extended to a vector beamforming system in which a plurality of eigenmodes is transmitted between the two devices.