Non-codebook based precoding for multi-user MIMO downlink

A wireless communication system is provided that includes a base station receiving a plurality of input signals that are selectively provided to a plurality of precoders. The precoders perform precoding operations on the input signals and output a first signal. The base station includes an algorithm that minimizes total transmit power per antenna under signal to interference and noise ratio (SINR) target constraints or maximizes the SINR under a sum of power constraint so as to determine power allocation and obtain efficient precoders. A number of mobile receiver units receive the first signal and performs their respective operations to extrapolate the linear estimate of the input signals.