State-dependent degraded broadcast channels with non-causal encoder side information

Abstract

State dependent channels are used to model communication scenarios where the channel law is controlled by an external state process, for instance, wireless fading channels. Multi-user extensions of state dependent models have received considerable attention in the information theory literature. However, a complete characterization of the capacity region is unknown in most scenarios. In this paper, we consider a discrete memoryless state dependent broadcast channel, where the state process is non-causally known at the encoder. We present inner and outer bounds on the capacity region of this setup. We also give a partial characterization of the boundary of the capacity region that is tight in certain cases.