The impact of the topology on the throughput of interference-limited sensor networks with Rayleigh fading
Xiaowen Liu, Martin Haenggi · 2005
Abstract — In this paper, we present closed-form ex-pressions of the average per-node throughput for sensor networks with a slotted ALOHA MAC protocol in Rayleigh fading channels. We compare networks with three regular topologies in terms of per-node throughput, transmit efficiency, and transport capacity. In particular, for square lattice networks, we present an analysis of the dependence of the maximum throughput and optimum transmit proba-bility on the signal-to-interference-ratio threshold required for successful reception. For random networks with nodes distributed according to a two-dimensional Poisson point process, the average per-node throughput is analytically characterized and numerically evaluated. It turns out that although regular networks have an only slightly higher per-node throughput than random networks for the same link distance, regular topologies have a significant benefit when the end-to-end throughput in multihop connections is considered. I.