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A subspace coding approach to MIMO compound broadcast channel

In this paper, we review some results on the multiplexing gain of of the sum rate of the Gaussian multi-antenna compound broadcast channel in the high SNR regime. The transmitter transmits to each user one private message. The channel realization for each user is arbitrarily chosen from a finite set known to the transmitter. To achieve the multiplexing gain region of the channel, we discuss the methods of interference alignment and subspace coding. We interpret the interference alignment scheme for compound MIMO broadcast channel as a special case of subspace coding. We also point out that the subspace coding method could be applied in wireless multihop network to improve the efficiency of intra-cluster broadcasting.