A non-linear transmission scheme for the K-user broadcast channel with state feedback

The state-dependent K-User Broadcast Channel (BC) with memoryless state feedback is investigated. We pro-pose a novel transmission scheme and derive its corresponding achievable rate region, which, compared to some general schemes that deal with feedback, has the advantage of being simple and thus easy to evaluate. In particular, it is first shown that this scheme achieves the capacity of the Symmetric Erasure BC with an arbitrary size of input alphabet. Then, we further study the Fading Gaussian BC and derive a symmetric achievable rate. Besides achieving the optimal degrees of freedom, numerical results show that the proposed scheme attains higher rates than the previous schemes at finite SNR.