Jamming Games in the MIMO Wiretap Channel With an Active Eavesdropper
- 3 October 2012
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 61 (1), 82-91
- https://doi.org/10.1109/tsp.2012.2222386
Abstract
This paper investigates reliable and covert transmission strategies in a multiple-input multiple-output (MIMO) wiretap channel with a transmitter, receiver and an adversarial wiretapper, each equipped with multiple antennas. In a departure from existing work, the wiretapper possesses a novel capability to act either as a passive eavesdropper or as an active jammer, under a half-duplex constraint. The transmitter therefore faces a choice between allocating all of its power for data, or broadcasting artificial interference along with the information signal in an attempt to jam the eavesdropper (assuming its instantaneous channel state is unknown). To examine the resulting trade-offs for the legitimate transmitter and the adversary, 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.Keywords
Other Versions
This publication has 28 references indexed in Scilit:
- Robust Beamforming for Security in MIMO Wiretap Channels With Imperfect CSIIEEE Transactions on Signal Processing, 2010
- Multiple antenna spectrum sensing in cognitive radiosIEEE Transactions on Wireless Communications, 2010
- A Note on the Secrecy Capacity of the Multiple-Antenna Wiretap ChannelIEEE Transactions on Information Theory, 2009
- Guaranteeing Secrecy using Artificial NoiseIEEE Transactions on Wireless Communications, 2008
- Correlated Jamming on MIMO Gaussian Fading ChannelsIEEE Transactions on Information Theory, 2004
- The worst additive noise under a covariance constraintIEEE Transactions on Information Theory, 2001
- On the capacity of channels with block memoryIEEE Transactions on Information Theory, 1988
- The Gaussian wire-tap channelIEEE Transactions on Information Theory, 1978
- Broadcast channels with confidential messagesIEEE Transactions on Information Theory, 1978
- The Wire-Tap ChannelBell System Technical Journal, 1975