Practical codebook design for limited feedback spatial multiplexing

Codebook design for limited feedback Spatial Multiplexing commonly relies on the assumption of i.i.d. Rayleigh fading. It is well known that realistic MIMO channels may exhibit large correlation and/or dominant components and that antennas could be dual-polarized. Hence there is much appeal to come up with design criteria that can cope with such a large distribution of propagation conditions. In this paper, efficient ways to design high-performance and low-complexity codebooks for limited feedback-based Spatial Multiplexing evolving in various environments are provided. In particular, new design criteria are derived for transmit correlated and dual-polarized scenarios. Some of the codebook structures derived in this paper are components of the codebooks accepted in 3GPP LTE. Simulation examples are provided to confirm the proposed criteria.