Capacity region of broadcast channels with private message and causal side information

Abstract

The model of broadcast channels with private message and causal side information is from Shannon's work on channels with causal side information at the encoder and the model of broadcast channels with private messages, which is provided by Csiszár and Körner. In the new model, the conditional transition probability distributions of the channels for two receivers are controlled by two kinds of channel state information(side information), respectively, and they are available at the transmitter in a causal manner. The main result of this paper is the determination of the capacity region, which is about the transmission rate and equivocation.