In a wireless communication device, transmit weights are iteratively processed to compensate for any group delay caused by receive synchronization in the receive device. A transmit matrix of weights is computed from signals transmitted by a second communication device and received at a plurality of antennas of the first communication device. The transmit matrix processing includes normalizing a transmit weight vector with respect to a mode of the transmit weight associated with one of the plurality of antennas. The processed transmit matrix is 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. A plurality of eigenmodes is transmitted accordingly between the two devices in a converging iteration.