Abstract
The impact of diversity on reliable communication over arbitrarily varying channels (AVC) is investigated as follows. First, the concept of an identical state-constrained jammer is motivated. Second, it is proved that symmetrizability of binary symmetric AVCs (AVBSC) caused by identical state-constrained jamming is circumvented when communication takes place over at least three orthogonal channels. Third, it is proved that the deterministic capacity of the identical state-constrained AVBSC is continuous and shows super-activation. This effect was hitherto demonstrated only for quantum communication and for classical communication under secrecy constraints.
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Acknowledgement
The first author would like to thank P. Fertl and A. Posselt from the BMW Group for supporting his studies. Moreover, the authors would like to thank an unknown reviewer for useful comments and detailed examination of the present manuscript.
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Russian Text © The Author(s), 2019, published in Problemy Peredachi Informatsii, 2019, Vol. 55, No. 2, pp. 3–27.
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Arendt, C., Nötzel, J. & Boche, H. Reliable Communication under the Influence of a State-Constrained Jammer: An Information-Theoretic Perspective on Receive Diversity. Probl Inf Transm 55, 101–123 (2019). https://doi.org/10.1134/S0032946019020017
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DOI: https://doi.org/10.1134/S0032946019020017