Achievable Rate Region Characterization of the MIMO Broadcast Channel with Channel Distribution Information

We investigate the multiple-input multiple-output broadcast channel with channel distribution information available at the transmitter. The so-called fading-paper model is considered with N_t transmit antennas, and each user having N_r receive antennas. Near-optimal designs are proposed for the inflation factor matrix under general fading conditions, based on maximizing the approximation of linear assignment capacity. It is proved that for N_t ≤ N_r, this matrix has a similar structure and achieves a similar interference elimination effect as dirty-paper coding. Also, low complexity iterative algorithms are proposed for N_t >; N_r case, which yield a good choice for the inflation factor matrix numerically. Based on the obtained inflation factor matrix, we provide efficient approaches to evaluate the linear assignment achievable rate region for some popular statistical channel models.