Deterministic capacity modeling for cellular channels: building blocks, approximate regions, and optimal transmission strategies

One of the tools that arised in the context of capacity approximations is the linear deterministic model (LDM), which aims at approximating the physical channel by a deterministic bit vector mapping. In this paper, we give a brief review of the LDM and the corresponding models for some of the basic network building blocks. We then go on to demonstrate how the LDM can be applied to a two-user multiple access channel mutually interfering with a point to point link. This constitutes a basic model for a cellular channel and also for the situation of device-to-device communication inside a cell. We give the capacity region for weak interference, the sum capacity for arbitrary interference and apply the results to the Gaussian channel in order to obtain a lower bound on the achievable generalized degrees of freedom in the system.