07855581.pdf (1.84 MB)
0/0

Game theoretic analysis for MIMO radars with multiple targets

Download (1.84 MB)
journal contribution
posted on 04.07.2016 by Anastasios Deligiannis, Sangarapillai Lambotharan, Jonathon Chambers
This paper considers a distributed beamforming and resource allocation technique for a radar system in the presence of multiple targets. The primary objective of each radar is to minimize its transmission power while attaining an optimal beamforming strategy and satisfying a certain detection criterion for each of the targets. Therefore, we use convex optimization methods together with noncooperative and partially cooperative game theoretic approaches. Initially, we consider a strategic noncooperative game (SNG), where there is no communication between the various radars of the system. Hence each radar selfishly determines its optimal beamforming and power allocation. Subsequently, we assume a more coordinated game theoretic approach incorporating a pricing mechanism. Introducing a price in the utility function of each radar/player, enforces beamformers to minimize the interference induced to other radars and to increase the social fairness of the system. Furthermore, we formulate a Stackelberg game by adding a surveillance radar to the system model, which will play the role of the leader, and hence the remaining radars will be the followers. The leader applies a pricing policy of interference charged to the followers aiming at maximizing his profit while keeping the incoming interference under a certain threshold. We also present a proof of the existence and uniqueness of the Nash Equilibrium (NE) in both the partially cooperative and noncooperative games. Finally, the simulation results confirm the convergence of the algorithm in all three cases.

Funding

This work was supported by the Engineering and Physical Sciences Research Council (EPSRC) Grant number EP/K014307/1 and the MOD University Defence Research Collaboration (UDRC) in Signal Processing.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

IEEE Transactions on Aerospace and Electronic Systems

Citation

DELIGIANNIS, A., LAMBOTHARAN, S. and CHAMBERS, J., 2016. Game theoretic analysis for MIMO radars with multiple targets. IEEE Transactions on Aerospace and Electronic Systems, 52 (4), pp. 1855 - 1865.

Publisher

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/

Acceptance date

21/06/2016

Publication date

2016-12-01

Notes

This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0.

ISSN

1557-9603

Language

en

Licence

Exports

Logo branding

Keyword(s)

Licence

Exports