On the Joint Impact of Beamwidth and Orientation Error on Throughput in Directional Wireless Poisson Networks
Abstract
We introduce a model for capturing the effects of beam misdirection on coverage and throughput in a directional wireless network using stochastic geometry. In networks employing ideal sector antennas without sidelobes, we find that concavity of the orientation error distribution is sufficient to prove monotonicity and quasi-concavity (both with respect to antenna beamwidth) of spatial throughput and transmission capacity, respectively. Additionally, we identify network conditions that produce opposite extremal choices in beamwidth (absolutely directed versus omni-directional) that maximize the two related throughput metrics. We conclude our paper with a numerical exploration of the relationship between mean orientation error, throughput-maximizing beamwidths, and maximum throughput, across radiation patterns of varied complexity.
Keywords
Cite
@article{arxiv.1312.6057,
title = {On the Joint Impact of Beamwidth and Orientation Error on Throughput in Directional Wireless Poisson Networks},
author = {Jeffrey Wildman and Pedro H J Nardelli and Matti Latva-aho and Steven Weber},
journal= {arXiv preprint arXiv:1312.6057},
year = {2015}
}
Comments
14 pages, 9 figures. Submitted on 2013-12-20 to IEEE Transactions on Wireless Communications. Accepted on 2014-06-03 to IEEE Transactions on Wireless Communications