Capacity bounds for large scale wireless ad hoc networks under Gaussian channel model

Xiang‐Yang Li, Shaojie Tang, Xufei Mao · 2009

We study the capacity for both random and arbitrary wireless networks under Gaussian Channel model when all wireless nodes have the same constant transmission power P. During the transmission, the power decays along path with attenuation exponent beta > 2. We consider extended networks, where n wireless nodes {v1, v2,hellip, vn} are randomly or arbitrarily distributed in a square region Bawith side-length a. We randomly choose nsmulticast sessions. For each source node vi, we randomly select k points pi,j(1 les j les k) in Baand the node which is closest to pi,jwill serve as a destination node of vi. We derive the achievable upper bounds on unicast capacity and an upper bound (partially achievable) on multicast capacity of the wireless networks under Gaussian Channel model. We found that the unicast (multicast) capacity for wireless networks under Gaussian Channel model has three regimes.

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