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JAMMING GAMES IN THE MIMO WIRETAP CHANNEL WITH
AN ACTIVE EAVESDROPPER
ABSTRACT:
This paper investigates reliable and covert transmission strategies in a multiple-input multipleoutput (MIMO) wiretap channel with a transmitter, receiver and an adversarial wiretapper, each
equipped with multiple antennas. In a departure from existing work, the wiret apper possesses a
novel capability to act either as a passive eavesdropper or as an active jammer, under a halfduplex constraint. The transmitter therefore faces a choice between allocating all of its power for
data, and broadcasting artificial interference along with the information signal in an attempt to
jam the eavesdropper.
We model their interactions as a two-person zero-sum game with the ergodic MIMO secrecy rate
as the payoff function. We first examine conditions for the existence of pure-strategy Nash
equilibria (NE) and the structure of mixed-strategy NE for the strategic form of the game. We
then derive equilibrium strategies for the extensive form of the game where players move
sequentially under scenarios of perfect and imperfect information. Finally, numerical simulations
are presented to examine the equilibrium outcomes of the various scenarios considered.