Method and arrangement in a base station for sending data to a user equipment. The base station comprises an instance of a codebook, corresponding to another instance of the codebook comprised in the user equipment. The method comprises obtaining channel state information from a signal received from the user equipment, estimating a channel to be used for transmitting data to the user equipment, calculating a precoder, based on the obtained channel state information. Further is comprised the steps of selecting a precoding index from the codebook based on the calculated precoder, or selecting a precoding index received from the user equipment, precoding data to be transmitted to the user equipment using the calculated precoder and transmitting the precoded data, a non-user dedicated reference signal and the precoding index on the estimated channel to the user equipment. Further, corresponding method and arrangement in a user equipment are described.