On the minimum node degree and connectivity of a wireless multihop network
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
Impact of interferences on connectivity in ad hoc networks
IEEE/ACM Transactions on Networking (TON)
Connectivity of cognitive radio networks: proximity vs. opportunity
Proceedings of the 2009 ACM workshop on Cognitive radio networks
Measuring the connectivity of a cognitive radio ad-hoc network
IEEE Communications Letters
Connectivity properties of a packet radio network model
IEEE Transactions on Information Theory
On the Connectivity and Multihop Delay of Ad Hoc Cognitive Radio Networks
IEEE Journal on Selected Areas in Communications
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In an ad hoc cognitive radio network, secondary users access channels temporarily unused by primary users, and the existence of a communication link between two secondary users depends on the transmitting and receiving activities of nearby primary users. Using theories and techniques from continuum percolation and ergodicity, we analytically characterize the connectivity of the secondary network defined in terms of the almost sure finiteness of the multihop delay, and show the occurrence of a phase transition phenomenon while studying the impact of the temporal dynamics of the primary traffic on the connectivity of the secondary network. Specifically, as long as the primary traffic has some temporal dynamics caused by either mobility and/or changes in traffic load and pattern, the connectivity of the secondary network depends solely on its own density and is independent of the primary traffic; otherwise, the connectivity of the secondary network requires putting a density-dependent cap on the primary traffic load. We show that the scaling behavior of the multihop delay depends critically on whether or not the secondary network is instantaneously connected. In particular, we establish the scaling law of the minimum multihop delay with respect to the source–destination distance when the propagation delay is negligible.