On Characterization of Feasible Interference Regions in Cognitive Radio Networks
Mehdi Monemi, Mehdi Rasti, and Ekram Hossain

TL;DR
This paper characterizes the feasible cognitive interference region in cognitive radio networks, revealing it as a polyhedron rather than a box, and proposes power control algorithms that outperform existing schemes.
Contribution
It introduces a novel characterization of the interference region as a polyhedron and develops improved power control algorithms for interference management.
Findings
The feasible interference region is a polyhedron, not a box.
Power control algorithms outperform existing methods.
Proposed schemes maximize admitted SUs and throughput.
Abstract
In the state-of-the-art interference management schemes for underlay CRNs, it is considered that all PUs are protected if the cognitive interference for each primary receiving-point is lower than a maximum threshold, the so called interference temperature limit (ITL) for the corresponding receiving-point. This is assumed to be fixed and independent of ITL values for other primary receiving-points, which corresponds to a box-like FCIR. In this paper, we characterize the FCIR for {\em uplink} transmissions in cellular CRNs and for direct transmissions in ad-hoc CRNs. We show that the FCIR is in fact a polyhedron (i.e., the maximum feasible cognitive interference threshold for each primary receiving-point is not a constant, and it depends on that for the other primary receiving-points). Therefore, in practical interference management algorithms, it is not proper to consider a constant and…
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