Precoder Design in the Presence of Spatial Correlation for Macrocell Environments

A precoder scheme based on the geometrical propagation model for macrocell environments is proposed. Employing the geometry information, spatial correlation matrices of both link ends are derived in closed-form. With the spatial correlation feedback, a computationally efficient solution is obtained to minimize the Chernoff bound on pairwise error probability (PEP). Simulation results show that the proposed scheme can converge to the solution fast, and the symbol error rate (SER) performance is close to that of the minimum SER upper-bound scheme with lower complexity. For both the cases of two transmit antennas and constant transmit-side correlation, it becomes an optimal precoder of minimizing SER upper-bound.