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Entropy 2018, 20(4), 267; https://doi.org/10.3390/e20040267

Nash Bargaining Game-Theoretic Framework for Power Control in Distributed Multiple-Radar Architecture Underlying Wireless Communication System

1,†
,
1,†,* , 2,†
,
1,†
and
3,†
1
Key Laboratory of Radar Imaging and Microwave Photonics, Ministry of Education, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2
School of Engineering and Computing Sciences, Durham University, Durham DH1 3DE, UK
3
College of Computer and Information Engineering, Henan University, Kaifeng 475004, China
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 31 January 2018 / Revised: 29 March 2018 / Accepted: 6 April 2018 / Published: 11 April 2018
(This article belongs to the Special Issue Information Theory in Game Theory)
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Abstract

This paper presents a novel Nash bargaining solution (NBS)-based cooperative game-theoretic framework for power control in a distributed multiple-radar architecture underlying a wireless communication system. Our primary objective is to minimize the total power consumption of the distributed multiple-radar system (DMRS) with the protection of wireless communication user’s transmission, while guaranteeing each radar’s target detection requirement. A unified cooperative game-theoretic framework is proposed for the optimization problem, where interference power constraints (IPCs) are imposed to protect the communication user’s transmission, and a minimum signal-to-interference-plus-noise ratio (SINR) requirement is employed to provide reliable target detection for each radar. The existence, uniqueness and fairness of the NBS to this cooperative game are proven. An iterative Nash bargaining power control algorithm with low computational complexity and fast convergence is developed and is shown to converge to a Pareto-optimal equilibrium for the cooperative game model. Numerical simulations and analyses are further presented to highlight the advantages and testify to the efficiency of our proposed cooperative game algorithm. It is demonstrated that the distributed algorithm is effective for power control and could protect the communication system with limited implementation overhead. View Full-Text
Keywords: cooperative game; Nash bargaining solution; power control; interference power constraint; signal-to-interference-plus-noise ratio; distributed multiple-radar system cooperative game; Nash bargaining solution; power control; interference power constraint; signal-to-interference-plus-noise ratio; distributed multiple-radar system
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Shi, C.; Wang, F.; Salous, S.; Zhou, J.; Hu, Z. Nash Bargaining Game-Theoretic Framework for Power Control in Distributed Multiple-Radar Architecture Underlying Wireless Communication System. Entropy 2018, 20, 267.

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