Multicast Throughput of Hybrid Wireless Networks Under Gaussian Channel Model

We study the multicast capacity for hybrid wireless networks consisting of ordinary wireless nodes and base stations under Gaussian Channel model, which generalizes both the unicast capacity and broadcast capacity for hybrid wireless networks. We simply consider the hybrid extended network, where the ordinary wireless nodes are placed in the square region An with side-length sqrt n according to a Poisson point process  with unit intensity. In addition, $m$ additional base stations (BSs) serving as the relay gateway are placed regularly in the region An and they are connected by a high-bandwidth wired network. Three broad categories of multicast strategies are proposed in this paper. According to the different scenarios in terms of m, n and n_d, we select the optimal scheme from the three categories of strategies, and derive the achievable multicast throughput based on the optimal decision.