A plurality of wireless channels link a transmitter and a receiver, each channel corresponding to a different transmit-receive antenna pair. Channel state information is estimated for the plurality of wireless channels by grouping the plurality of channels into one or more groups, each group including the channels associated with two or more collocated transmit and/or receive antennas. A set of delay tap values is iteratively estimated in the time domain for each group of channels so that the channels included in the same group are associated with the same delay tap values. A frequency domain channel response of each of the channels included in the same group of channels is estimated based on the set of delay tap values estimated for the group.