In this work the performance of the downlink non-orthogonal multiple access (NOMA) technique is investigated for two users, that is, cell centre user (user c) and cell edge user (user e). The performance of these users is highly dependent on the power split among the data flows and the associated power allocation (PA) problem. In this research we propose a power allocation scheme that ensures fairness for the downlink users ensuring improved quality of service (QoS). The system is analysed based on outage probability which is dependent on the channel state information (CSI) and is compared to the fixed power allocation scheme. The simulation results demonstrate the improvement in performance of the users when dynamic allocation is used as compared to the fixed power allocation scheme

Keywords : NOMA, 5G, Power allocation, Outage probability.