An Analytical Model of Packet Collisions in IEEE 802.15.4 Wireless Networks
Abstract
Numerous studies showed that concurrent transmissions can boost wireless network performance despite collisions. While these works provide empirical evidence that concurrent transmissions may be received reliably, existing signal capture models only partially explain the root causes of this phenomenon. We present a comprehensive mathematical model that reveals the reasons and provides insights on the key parameters affecting the performance of MSK-modulated transmissions. A major contribution is a closed-form derivation of the receiver bit decision variable for arbitrary numbers of colliding signals and constellations of power ratios, timing offsets, and carrier phase offsets. We systematically explore the root causes for successful packet delivery under concurrent transmissions across the whole parameter space of the model. We confirm the capture threshold behavior observed in previous studies but also reveal new insights relevant for the design of optimal protocols: We identify capture zones depending not only on the signal power ratio but also on time and phase offsets.
Keywords
Cite
@article{arxiv.1309.4978,
title = {An Analytical Model of Packet Collisions in IEEE 802.15.4 Wireless Networks},
author = {Matthias Wilhelm and Vincent Lenders and Jens B. Schmitt},
journal= {arXiv preprint arXiv:1309.4978},
year = {2014}
}
Comments
Accepted for publication in the IEEE Transactions on Wireless Communications under the title "On the Reception of Concurrent Transmissions in Wireless Sensor Networks."