The jamming game in an OFDM setting

Orthogonal frequency division multiplexing (OFDM) has been chosen as the physical layer solution for a large variety of emerging and future wireless networks, due to its robustness in coping with frequency selective channels and efficient transceiver implementation. Its adoption in the transmission architecture should therefore be properly taken into account when designing or analyzing security solutions at the physical layer. We consider a jamming game with OFDM transmission, that is a zero-sum game between transmitter/receiver and jammer where the payoff function is the mutual information between the transmitted and received symbols, and we assume complete knowledge of the channel states and uncorrelated jamming. By establishing similarity with a MIMO Gaussian channel we evaluate the payoff function at the Nash equilibrium and derive the optimal signaling strategies to be implemented by the transmitter and the jammer.