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