The invention is related to a method providing closed-loop transmit diversity in a wireless communication system. The method comprises the step of receiving feedback information about a channel state in a transmitting end in the wireless communication system from at least one receiving end. The system further comprises a number of transmitter antennas providing for at least one Alamouti encoded data substream, and a number of receiver antennas. The method is characterised in that it comprises the step of conveying, at the receiving end, feedback information containing the complex valued weights of a subset of the receiver antennas, thereby reducing the bandwidth used for feeding back information from said receiving end. The invention is also related to such a receiver, transmitter and system.