Generating precoding matrix codebooks for a communication system that includes: determining at least one correlation antenna group formed by antenna units with correlation of predefined degree among multiple antenna units in the communication system (S110); selecting at least one correlation antenna group from the determined correlation antenna groups, and processing the precoding matrices corresponding to the selected correlation antenna groups, so that, for each selected correlation antenna group, the processed precoding matrix respectively corresponding to each antenna unit of the selected correlation antenna groups has symmetry. Creating precoding matrix codebooks for communication systems, a base station and a mobile terminal are also provided.