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A multi-link communication connectivity game under hostile interference

A multi-link communication connectivity game under hostile interference

Authors: Andrey Garnaev, Wade Trappe, Narayan B. Mandayam, H.Vincent Poor
Status: Final
Date of publication: 12 April 2021
Published in: ITU Journal on Future and Evolving Technologies, Volume 2 (2021), Issue 1, Pages 101-112
Article DOI : https://doi.org/10.52953/SWHP5412
Abstract:
In this paper, we consider a communication connectivity problem involving a primary user (transmitter, for example, a Ground Control Station (GCS)) servicing a group of secondary users (receivers, for example, drones) under hostile interference. We formulate this multi-link communication connectivity problem, where the channels are affected by Rayleigh fading, as a zero-sum power resource allocation game between a transmitter and an adversary (jammer). The transmitter's objective is to maximize the probability of communication connectivity with all the receivers. It is proven that the problem has unique equilibrium in power allocation strategies, and the equilibrium is derived in closed form. Moreover, we reduce the problem of designing the equilibrium in power resource allocation strategies to the problem of finding a fixed point of a real-valued function. An algorithm based on the bisection method to find the fixed point (and so equilibrium strategies) is developed, and its convergence is proven.

Keywords: Communication connectivity, interference, jamming, Nash equilibrium, resource allocation
Rights: © International Telecommunication Union, available under the CC BY-NC-ND 3.0 IGO license.
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