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The performance of distributed wireless communication systems is dictated by the system boundaries and the interference regimes. In this paper, we present a novel coverage and connectivity analysis of a wireless system within confined domains. Specifically, a system where the receiver connects to the nearest transmitter is analyzed. Using tools from stochastic geometry, we derive general expressions...
Recent research has demonstrated the importance of boundary effects on the overall connection probability of wireless networks but has largely focused on convex deployment regions. We consider here a scenario of practical importance to wireless communications, in which one or more nodes are located outside the convex space where the remaining nodes reside. We call these “external nodes” and assume...
We present an analysis of the probability that a set of devices capable of communicating wirelessly can form a fully connected, trusted network. The network model that is used accounts for the geometric properties of the physical network boundaries, the statistical nature of the propagation environment, and the notion that both trustworthy and untrustworthy devices may occupy the network domain. Two...
We consider the probability that a dense wireless network confined within a given convex geometry is fully connected. We exploit a recently reported theory to develop a systematic methodology for analytically characterizing the connectivity probability when the network resides within a convex right prism, a polyhedron that accurately models many geometries that can be found in practice. To maximize...
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