Abstract

We consider a multi-pair multi-antenna relay system, delivering data from multi-sources to their destinations simultaneously with the help of a massive antenna relay. We analyze the spectral efficiency and power scaling laws under perfect and imperfect channel state information (CSI) for zero-forcing relay beamforming. The analysis shows that the transmit power can be scaled down by $1/M^{\alpha}$ at the users and by $1/M^{\beta}$ at the relay as the number $M$ of relay antennas increases, where $(\alpha,\beta)=(t,1)$ or $(1,t)$ for $0\leq t\leq 1$ in the case of perfect CSI and $(\alpha,\beta)=(t,1-t)$ or $(1/2,t)$ for $0\leq t\leq 1/2$ in the case of imperfect CSI.

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