Game theory modeling of MIMO radar and ARM missile engagement

In this paper, Multi Input-Multi-Output (MIMO) radar and Anti-Radiation Missiles (ARMs) engagement is modeled using game theory. In this game, each player (radars and missiles) tries to maximize his payoff in Nash equilibrium point. In this paper, for simplification and better understanding, simplified model of 2 radars and 2 missiles engagement in three time steps is investigated at first, In which, it is assumed that radars are not turned on and off simultaneously, and the missiles do not attack the same radar at the same time. Then, model of 2 radars and 2 missiles engagement in three time steps with elimination of aforementioned assumptions is considered, and the simulation results are provided and investigated. Finally, the general form of MIMO Radar and ARM Missiles engagement modeling (r number of radars and m number of missiles) in n time steps, using game theory is investigated and discussed. In this general form investigation, the influence of time step enhancement, radar enhancement, and missile enhancement on the modelling is addressed, separately. In this paper, MATLAB software is utilized for the system modeling and simulation.

[1]  Yaser Norouzi,et al.  Scheduling the usage of radar and jammer during peace and war time , 2012 .

[2]  E. Larsson,et al.  Game theory and the flat-fading gaussian interference channel , 2009, IEEE Signal Processing Magazine.

[3]  Sergei A. Vakin,et al.  Fundamentals of Electronic Warfare , 2000 .

[4]  A. E. Spezio.  Electronic warfare systems , 2002 .

[5]  K. J. Ray Liu,et al.  Cognitive Radio Networking and Security: A Game-Theoretic View , 2010 .

[6]  Darren John Bachmann,et al.  Game Theoretic Analysis of Adaptive Radar Jamming , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[7]  Chase Qishi Wu,et al.  A Survey of Game Theory as Applied to Network Security , 2010, 2010 43rd Hawaii International Conference on System Sciences.

[8]  E. Rasmusen.  Games and Information: An Introduction to Game Theory , 2006 .

[9]  Martin J. Osborne,et al.  An Introduction to Game Theory , 2003 .

[10]  M. Weiss,et al.  On Optimal Minimax Jamming and Detection of Radar Signals , 1985, IEEE Transactions on Aerospace and Electronic Systems.

[11]  R. Srikant,et al.  Correlated Jamming on MIMO Gaussian Fading Channels , 2004, IEEE Trans. Inf. Theory.

[12]  Georgios B. Giannakis,et al.  Mutual Information Jammer-Relay Games , 2008, IEEE Trans. Inf. Forensics Secur..