Abstract
In this paper, we characterize the performance metrics of a multiuser multipolarized antenna system in a Rayleigh fading channel. We start by formulating a downlink system model that features a multiuser scenario in the presence of additive noise and a multipolarized antenna system; this is followed by evaluation of the outage probability in closed form. This is done by deriving the cumulative distribution function (CDF) of the signal-to-interference-plusnoise ratio using the approach of the ratio of indefinite quadratic forms. We thereby characterize the gradient of this CDF with respect to the combining vectors. Eventually, we obtain the optimum combining vectors by minimizing the outage probability via interior-point optimization technique. Simulation and theoretical results of our analysis are closely matched, which validates our analysis. Our findings suggest that the performance of the triple polarized antenna is better than that of the dual polarized antenna system for low signal-to-noise ratio (SNR) values in terms of outage probability; this situation, however, reverses for high SNR value.
Highlights
Multiple-input multiple-output (MIMO) systems often employ polarization diversity to increase spectral efficiency and link reliability in wireless communication systems
The authors in [12] proposed a spatial division multiple access scheme by utilizing dual polarized (DP) antenna arrays at the base station (BS) for a massive MIMO system operating in a 3D scenario and the results revealed that the proposed scheme increases the throughput of the system by utilizing DP antennas when compared to single polarized antennas
The authors in [2] investigated the performance of DP and triple polarized (TP) antenna systems based on experimental results for channel capacity
Summary
Multiple-input multiple-output (MIMO) systems often employ polarization diversity to increase spectral efficiency and link reliability in wireless communication systems. The authors in [7] provided a comparison of several multipolarized MIMO models and presented some useful results in terms of channel capacity. The authors in [2] investigated the performance of DP and TP antenna systems based on experimental results for channel capacity They used a simulation setup in their investigation to compare the experimental work and did not provide a closedform expression. (1) Providing a closed-form solution of OP in a multiuser multipolarized antenna system in a downlink scenario without considering CSI at the transmitter. In our case, we consider a blind technique that requires only statistical CSI (instead of instantaneous CSI) to design the optimum combiner at the receiver The notations ( )∗ and ( )H represent the conjugate and conjugate transposition, respectively, and E{.}denotes expectation and Tr(.) represents the trace operator
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