Reliable Communication under the Influence of a State-Constrained Jammer: An Information-Theoretic Perspective on Receive Diversity
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.
Key wordsarbitrarily varying channel unknown interference deterministic coding receive diversity super-activation continuity
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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.
- 9.Schaefer, R.F. and Boche, H., How Much Coordination Is Needed for Robust Broadcasting over Arbitrarily Varying Bidirectional Broadcast Channels, in Proc. 2014 IEEE Int. Conf. on Communications (ICC’2014), Sydney, Australia, June 10–14, 2014, pp. 1872–1877.Google Scholar
- 10.Boche, H. and Schaefer, R.F., Capacity Results, Coordination Resources, and Super-activation in Wiretap Channels, in Proc. 2013 IEEE Int. Sympos. on Information Theory (ISIT’2013), Istanbul, Turkey, July 7–12, 2013, pp. 1342–1346.Google Scholar
- 12.Boche, H., Schaefer, R.F., and Poor, H.V., On Arbitrarily Varying Wiretap Channels for Different Classes of Secrecy Measures, in Proc. 2014 IEEE Int. Sympos. on Information Theory (ISIT’2014), Honolulu, HI, USA, June 29–July 4, 2014, pp. 2376–2380.Google Scholar
- 14.Schaefer, R.F., Boche, H., and Poor, H.V., Super-activation as a Unique Feature of Arbitrarily Varying Wiretap Channels, in Proc. 2016 IEEE Int. Sympos. on Information Theory (ISIT’2016), Barcelona, Spain, July 10–15, 2016, pp. 3077–3081.Google Scholar
- 20.Boche, H. and Nöotzel, J., Positivity, Discontinuity, Finite Resources, Nonzero Error for Arbitrarily Varying Quantum Channels, in Proc. 2014 IEEE Int. Sympos. on Information Theory (ISIT’2014), Honolulu, HI, USA, June 29–July 4, 2014, pp. 541–545.Google Scholar
- 22.Arendt, C., Nöotzel, J., and Boche, H., Super-activation of the Composite Independent Arbitrarily Varying Channel under State Constraints, in Proc. IEEE Global Communications Conf. (GLOBECOM’2017), Singapore, Dec. 4–8, 2017, pp. 1–6.Google Scholar
- 24.Noötzel, J. and Arendt, C., Using Dependent Component Analysis for Blind Channel Estimation in Distributed Antenna Systems, in Proc. 2016 Global Conf. on Signal and Information Processing (GlobalSIP’2016), Washington, DC, USA, Dec. 7–9, 2016, pp. 1116–1121.Google Scholar
- 25.Ahlswede, R. and Cai, N., Arbitrarily Varying Multiple-Access Channels. II: Correlated Sender’s Side Information, Correlated Messages, and Ambiguous Transmission, in Proc. 1997 IEEE Int. Sympos. on Information Theory (ISIT’97), Ulm, Germany, June 29–July 4, 1997, p. 23.Google Scholar
- 28.IEEE 802.11-2016: IEEE Standard for Information Technology—Telecommunications and Information Exchange between Systems. Local and Metropolitan Area Networks—Specific Requirements. Part 11: Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) Specifications. 2016.Google Scholar
- 29.ETSI ES 202 663 V1.1.0 (2009-11): ETSI Standard Intelligent Transport Systems (ITS); European Profile Standard for the Physical and Medium Access Control Layer of Intelligent Transport Systems Operating in the 5 GHz Frequency Band. Final draft, 2011.Google Scholar
- 31.Khan, A., Almeida, J., Fernandes, B., Alam, M., Pedreiras, P., and Ferreira, J., Towards Reliable Wireless Vehicular Communications, in Proc. 2015 IEEE 18th Int. Conf. on Intelligent Transportation Systems (ITSC’2015), Canary Islands, Spain, Sept. 15–18, 2015, pp. 167–172.Google Scholar
- 32.Arendt, C., Nöotzel, J., and Boche, H., Evaluation of Distributed Post-Detection Receive Diversity Combining Schemes for Reliable Wireless Communication over Arbitrarily Varying Channels, in Proc. 2018 IEEE 88th Vehicular Technology Conf. (VTC-Fall), Chicago, IL, USA, Aug. 27–30, 2018, pp. 1–6.Google Scholar