The capacity of wireless networks
IEEE Transactions on Information Theory
Achievable rates in cognitive radio channels
IEEE Transactions on Information Theory
Closing the Gap in the Capacity of Wireless Networks Via Percolation Theory
IEEE Transactions on Information Theory
Hierarchical Cooperation Achieves Optimal Capacity Scaling in Ad Hoc Networks
IEEE Transactions on Information Theory
Limits on communications in a cognitive radio channel
IEEE Communications Magazine
Capacity of ad hoc wireless networks with infrastructure support
IEEE Journal on Selected Areas in Communications
Capacity limits of cognitive radio with distributed and dynamic spectral activity
IEEE Journal on Selected Areas in Communications
Delay-throughput tradeoff for supportive two-tier networks
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Multicast throughput for large scale cognitive networks
Wireless Networks
Scaling laws for overlaid wireless networks: a cognitive radio network versus a primary network
IEEE/ACM Transactions on Networking (TON)
Dual band connectivity of cognitive radio networks
Proceedings of the 4th International Conference on Cognitive Radio and Advanced Spectrum Management
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We study two distinct, but overlapping, networks which operate at the same time, space and frequency. The first network consists of n randomly distributed primary users, which form either an ad hoc network, or an infrastructure-supported ad hoc network in which l additional base stations support the primary users. The second network consists of m randomly distributed secondary or cognitive users. The primary users have priority access to the spectrum and do not change their communication protocol in the presence of secondary users. The secondary users, however, need to adjust their protocol based on knowledge about the locations of the primary users so as not to harm the primary network's scaling law. Base on percolation theory, we show that surprisingly, when the secondary network is denser than the primary network, both networks can simultaneously achieve the same throughput scaling as a stand-alone ad hoc network.