Gaussian Jamming in Block-Fading Channels under Long Term Power Constraints

We formulate a Gaussian uncorrelated jamming problem in block fading channels under long term power constraints. Source aims at minimizing the outage probability of its transmission under the presence of a malicious jammer, while the jammer attempts to maximize the corresponding outage probability under its average power constraint. Optimal power control strategies for both source and jammer are obtained for minimax and maxmin problems, respectively, for any arbitrary finite number of blocks in block fading channels. Our results demonstrate the non-existence of Nash-equilibria of this two- person zero-sum game.