Precoding for multiple transmission streams in multiple antenna systems. Disclosed herein is a general method that transmits signal from multiple antennas using a one/two dimensional precoder. This precoder is fixed in a given resource block (RB) or slot, which is composed of P subcarriers and Q OFDM symbols (where the values for P and Q are greater than or equal to 1). The precoder in each resource block may take same or different values, which span the two dimensional time-frequency grid. The precoder is chosen as a function of either logical frequency index or physical frequency index of the RB.