Multiple antenna systems with finite rate feedback

The performance of multiple antenna systems can be greatly improved by making the channel state information (CSI) available at the transmitter. In practice, therefore, a finite-rate feedback link is employed to convey a quantized version of the CSI to the transmitter. This semi-tutorial paper summarizes some of the recent work on the design and analysis of multiple antenna systems with finite rate feedback. In particular, we discuss appropriate criteria for the design of quantizers for feedback-based communication systems along with corresponding algorithms for codebook generation. Finally, we qualitatively show how the classical source coding theory can be extended to analyze the performance of finite rate feedback-based multiple antenna systems