Multicasting messages over Gaussian broadcast channels with receiver message side information

The problem of multicasting multi-messages over Gaussian broadcast channels with receiver message side information is investigated for K = 3 receivers. The problem generalizes various broadcasting scenarios where the receivers have some message side information, including broadcasting with common message. Based on rate splitting, network coding and Gelfand-Pinsker coding, a successive coding scheme is proposed, such that the network coded messages are successively decoded while the interference from previous decoded messages are simultaneously canceled at receivers. The optimal decoding order and power-rate allocation for maximizing the weighted sum-rate is derived. An outer bound of the capacity region is also established.