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Game-theoretic power allocation and the Nash equilibrium analysis for a multistatic MIMO radar network

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posted on 06.11.2017, 11:54 by Anastasios Deligiannis, Anastasia Panoui, Sangarapillai Lambotharan, Jonathon Chambers
CCBY We investigate a game-theoretic power allocation scheme and perform a Nash equilibrium analysis for a multistatic multiple-input multiple-output (MIMO) radar network. We consider a network of radars, organized into multiple clusters, whose primary objective is to minimize their transmission power, while satisfying a certain detection criterion. Since there is no communication between the distributed clusters, we incorporate convex optimization methods and noncooperative game-theoretic techniques based on the estimate of the signal to interference plus noise ratio (SINR) to tackle the power adaptation problem. Therefore, each cluster egotistically determines its optimal power allocation in a distributed scheme. Furthermore, we prove that the best response function of each cluster regarding this generalized Nash game (GNG) belongs to the framework of standard functions. The standard function property together with the proof of the existence of solution for the game guarantees the uniqueness of the Nash equilibrium. The mathematical analysis based on Karush-Kuhn-Tucker conditions reveal some interesting results in terms of number of active radars and the number of radars that over satisfy the desired SINRs. Finally, the simulation results confirm the convergence of the algorithm to the unique solution and demonstrate the distributed nature of the system.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

IEEE Transactions on Signal Processing

Volume

65

Issue

24

Citation

DELIGIANNIS, A. ...et al., 2017. Game-theoretic power allocation and the Nash equilibrium analysis for a multistatic MIMO radar network. IEEE Transactions on Signal Processing, 65(24), pp. 6397-6408.

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution 3.0 Unported (CC BY 3.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/3.0/

Publication date

2017-09-21

Notes

This is an Open Access Article. It is published by IEEE under the Creative Commons Attribution 3.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/3.0/

ISSN

1053-587X

Language

en

Licence

Exports