The Simultaneous Connectivity of Cognitive Networks

Michal Yemini; Anelia Somekh-Baruch; Reuven Cohen; Amir Leshem

doi:10.1109/TIT.2019.2927479

The Simultaneous Connectivity of Cognitive Networks

Michal Yemini, Anelia Somekh-Baruch, Reuven Cohen, Amir Leshem

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2 Scopus citations

Abstract

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.

Original language	American English
Article number	8758351
Pages (from-to)	6911-6930
Number of pages	20
Journal	IEEE Transactions on Information Theory
Volume	65
Issue number	11
DOIs	https://doi.org/10.1109/TIT.2019.2927479
State	Published - Nov 2019
Externally published	Yes

Bibliographical note

Funding Information:
Manuscript received October 2, 2017; revised November 13, 2018; accepted June 20, 2019. Date of publication July 9, 2019; date of current version October 18, 2019. This work was supported in part the by Israel Science Foundation (ISF) under Grant 903/2013 and Grant 1644/18, and in part by ISF-NRF under Grant 2277/16. This paper was presented in part at the 2016 IEEE International Symposium on Information Theory. M. Yemini is with the Faculty of Engineering, Stanford University, Stanford, CA 94305 USA (e-mail: yemini.michal@gmail.com). A. Somekh-Baruch and A. Leshem are with the Faculty of Engineering, Bar-Ilan University, Ramat Gan 52900, Israel (e-mail: somekha@biu.ac.il; leshem.amir2@gmail.com). R. Cohen is with the Department of Mathematics, Bar-Ilan University, Ramat Gan 52900, Israel (e-mail: reuven@math.biu.ac.il). Communicated by N. Devroye, Associate Editor for Communications. Color versions of one or more of the figures in this article are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIT.2019.2927479

Publisher Copyright:
© 1963-2012 IEEE.

Keywords

Cognitive radio
ad-hoc networks
heterogeneous networks
percolation
simultaneous connectivity

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title = "The Simultaneous Connectivity of Cognitive Networks",

abstract = "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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author = "Michal Yemini and Anelia Somekh-Baruch and Reuven Cohen and Amir Leshem",

note = "Funding Information: Manuscript received October 2, 2017; revised November 13, 2018; accepted June 20, 2019. Date of publication July 9, 2019; date of current version October 18, 2019. This work was supported in part the by Israel Science Foundation (ISF) under Grant 903/2013 and Grant 1644/18, and in part by ISF-NRF under Grant 2277/16. This paper was presented in part at the 2016 IEEE International Symposium on Information Theory. M. Yemini is with the Faculty of Engineering, Stanford University, Stanford, CA 94305 USA (e-mail: yemini.michal@gmail.com). A. Somekh-Baruch and A. Leshem are with the Faculty of Engineering, Bar-Ilan University, Ramat Gan 52900, Israel (e-mail: somekha@biu.ac.il; leshem.amir2@gmail.com). R. Cohen is with the Department of Mathematics, Bar-Ilan University, Ramat Gan 52900, Israel (e-mail: reuven@math.biu.ac.il). Communicated by N. Devroye, Associate Editor for Communications. Color versions of one or more of the figures in this article are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIT.2019.2927479 Publisher Copyright: {\textcopyright} 1963-2012 IEEE.",

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The Simultaneous Connectivity of Cognitive Networks

Abstract

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Keywords

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