I. Introduction
The Multiple Access Multiple Relay Channel (MAMRC), denoted by -MAMRC, is a model for network topologies where independent sources (or users) communicate with a single destination in the presence of dedicated relays. This channel model could be seen as a generalization of the relay channel and the multiple access relay channel. In this letter, we consider a restrictive version of MAMRC, namely slow-fading half-duplex time-slotted Orthogonal MAMRC (OMAMRC) where the multiple access is orthogonal (TDMA), transmission is scheduled in consecutive slots, links are subject to slow fading, relays operate in half-duplex mode, and apply a Selective Decode-and-Forward (SDF) cooperative strategy. An SDF relay tries to decode the sources and forwards a function of the successfully decoded ones (based on Cyclic Redundancy Check (CRC) codes inserted in the sources’ packets). SDF has several advantages: (1) It prevents decoding error propagation from the relays to the destination; (2) It reduces the energy consumption at the relays and the level of interference in the network; (3) It provides a power gain compared to Non-Selective Decode-and-Forward (NSDF), where the relay cooperates only if it successfully decodes all the sources. In theory, there is no difficulty for a receiving node to know which sources are involved in the transmitted relay signal, since it can review all possible combinations and choose the one leading to the highest likelihood (under maximum likelihood decoding). In practice, SDF often relies on specific SDF forward coordination control channels (additional coordination bits embedded in relays’ transmission) to reduce the decoding complexity of the receiving nodes.