Abstract
We study the asymptotic networking-theoretic multicast capacity bounds for random extended networks (REN) under Gaussian channel model, in which all wireless nodes are individually power-constrained. During the transmission, the power decays along path with attenuation exponent α >; 2. In REN, n nodes are randomly distributed in the square region of side length √n. There are ns randomly and independently chosen multicast sessions. Each multicast session has nd + 1 randomly chosen terminals, including one source and nd destinations. By effectively combining two types of routing and scheduling strategies, we analyze the asymptotic achievable throughput for all ns = ω(1) and nd. As a special case of our results, we show that for ns = Θ(n), the per-session multicast capacity for REN is of order Θ(1/√ndn) when nd = O(n/(log n)a+1) and is of order Θ(1/nd · (log n)-n/2) when nd = Ω(n/log n).
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