Optimal Power Allocation Between Unicast and Multicast Messages in Wireless Relay-Multicasting Networks Using Superposition Coding

This letter deals with optimal power allocation between unicast and multicast messages in a wireless relay multicasting network using superposition coding. A so-called multicast-balancing solution is provided and proved to be optimal, which maximizes the sum of data rates received at multiple destinations. And its optimality is also verified by numerical investigation. The proposed solution is a generalized version of the unicast-balancing solution that is optimal for a wireless relay system with only a single destination.