A communication method is provided, in which a data vector u which contains respective signal data destined for each of a plurality of users is transmitted from multiple antennas or other transmitting elements. Prior to transmission, a perturbation vector .tau.l is added to the data vector u, in which .tau. is a positive real number and each component of the vector l is a complex number whose real and imaginary parts are both integers. This perturbation is beneficial for improving the total rate of data transmission.