Closing the gap in the multicast capacity of hybrid wireless networks
Shaojie Tang, Xufei Mao, Taeho Jung, Junze Han, Xiang‐Yang Li, Boliu Xu, Chao Ma · 2012
We study the multicast capacity of a random wireless network consisting of n randomly placed ordinary wireless nodes and m regularly placed base stations in a square region, known as a hybrid network. All ordinary wireless nodes have the uniform transmission range r and uniform interference range R=θ(r) and they can transmit/receive at Wa-bps. Each base station can communicate with adjacent base stations directly with a data rate WB-bps and the data transmission rate between a base station and a wireless node is assumed to be Wc-bps. Assume that there is a random set of ns ordinary wireless nodes that will serve as the source nodes of ns multicast flows (each has randomly selected k-1 receivers). Each flow will have data rate λi bps. We found that the minimum per-flow multicast capacity min n s over i = 1 λi for hybrid networks has three regimes, and for each regime we derive matching asymptotic upper and lower bounds. Thus it closes the gap of previous results in the literature.