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This paper considers a multi-pair two-way amplify-and-forward relayingsystem, where multiple pairs of full-duplex users are served via a full-duplexrelay with massive antennas, and the relay adopts maximum-ratiocombining/maximum-ratio transmission (MRC/MRT) processing. The orthogonal pilotscheme and the least square method are firstly exploited to estimate thechannel state information (CSI). When the number of relay antennas is finite,we derive an approximate sum rate expression which is shown to be a goodpredictor of the ergodic sum rate, especially in large number of antennas. Thenthe corresponding achievable rate expression is obtained by adopting anotherpilot scheme which estimates the composite CSI for each user pair to reduce thepilot overhead of channel estimation. We analyze the achievable rates of thetwo pilot schemes and then show the relative merits of the two methods.Furthermore, power allocation strategies for users and the relay are proposedbased on sum rate maximization and max-min fairness criterion, respectively.Finally, numerical results verify the accuracy of the analytical results andshow the performance gains achieved by the proposed power allocation.

Performance Analysis for Training-Based Multi-Pair Two-Way Full-Duplex Relaying with Massive Antennas