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Interference-constrained coverage algorithms in the protocol and SINR models

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Abstract

A wireless network’s design must include the optimization of the area of coverage of its wireless transmitters—mobile and base stations in cellular networks, wireless access points in WLANs, or nodes on a transmit schedule in a wireless ad-hoc network. Furthermore, with increasing densities of wireless network deployments, paucity of spectrum, and new developments like whitespace devices and cognitive networks, there is a need to study the computational efficiency of managing interference and optimizing coverage. This work presents new algorithms for computing and optimizing interference-limited coverage of wireless networks under protocol and Signal-to-Interference-and-Noise Ratio (SINR) models. For the protocol model we demonstrate lower bounds on computation of the coverage area for an \(n\) transmitter topology. We first show that any offline computation has a run-time of \(\varOmega (n\log {n})\), and any dynamic update takes \(\varOmega (\log {n})\) time to locate transmitters whose coverage is modified and \(\varOmega (k)\) time to update \(k\) affected coverage regions. We then demonstrate an extension of an offline algorithm to a dynamic algorithm that achieves the lower bound. For coverage in the SINR model, we demonstrate the difficulty of geometric direct computation, and report a flexible coverage area estimation method. We then propose a Random Hill Climbing method for optimizing the coverage area measure, and demonstrate the efficacy of this method by experimental comparison with the Nelder–Mead and exhaustive search optimization methods.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, IIT, Bombay, India

    Prateek Kapadia & Om Damani

  2. Department of Electrical Engineering, IIT, Bombay, India

    Animesh Kumar

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  1. Prateek Kapadia
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  2. Om Damani
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  3. Animesh Kumar
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Correspondence to Prateek Kapadia.

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Kapadia, P., Damani, O. & Kumar, A. Interference-constrained coverage algorithms in the protocol and SINR models. Wireless Netw 21, 1391–1409 (2015). https://doi.org/10.1007/s11276-014-0832-9

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  • DOI: https://doi.org/10.1007/s11276-014-0832-9

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