4.5 Article

The Simultaneous Connectivity of Cognitive Networks

Journal

IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 65, Issue 11, Pages 6911-6930

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2019.2927479

Keywords

Cognitive radio; simultaneous connectivity; heterogeneous networks; percolation; ad-hoc networks

Funding

  1. Israel Science Foundation (ISF) [903/2013, 1644/18]
  2. ISF-NRF [2277/16]

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In this paper, we consider the simultaneous connectivity of primary and secondary networks forming a cognitive model. It is assumed that the cognitive model includes guard zones that prevent the nodes of the secondary network from being active in the vicinity of primary nodes to limit interference. Under these assumptions, we characterize the region of densities, the transmission radii of the nodes in each of the networks, and the guard zones for which the two networks have a unique unbounded connected component. We prove that this model is feasible, that is, there exists simultaneous connectivity with the unique unbounded connected component in each of the networks. We also provide necessary and sufficient conditions for the simultaneous connectivity of this cognitive model.

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