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In this paper, we provide a closed-form approximation of the Full-duplexSimultaneous wireless information and power transfer (SWIPT) multi-user MIMO(MU-MIMO) system signal-to-interference-and-noise ratio (SINR) distribution forthe received signal at the sensor users with perfect and imperfect channelstate information (CSI) and transmit antenna selection scheme at thetransmitter. We also studied the SINR distribution of the uplink withZero-Forcing beamforming (ZFBF) and antenna selection at the aggregator (AGG)receiver with transmit antenna selection. The downlink SINR with perfect andimperfect CSI is modeled by a multivariate Beta type II distribution and theuplink with perfect and imperfect CSI is modeled with multivariate Wishartdistributions. We compared the proposed distributions analytical results to theMonte-Carlo simulations and we obtained a perfect match.

On the SINR Distribution of SWIPT MU-MIMO with Antenna Selection