Non-Cooperative Game Theoretic Power Allocation Strategy for Distributed Multiple-Radar Architecture in a Spectrum Sharing Environment

This paper investigates the problem of non-cooperative game theoretic power allocation (NGTPA) for distributed multiple-radar architectures in a spectrum sharing environment, where multiple radars coexist with a communication system in the same frequency band. The primary objective of the multiple-r...

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Main Authors: Chenguang Shi, Fei Wang, Mathini Sellathurai, Jianjiang Zhou
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8320764/
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author Chenguang Shi
Fei Wang
Mathini Sellathurai
Jianjiang Zhou
author_facet Chenguang Shi
Fei Wang
Mathini Sellathurai
Jianjiang Zhou
author_sort Chenguang Shi
collection DOAJ
description This paper investigates the problem of non-cooperative game theoretic power allocation (NGTPA) for distributed multiple-radar architectures in a spectrum sharing environment, where multiple radars coexist with a communication system in the same frequency band. The primary objective of the multiple-radar system is to minimize the power consumption of each radar by optimizing the transmission power allocation, which is constrained by a predefined signal-to-interference-plus-noise ratio requirement for target detection and a maximum interference tolerant limit for communication system. Since each radar is rational and selfish to maximize its own utility, we utilize the non-cooperative game theoretic technique to tackle the distributed power allocation problem. Taking into consideration the target detection performance and received interference power at the communication receiver, a novel utility function is defined and employed as the optimization criterion for the NGTPA strategy. Furthermore, the existence and uniqueness of the proposed game's Nash equilibrium point are analytically proved. An iterative power allocation algorithm with low computational complexity and fast convergence is developed, where the optimal value of each radar's transmission power is simultaneously updated at the same time step. Numerical simulations are provided to verify the analysis and evaluate the performance of the proposed strategy as a function of the system parameters. It is shown that the distributed algorithm is effective for power allocation and could protect the communication system with limited implementation overhead.
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spelling doaj.art-df65fa0a61d74d6fb9ba8a0c690bdde22022-12-21T20:30:24ZengIEEEIEEE Access2169-35362018-01-016177871780010.1109/ACCESS.2018.28176258320764Non-Cooperative Game Theoretic Power Allocation Strategy for Distributed Multiple-Radar Architecture in a Spectrum Sharing EnvironmentChenguang Shi0https://orcid.org/0000-0002-2507-2954Fei Wang1Mathini Sellathurai2Jianjiang Zhou3Key Laboratory of Radar Imaging and Microwave Photonics, Ministry of Education, Nanjing University of Aeronautics and Astronautics, Nanjing, ChinaKey Laboratory of Radar Imaging and Microwave Photonics, Ministry of Education, Nanjing University of Aeronautics and Astronautics, Nanjing, ChinaSchool of Engineering and Physical Sciences, Herriot Watt University, Edinburgh, U.K.Key Laboratory of Radar Imaging and Microwave Photonics, Ministry of Education, Nanjing University of Aeronautics and Astronautics, Nanjing, ChinaThis paper investigates the problem of non-cooperative game theoretic power allocation (NGTPA) for distributed multiple-radar architectures in a spectrum sharing environment, where multiple radars coexist with a communication system in the same frequency band. The primary objective of the multiple-radar system is to minimize the power consumption of each radar by optimizing the transmission power allocation, which is constrained by a predefined signal-to-interference-plus-noise ratio requirement for target detection and a maximum interference tolerant limit for communication system. Since each radar is rational and selfish to maximize its own utility, we utilize the non-cooperative game theoretic technique to tackle the distributed power allocation problem. Taking into consideration the target detection performance and received interference power at the communication receiver, a novel utility function is defined and employed as the optimization criterion for the NGTPA strategy. Furthermore, the existence and uniqueness of the proposed game's Nash equilibrium point are analytically proved. An iterative power allocation algorithm with low computational complexity and fast convergence is developed, where the optimal value of each radar's transmission power is simultaneously updated at the same time step. Numerical simulations are provided to verify the analysis and evaluate the performance of the proposed strategy as a function of the system parameters. It is shown that the distributed algorithm is effective for power allocation and could protect the communication system with limited implementation overhead.https://ieeexplore.ieee.org/document/8320764/Non-cooperative game theorypower allocationspectrum sharingNash equilibriumdistributed multiple-radar architecture
spellingShingle Chenguang Shi
Fei Wang
Mathini Sellathurai
Jianjiang Zhou
Non-Cooperative Game Theoretic Power Allocation Strategy for Distributed Multiple-Radar Architecture in a Spectrum Sharing Environment
IEEE Access
Non-cooperative game theory
power allocation
spectrum sharing
Nash equilibrium
distributed multiple-radar architecture
title Non-Cooperative Game Theoretic Power Allocation Strategy for Distributed Multiple-Radar Architecture in a Spectrum Sharing Environment
title_full Non-Cooperative Game Theoretic Power Allocation Strategy for Distributed Multiple-Radar Architecture in a Spectrum Sharing Environment
title_fullStr Non-Cooperative Game Theoretic Power Allocation Strategy for Distributed Multiple-Radar Architecture in a Spectrum Sharing Environment
title_full_unstemmed Non-Cooperative Game Theoretic Power Allocation Strategy for Distributed Multiple-Radar Architecture in a Spectrum Sharing Environment
title_short Non-Cooperative Game Theoretic Power Allocation Strategy for Distributed Multiple-Radar Architecture in a Spectrum Sharing Environment
title_sort non cooperative game theoretic power allocation strategy for distributed multiple radar architecture in a spectrum sharing environment
topic Non-cooperative game theory
power allocation
spectrum sharing
Nash equilibrium
distributed multiple-radar architecture
url https://ieeexplore.ieee.org/document/8320764/
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AT mathinisellathurai noncooperativegametheoreticpowerallocationstrategyfordistributedmultipleradararchitectureinaspectrumsharingenvironment
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