Outage achievable rate analysis for the Non Orthogonal Multiple Access Multiple Relay Channel

In this paper, we derive the individual and common symmetric ε-outage achievable rate for the relay assisted cooperative communication scheme, coined Non Orthogonal Multiple Access Multiple Relay Channel (NOMAMRC), defined as follows: (1) The sources are independent and want to communicate with a single destination with the help of multiple relays; (2) Each relay is half-duplex and apply a Selective Decode and Forward (SDF) strategy, i.e., it forwards only a deterministic function of the error-free decoded messages; (3) The sources are allowed to transmit simultaneously during both the listening and transmission phases of the relays. In this paper, the links are independent. No channel state information at transmitter is available, each link follows a slow Rayleigh fading distribution.