Rate region for deterministic multiple access relay channel

Recently, a network equivalence theory has been proposed by Koetter et al. to model the behavior of wireless and noisy wireline network components in terms of noiseless wireline models in combinatorial essence. Meanwhile the truncated deterministic model is proposed by Avestimehr et al. to approximate Gaussian relay network. In this paper, we utilize the deterministic approximation to model Multiple Access Relay Channel (MARC), gives the admissible rate regions for deterministic MARC (D-MARC) and designs simplified transmission schemes for MARC. Moreover, by allowing source cooperation, we give an algebraic formulation with non-fixed adjacency matrix to guarantee an proper code construction for DMARC and interpret the set of demands by an efficient deterministic transmission. Results in this paper can be extended to more complicated equivalent networks by seeing MARC as a component network.