Cooperative relay communication techniques, which form the virtual MIMO systems through cooperation among different nodes, have been attracted more attentions. This paper provides an overview of state-of-the-art capacity for cooperative relay networks. Firstly, it introduces backgrounds, basic model and working mode of cooperative relay networks. Then, the capacity of amplify-and-forward (AF) dual-hop fading channel is summarized, and the two-way AF single-relay fading channel capacity and power allocation criterions are discussed. Finally, it states the main research results for the performance of the relay selection algorithms in the two-way multiple relay, and proposes the future research directions.
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