Abstract

In this paper, we study the connectivity of cognitive radio ad-hoc networks (CRAHNs) where primary users (PUs) and secondary users (SUs) are randomly distributed in a given area following a homogeneous Poisson process. Moreover, for the sake of more realistic CRAHNs, contrary to previous works in the literature, we consider the case that primary network is comprised of multiple communication pairs which are spatial-temporal distributed in the network area. We also take into consideration the differences in transmission range and interference range of both PUs and SUs. The connectivity of such CRAHN is studied from three viewpoints. First, we mathematically analyze the probability of isolated secondary transmitter and secondary receiver. Second, we derive the approximation expression of the link probability between two adjacent SUs. Third, we investigate the path connectivity between two arbitrary SUs by using the simulation analysis approach. The correctness of our mathematical expressions is confirmed by comparing analytical results with simulation results. The results in this paper provide insights into how multiple communication pairs in primary network affect the connectivity of secondary network, which can be useful guidelines for the design of CRAHNs.

Highlights

  • In recent years, technological advances together with the demand for efficient and flexible networks have led to the development of wireless ad-hoc networks (AHNs)

  • The results in this paper provide insights into how multiple communication pairs in primary network affect the connectivity of secondary network, which can be useful guidelines for the design of cognitive radio ad-hoc networks (CRAHNs)

  • In [17], the authors investigated the probability of node isolation of secondary users (SUs) in CRAHNs where both primary users (PUs) and SUs are equipped with the approximated directional antenna model called sector antenna

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Summary

Introduction

Technological advances together with the demand for efficient and flexible networks have led to the development of wireless ad-hoc networks (AHNs). Investigating on the connectivity of CRAHNs is a challenging issue compared with that of AHNs due to the influence of varying spectrum availability caused by the random locations and activeness of PUs. The reachability between two SUs depends on the distance between them and on the availability of communication channels. In [17], the authors investigated the probability of node isolation of SU in CRAHNs where both PUs and SUs are equipped with the approximated directional antenna model called sector antenna. It was shown that the probability of node isolation is improved compared with conventional CRAHNs using omnidirectional antennas due to the reduced PU-to-SU interference and the extended transmission range.

Spatial Node Distribution
Primary Network
Secondary Network
Connectivity Analysis
Probability of Isolated Secondary User
Link Connectivity between Two Adjacent Secondary Users
Path Probability between Two Arbitrary Secondary Users
Numerical Results
Conclusions
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