Abstract

In this paper, we study the channel allocation in multi-channel wireless ad hoc networks with directional antennas. In particular, we investigate the problem: given a set of wireless nodes equipped with directional antennas, how many channels are needed to ensure collision-free communications? We derive the upper bounds on the number of channels, which heavily depend on the node density and the interference ratio (i.e., the ratio of the interference range to the transmission range). We construct several scenarios to examine the tightness of the derived bounds. We also take the side-lobes and back-lobes as well as the signal path loss into our analysis. Our results can be used to estimate the number of channels required for a practical wireless network (e.g., wireless sensor network) with directional antennas.

Highlights

  • With the proliferation of various wireless devices and wireless communication services, the demand for wireless spectrum is constantly increasing and the available wireless spectrum becomes scarce.the study on the effective and sufficient channel allocation schemes of the wireless spectrum has received extensive attention from both academia and industry

  • Many previous studies are focused on using multiple channels in wireless networks with omni-directional antennas, which have high interference

  • There are few studies considering multiple channels in wireless networks with directional antennas, which can lead to low interference

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Summary

Introduction

With the proliferation of various wireless devices and wireless communication services, the demand for wireless spectrum is constantly increasing and the available wireless spectrum becomes scarce. Most of the current studies on the channel allocation schemes are focused on wireless ad hoc networks with omni-directional antennas (OMN), which radiate wireless signals in all directions and lead to high interference to other concurrent transmissions. An omni-directional antenna has low spectrum reuse We call such wireless ad hoc networks with omni-directional antennas as OMN networks. A directional antenna can improve the spectrum reuse and improve the network performance It is shown in [1,2] that using directional antennas in WSNs can significantly improve the network capacity and reduce the end-to-end delay. We name such wireless networks with directional antennas as DIR networks. We study the channel allocation of DIR networks. s In the following, we first survey the related work and summarize our research contributions

Related Work
Contributions
Models and Problem Formulation
Antenna Model
Interference Model
Definitions and Problem Formulation
Conflict Graph
Background Results
Upper Bounds on the Number of Channels
Tightness of the Upper Bounds
Discussions and Implications
Antenna Model with Side-Lobes and Back-Lobes
Omni-Directional Antenna
Directional Antenna
Physical Channel Model
Conclusions

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