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This paper addresses a coordinated direct and relay transmission (CDRT) network with a downlink non-orthogonal multiple access (NOMA) over Rayleigh fading channels. A Coordinated Direct and Relay Transmission network consists of a base station (BS), two downlink users (one near user and one far user or cell edge user), and a relay. The near user will receive its intended message directly from the BS, whereas the far user or cell edge user will access and be supported by a full-duplex (FD) decode and forward (DF) relay to receive its message. Since the paper considers a NOMA network, the near user will be allocated with a lower power and the far user will be allocated with a higher power to ensure user fairness. The first section of this study discusses the system model, signal models and associated signal-to-interference plus noise ratios (SINRs). The joint optimisation problem for maximising the …