Writing on a dirty paper in the presence of jamming

In this paper, the problem of writing on a dirty paper in the presence of jamming is examined. We consider an AWGN channel with an additive white Gaussian state and an additive adversarial jammer. The state is assumed to be known non-causally to the encoder and the jammer but not to the decoder. The capacity of the channel in the presence of a jammer is determined. A surprising result that this capacity is equal to the capacity of a relaxed version of the problem, where the state is also known non-causally to the decoder, is proved.

[1]  Abbas El Gamal,et al.  Network Information Theory , 2021, 2021 IEEE 3rd International Conference on Advanced Trends in Information Theory (ATIT).

[2]  R. Gallager Information Theory and Reliable Communication , 1968 .

[3]  Max H. M. Costa,et al.  Writing on dirty paper , 1983, IEEE Trans. Inf. Theory.

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

[5]  Sennur Ulukus,et al.  Mutual Information Games in Multi-user Channels with Correlated Jamming , 2006, ArXiv.

[6]  Tamer Basar,et al.  With the Capacity 0.461(bits) and the Optimal Opd Being 'q = , 1998 .