Outage probability analysis for multiple input-multiple output ad-hoc network with quantised beamforming

In this study, exact closed-form expressions are derived for sum throughput/capacity and outage probability for multiple input-multiple output (MIMO) ad-hoc network with quantised beamforming and finite-rate feedback. In quantised beamforming, each receiver sends the label of the best beamforming vector obtained from the codebook to the transmitter through a finite rate limited feedback. The code book is shared between each transmitter-receiver pair to prevent decoding of other user´s information in a MIMO ad-hoc network comprising of K simultaneous communicating transceiver pairs with each receiver employing single-user detection. In such a practical environment, feedback links can only convey a finite number of bits, from which transmit beamformer designs are investigated using either the outage probability or average signal to interference noise ratio (SINR) as the figure of merit. Hence, by deriving closed-form expressions for outage probability and network sum throughput interesting insights in the high-SINR regimes are provided. In lieu of validating the obtained simulation results, the theoretical results have also been compared.