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This paper presents an analytical study on the outage performance of Amplify-and-Forward (AF) two-way relay system with multi-antenna Relay Node (RN). Two major bidirectional protocols, i.e., two time slots Multiple Access BroadCast (MABC) protocol and three time slots Time Division BroadCast (TDBC) protocol, are considered. For both considerations, the authors first assume that instantaneous Channel-State-Information (CSI) is unavailable at RN, thus RN just simply uses the fixed relay gain derived from statistical CSI to scale the received signals before forwarding. They then consider the scenario where RN can obtain the instantaneous CSI to perform the Zero-Forcing (ZF) relay precoding.
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