The Equivalence of Causal and Noncausal State Information on Bipartite Networks With State-Cognizant Receivers

Abstract

State-dependent bipartite networks with state-cognizant receivers and state-informed transmitters are studied. Such networks have no nodes that both transmit and receive. Examples are the multi-access channel, the broadcast channel, and the interference channel. Without computing the capacity region of the network, it is shown that if the state sequence is ergodic and autonomous, and if, conditionally on the state sequence, the network law is memoryless, then the network capacity region does not depend on whether the state information is provided to the encoders causally or noncausally.